tag:blogger.com,1999:blog-78888442841825314312024-03-13T22:20:10.903-07:00TERMINOS SEMEJANTESprofe raulhttp://www.blogger.com/profile/15459655433738866660noreply@blogger.comBlogger1125tag:blogger.com,1999:blog-7888844284182531431.post-46750979087073681232012-06-21T14:59:00.000-07:002012-06-21T20:31:18.922-07:00<div class="separator" style="clear: both; text-align: center;">
<span style="text-align: -webkit-auto;">TERMINOS SEMEJANTES</span></div>
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<span style="font-family: 'Matura MT Script Capitals'; font-size: 14pt; line-height: 115%;">Por Raúl
Villavicencio<o:p></o:p></span></div>
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<a href="http://www.blogger.com/blogger.g?blogID=7888844284182531431" name="menu"><b>CONTENIDO<o:p></o:p></b></a></div>
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HOJAS DE TRABAJO PARA
REAFIRMAR CONOCIMIENTOS BASICOS </div>
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<span style="background-color: white;">INCLUYE RESPUESTAS</span><span style="background-color: white;"> </span><br />
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<span style="color: red; font-family: Arial, Helvetica, sans-serif;"><b style="background-color: yellow;">OTRAS PAGINAS DEL MISMO AUTOR</b></span><span style="background-color: white;"> </span></div>
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<span style="background-color: white;"> </span><b style="background-color: white;"><span style="background-color: #073763; color: white; font-size: large;"> TEMA DE ALGEBRA: TERMINOS SEMEJANTES </span></b></div>
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<b><span style="background-color: black; color: yellow;"> 2.<span style="font-size: 7pt;"> </span>DEFINICION: </span></b></div>
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<span style="font-family: Arial, Helvetica, sans-serif;"><b>TERMINOS SEMEJANTES.</b> Son aquellos términos que coinciden
en sus literales con sus respectivos exponentes.</span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;">Ejemplo:
6x<sup>3</sup> y -9x<sup>3</sup>, son términos semejantes pues coinciden
en su literal x, elevada al cubo 3.</span></div>
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<span style="background-color: white;"><span style="font-family: Arial, Helvetica, sans-serif;"><br /></span></span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;"><span style="background-color: white;">Ejemplo. 4a</span><sup style="background-color: white;">2</sup><span style="background-color: white;"> y 4x</span><sup style="background-color: white;">2</sup><span style="background-color: white;"> ,
no son semejantes pues no coinciden sus literales.</span></span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;">Ejemplo: -8x<sup>3</sup>y y xy<sup>3</sup>
, no son semejantes pues coinciden en sus literales, pero no tienen iguales sus
respectivos exponentes.</span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;">Ejemplo:
- 2abc y – 7bac, son términos semejantes pues tienen iguales las mismas
literales con sus respectivos exponentes aunque no estén en el mismo orden.</span></div>
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<br /></div>
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<span style="font-family: Arial, Helvetica, sans-serif;">Ejemplo:
4x<sup>5</sup>, - 8x<sup>5</sup>, son semejantes aunque tengan diferente
signo y diferente coeficiente.</span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;">2.<span style="font-size: 7pt;">
</span><b>REDUCCION DE TERMINOS SEMEJANTES</b></span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;">Si en alguna expresión algebraica
de varios términos hay dos o más que sean semejantes, es necesario reducirlos
para simplificar dicha expresión.</span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;">Ejemplo: el binomio 7x + 15x, puede reducirse
así: 22x.</span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;">Ejemplo: - 3ab + 4ab, puede
reducirse así: ab</span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;"><span style="font-size: 7pt;"><b></b></span><b> </b></span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;"><b> </b><span style="background-color: black; color: yellow;"><b>3. REDUCCION DE TERMINOS SEMEJANTES POSITIVOS</b></span></span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;"><b><br /></b></span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;"><b>REGLA</b>: Se suman sus coeficientes
y se conserva el signo positivo.</span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;">ax
+ bx = (a + b)x</span></div>
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<li style="line-height: 250%;"><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">1.</span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 7pt; line-height: normal; text-indent: -18pt;"> </span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">a
+ a =</span></li>
<li style="line-height: 250%;"><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">2.</span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 7pt; line-height: normal; text-indent: -18pt;"> </span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">7a+
9a =</span></li>
<li style="line-height: 250%;"><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">3.</span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 7pt; line-height: normal; text-indent: -18pt;"> </span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">5ab
+ ab =</span></li>
<li style="line-height: 250%;"><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">4.</span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 7pt; line-height: normal; text-indent: -18pt;"> </span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">8m</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">3</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">
+ 9m</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">3</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;"> =</span></li>
<li style="line-height: 250%;"><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">5.</span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 7pt; line-height: normal; text-indent: -18pt;"> </span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">7ab
+ 3ab + ab =</span></li>
<li style="line-height: 250%;"><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">6.</span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 7pt; line-height: normal; text-indent: -18pt;"> </span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">6m</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">2</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">
+ 8m + 15m + 4m</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">2</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;"> =</span></li>
<li style="line-height: 250%;"><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">7.</span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 7pt; line-height: normal; text-indent: -18pt;"> </span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">5x</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">2</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">y
+ 9 + 4x</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">2</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">y + 1 =</span></li>
<li style="line-height: 250%;"><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">8.</span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 7pt; line-height: normal; text-indent: -18pt;"> </span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">8x
+ 32y + 5z + 12z + 8y + 8x =</span></li>
<li style="line-height: 250%;"><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">9.</span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 7pt; line-height: normal; text-indent: -18pt;"> </span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">5(x
+ y) + 3(x + y) =</span></li>
<li style="line-height: 250%;"><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 200%; text-indent: -18pt;">0.</span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 7pt; line-height: normal; text-indent: -18pt;"> </span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 200%; text-indent: -18pt;">8c</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 200%; text-indent: -18pt;">4</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 200%; text-indent: -18pt;">
+ 2c</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 200%; text-indent: -18pt;">3</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 200%; text-indent: -18pt;"> + 5 + 5c</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 200%; text-indent: -18pt;">3</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 200%; text-indent: -18pt;"> + 9c</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 200%; text-indent: -18pt;">4</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 200%; text-indent: -18pt;"> + 37 + c</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 200%; text-indent: -18pt;">3</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 200%; text-indent: -18pt;"> =</span></li>
</ol>
</div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; text-align: center;">
<span style="font-family: Arial, Helvetica, sans-serif;"><br /></span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; text-align: center;">
<span style="font-family: Arial, Helvetica, sans-serif;">RESPUESTAS --></span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; text-align: center;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; text-align: center; text-indent: -18pt;">
<span style="font-family: Arial, Helvetica, sans-serif;"><br /></span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; text-align: center; text-indent: -18pt;">
<span style="color: yellow; font-family: Arial, Helvetica, sans-serif;"><b style="background-color: black;">4.<span style="font-size: 7pt; line-height: normal;"> </span>REDUCCION
DE TERMINOS SEMEJANTES POSITIVOS</b></span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; text-align: center;">
<span style="font-family: Arial, Helvetica, sans-serif;"><br /></span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; text-align: center;">
<span style="font-family: Arial, Helvetica, sans-serif;">RESPUESTAS</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; text-align: center;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 250%; text-align: center; text-indent: -18pt;">
<div style="text-align: left;">
</div>
<ol>
<li><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">1.</span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 7pt; line-height: normal; text-indent: -18pt;"> </span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">a
+ a = (1 + 1)a = 2a</span></li>
<li><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">2.</span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 7pt; line-height: normal; text-indent: -18pt;"> </span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">7a+
9a = 16a</span></li>
<li><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">3.</span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 7pt; line-height: normal; text-indent: -18pt;"> </span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">5ab
+ ab = 6ab</span></li>
<li><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">4.</span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 7pt; line-height: normal; text-indent: -18pt;"> </span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">8m</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">3</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">
+ 9m</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">3</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;"> = 17m</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">3</sup></li>
<li><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">5.</span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 7pt; line-height: normal; text-indent: -18pt;"> </span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">7ab
+ 3ab + ab = 11ab</span></li>
<li><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">6.</span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 7pt; line-height: normal; text-indent: -18pt;"> </span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">6m</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">2</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">
+ 8m + 15m + 4m</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">2</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;"> = 10m</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">2</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;"> + 23m</span></li>
<li><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">7.</span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 7pt; line-height: normal; text-indent: -18pt;"> </span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">5x</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">2</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">y
+ 9 + 4x</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">2</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">y + 1 = 9x</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">2</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">y + 10</span></li>
<li><span style="background-color: white; line-height: 250%; text-indent: -18pt;">8.</span><span style="background-color: white; font-size: 7pt; line-height: normal; text-indent: -18pt;"> </span><span style="background-color: white; line-height: 250%; text-indent: -18pt;">8x
+ 32y + 5z + 12z + 8y + 8x = 16x + 40y + 17z</span></li>
<li><span style="background-color: white; line-height: 250%; text-indent: -18pt;">9.</span><span style="background-color: white; font-size: 7pt; line-height: normal; text-indent: -18pt;"> </span><span style="background-color: white; line-height: 250%; text-indent: -18pt;">5(x
+ y) + 3(x + y) = 8(x + y)</span></li>
<li><span style="background-color: white; line-height: 300%; text-indent: -18pt;">0.</span><span style="background-color: white; font-size: 7pt; line-height: normal; text-indent: -18pt;"> </span><span style="background-color: white; line-height: 300%; text-indent: -18pt;">8c</span><sup style="background-color: white; line-height: 300%; text-indent: -18pt;">4</sup><span style="background-color: white; line-height: 300%; text-indent: -18pt;">
+ 2c</span><sup style="background-color: white; line-height: 300%; text-indent: -18pt;">3</sup><span style="background-color: white; line-height: 300%; text-indent: -18pt;"> + 5 + 5c</span><sup style="background-color: white; line-height: 300%; text-indent: -18pt;">3</sup><span style="background-color: white; line-height: 300%; text-indent: -18pt;"> + 9c</span><sup style="background-color: white; line-height: 300%; text-indent: -18pt;">4</sup><span style="background-color: white; line-height: 300%; text-indent: -18pt;"> + 37 + c</span><sup style="background-color: white; line-height: 300%; text-indent: -18pt;">3</sup><span style="background-color: white; line-height: 300%; text-indent: -18pt;"> =
17c</span><sup style="background-color: white; line-height: 300%; text-indent: -18pt;">4</sup><span style="background-color: white; line-height: 300%; text-indent: -18pt;"> + 8c</span><sup style="background-color: white; line-height: 300%; text-indent: -18pt;">3</sup><span style="background-color: white; line-height: 300%; text-indent: -18pt;"> + 42</span></li>
</ol>
</div>
<div class="MsoNormal" style="line-height: 300%; text-align: center;">
<br /></div>
<div class="MsoListParagraphCxSpFirst" style="line-height: 200%; text-align: center; text-indent: -18pt;">
<b><span style="background-color: black; color: yellow; font-family: Verdana, sans-serif;">5.<span style="font-size: 7pt; line-height: normal;"> </span>REDUCCION
DE TERMINOS SEMEJANTES NEGATIVOS</span></b></div>
<div class="MsoListParagraphCxSpLast" style="text-align: center;">
<br /></div>
<div class="MsoListParagraphCxSpLast" style="text-align: left;">
<b><span style="font-family: Arial, Helvetica, sans-serif;">REGLA: Se suman sus coeficientes y se
conserva el signo negativo.</span></b></div>
<div class="MsoNormal" style="line-height: 200%; margin-left: 36pt; text-align: center;">
<b><span style="font-family: Arial, Helvetica, sans-serif;"><span style="color: #1f497d;">-</span> ax
- bx = - (a + b)x</span></b></div>
<div class="MsoNormal" style="line-height: 200%; margin-left: 36pt; text-align: left;">
<b><span style="font-family: Arial, Helvetica, sans-serif;">1. – 5a – 8a =</span></b></div>
<div class="MsoNormal" style="line-height: 200%; margin-left: 36pt; text-align: left;">
<b><span style="font-family: Arial, Helvetica, sans-serif;">2. – 4x – 23x =</span></b></div>
<div class="MsoNormal" style="line-height: 200%; margin-left: 36pt; text-align: left;">
<b><span style="font-family: Arial, Helvetica, sans-serif;">3. – x – x – x =</span></b></div>
<div class="MsoNormal" style="line-height: 200%; margin-left: 36pt; text-align: left;">
<b><span style="font-family: Arial, Helvetica, sans-serif;">4. – 4m – 2m –
11m – m = </span></b></div>
<div class="MsoNormal" style="line-height: 200%; margin-left: 36pt; text-align: left;">
<b><span style="font-family: Arial, Helvetica, sans-serif;">5. – 3x<sup>2</sup>
– 6x<sup>2</sup> – 5x<sup>2</sup> =</span></b></div>
<div class="MsoNormal" style="line-height: 200%; margin-left: 36pt; text-align: left;">
<b><span style="font-family: Arial, Helvetica, sans-serif;">6. – x<sup>3</sup>
– x<sup>2</sup> – 3x<sup>3</sup> – 6x<sup>2</sup> =</span></b></div>
<div class="MsoNormal" style="line-height: 200%; margin-left: 36pt; text-align: left;">
<b><span style="font-family: Arial, Helvetica, sans-serif;"><span lang="EN-US">7. – 4</span><span lang="EN-US">√</span><span lang="EN-US">x - 12</span><span lang="EN-US">√</span><span lang="EN-US">x - 7</span><span lang="EN-US">√</span><span lang="EN-US">x - 6 = <o:p></o:p></span></span></b></div>
<div class="MsoNormal" style="line-height: 200%; margin-left: 36pt; text-align: left;">
<span lang="EN-US"><b><span style="font-family: Arial, Helvetica, sans-serif;">8. – 32ab<sup>2</sup> – 7ab – 9 –
6ab<sup>2</sup> – 2ab – 9 =<o:p></o:p></span></b></span></div>
<div class="MsoNormal" style="line-height: 200%; margin-left: 36pt; text-align: left;">
<span lang="EN-US"><b><span style="font-family: Arial, Helvetica, sans-serif;">9. – 4(ab)<sup>3</sup> – 3(ab)<sup>2</sup>
– 9(ab)<sup>2</sup> – 6(ab)<sup>3</sup> =<o:p></o:p></span></b></span></div>
<div class="MsoNormal" style="text-align: left;">
<span lang="EN-US"><b><span style="font-family: Arial, Helvetica, sans-serif;"> 10. – 11<u>a</u> – 4<u>a</u> – 3<u>a</u> =
<o:p></o:p></span></b></span></div>
<div class="MsoNormal" style="text-align: left;">
<span lang="EN-US"><b><span style="font-family: Arial, Helvetica, sans-serif;"> </span></b> <o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 80%; text-align: center;">
<br /></div>
<div class="MsoNormal" style="line-height: 80%; text-align: center;">
<br /></div>
<div class="MsoNormal" style="line-height: 80%; text-align: center;">
<br /></div>
<div class="MsoListParagraphCxSpFirst" style="line-height: 200%; text-align: center;">
<span lang="EN-US">RESPUESTAS
</span><span lang="EN-US" style="font-family: Wingdings;">à</span><span lang="EN-US"><o:p></o:p></span><br />
<span lang="EN-US" style="font-family: Wingdings;"><br /></span></div>
<div class="MsoListParagraphCxSpLast" style="line-height: 200%; text-align: center; text-indent: -18pt;">
<b><span style="background-color: black; color: yellow;">6.<span style="font-size: 7pt; line-height: normal;"> </span>REDUCCION
DE TERMINOS SEMEJANTES NEGATIVOS</span></b></div>
<div class="MsoNormal" style="margin-left: 36pt; text-align: center;">
<span lang="EN-US">RESPUESTAS<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 200%; margin-left: 36pt; text-align: center;">
<br /></div>
<div class="MsoNormal" style="line-height: 250%; margin-left: 36pt; text-align: center;">
<div style="text-align: left;">
<span lang="EN-US" style="font-family: Arial, Helvetica, sans-serif;">1. – 5a – 8a = - (5 + 8)a = - 13a<o:p></o:p></span></div>
</div>
<div class="MsoNormal" style="line-height: 250%; margin-left: 36pt; text-align: center;">
<div style="text-align: left;">
<span lang="EN-US" style="font-family: Arial, Helvetica, sans-serif;">2. – 4x – 23x = - 27x<o:p></o:p></span></div>
</div>
<div class="MsoNormal" style="line-height: 250%; margin-left: 36pt; text-align: center;">
<div style="text-align: left;">
<span lang="EN-US" style="font-family: Arial, Helvetica, sans-serif;">3. – x – x – x = - 3x<o:p></o:p></span></div>
</div>
<div class="MsoNormal" style="line-height: 250%; margin-left: 36pt; text-align: center;">
<div style="text-align: left;">
<span lang="EN-US" style="font-family: Arial, Helvetica, sans-serif;">4. – 4m – 2m – 11m – m = - 18m<o:p></o:p></span></div>
</div>
<div class="MsoNormal" style="line-height: 250%; margin-left: 36pt; text-align: center;">
<div style="text-align: left;">
<span lang="EN-US" style="font-family: Arial, Helvetica, sans-serif;">5. – 3x<sup>2</sup> – 6x<sup>2</sup>
– 5x<sup>2</sup> = - 14x<sup>2<o:p></o:p></sup></span></div>
</div>
<div class="MsoNormal" style="line-height: 250%; margin-left: 36pt; text-align: center;">
<div style="text-align: left;">
<span lang="EN-US" style="font-family: Arial, Helvetica, sans-serif;">6. – x<sup>3</sup> – x<sup>2</sup> –
3x<sup>3</sup> – 6x<sup>2</sup> = - x<sup>3</sup> – 7x<sup>2</sup><o:p></o:p></span></div>
</div>
<div class="MsoNormal" style="line-height: 250%; margin-left: 36pt; text-align: center;">
<div style="text-align: left;">
<span style="font-family: Arial, Helvetica, sans-serif;"><span lang="EN-US">7. – 4</span><span lang="EN-US">√</span><span lang="EN-US">x - 12</span><span lang="EN-US">√</span><span lang="EN-US">x - 7</span><span lang="EN-US">√</span><span lang="EN-US">x - 6 = - 23</span><span lang="EN-US">√</span><span lang="EN-US">x - 6<o:p></o:p></span></span></div>
</div>
<div class="MsoNormal" style="line-height: 250%; margin-left: 36pt; text-align: center;">
<div style="text-align: left;">
<span lang="EN-US" style="font-family: Arial, Helvetica, sans-serif;">8. – 32ab<sup>2</sup> – 7ab – 9 –
6ab<sup>2</sup> – 2ab – 9 = - 38ab<sup>2</sup> – 9ab - 18<o:p></o:p></span></div>
</div>
<div class="MsoNormal" style="line-height: 250%; margin-left: 36pt; text-align: center;">
<div style="text-align: left;">
<span lang="EN-US" style="font-family: Arial, Helvetica, sans-serif;">9. – 4(ab)<sup>3</sup> – 3(ab)<sup>2</sup>
– 9(ab)<sup>2</sup> – 6(ab)<sup>3</sup> = - 10(ab)<sup>3</sup> – 12(ab)<sup>2</sup><o:p></o:p></span></div>
</div>
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<div style="text-align: left;">
<span lang="EN-US"><span style="font-family: Arial, Helvetica, sans-serif;"> 10. – 11 <u>a</u> – 4 <u>a</u> – 3 <u>a</u> = -
18 <u>a</u> </span>
<o:p></o:p></span></div>
</div>
<div class="MsoNormal" style="text-align: center;">
<span lang="EN-US"> <o:p></o:p></span><br />
<span lang="EN-US"><br /></span></div>
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<br /></div>
<div class="MsoListParagraph" style="text-align: center; text-indent: -18pt;">
<b><span style="background-color: black; color: yellow;">7.<span style="font-size: 7pt;">
</span>REDUCCION DE TERMINOS SEMEJANTES DE DIFERENTE
SIGNO</span></b><br />
<span style="background-color: white; font-family: Arial, Helvetica, sans-serif; text-align: left;"><br /></span><br />
<span style="background-color: white; font-family: Arial, Helvetica, sans-serif; text-align: left;">REGLA: SE RESTAN LOS
COEFICIENTES Y SE CONSERVA EL SIGNO DEL MAYOR TERMINO.</span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; text-align: left;">ax – bx = (a – b)x , el signo del resultado es igual al del
coeficiente mayor.</span><br />
<span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 200%; text-align: left; text-indent: -18pt;"><br /></span></div>
<div class="MsoNormal" style="text-align: center;">
<div style="text-align: left;">
</div>
<ol>
<li style="text-align: left;"><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 7pt; text-indent: -18pt;"> </span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 200%; text-indent: -18pt;">7x
– 5x =</span></li>
<li style="text-align: left;"><span style="font-family: Arial, Helvetica, sans-serif;"><span style="background-color: white; font-size: 7pt; text-indent: -18pt;"> </span><span style="background-color: white; line-height: 200%; text-indent: -18pt;">36y
– 21y =</span></span></li>
<li style="text-align: left;"><span style="font-family: Arial, Helvetica, sans-serif;"><span style="background-color: white; font-size: 7pt; text-indent: -18pt;"> </span><span style="background-color: white; line-height: 200%; text-indent: -18pt;">–
4a + 15a =</span></span></li>
<li style="text-align: left;"><span style="font-family: Arial, Helvetica, sans-serif;"><span style="background-color: white; font-size: 7pt; text-indent: -18pt;"> </span><span style="background-color: white; line-height: 200%; text-indent: -18pt;">8m</span><sup style="background-color: white; line-height: 200%; text-indent: -18pt;">2</sup><span style="background-color: white; line-height: 200%; text-indent: -18pt;">
– 20m</span><sup style="background-color: white; line-height: 200%; text-indent: -18pt;">2</sup><span style="background-color: white; line-height: 200%; text-indent: -18pt;"> =</span></span></li>
<li style="text-align: left;"><span style="font-family: Arial, Helvetica, sans-serif;"><span style="background-color: white; font-size: 7pt; text-indent: -18pt;"> </span><span style="background-color: white; line-height: 200%; text-indent: -18pt;">–
72ab + 65ab =</span></span></li>
<li style="text-align: left;"><span style="font-family: Arial, Helvetica, sans-serif;"><span style="background-color: white; font-size: 7pt; text-indent: -18pt;"> </span><span style="background-color: white; line-height: 200%; text-indent: -18pt;">29x</span><sup style="background-color: white; line-height: 200%; text-indent: -18pt;">3</sup><span style="background-color: white; line-height: 200%; text-indent: -18pt;">y
– 96x</span><sup style="background-color: white; line-height: 200%; text-indent: -18pt;">3</sup><span style="background-color: white; line-height: 200%; text-indent: -18pt;">y =</span></span></li>
<li style="text-align: left;"><span style="font-family: Arial, Helvetica, sans-serif;"><span style="background-color: white; font-size: 7pt; text-indent: -18pt;"> </span><span style="background-color: white; line-height: 200%; text-indent: -18pt;">–
x + 10x =</span></span></li>
<li style="text-align: left;"><span style="font-family: Arial, Helvetica, sans-serif;"><span style="background-color: white; font-size: 7pt; text-indent: -18pt;"> </span><span style="background-color: white; line-height: 200%; text-indent: -18pt;">7(x
– 2y) – 12(x – 2y) =</span></span></li>
<li style="text-align: left;"><span style="font-family: Arial, Helvetica, sans-serif;"><span style="background-color: white; font-size: 7pt; text-indent: -18pt;"> </span><span style="background-color: white; line-height: 200%; text-indent: -18pt;">8c</span><sup style="background-color: white; line-height: 200%; text-indent: -18pt;">4</sup><span style="background-color: white; line-height: 200%; text-indent: -18pt;">d</span><sup style="background-color: white; line-height: 200%; text-indent: -18pt;">2</sup><span style="background-color: white; line-height: 200%; text-indent: -18pt;">
– 15c</span><sup style="background-color: white; line-height: 200%; text-indent: -18pt;">4</sup><span style="background-color: white; line-height: 200%; text-indent: -18pt;">d</span><sup style="background-color: white; line-height: 200%; text-indent: -18pt;">2</sup><span style="background-color: white; line-height: 200%; text-indent: -18pt;"> =</span></span></li>
<li style="text-align: left;"><span style="font-family: Arial, Helvetica, sans-serif;"><span style="background-color: white; line-height: 32px; text-indent: -18pt;"> </span><span style="background-color: white; font-size: 7pt; text-indent: -18pt;"> </span><span style="background-color: white; line-height: 200%; text-indent: -18pt;">–
34x + 33x =</span></span></li>
</ol>
</div>
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<div style="text-align: left;">
<br /></div>
</div>
<div class="MsoNormal" style="text-align: center;">
RESPUESTAS <span style="font-family: Wingdings;">à</span></div>
<div class="MsoNormal" style="text-align: center;">
<br /></div>
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<br /></div>
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<br /></div>
<div class="MsoListParagraph" style="text-align: center; text-indent: -18pt;">
<b><span style="background-color: black; color: yellow; font-family: Arial, Helvetica, sans-serif;">8.<span style="font-size: 7pt;">
</span>REDUCCION DE TERMINOS SEMEJANTES DE DIFERENTE
SIGNO</span></b></div>
<div class="MsoNormal" style="text-align: center;">
<span style="font-family: Arial, Helvetica, sans-serif;"><br /></span></div>
<div class="MsoNormal" style="text-align: center;">
<span style="font-family: Arial, Helvetica, sans-serif;"> RESPUESTAS</span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: center;">
<span style="font-family: Arial, Helvetica, sans-serif;"><br /></span></div>
<div class="MsoListParagraphCxSpFirst" style="line-height: 250%; text-align: center; text-indent: -18pt;">
<div style="text-align: left;">
</div>
<ol>
<li><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">1.</span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 7pt; line-height: normal; text-indent: -18pt;"> </span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">7x
– 5x = +(7 – 5)x = 2x</span></li>
<li><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">2.</span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 7pt; line-height: normal; text-indent: -18pt;"> </span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">36y
– 21y = 15y</span></li>
<li><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">3.</span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 7pt; line-height: normal; text-indent: -18pt;"> </span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">–
4a + 15a = 11a</span></li>
<li><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">4.</span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 7pt; line-height: normal; text-indent: -18pt;"> </span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">8m</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">2</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">
– 20m</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">2</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;"> = - 12m</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">2</sup></li>
<li><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">5.</span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 7pt; line-height: normal; text-indent: -18pt;"> </span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">–
72ab + 65ab = - 7ab</span></li>
<li><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">6.</span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 7pt; line-height: normal; text-indent: -18pt;"> </span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">29x</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">3</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">y
– 96x</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">3</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">y = - 67x</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">3</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">y</span></li>
<li><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">7.</span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 7pt; line-height: normal; text-indent: -18pt;"> </span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">–
x + 10x = 9x</span></li>
<li><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">8.</span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 7pt; line-height: normal; text-indent: -18pt;"> </span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">7(x
– 2y) – 12(x – 2y) = - 5(x – 2y)</span></li>
<li><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">9.</span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 7pt; line-height: normal; text-indent: -18pt;"> </span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">8c</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">4</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">d</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">2</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">
– 15c</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">4</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">d</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">2</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;"> = - 7c</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">4</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">d</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">2</sup></li>
<li><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 200%; text-indent: -18pt;"> 10.</span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 7pt; line-height: normal; text-indent: -18pt;"> </span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 200%; text-indent: -18pt;">–
34x + 33x = - x</span></li>
</ol>
</div>
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<br /></div>
<div class="MsoNormal" style="text-align: center;">
<br /></div>
<div class="MsoListParagraph" style="text-align: center; text-indent: -18pt;">
<div style="text-align: left;">
</div>
<ol>
<li><b style="background-color: white; text-indent: -18pt;"><span style="background-color: black; color: yellow; font-family: Arial, Helvetica, sans-serif;">9.<span style="font-size: 7pt;">
</span>EXPRESION CON VARIOS TERMINOS SEMEJANTES</span></b></li>
<li><span style="font-family: Arial, Helvetica, sans-serif;"><br /></span></li>
<li><span style="background-color: white; font-family: Arial, Helvetica, sans-serif;">SUGERENCIA: Reducir por separado, positivos y negativos.</span></li>
<li><span style="font-family: Arial, Helvetica, sans-serif;"><br /></span></li>
<li><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">1.</span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 7pt; text-indent: -18pt;"> </span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">8x
+ 7x – 3x + 9x =</span></li>
<li><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">2.</span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 7pt; text-indent: -18pt;"> </span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">–
12y – 7y + 4y + 23y =</span></li>
<li><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">3.</span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 7pt; text-indent: -18pt;"> </span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">–
6ab + 3ab – 11ab + ab =</span></li>
<li><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">4.</span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 7pt; text-indent: -18pt;"> </span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">5x</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">2</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">
+ 6x</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">2</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;"> - 9x</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">2</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;"> - x</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">2</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;"> - 7x</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">2</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;"> =</span></li>
<li><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">5.</span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 7pt; text-indent: -18pt;"> </span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">7x</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">3</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">y</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">2</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">
– 8xy</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">2</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;"> – 9xy</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">2</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;"> – 7x</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">3</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">y</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">2</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;"> =</span></li>
<li><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">6.</span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 7pt; text-indent: -18pt;"> </span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">a
– 9b – 11 c + 7a – 12b – c =</span></li>
<li><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">7.</span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 7pt; text-indent: -18pt;"> </span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">√x
- 3√x
+ 8 – 11 - √x
=</span></li>
<li><span lang="EN-US" style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">8.<span style="font-size: 7pt; line-height: normal;">
</span></span><span lang="EN-US" style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">4abc
+ 7a – 8c + 3 – 7a – 10abc + 8c =</span></li>
<li><span lang="EN-US" style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">9.<span style="font-size: 7pt; line-height: normal;">
</span></span><span lang="EN-US" style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">–
5x<sup>4</sup> – 2x + 34 – 8x – 34 + 5x<sup>4</sup> =</span></li>
<li><span lang="EN-US" style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">10.<span style="font-size: 7pt; line-height: normal;">
</span></span><span lang="EN-US" style="background-color: white; line-height: 250%; text-indent: -18pt;"><span style="font-family: Arial, Helvetica, sans-serif;"> 8m<sup>3</sup>n + 25mn – 3 + 25mn – 3 – 8m<sup>3</sup>n
=</span></span></li>
</ol>
</div>
<div class="MsoNormal" style="text-align: center;">
<span lang="EN-US">RESPUESTAS </span><span lang="EN-US" style="font-family: Wingdings;">à</span><span lang="EN-US"><o:p></o:p></span></div>
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<br /></div>
<div class="MsoListParagraph" style="text-align: center; text-indent: -18pt;">
<br />
<b><span style="background-color: black; color: yellow; font-family: Verdana, sans-serif;">10.<span style="font-size: 7pt;"> </span>EXPRESION
CON VARIOS TERMINOS SEMEJANTES</span></b></div>
<div class="MsoNormal" style="text-align: center;">
<br /></div>
<div class="MsoNormal" style="text-align: center;">
RESPUESTAS:</div>
<div class="MsoNormal" style="text-align: center;">
<br /></div>
<div class="MsoListParagraphCxSpFirst" style="line-height: 250%; text-align: center; text-indent: -18pt;">
<div style="text-align: left;">
</div>
<ol>
<li><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">1.</span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 7pt; line-height: normal; text-indent: -18pt;"> </span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">8x
+ 7x – 3x + 9x = 24x – 3x = 21x</span></li>
<li><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">2.</span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 7pt; line-height: normal; text-indent: -18pt;"> </span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">–
12y – 7y + 4y + 23y = 8y</span></li>
<li><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">3.</span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 7pt; line-height: normal; text-indent: -18pt;"> </span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">–
6ab + 3ab – 11ab + ab = - 13ab</span></li>
<li><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">4.</span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 7pt; line-height: normal; text-indent: -18pt;"> </span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">5x</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">2</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">
+ 6x</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">2</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;"> - 9x</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">2</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;"> - x</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">2</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;"> - 7x</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">2</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;"> = - 6x</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">2</sup></li>
<li><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">5.</span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 7pt; line-height: normal; text-indent: -18pt;"> </span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">7x</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">3</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">y</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">2</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">
– 8xy</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">2</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;"> – 9xy</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">2</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;"> – 7x</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">3</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">y</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">2</sup><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;"> = - 17xy</span><sup style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">2</sup></li>
<li><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">6.</span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 7pt; line-height: normal; text-indent: -18pt;"> </span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">a
– 9b – 11c + 7a – 12b – c = 8a - 21b – 12c</span></li>
<li><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">7.</span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 7pt; line-height: normal; text-indent: -18pt;"> </span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">√x
- 3√x
+ 8 – 11 - √x
= - 3√x
- 3</span></li>
<li><span lang="EN-US" style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">8.<span style="font-size: 7pt; line-height: normal;">
</span></span><span lang="EN-US" style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">4abc
+ 7a – 8c + 3 – 7a – 10abc + 8c = - 6abc + 3</span></li>
<li><span lang="EN-US" style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">9.<span style="font-size: 7pt; line-height: normal;">
</span></span><span lang="EN-US" style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">–
5x<sup>4</sup> – 2x + 34 – 8x – 34 + 5x<sup>4</sup> = - 10x</span></li>
<li><span lang="EN-US" style="background-color: white; font-family: Arial, Helvetica, sans-serif; line-height: 250%; text-indent: -18pt;">10.<span style="font-size: 7pt; line-height: normal;">
</span></span><span lang="EN-US" style="background-color: white; line-height: 250%; text-indent: -18pt;"><span style="font-family: Arial, Helvetica, sans-serif;"> 8m<sup>3</sup>n + 25mn – 3 + 25mn – 3 – 8m<sup>3</sup>n
= 50mn - 6</span></span></li>
</ol>
</div>
<div class="MsoNormal" style="text-align: center;">
<br />
<br />
<div style="text-align: left;">
</div>
<div class="MsoListParagraphCxSpFirst" style="line-height: 115%; margin-left: 54.0pt; mso-add-space: auto; mso-list: l1 level1 lfo2; text-indent: -18.0pt;">
<b><span style="background-color: black; color: yellow; font-family: Verdana, sans-serif;"><span lang="EN-US">11.<span style="font-size: 7pt; line-height: normal;">
</span></span><span lang="EN-US">EXPRESIONES
CON PARENTESIS CIRCULARES.<o:p></o:p></span></span></b></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 115%;">
<span style="font-family: Verdana, sans-serif;"><br /></span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 115%;">
<span style="font-family: Verdana, sans-serif;"><br /></span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 115%;">
<span style="font-family: Verdana, sans-serif;"> Antes de reducir
hay que eliminar los paréntesis.</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 115%;">
<span style="font-family: Verdana, sans-serif;"> Ejemplo: - (4a –
8a) + 13a = - 4a + 8a + 13a = 21a – 4a = 17a </span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 115%;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 250%; margin-left: 54.0pt; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18.0pt;">
<span style="font-family: Verdana, sans-serif;">1.<span style="font-size: 7pt; line-height: normal;">
</span>(- 5x + 4x) + 7x =</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 250%; margin-left: 54.0pt; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18.0pt;">
<span style="font-family: Verdana, sans-serif;">2.<span style="font-size: 7pt; line-height: normal;">
</span>– (3a – 2) – 11 + 3a =</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 250%; margin-left: 54.0pt; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18.0pt;">
<span style="font-family: Verdana, sans-serif;">3.<span style="font-size: 7pt; line-height: normal;">
</span>6mn – (mn + 3) + 9 =</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 250%; margin-left: 54.0pt; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18.0pt;">
<span style="font-family: Verdana, sans-serif;">4.<span style="font-size: 7pt; line-height: normal;">
</span>(x + y) – (7x + y) =</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 250%; margin-left: 54.0pt; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18.0pt;">
<span style="font-family: Verdana, sans-serif;">5.<span style="font-size: 7pt; line-height: normal;">
</span>– (5x) + (7x) + (3x) – (2x) =</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 250%; margin-left: 54.0pt; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18.0pt;">
<span style="font-family: Verdana, sans-serif;">6.<span style="font-size: 7pt; line-height: normal;">
</span>– (m + 6n) = - 2m + n</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 250%; margin-left: 54.0pt; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18.0pt;">
<span style="font-family: Verdana, sans-serif;">7.<span style="font-size: 7pt; line-height: normal;">
</span>(9ab + 20) = - (ab – 23) </span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 250%; margin-left: 54.0pt; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18.0pt;">
<span style="font-family: Verdana, sans-serif;">8.<span style="font-size: 7pt; line-height: normal;">
</span>– (x + 4y – 43) + (- 8x + 3y – 6) =</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 250%; margin-left: 54.0pt; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18.0pt;">
<span style="font-family: Verdana, sans-serif;">9.<span style="font-size: 7pt; line-height: normal;">
</span>(12c<sup>2</sup> + 7c – 8) + c<sup>2</sup> = -
3c – 7</span></div>
<div class="MsoListParagraphCxSpLast" style="line-height: 250%; margin-left: 54.0pt; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18.0pt;">
<span style="font-family: Verdana, sans-serif;">10.<span style="font-size: 7pt; line-height: normal;"> </span>(xy)
+ (5x) – (- xy + 3x) =</span></div>
<span style="font-family: Calibri, sans-serif; font-size: 12pt;"></span><br />
<div style="text-align: left;">
<span style="font-family: Calibri, sans-serif; font-size: 12pt;"><span style="font-family: Calibri, sans-serif; font-size: 12pt;"><br /></span></span></div>
<span style="font-family: Calibri, sans-serif; font-size: 12pt;">
RESPUESTAS
</span><span style="font-family: Wingdings; font-size: 12pt;">à</span><br />
<br />
<br />
<br />
<br />
<div style="text-align: left;">
</div>
<div class="MsoListParagraphCxSpFirst" style="line-height: 115%; mso-list: l1 level1 lfo2; text-indent: -18.0pt;">
<span lang="EN-US"> <span style="font-family: Verdana, sans-serif;"> <b><span style="background-color: black; color: yellow;"> 12.<span style="font-size: 7pt; line-height: normal;">
</span></span></b></span></span><span lang="EN-US"><span style="font-family: Verdana, sans-serif;"><b><span style="background-color: black; color: yellow;">EXPRESIONES
CON PARENTESIS CIRCULARES.</span></b><o:p></o:p></span></span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 115%;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 115%;">
<span style="font-family: Verdana, sans-serif;">RESPUESTAS:</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 115%;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 250%; margin-left: 54.0pt; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18.0pt;">
<span style="font-family: Verdana, sans-serif;">1.<span style="font-size: 7pt; line-height: normal;">
</span>(- 5x + 4x) + 7x = - 5x + 4x + 7x = 11x – 5x =
6x</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 250%; margin-left: 54.0pt; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18.0pt;">
<span style="font-family: Verdana, sans-serif;">2.<span style="font-size: 7pt; line-height: normal;">
</span>– (3a – 2) – 11 + 3a = - 9</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 250%; margin-left: 54.0pt; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18.0pt;">
<span style="font-family: Verdana, sans-serif;">3.<span style="font-size: 7pt; line-height: normal;">
</span>6mn – (mn + 3) + 9 = 5mn + 6</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 250%; margin-left: 54.0pt; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18.0pt;">
<span style="font-family: Verdana, sans-serif;">4.<span style="font-size: 7pt; line-height: normal;">
</span>(x + y) – (7x + y) = - 6x </span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 250%; margin-left: 54.0pt; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18.0pt;">
<span style="font-family: Verdana, sans-serif;">5.<span style="font-size: 7pt; line-height: normal;">
</span>– (5x) + (7x) + (3x) – (2x) = 3x</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 250%; margin-left: 54.0pt; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18.0pt;">
<span style="font-family: Verdana, sans-serif;">6.<span style="font-size: 7pt; line-height: normal;">
</span>– (m + 6n) = - 2m + n; = m – 7n </span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 250%; margin-left: 54.0pt; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18.0pt;">
<span style="font-family: Verdana, sans-serif;">7.<span style="font-size: 7pt; line-height: normal;">
</span>(9ab + 20) = - (ab – 23) ; = 10ab - 3</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 250%; margin-left: 54.0pt; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18.0pt;">
<span style="font-family: Verdana, sans-serif;">8.<span style="font-size: 7pt; line-height: normal;">
</span>– (x + 4y – 43) + (- 8x + 3y – 6) = - 9x - y +
37</span></div>
<div class="MsoListParagraphCxSpLast" style="line-height: 250%; margin-left: 54.0pt; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18.0pt;">
<span style="font-family: Verdana, sans-serif;">9.<span style="font-size: 7pt; line-height: normal;">
</span>(12c<sup>2</sup> + 7c – 8) + c<sup>2</sup> = -
3c – 7 ; = 13c<sup>2</sup> + 10c - 1 </span></div>
<span style="font-size: 12pt;"><span style="font-family: Verdana, sans-serif;"> </span></span><br />
<div style="text-align: left;">
<span style="font-size: 12pt;"><span style="font-family: Verdana, sans-serif;"> 10. (xy)
+ (5x) – (- xy + 3x) = 2xy + 2x</span></span></div>
<span style="font-family: Verdana, sans-serif;"><br /></span><br />
<br />
<br />
<div style="text-align: left;">
</div>
<div class="MsoListParagraphCxSpFirst" style="line-height: 200%; margin-left: 18.0pt; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18.0pt;">
<b><span style="background-color: black; color: yellow; font-family: Verdana, sans-serif;">13.<span style="font-size: 7pt; line-height: normal;"> </span>EXPRESIONES
CON PARENTESIS CIRCULARES Y RECTANGULARES</span></b></div>
<div class="MsoListParagraphCxSpLast" style="line-height: 115%; margin-left: .6pt; mso-add-space: auto;">
<span style="font-family: Verdana, sans-serif;">Se eliminan primero los paréntesis circulares.</span></div>
<div class="MsoNormal" style="line-height: 115%; margin-left: .6pt;">
<span style="font-family: Verdana, sans-serif;">- [- (7x + 8)] = -
[- 7x – 8] = 7x + 8</span></div>
<div class="MsoNormal" style="line-height: 115%; margin-left: .6pt;">
<br /></div>
<div class="MsoNormal" style="line-height: 250%;">
<span style="font-family: Verdana, sans-serif;">1. – [- (- 6m + 1)] =</span></div>
<div class="MsoNormal" style="line-height: 250%; margin-left: .6pt;">
<span style="font-family: Verdana, sans-serif;">2. [- (3ab – 11) +
5ab] =</span></div>
<div class="MsoNormal" style="line-height: 250%; margin-left: .6pt;">
<span style="font-family: Verdana, sans-serif;">3. – (8x – 6y) –
[9x + 2y] =</span></div>
<div class="MsoNormal" style="line-height: 250%; margin-left: .6pt;">
<span style="font-family: Verdana, sans-serif;">4. [- (4x – 3) +
(- 7x - 5)] =</span></div>
<div class="MsoNormal" style="line-height: 250%; margin-left: .6pt;">
<span style="font-family: Verdana, sans-serif;">5. [- (- 4m – 3n)]
– [(m – 7n)] =</span></div>
<div class="MsoNormal" style="line-height: 250%; margin-left: .6pt;">
<span style="font-family: Verdana, sans-serif;">6. – [- (3a – 6) +
2a] + 5a + 9 = </span></div>
<div class="MsoNormal" style="line-height: 250%; margin-left: .6pt;">
<span style="font-family: Verdana, sans-serif;">7. – [- 5x<sup>2</sup>
+ (9x<sup>2</sup> – 3)] – (- 8) =</span></div>
<div class="MsoNormal" style="line-height: 250%; margin-left: .6pt;">
<span style="font-family: Verdana, sans-serif;">8. [6(x – 1) – 8x]
=</span></div>
<div class="MsoNormal" style="line-height: 250%; margin-left: .6pt;">
<span style="font-family: Verdana, sans-serif;">9. – 5[(7m – 20)]
=</span></div>
<div class="MsoNormal" style="line-height: 200%; margin-left: .6pt;">
<span style="font-family: Verdana, sans-serif;">10. 6[7m – (9m –
3) + 1] =</span></div>
<span style="font-family: Calibri, sans-serif; font-size: 12pt;"></span><br />
<div style="text-align: left;">
<span style="font-family: Calibri, sans-serif; font-size: 12pt;"><span style="font-family: Calibri, sans-serif; font-size: 12pt;"><br /></span></span></div>
<span style="font-family: Calibri, sans-serif; font-size: 12pt;">
<div style="text-align: left;">
<span style="font-family: Calibri, sans-serif; font-size: 12pt;"><br /></span></div>
RESPUESTAS </span><span style="font-family: Wingdings; font-size: 12pt;">à</span><span style="font-family: Calibri, sans-serif; font-size: 12pt;"> </span><br />
<br />
<br />
<br />
<div style="text-align: left;">
</div>
<div class="MsoListParagraph" style="line-height: 200%; margin-left: 54.0pt; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18.0pt;">
<b><span style="background-color: black; color: yellow; font-family: Arial, Helvetica, sans-serif;">14.<span style="font-size: 7pt; line-height: normal;"> </span>EXPRESIONES
CON PARENTESIS CIRCULARES Y RECTANGULARES</span></b></div>
<div class="MsoNormal" style="line-height: 115%; margin-left: 36.0pt;">
<span style="font-family: Arial, Helvetica, sans-serif;"><br /></span></div>
<div class="MsoNormal" style="line-height: 115%; margin-left: 36.0pt;">
<span style="font-family: Arial, Helvetica, sans-serif;">RESPUESTAS:</span></div>
<div class="MsoNormal" style="line-height: 115%; margin-left: 36.0pt;">
<br /></div>
<div class="MsoNormal" style="line-height: 250%;">
<span style="font-family: Arial, Helvetica, sans-serif;"> 1. – [- (- 6m + 1)] = - [6m – 1]
= - 6m + 1</span></div>
<div class="MsoNormal" style="line-height: 250%; margin-left: 36.0pt;">
<span style="font-family: Arial, Helvetica, sans-serif;">2. [- (3ab – 11)
+ 5ab] = 2ab + 11</span></div>
<div class="MsoNormal" style="line-height: 250%; margin-left: 36.0pt;">
<span style="font-family: Arial, Helvetica, sans-serif;">3. – (8x – 6y) –
[9x + 2y] = - 17x + 4y </span></div>
<div class="MsoNormal" style="line-height: 250%; margin-left: 36.0pt;">
<span style="font-family: Arial, Helvetica, sans-serif;">4. [- (4x – 3) +
(- 7x - 5)] = - 11x - 2</span></div>
<div class="MsoNormal" style="line-height: 250%; margin-left: 36.0pt;">
<span style="font-family: Arial, Helvetica, sans-serif;">5. [- (- 4m –
3n)] – [(m – 7n)] = 3m + 10n </span></div>
<div class="MsoNormal" style="line-height: 250%; margin-left: 36.0pt;">
<span style="font-family: Arial, Helvetica, sans-serif;">6. – [- (3a – 6)
+ 2a] + 5a + 9 = 6a + 3</span></div>
<div class="MsoNormal" style="line-height: 250%; margin-left: 36.0pt;">
<span style="font-family: Arial, Helvetica, sans-serif;">7. – [- 5x<sup>2</sup>
+ (9x<sup>2</sup> – 3)] – (- 8) = - 4x<sup>2</sup> + 11</span></div>
<div class="MsoNormal" style="line-height: 250%; margin-left: 36.0pt;">
<span style="font-family: Arial, Helvetica, sans-serif;">8. [6(x – 1) –
8x] = - 2x + 6</span></div>
<div class="MsoNormal" style="line-height: 250%; margin-left: 36.0pt;">
<span style="font-family: Arial, Helvetica, sans-serif;">9. – 5[(7m –
20)] = - 35m + 100</span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;">10.
6[7m – (9m – 3) + 1] = - 12m + 24</span></div>
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<b><span style="background-color: black; color: yellow;">15.<span style="font-size: 7pt; line-height: normal;">
</span>EXPRESIONES CON LOS 3 TIPOS DE PARENTESIS</span></b></div>
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<b><span style="background-color: black; color: yellow;"><br /></span></b></div>
<div class="MsoListParagraphCxSpMiddle">
<span style="font-family: Arial, Helvetica, sans-serif;">Primero se
eliminan los más interiores (los circulares), luego los rectangulares y
finalmente los de llave.</span></div>
<div class="MsoListParagraphCxSpMiddle">
<span style="font-family: Arial, Helvetica, sans-serif;">Ejemplo: - {-[7x
– (5x – 6)]} = - {-[7x – 5x + 6]}</span></div>
<div class="MsoListParagraphCxSpMiddle">
<span style="font-family: Arial, Helvetica, sans-serif;">= - {- 7x + 5x –
6} = 7x – 5x + 6 = 2x + 6</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 200%; margin-left: 54.0pt; mso-add-space: auto; tab-stops: 149.35pt;">
<br /></div>
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<span style="font-family: Arial, Helvetica, sans-serif;">1.<span style="font-size: 7pt; line-height: normal;">
</span>7( 2x + 8) =</span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;">2.<span style="font-size: 7pt; line-height: normal;">
</span>– (- 3a + 6b) =</span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;">3.<span style="font-size: 7pt; line-height: normal;">
</span>– [7x – (6x)] =</span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;">4.<span style="font-size: 7pt; line-height: normal;">
</span>- [(x + y) + 2(x + 2y)] =</span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;">5.<span style="font-size: 7pt; line-height: normal;">
</span>{8m – [-(7m + 6)] + 4} =</span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;">6.<span style="font-size: 7pt; line-height: normal;">
</span>– {- 3[2x + 4y + 2(x – y)]} =</span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;">7.<span style="font-size: 7pt; line-height: normal;">
</span>3ab – { 3a – ( – 5ab + 8a ) – 2a } =</span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;">8.<span style="font-size: 7pt; line-height: normal;">
</span>7x + {– 5y + 6z } – 8z =</span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;">9.<span style="font-size: 7pt; line-height: normal;">
</span>7a – { [( 3x – 8a ) – (
2x – 4a ) – 5x ] } =</span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;">10.<span style="font-size: 7pt; line-height: normal;">
</span>6m – {- 5m – [(3m – 11) + 7]} =</span></div>
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RESPUESTAS
<span style="font-family: Wingdings;">à</span></div>
</div>
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<br />
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<div style="text-align: left;">
</div>
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<b><span style="background-color: black; color: yellow; font-family: Arial, Helvetica, sans-serif;">16.<span style="font-size: 7pt; line-height: normal;">
</span>EXPRESIONES CON LOS 3 TIPOS DE PARENTESIS</span></b></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 200%; margin-left: 54.0pt; mso-add-space: auto; tab-stops: 149.35pt;">
<span style="font-family: Arial, Helvetica, sans-serif;">RESPUESTAS:</span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;">1.<span style="font-size: 7pt; line-height: normal;">
</span>7(2x + 8) =
14x + 56</span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;">2.<span style="font-size: 7pt; line-height: normal;">
</span>– (- 3a + 6b) = 3a – 6b</span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;">3.<span style="font-size: 7pt; line-height: normal;">
</span>– [7x – (6x)] = - x</span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;">4.<span style="font-size: 7pt; line-height: normal;">
</span>- [(x + y) + 2(x + 2y)] = - 3x – 5y</span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;">5.<span style="font-size: 7pt; line-height: normal;">
</span>{8m – [-(7m + 6)] + 4} = 15m + 11</span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;">6.<span style="font-size: 7pt; line-height: normal;">
</span>– {- 3[2x + 4y + 2(x – y)]} = 12x + 6y</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 250%; margin-left: 54.0pt; mso-add-space: auto; mso-list: l0 level1 lfo1; tab-stops: 149.35pt; text-indent: -18.0pt;">
<span style="font-family: Arial, Helvetica, sans-serif;">7.<span style="font-size: 7pt; line-height: normal;">
</span>3ab – { 3a – ( – 5ab + 8a ) – 2a } = - 2ab + 7a</span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;">8.<span style="font-size: 7pt; line-height: normal;">
</span>7x + {– 5y + 6z } – 8z = 7x – 5y – 2z</span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;">9.<span style="font-size: 7pt; line-height: normal;">
</span>7a – { [( 3x – 8a ) – (
2x – 4a ) – 5x ] } = 11a + 4x</span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;">10.<span style="font-size: 7pt; line-height: normal;"> </span>6m
– {- 5m – [(3m – 11) + 7]} = 14m – 4</span></div>
</div>profe raulhttp://www.blogger.com/profile/15459655433738866660noreply@blogger.com2