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Rational Expressions: Simplify, Multiplication and Division

Authored by Paul Bien

Mathematics

9th - 11th Grade

CCSS covered

Used 522+ times

Rational Expressions: Simplify, Multiplication and Division
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10 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Simplify the expression below

 6y(y+3(y−5))y(y−5)(y−1)\frac{6y\left(y+3\left(y-5\right)\right)}{y\left(y-5\right)\left(y-1\right)}  

 6(y−5)y(y−1)\frac{6\left(y-5\right)}{y\left(y-1\right)}  

 6y(y+3)y(y−1)\frac{6y\left(y+3\right)}{y\left(y-1\right)}  

 y(y−1)6(y+3)\frac{y\left(y-1\right)}{6\left(y+3\right)}  

 y(y+3)6y(y−1)\frac{y\left(y+3\right)}{6y\left(y-1\right)}  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

simplify the expression below:

 4510a−10\frac{45}{10a-10}  

 92(a−1)\frac{9}{2\left(a-1\right)}  

 510a\frac{5}{10a}  

 92(1−a)\frac{9}{2\left(1-a\right)}  

 52(a−1)\frac{5}{2\left(a-1\right)}  

Tags

CCSS.HSA.APR.D.6

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

For what values of x is  6x+4(x−4)(x+5)\frac{6x+4}{\left(x-4\right)\left(x+5\right)}  undefined?

x= 4 and x= 5

x = 4 and x = -5

x = -4 and x = 5

x = 1  and x = -1

Tags

CCSS.HSF-IF.C.7D

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Factor the following expression:
 (ab−5b)\left(ab-5b\right)  

 a (b−5)a\ \left(b-5\right)  

 b( 5−a)b\left(\ 5-a\right)  

 a(5−b)a\left(5-b\right)  

 b( a−5)b\left(\ a-5\right)  

Tags

CCSS.7.EE.A.1

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Simplify the expression below:

 xy2−4xy(y−4)(y+4)\frac{xy^2-4xy}{\left(y-4\right)\left(y+4\right)}  

 x(y−4)(y+4)\frac{x\left(y-4\right)}{\left(y+4\right)}  

 xy(y−4)y+4\frac{xy\left(y-4\right)}{y+4}  

 xyy+4\frac{xy}{y+4}  

 xyy−4\frac{xy}{y-4}  

Tags

CCSS.HSA.APR.D.6

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Multiply the rational expressions

 35×163\frac{3}{5}\times\frac{16}{3}  =

 65\frac{6}{5}  

 125\frac{12}{5}  

 410\frac{4}{10}  

 165\frac{16}{5}  

Tags

CCSS.HSA.APR.D.7

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Divide the expression below:
 29÷413=\frac{2}{9}\div\frac{4}{13}=  

 8117\frac{8}{117}  

 1318\frac{13}{18}  

 64\frac{6}{4}  

 35\frac{3}{5}  

Tags

CCSS.HSA.APR.D.7

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