Rational Expressions: Simplify, Multiplication and Division

Simplify the expression below

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

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

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

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

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

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

simplify the expression below:

 $\frac{45}{10a-10}$  

•  $\frac{9}{2\left(a-1\right)}$  

•  $\frac{5}{10a}$  

•  $\frac{9}{2\left(1-a\right)}$  

•  $\frac{5}{2\left(a-1\right)}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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

• x= 4 and x= 5

• x = 4 and x = -5

• x = -4 and x = 5

• x = 1  and x = -1

Tags

CCSS.HSA.APR.D.7

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

•  $a\ \left(b-5\right)$  

•  $b\left(\ 5-a\right)$  

•  $a\left(5-b\right)$  

•  $b\left(\ a-5\right)$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Simplify the expression below:

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

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

•  $\frac{xy\left(y-4\right)}{y+4}$  

•  $\frac{xy}{y+4}$  

•  $\frac{xy}{y-4}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Multiply the rational expressions

 $\frac{3}{5}\times\frac{16}{3}$  =

•  $\frac{6}{5}$  

•  $\frac{12}{5}$  

•  $\frac{4}{10}$  

•  $\frac{16}{5}$  

Tags

CCSS.HSA.APR.D.7

Divide the expression below:
 $\frac{2}{9}\div\frac{4}{13}=$  

•  $\frac{8}{117}$  

•  $\frac{13}{18}$  

•  $\frac{6}{4}$  

•  $\frac{3}{5}$  

Tags

CCSS.HSA.APR.D.7

Multiply the following rational expression:
 $\frac{8x}{3x^2y^2}\ \times\frac{9x^2y}{4a}=$  

•  $\frac{6x}{ay}$  

•  $\frac{6}{a}$  

•  $\frac{9x}{y}$  

•  $\frac{6x}{9y}$  

Tags

CCSS.HSA.APR.D.7

Divide the following rational expression:
 $\frac{6xy^3}{8ab^2}\div\frac{3x^2y}{4ab^2}=$  

•  $y^2$  

•  $\frac{1}{x}$  

•  $\frac{x^2}{2y}$  

•  $\frac{y^2}{x}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Simplify the expression:
 $\frac{\left(x+10\right)}{3x\left(x+10\right)}=$  

•  $\frac{1}{3x}$  

•  $3x$  

•  $x+10$  

•  $3x^2+30x$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3