Rational Expressions Review

Which of the following is the completely simplified form of the expression below?
 $\frac{12x^2-30x}{20x^3-50x^2}$ 

•  $\frac{3}{5x}$  

•  $\frac{5x}{3}$  

•  $\frac{6x}{10x^2}$  

•  $\frac{3}{5}$  

Tags

CCSS.HSA.APR.D.6

 $\frac{4a^2-36}{24-8a}$  

Which of the following is the completely simplified form of the expression below?

•  $\frac{a+3}{2}$  

•  $\frac{-a-3}{2}$  

•  $\frac{1}{2}$  

•  $\frac{2a+6}{4}$  

Tags

CCSS.HSA.APR.D.6

Find the product of the expression below. Be sure that final answers are in simplified form.
 $\frac{8x^2y}{3xy^3}\cdot\frac{6x^2y^4}{2xy}$  

•  $8x^3y^2$  

•  $-8x^2y$  

•  $\frac{8}{x^2y}$  

•  $8x^2y$  

Tags

CCSS.HSA.APR.D.7

 $\frac{25-w^2}{w^2+3w-10}\cdot\frac{w^2+5w-14}{6w-30}$  

Find the product of the expression below. Be sure that final answers are in simplified form.

•  $\frac{w+7}{6}$  

•  $-\frac{\left(w+7\right)}{6}$  

•  $1$  

•  $\frac{\left(w+7\right)\left(5-w\right)}{6\left(w-5\right)}$  

Tags

CCSS.HSA.APR.D.7

Find the quotient of the expression below. Be sure that final answers are in simplified form. $\frac{5y+5}{2}\div\frac{25y-20}{40y^2-32y}$  

•  $\frac{y+1}{4y}$  

•  $\left(y+1\right)$  

•  $4y$  

•  $4y\left(y+1\right)$  

Tags

CCSS.HSA.APR.D.6

Find the sum or difference of the expression below. Be sure that final answers are in simplified form. $\frac{6x}{x^2-16}-\frac{x-20}{x^2-16}$  

•  $5x+20$  

•  $5$  

•  $\frac{5}{x-4}$  

•  $\frac{5x+20}{x^2-16}$  

Tags

CCSS.HSA.APR.D.7

Find the sum or difference of the expression below. Be sure that final answers are in simplified form.
 $\frac{a+4}{8a}+\frac{5}{24}$  

•  $\frac{2a+3}{6a}$  

•  $\frac{4\left(2a+3\right)}{24a}$  

•  $a$  

•  $\frac{a+9}{8a+24}$  

Tags

CCSS.HSA.APR.D.7

Find the sum or difference of the expression below. Be sure that final answers are in simplified form. $\frac{2}{h+2}+\frac{5}{h+5}$  

•  $\frac{7}{2h+7}$  

•  $\frac{7h+20}{\left(h+5\right)\left(h+2\right)}$  

•  $\frac{7h+20}{h+7}$  

•  $No\ Solution$  

Tags

CCSS.HSA.APR.D.7

Find the area of the rectangle shown. Be sure final answers are in simplified form.

• $A=\frac{10x}{2x+16}$

• $A=\frac{5x}{x+8}$

• $A=\frac{5}{8}$

• $A=\frac{10}{18}$

Tags

CCSS.HSA.APR.D.6

• $h=\frac{4\left(x+7\right)}{8x}$

• $h=\frac{2x}{x+7}$

• $h=\frac{x+7}{2x\left(3x+4\right)}$

• $h=\frac{x+7}{2x}$

Tags

CCSS.HSA.REI.C.9