Adding/Subtracting Rational Expressions

• A

• B

• C

• D

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

Simplify: 

 $\frac{3x}{10x^2}+\frac{7}{5x^2}$  

•  $\frac{2}{3x^3}$  

•  $\frac{3x+7}{10x^2}$  

•  $\frac{1}{x^2}$  

•  $\frac{3x+14}{10x^2}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Simplify:

 $\frac{5}{x}-\frac{3x}{6x^2}$  

•  $\frac{-33x^2}{x\left(6x^2\right)}$  

•  $\frac{30-3x}{6x}$  

•  $\frac{30x-3x}{6x-6x^2}$  

•  $\frac{27x}{6x^2}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

Simplify:

 $\frac{3}{x-1}+\frac{5}{6x}$  

•  $\frac{23x-5}{6x\left(x-1\right)}$  

•  $\frac{13x-5}{6x\left(x-1\right)}$  

•  $\frac{13x-5}{6x^2}$  

•  $17x-6$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Simplify:

 $\frac{2x}{5x}-\frac{3}{x+7}$  

•  $\frac{2x^2-x}{5x\left(x+7\right)}$  

•  $\frac{7x-21}{5x\left(x+7\right)}$  

•  $\frac{2x^2+29x}{5x\left(x+7\right)}$  

•  $\frac{2x^2-14x\ }{5x\left(x+7\right)}$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

Simplify:

 $\frac{4x}{2x+8}-\frac{12}{x}$  

•  $\frac{4x^2+24x-96}{x\left(2x+8\right)}$  

•  $\frac{4x^2-24x+96}{x\left(2x+8\right)}$  

•  $\frac{4x^2-24x-96}{x\left(2x+8\right)}$  

•  $\frac{4x^2+24x+96}{x\left(2x+8\right)}$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

Simplify:

 $\frac{5x}{6x^2}+\frac{4}{x-6}$  

•  $\frac{29x^2-30x}{6x^2\left(x-6\right)}$  

•  $\frac{5x^2-6x}{6x^2\left(x-6\right)}$  

•  $\frac{-19x^2-30x}{6x^2\left(x-6\right)}$  

• no solution

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Simplify:

 $\frac{3}{x+4}+\frac{2}{x-2}$  

•  $\frac{5x+2}{\left(x+4\right)\left(x-2\right)}$  

•  $\frac{3x-6}{\left(x-2\right)\left(x+4\right)}$  

•  $\frac{5x-10}{\left(x-2\right)\left(x+4\right)}$  

•  $\frac{6x+24}{\left(x-2\right)\left(x+4\right)}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

Simplify:

 $\frac{5x}{2x-3}-\frac{4x^2}{3x+1}$  

• no solution

•  $\frac{-8x^3+27x^2+5x}{\left(2x-3\right)\left(3x+1\right)}$  

•  $\frac{-8x^3+3x^2+5x}{\left(2x-3\right)\left(3x+1\right)}$  

•  $\frac{7x^2+17x}{\left(2x-3\right)\left(3x+1\right)}$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

Simplify:

 $\frac{-3x}{x+5}+\frac{7}{2x-8}$  

•  $\frac{-6x^2+31x+35}{\left(x+5\right)\left(2x-8\right)}$  

•  $\frac{-6x^2-17x+35}{\left(x+5\right)\left(2x-8\right)}$  

•  $\frac{25x+35}{\left(x+5\right)\left(2x-8\right)}$  

•  $\frac{6x^2-17x+35}{\left(x+5\right)\left(2x-8\right)}$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7