QUIZ: adding and subtracting rational expressions

What is the NUMERATOR of this expression once it is simplified? $\frac{4}{x}+\frac{6}{x}$  

• 10x

• 10

•  $10x^2$  

•  $24x^2$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

Simplify  $\frac{2}{5x}+\frac{6+x}{5x}$  

•  $\frac{12+2x}{25x^2}$  

•  $\frac{12+2x}{5x}$  

•  $\frac{8+x}{25x^2}$  

•  $\frac{8+x}{5x}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

What is the DENOMINATOR when you add the following expressions:  $\frac{8x-1}{x+2}+\frac{10}{x+2}$  

•  $x^2+4x+4$  

•  $2x+4$  

•  $x+2$  

•  $2\left(x+2\right)^{ }$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Simplify  $\frac{4x^2+x}{2x^3-3}-\frac{2x+9}{2x^3-3}$  

•  $\frac{4x^2-x-9}{2x^3-3}$  

•  $\frac{4x^2-x+9}{2x^3-3}$  

•  $\frac{4x^2-x+9}{4x^3-6}$  

•  $\frac{4x^2-x-9}{4x^3-6}$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Simplify $\frac{2x-3}{x^2-8x+12}-\frac{x-1}{x^2-8x+12}$  AS MUCH AS POSSIBLE

•  $\frac{1}{x-6}$  

•  $\frac{x-4}{x^2-8x+12}$  

•  $\frac{x}{x+12}$  

•  $\frac{1}{x^2-8x+12}$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Simplify  $\frac{6x-6}{3x-5}-\frac{4}{3x-5}$  AS MUCH AS POSSIBLE

• 1

• 2

• 3

• 4

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Which is the next correct setup for simplifying  $\frac{7x}{x+1}+\frac{2}{x-3}$  

•  $\frac{7x}{x+1}\cdot\frac{2}{x-3}+\frac{2}{x-3}\cdot\frac{7x}{x+1}$  

•  $\frac{7x}{x+1}\cdot\frac{7x}{x+1}+\frac{2}{x-3}\cdot\frac{2}{x-3}$  

•  $\frac{7x}{x+1}\cdot\frac{x-3}{x-3}+\frac{2}{x-3}\cdot\frac{x+1}{x+1}$  

•  $\frac{7x}{x+1}\cdot\frac{x+1}{x+1}+\frac{2}{x-3}\cdot\frac{x-3}{x-3}$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

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

•  $\frac{5x^2-11x-10}{\left(x-5\right)\left(x+1\right)}$  

•  $\frac{5x+2}{2x-4}$  

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

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

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

What is the common denominator when simplifying  $\frac{4}{x+8}+\frac{3}{x-5}$  

•  $x^2-40$  

•  $2x+3$  

•  $\left(x+8\right)+\left(x-5\right)$  

•  $\left(x+8\right)\left(x-5\right)$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

What is the next step when simplifying the expression  $\frac{7}{x-9}-\frac{3x}{2x+1}$  

•  $\frac{7}{x-9}\cdot\frac{7}{2x+1}-\frac{3x}{2x+1}\cdot\frac{3x}{x-9}$  

•  $\frac{7}{x-9}\cdot\frac{2x+1}{2x+1}-\frac{3x}{2x+1}\cdot\frac{x-9}{x-9}$  

•  $\frac{7}{x-9}\cdot\frac{x-9}{x-9}-\frac{3x}{2x+1}\cdot\frac{2x+1}{2x+1}$  

•  $\frac{7}{x-9}\cdot\frac{3x}{2x+1}-\frac{3x}{2x+1}\cdot\frac{7x}{x-9}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3