Rational Expressions 1

 $\frac{\left(x-2\right)\left(x+1\right)}{\left(x-2\right)\left(x-1\right)}$  Simplify the rational expression and state the excluded values.

•  $1;x\ne\left\{1,2\right\}$  

•  $\frac{x+1}{x-1};x\ne1$  

•  $\frac{1}{x-1};x\ne\left\{-1.-2\right\}$  

•  $\frac{x+1}{x-1};x\ne\left\{1,2\right\}$  

Tags

CCSS.HSA.APR.D.6

 $\frac{x-2}{x^2-4}$  Simplify the rational expression and state the excluded values.

•  $\frac{1}{x+2};x\ne2$  

•  $\frac{1}{x+2};x\ne\left\{-2,2\right\}$  

•  $\frac{1}{x-2};x\ne4$  

•  $\frac{1}{x+2};x\ne4$  

Tags

CCSS.HSA.APR.D.6

Simplify the rational expression and state the excluded values.
 $\frac{20-30x}{3x^2-2x}$  

•  $\frac{10\left(2-3x\right)}{x\left(3x-2\right)};x\ne-\frac{2}{3}$  

•  $\frac{10}{x};x\ne\frac{2}{3}$  

•  $\frac{-10}{x};x\ne\left\{\frac{2}{3},0\right\}$  

•  $\frac{10}{-x};x\ne0$  

Tags

CCSS.HSA.APR.D.6

 $\frac{x^2-4x+4}{x^2-4}$  Simplify the rational expression and state the excluded values.

•  $x+4;x\ne4$  

•  $\frac{\left(x-2\right)}{\left(x+2\right)};x\ne\left\{-2,2\right\}$  

•  $\frac{x-2}{x+2};x\ne\left\{0,-2\right\}$  

•  $\frac{x+1}{x};x\ne\left\{0,4\right\}$  

Tags

CCSS.HSA.APR.D.6

 $\frac{x^2-7x+6}{x^2+3x-54}$  Simplify the rational expression and state the excluded values.

•  $\frac{x-6}{x-3};x\ne\left\{3,6,9\right\}$  

•  $\frac{x+6}{x+9};x\ne\left\{6,-9\right\}$  

•  $\frac{x+1}{x-9};x\ne\left\{9,-6\right\}$  

•  $\frac{x-1}{x+9};x\ne\left\{6,-9\right\}$  

Tags

CCSS.HSA.APR.D.6

Find the least common denominator of the expression

• 18
• 6x
• 3xy
• 6xy

Tags

CCSS.HSA.APR.D.7

Simplify the expression

• 6x / 20xy
• 3 / 10y
• (6x+1) / (20xy)
• 3 / 20xy

Tags

CCSS.HSA.APR.D.7

Simplify the expression

• (2a + 4b) / 12b²
• (2a - 4b) / 12b² 
• (a - b) / 6b²
• (a + 2b) / 6b² 

Tags

CCSS.7.NS.A.1B

Simplify the expression

• (5x + 4y) / 9y
• (6y + 3x) / 3y
• (2y + x) / y
• (6y + 3x) / 9y 

Tags

CCSS.HSA.APR.D.7

Simplify the expression

• (12n² + 28n + 4) / (2n-5)(n+2)
• (12n² - 28n + 4) / (2n-5)(n+2)
• (8n) / (3n + 3)
• (12n² + 2n -3) / (2n-5)(n+2)

Tags

CCSS.HSA.APR.D.7