Complex Rational Expressions HW

Simplify: $\frac{\frac{6-y}{6}}{\frac{1}{6}-\frac{1}{y}}$  

• -y

• y

•  $-\frac{6}{y}$  

•  $-\frac{1}{y}$  

Tags

CCSS.HSA.APR.D.6

Simplify:  $\frac{\frac{x}{5}}{\frac{4}{x+6}}$  

•  $\frac{4x}{5\left(x+6\right)}$  

•  $20x\left(x+6\right)$  

•  $\frac{x\left(x+6\right)}{20}$  

•  $\frac{x+6}{20x}$  

Tags

CCSS.HSA.APR.D.6

simplify:  $\frac{\frac{10}{x+1}}{\frac{1}{2}+\frac{3}{x+1}}$  

•  $\frac{20x}{x+7}$  

•  $\frac{20}{x+7}$  

•  $\frac{10}{x+7}$  

•  $\frac{10\left(x+7\right)}{x+1}$  

Tags

CCSS.HSA.APR.D.6

Simplify: $\frac{\frac{1}{k+3}}{\frac{7k^2}{k^2+7k+12}}$  

• k + 3

• k - 10

•  $\frac{k-5}{3}$  

•  $\frac{k+4}{7k^2}$  

Tags

CCSS.HSA.APR.D.6

Simplify: $\frac{\frac{5k^3-25k^2}{5k^2}}{\frac{k^2+2k-35}{9}}$  

•  $\frac{4k^2}{k-7}$  

•  $\frac{9}{k+7}$  

•  $\frac{9}{4}$  

• 1

Tags

CCSS.HSA.APR.D.6

Simplify: $\frac{\frac{1}{x}-\frac{1}{y}}{\frac{1}{x}+\frac{1}{y}}$  

•  $\frac{y-x}{y+x}$  

•  $\frac{y+x}{y-x}$  

•  $\frac{y}{y-x}$  

•  $\frac{1}{y+x}$  

Tags

CCSS.HSA.APR.D.6

Simplify: $\frac{\frac{8}{x}-\frac{5}{x^2}}{\frac{5}{x^3}-\frac{8}{x}}$  

•  $\frac{8x-5}{5-8x^2}$  

•  $\frac{8x-5}{5-8x}$  

•  $\frac{8x^2-5x}{5+8x^2}$  

•  $\frac{8x^2-5x}{5-8x^2}$  

Tags

CCSS.HSA.APR.D.6

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

•  $\frac{x^2+2x+15}{-x^2-5}$  

•  $\frac{x^2+8x-3}{x^2+10x-5}$  

•  $\frac{x^2+2x+15}{x^2+10x-5}$  

•  $\frac{x^2+8x-3}{-x^2-5}$  

Tags

CCSS.HSA.APR.D.6

Simplify: $\frac{\frac{1}{k+2}}{\frac{5}{k^2-4}}$  

•  $\frac{k-2}{5}$  

•  $\frac{k+2}{5}$  

•  $\frac{5}{k-2}$  

•  $k-2$  

Tags

CCSS.HSA.APR.D.6

simplify: $\frac{\frac{x}{25}+\frac{x}{5}}{\frac{5}{x}}$  

•  $\frac{25x^2}{400+4x}$  

•  $\frac{6x^2}{125}$  

•  $\frac{400x}{x^3-16}$  

•  $\frac{x^2+x^3}{625}$  

Tags

CCSS.HSA.APR.D.6