Adding Rational Expressions (Unlike LCD) (Honors)

Simplify the expression:

 $\frac{x+2}{x-5}+\frac{4x}{5}$  

•  $\frac{-10x+10+3x^2}{5\left(x-5\right)}$  

•  $\frac{-15x+10+4x^2}{5\left(x-5\right)}$  

•  $\frac{5x+15}{3x\left(x-5\right)}$  

•  $\frac{3x^2+9x}{5\left(x-5\right)}$  

Tags

CCSS.HSA.APR.D.7

Simplify the expression:

 $\frac{6}{2}+\ \frac{3}{2v-6}$  

•  $\frac{6v-15}{2\left(v-3\right)}$  

•  $\frac{7v-18}{2\left(v-3\right)}$  

•  $\frac{4v-18+v^2}{2\left(v-3\right)}$  

•  $\frac{5}{-2+v}$  

Tags

CCSS.HSA.APR.D.7

 $\frac{2}{b+1}+\frac{2b}{b-3}$  

Simplify the expression:

•  $\frac{2}{b+1}$  

• 0

•  $\frac{2b}{\left(b-3\right)\left(b+1\right)}$  

•  $\frac{2b^2+4b-6}{\left(b-3\right)\left(b+1\right)}$  

Tags

CCSS.HSA.APR.D.7

 $\frac{6}{3m+9}+\frac{5m}{2}$  

Simplify the expression:

•  $\frac{m^3-4m^2-12m+4}{5m}$  

•  $\frac{41m+18}{15m\left(m+3\right)}$  

•  $\frac{5m^2+15m+4}{2\left(m+3\right)}$  

•  $\frac{4m^2+13m+5}{2m\left(m+3\right)}$  

Tags

CCSS.HSA.APR.D.7

Simplify the expression:

 $\frac{5v-6}{6}+\frac{v-3}{2v-1}$  

•  $\frac{10v^2-5v-15}{6\left(2v-1\right)}$  

•  $\frac{10v^2-11v-12}{6\left(2v-1\right)}$  

•  $\frac{10v^2-7v-14}{6\left(2v-1\right)}$  

•  $\frac{10v^2-9v-13}{6\left(2v-1\right)}$  

Tags

CCSS.HSA.APR.D.7

 $\frac{4x}{2}+\frac{3}{10x-4}$  

Simplify the expression:

•  $\frac{4x+3}{2\left(-1+5x\right)}$  

•  $\frac{4+5x}{2x-7}$  

•  $\frac{20x^2-8x+3}{2\left(5x-2\right)}$  

•  $\frac{3x}{5x-2}$  

Tags

CCSS.HSA.APR.D.7

Simplify the expression:

 $\frac{3b}{2b+6}+\frac{6}{b-1}$  

•  $\frac{9b+3}{\left(b-1\right)\left(b+3\right)}$  

•  $\frac{3b^2+9b+36}{2\left(b-1\right)\left(b+3\right)}$  

•  $\frac{b^2+4b+35}{2\left(b-1\right)\left(b+3\right)}$  

•  $\frac{2b+8}{3b+5}$  

Tags

CCSS.HSA.APR.D.7

Simplify the expression:

 $\frac{3}{k+5}+\frac{6}{3k+6}$  

•  $\frac{5k+16}{\left(k+5\right)\left(k+2\right)}$  

•  $\frac{24-8k}{3\left(k+5\right)\left(k+2\right)}$  

•  $\frac{-k^2+10k+48}{3\left(k+5\right)\left(k+2\right)}$  

•  $\frac{-4k+24}{3\left(k+5\right)\left(k+2\right)}$  

Tags

CCSS.HSA.APR.D.7