Rational Functions Review

Simplify:

•  $\frac{4p}{7}$  

•  $\frac{4p^2}{7p}$  

•  $\frac{p}{2}$  

•  $\frac{4}{7p}$  

Tags

CCSS.HSA.APR.D.6

Simplify:

• $\frac{-7v-5}{5v-4}$

• $\frac{v-8}{v-10}$

• $\frac{v-10}{v-8}$

• $\frac{7v+5}{5v+4}$

Tags

CCSS.HSA.APR.D.6

Multiply (and Simplify):

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

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

•  $\frac{\left(p^2+2p-24\right)}{p^3-10p^2+32p+32}$  

•  $p+4$  

Tags

CCSS.HSA.APR.D.7

Multiply (and Simplify):

• $\frac{\left(v+10\right)}{10}$

• $\frac{1}{v}$

• $\frac{\left(10v+30\right)}{\left(v+10\right)\left(v+3\right)}$

• $\frac{10}{v+10}$

Tags

CCSS.HSA.APR.D.7

Multiply (and Simplify):

• $\frac{\left(x-5\right)^2\left(x-10\right)}{90\left(x-10\right)\left(5-x\right)}$

• $-\frac{\left(x-5\right)}{90}$

• $\frac{\left(x-1\right)}{18}$

• $\frac{\left(x-5\right)}{90}$

Tags

CCSS.HSA.APR.D.7

Divide: $\frac{8v-56}{8v+48}\div\frac{8v^2+24v}{v^2+9v+18}$  

•  $\frac{8v}{v-7}$  

•  $\frac{8v\left(v-7\right)}{\left(v+6\right)^2}$  

•  $\frac{8\left(v+7\right)}{64v}$  

•  $\frac{\left(v-7\right)}{8v}$  

Tags

CCSS.HSA.APR.D.6

Divide:  $\frac{\left(6r+12\right)}{20}\div\frac{\left(6r+12\right)}{4r}$  

•  $\frac{6r}{30}$  

•  $\frac{3\left(r+2\right)^2}{20r}$  

•  $\frac{r\left(r+2\right)}{5}$  

•  $\frac{r}{5}$  

Tags

CCSS.HSA.APR.D.6

Add: 

•  $\frac{n-1}{10n^2+16n+6}$  

•  $\frac{\left(n+1\right)}{10n^2+16n+6}$  

•  $\frac{\left(n+11\right)}{10n^2+16n+6}$  

•  $\frac{1}{2\left(5n+3\right)}$  

Tags

CCSS.HSA.APR.D.7

Add:

• $\frac{7}{\left(x+7\right)\left(x-8\right)}$

• $\frac{\left(7x-11\right)}{\left(x+7\right)\left(x-8\right)}$

• $\frac{7}{2x-1}$

• $\frac{\left(7x+4\right)}{\left(x+7\right)\left(x-8\right)}$

Tags

CCSS.HSA.APR.D.7

Subtract:

•  $\frac{-1}{-12x+5}$ 

•  $\frac{84x-80}{12\left(3x-2\right)}$ 

•  $\frac{\left(21x-20\right)}{3x-2}$ 

•  $\frac{21x-20}{3\left(3x-2\right)}$ 

Tags

CCSS.HSA.APR.D.7