QZ-MA-Operations with Rational Expressions

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CCSS.HSA.APR.D.6

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CCSS.HSA.APR.D.6

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CCSS.HSA.APR.D.6

Write this product in simplest form:

 $\frac{h^2+3h}{2}\cdot\frac{4}{h+3}$  

•  $\frac{4\left(h^2+3h\right)}{2\left(h+3\right)}$  

•  $\frac{2h^2+3h}{h+3}$  

•  $2h$  

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

Tags

CCSS.HSA.APR.D.7

Write the following quotient in simplest form:

 $\frac{14}{k+6}\div\frac{4}{k+4}$  

•  $\frac{7k+4}{2k+6}$  

•  $\frac{56}{\left(k+6\right)\left(k+4\right)}$  

•  $\frac{14\left(k+4\right)\ +\ 4\left(k+6\right)}{\left(k+6\right)\left(k+4\right)}$  

•  $\frac{7\left(k+4\right)}{2\left(k+6\right)}$  

Tags

CCSS.HSA.APR.D.6

 Write the following sum in simplest form:

 $\frac{4}{m+1}+\frac{8}{m}$ 

•  $\frac{12m+8}{m\left(m+1\right)}$  

•  $\frac{13}{m+1}$  

•  $\frac{12m+1}{m^2+1}$  

•  $\frac{12m+1}{m\left(m+1\right)}$  

Tags

CCSS.HSA.APR.D.7

Write the following quotient in simplest form:

 $\frac{12}{n}\div\frac{n}{3\left(n-1\right)}$  

•  $\frac{4}{n-1}$  

•  $4\left(n-1\right)$  

•  $\frac{36\left(n-1\right)}{n^2}$  

•  $\frac{36n-1}{n^2}$  

Tags

CCSS.HSA.APR.D.6

Write the following difference in simplest form:

 $\frac{\left(j+8\right)}{2}-\frac{j}{6}$  

•  $\frac{\left(2j+24\right)}{6}$  

•  $\frac{\left(j+12\right)}{3}$  

•  $\frac{\left(4j+48\right)}{12}$  

•  $\frac{\left(2j+8\right)}{6}$  

•  $\frac{\left(j+4\right)}{3}$  

Tags

CCSS.HSA.APR.D.7

Simplify the following expression:

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CCSS.HSA.APR.D.6

Perform the operation

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CCSS.HSA.APR.D.6