Rational Equation Operations

Write the following sum in simplest form:

 $\frac{9x}{21}+\frac{x+7}{7}$  

•  $12x$  

•  $\frac{12x+7}{21}$  

•  $\frac{12x+21}{21}$  

•  $\frac{84x+147}{147}$  

Tags

CCSS.HSA.APR.D.7

Write the following quotient in simplest form:

 $\frac{8\left(p-1\right)}{p+3}\div\frac{p-1}{p+3}$  

•  $8$  

•  $\frac{8p-1}{p+3}$  

•  $\frac{8\left(p-1\right)\left(p+3\right)}{\left(p+3\right)\left(p-1\right)}$  

•  $\frac{8\left(p-1\right)\left(p+3\right)\ +\ \left(p-1\right)\left(p+3\right)}{\left(p+3\right)\left(p-1\right)}$  

Tags

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

Simplify the expression

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

Tags

CCSS.HSA.APR.D.7

Simplify the expression

• (-17x - 12y) / 15x

• (23x - 4y) / 15x

• (-17x - 4y) / 15x

• (-3x - 4y) / 8x

Tags

CCSS.HSA.APR.D.7

Divide and Simplify

• A
• B
• C
• D

Tags

CCSS.HSA.APR.D.6

Simplify. 

• A
• B
• C
• D

Tags

CCSS.HSA.APR.D.6

• A

• B

• C

• D

Tags

CCSS.HSA.APR.D.7