Operations with Rationals

Simplify. 

• (x+6)/(x+4)
• (x+6)(x+4)
• (x+6)
• (x+6)/(x-5)

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What are the restrictions of:    $\frac{8x}{\left(x+4\right)\left(x-5\right)}$  

(Pick all that apply!)

•  $x\ne5$  

•  $x\ne-5$  

•  $x\ne0$  

•  $x\ne4$  

•  $x\ne-4$  

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.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

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

CCSS.HSA.APR.D.7

What are the restrictions of:   $\frac{19}{8u\left(u+2\right)}$  

(Pick all that apply!)

•  $u\ \ne0$  

•  $u\ \ne2$  

•  $u\ \ne-2$  

•  $u\ne8$  

•  $u\ne-8$  

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.CED.A.3

Simply the expression. State the restricted values.

• 
• 
• 
• _{Restricted values: 4, 10}

• Restricted values: -4, -10

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

• 
• 
• 
• 

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

When adding and subtracting rational expressions, my first step should be to:

• Combine like terms in the numerators.
• Determine a Least Common Denominator.
• Factor all of the numerators and all of the denominators.
• Change the operator to multiplication and reciprocate the second fraction.

Tags

CCSS.HSA.APR.D.7

• A
• B
• C
• D

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

• A
• B
• C
• D

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2