Multiplying and Dividing Rational Expressions

Multiple Choice

State the excluded values of the following rational expression.

$$\frac{5m+5}{10m^2+10m}$$  

• 0,-1

• 10, -8

• 0, 7/2

• 0, 8/3

Multiple Choice

Simplify the rational expression.

$$\frac{5m+5}{10m^2+10m}$$  

• $$\frac{1}{2m}$$  

• $$\frac{4}{m-10}$$  

• $$\frac{3m-8}{2m-7}$$  

• $$\frac{2m-7}{3m-8}$$  

Multiple Choice

State the excluded values for the rational expression.

$$\frac{x^2-x-30}{x^2+2x-15}$$  

• -3, 5

• 6, -5

• 3, -5

• 8, 1

Multiple Choice

Simplify the rational expression.

$$\frac{x^2-x-30}{x^2+2x-15}$$  

• $$\frac{x-3}{x-6}$$  

• $$\frac{x-7}{x+5}$$  

• $$\frac{x-6}{x-3}$$  

• $$\frac{10}{x-1}$$  

Multiple Choice

State the excluded values for the rational expression.

$$\frac{m^2-m-56}{m^2+6m-7}$$  

• 4, -1

• 8, -7

• 4, 2

• 1, -7

Multiple Choice

SImplify the rational expression.

$$\frac{m^2-m-56}{m^2+6m-7}$$  

• $$\frac{-m+2}{m+1}$$  

• $$\frac{m-1}{m-8}$$  

• $$\frac{m+1}{-m+2}$$  

• $$\frac{m-8}{m-1}$$  

Multiple Choice

Simplify completely.

$$\frac{v^2-v-42}{v+1}\cdot\frac{1}{v+6}$$  

• $$6v$$  

• $$\frac{v-7}{v+1}$$  

• $$\frac{v+7}{3}$$  

• $$v+4$$  

Multiple Choice

Simplify completely.

$$\frac{a+3}{a+6}\cdot\frac{6a+36}{a+3}$$  

• $$6$$  

• $$\frac{8\left(a+7\right)}{a+9}$$  

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

• $$\frac{1}{8a^2}$$  

Multiple Choice

Simplify completely.

$$\frac{n-5}{n^2-4n-5}\div\frac{1}{6n}$$  

• $$\frac{8}{n+2}$$  

• $$\frac{n-4}{8}$$  

• $$\left(n+10\right)\left(n-7\right)$$  

• $$\frac{6n}{n+1}$$  

Multiple Choice

Simplify completely.

$$\frac{1}{a-4}\div\frac{a-6}{5a^2-20a}$$  

• $$\frac{2a\left(a+7\right)}{a+3}$$  

• $$\frac{5a}{a-6}$$  

• $$a-7$$  

• $$\frac{a+7}{a+3}$$  

Multiple Choice

Simplify completely.

$$\frac{8x+24}{8}\div\frac{x+3}{3}$$  

• $$\frac{\left(x+6\right)\left(x-5\right)}{9x}$$  

• $$3$$  

• $$\frac{3}{2}$$  

• $$\frac{3}{x+8}$$