H Math 3 - Spring 2021 Final Review #2

 $\frac{n-9}{3n^2+18n}\div\frac{1}{n+6}$  

Simplify.

•  $\frac{n-10}{10n}$  

•  $5$  

•  $\frac{n-9}{3n}$  

•  $\frac{3n}{n+7}$  

• None of these.

 $\frac{a-1}{6a-36}-\frac{4a}{6a-36}$  
Simplify.

•  $\frac{3\left(a-1\right)}{400\left(a+1\right)^2}$  

•  $\frac{a+9}{-\left(a-6\right)}$  

•  $\frac{-\left(3a+1\right)}{6\left(a-6\right)}$  

• None of these.

•  $\frac{-\left(a-1\right)}{3\left(a-6\right)}$  

 $\frac{1}{x^2}=\frac{1}{2x^2}-\frac{x+3}{2x^2}$  
Solve.   Select all that apply.

• 4

• -5

• 5

• -4

• 0

 $\frac{p}{p-2}+\frac{p+4}{p-2}=\frac{36p+30}{p^2-4p+4}$  
Solve.   Select all that apply.

• 19

• -1

• 0

• -5

• None of these.

Select all of the graphs that have a factor of x in the denominator.

• 
• 
• 
• 

The following graph is a rational function. Select all statements that are true about the features of this rational function.

• The function has the factor (x - 4) in the numerator.

• The function has a domain of all real numbers.

• The function has two roots.

• The function has the factor (x - 2) in the denominator.

Select the correct equation for the vertical asymptote.

• y = -1

• x = 1

• y = 0

• x = 2

• x = -2

What is the log base 2 of 32?

• 1/5

• 16

• 0

• Undefined

• None of these

What is the log base 343 of 7?

• -1/3

• 1/3

• 1/49

• 3

• None of these

What is the log base 1 of 49?

• Undefined

• 1/2

• 49

• -2

• 2