Algebra 2 Final Review

I'm buying a car that costs $35,000 that depreciates at a rate of 10% per year. How long do I wait to sell it if I want to sell it for at least $20,000?

• 10 years

• 2 years

• 5 years

• 15 years

 $Roll\ the\log to\ solve\ for\ x:\ \log_x121=2$  

• 11

• 12

• 8

• 2

Tags

CCSS.HSF.BF.B.5

 $Solve:\ 4^{x+5}+3=67$  

• 2

• -2

• 3

• 10

 $Solve:\ \log_9x-\log_9\left(x-8\right)=1$  

• 8

• 0

• -2

• 9

 $\ f\left(x\right)=\frac{2}{x-1}+3$  Find the horizontal asymptote of f.

• y = -3

• y = 3

• x = 3

• y = 1

Tags

CCSS.HSF-IF.C.7D

 $\frac{12x^2}{5y^3}\times\frac{20y^4}{6x^3}$  Multiply and simplify

•  $\frac{8y}{x}$  

•  $\frac{8y}{5x}$  

•  $\frac{4xy}{5}$  

•  $\frac{4y}{x}$  

Tags

CCSS.HSA.APR.D.7

 $\frac{4}{x^2-16}+\frac{3}{x^2+8x+16}$  

•  $\frac{7x+4}{\left(x+4\right)\left(x^2-16\right)}$  

•  $\frac{x+4}{\left(x+4\right)\left(x^2-16\right)}$  

•  $\frac{7}{\left(x^2-16\right)+\left(x^2+8x+16\right)}$  

•  $\frac{7}{\left(x+4\right)\left(x^2-16\right)}$  

Tags

CCSS.HSA.APR.D.7

 $\frac{1}{x+1}=\frac{x-1}{2x+2}$  

• x = 3 and x = -1

• x = 3

• x = -1

• no solutions

Tags

CCSS.HSA.REI.A.2

 $If\ \sin\theta\ =\ 1\ then\ what\ is\ \theta?$  

•  $\frac{\pi}{4}$  

•  $\frac{3\pi}{2}$  

•  $\frac{3\pi}{4}$  

•  $\frac{\pi}{2}$  

Tags

CCSS.HSF.TF.B.7

 $If\ \tan\theta=1\ and\ \theta\ is\ in\ Q1,\ what\ is\ \cos\theta?$  

•  $1$  

•  $\frac{\sqrt{2}}{2}$  

•  $-\frac{\sqrt{2}}{2}$  

•  $-1$  

Tags

CCSS.HSF.TF.C.8