Algebra 2 Midterm Review

Which of the following is the graph of $f\left(x\right)=\left|x+3\right|+2$ ? 

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Tags

CCSS.HSF-IF.C.7D

Simplify: $\left(16^{\frac{1}{2}}\right)^3$  

Find the distance between the 
points (-4, 5) and (12, 7). Round answer to the nearest tenth.

Tags

CCSS.HSG.GPE.B.7

Which of the following translates the square root parent graph right two and down 1?

• $y=\sqrt{x+2}-1$

• $y=\sqrt{x+2}+1$

• $y=\sqrt{x-2}-1$

• $y=\sqrt{x-2}+1$

Tags

CCSS.HSF-IF.C.7B

Given the equation of the circle below, what are the coordinates of the center? $\left(x+5\right)^2+\left(y-3\right)^2=25$  

• (5, -3)

• (-5, -3)

• (5, 3)

• (-5, 3)

Tags

CCSS.HSG.GPE.A.1

What is the solution to the following system of equations?

 $y=3x+6$  
 $y=\left(x+4\right)^2-10$  

• (-5, -9)

• (0, 6) and (-5, -9)

• (5, 21)

• (0, 6) and (5, 21)

Tags

CCSS.HSA.REI.C.7

Simplify: $\frac{14x^3y^8}{21xy^{10}}$  

•  $\frac{2}{3}x^2y^2$  

•  $\frac{2x^3}{3y^2}$  

•  $\frac{2x^2}{3y^2}$  

•  $\frac{2}{3}x^4y^{18}$  

Tags

CCSS.HSA.APR.D.6

Find f(-4) if $f\left(x\right)=x^2-3x$  .

Tags

CCSS.HSF.IF.A.2

Which of the following expressions is equivalent to $\left(2x\ -\ 5\right)^2+1$  ?

•  $2x^2+26$  

•  $4x^2-20x+26$  

•  $4x^2+26$  

•  $4x^2-20x-24$  

Tags

CCSS.HSA.APR.C.4

Simplify: $\frac{\left(3x^4\right)^{-2}}{x^5}$  

•  $\frac{1}{9x^{13}}$  
  

•  $-9x^{13}$  

•  $\frac{1}{-6x^{13}}$  
  

•  $\frac{x^3}{9}$  

•  $\frac{1}{9x^3}$  

Tags

CCSS.HSA.APR.A.1