Unit 3 practice Alg. 2

Find the solutions to the graphed system . Choose all that apply.

• 2

• -2

• 0

• 10

• 1

Tags

CCSS.HSA.REI.C.7

 $f\left(x\right)=\sqrt{x-6}+k$  
Given that k represents a real number, choose the graphs that could represent this function.

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• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7B

Solve for x.
 $\sqrt{3x+7}-8=0$  

• 19

• 0

• 8

• 17

•  $-\frac{7}{3}$  

Tags

CCSS.HSA.REI.A.2

Simplify

 $\frac{x+3}{x}+\frac{x+5}{x+2}$  

•  $\frac{2x^2+10x+6}{x^2+2x}$  

•  $\frac{2x+8}{2x+2}$  

•  $4$  

•  $\frac{2x^2+x+11}{x+2}$  

•  $\frac{3x+8}{2x+2}$  

Tags

CCSS.HSA.APR.D.7

The composition of a function and its inverse written as
 $f^{-1}\left(f\left(x\right)\right)\ \ or\ \ f\left(f^{-1}\left(x\right)\right)$  
is always equal to:

• x

• 1

• 0

• undefined

•  $\infty$  

Tags

CCSS.HSF-BF.B.4B

 $\left(2x\right)^{\frac{3}{4}}=27$  

When solving for x in the given equation, you must first:

• Raise both sides to the  $\frac{4}{3}$  power.

• Raise both sides to the  $\frac{3}{4}$  power.

• Divide both sides by 2.

• Multiply both sides by 2

• Divide both sides by  $\frac{3}{4}$ . 

Solve for x.

 $x=\sqrt{3x+10}$  

Choose all that apply.

• 5

• -2

• 0

• 1

• no solution

Tags

CCSS.HSA.REI.A.2

 $If\ \ h\left(x\right)=\frac{x^3-6}{5},\ \ find\ \ h^{-1}\left(x\right)$  

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• 
• 
• 

Tags

CCSS.HSF-BF.B.4A

 $Given\ \ f\left(x\right)=x^2+8\ \ and\ \ g\left(x\right)=\sqrt{x},\ \ find\ \ f\left(g\left(5\right)\right)$  

• 33

•  $\sqrt{33}$  

• 13

•  $\sqrt{13}$  

• x

Tags

CCSS.HSF-BF.A.1C

Simplify

 $\frac{x^2-16}{x^2+x-12}$  

•  $\frac{x-4}{x-3}$  

•  $\frac{-16}{x-12}$  

•  $\frac{4}{3}$  

•  $\frac{x+4}{x+3}$  

•  $\frac{16}{x+12}$  

Tags

CCSS.HSA.APR.D.6