Algebra II 2021 Spring Final Review

What is the inverse of the function
 $f\left(x\right)=-2x-5$  ?

•  $f^{-1}\left(x\right)=\frac{x-2}{5}$  

•  $f^{-1}\left(x\right)=\frac{x-5}{2}$  

•  $f^{-1}\left(x\right)=-\frac{x+5}{2}$  

•  $f^{-1}\left(x\right)=-\frac{x+2}{5}$  

What is the Range of the graph above in interval notation?

•  $\left[-1,\infty\right)$  

•  $\left[-2,\infty\right)$  

•  $\left(-1,\infty\right]$  

•  $\left(-2,\ \infty\right]$  

Which of the following is an expanded expression of $\left(2x-1\right)\left(7x+4\right)$  ?

•  $14x^2+x+4$  

•  $14x^2-x+4$  

•  $14x^2-x-4$  

•  $14x^2+x-4$  

Billy paid $9.00 to purchase 1 bag of chips, 2 candy bars and 1 soda. Bobby paid $19 for 5 bags of chips, 3 candy bars and no soda. Brunhilda paid $9.00 for 2 bags of chips, 1 candy bar, and 2 sodas. Which system is written correctly for the situation?

• $x+2y+z=9$
  $5x+3y+z=19$
  $2x+y+2z=9$
  

• $x+2y+z=9$
  $5x+3y=19$
  $2x+y+2z=9$
  

• $x+y+z=9$
  $5x+3y+z=19$
  $2x+y+2z=9$

• $2x+2y+2z=9$
  $5x+3y=19$
  $2x+y+2z=9$

Wolfrich lived in Portugal and Brazil for a total period of 14 months in order to learn Portuguese. He learned an average of 130 new words per month when he lived in Portugal and an average of 150 new words per month when he lived in Brazil. In total, he learned 1920 new words.

How long did Wolfrich live in Portugal?

• 7 months

• 8 months

• 9 months

• 10 months

Which of the following is a factor of $x^2-7x+10$ ? 

• x + 2

• x - 5

• x + 5

• x + 10

What are the solutions to the equation $3p^2-2p-5=0$  ?

•  $p\ =\ -\frac{5}{3},\ 1$  

•  $p\ =\ -\frac{5}{3},\ -1$  

•  $p\ =\ \frac{5}{3},\ 1$  

•  $p\ =\ \frac{5}{3},\ -1$  

Describe the transformations of the graph above.

• Vertically stretched by a factor of 2, shifted to the right by 3 units, shifted down by 2 units, reflected across the x-axis

• Vertically stretched by a factor of 2, shifted to the right by 3 units, shifted down by 2 units

• Vertically stretched by a factor of 2, shifted to the left by 3 units, shifted up by 2 units

• Vertically stretched by a factor of 2, shifted to the left by 3 units, shifted up by 2 units, reflected across the y-axis

 $f\left(x\right)=-\frac{1}{3}\sqrt{x+1}-8$  

Which of the following is NOT a transformation of the function

• Shifted Down 8 units

• Vertically Stretched by a factor of 3

• Shifted Left by 1 unit

• Reflected Across the x-axis

 $y=30\sqrt{\frac{1}{2}x+2}$  

where x is the number of days past since Monday.
On what day will 90 eggs be sold?

• Day 13

• Day 14

• Day 15

• Day 16