ACP Practice

Which equation represents the path of the basketball?

• $y=-\frac{1}{8}\left(x-12\right)^2+18$

• $y=-\frac{1}{8}\left(x+12\right)^2+18$

• $y=-\frac{1}{3}\left(x-18\right)^2+12$

• $y=-\frac{1}{3}\left(x+18\right)^2+12$

What value of m makes the equation  $\left|2m+12\right|=7m-3$  true?

• -3

• 3

• 1

• -1

Mr. Forisha compares students’ study times with their test grades. His data is organized in the table. If the data is best represented by a quadratic function, what is the approximate test grade for a student who studies for 23 minutes?

• 84

• 85

• 87

• 92

Which is NOT a factor of $9x^3-18x^2-16x+32$  ?

•  $x-2$  

•  $x+2$  

•  $3x-4$  

•  $3x+4$  

Which system of equations is represented by this graph?

• 
  

  $y=-\frac{5}{4}x-3$

  $y=-\frac{3}{2}\left(x+6\right)^2+8$
  

• $y=-\frac{5}{4}x-3$
  $y=-\frac{3}{2}\left(x-6\right)^2+8$
  

• $y=-\frac{4}{5}x-3$
  $y=-\frac{3}{2}\left(x+6\right)^2+8$
  

• $y=-\frac{4}{5}x+3$
  $y=-\frac{3}{2}\left(x+6\right)^2+8$

What is the solution to the system of equations?
 $3x+y-2z=6$  
 $x-2y+3z=-3$ 
 $2x-3y-z=7$  

• (-2,-1,1)

• (-2,1,-1)

• (1,-1,-2)

• (1,-2,1)

Which system is represented by this graph?

• 
• 
• 
• 

Mr. Allen asks his Algebra II students to convert the equation y = 2x² - 16x + 37 to vertex form.

The steps Raymond uses are shown:

Step 1: y = (2x² - 16x) + 37

Step 2: y = 2(x² - 8x) + 37

Step 3: y = 2(x² - 8x + 16) + 37 - 16

Step 4: y = 2(x - 4)² + 21

In which step does Raymond make his first mistake?

• Step 1

• Step 2

• Step 3

• Step 4

 What is the solution set for the equation
 $5x^2+3x=6-4x$ ?

•  $\left\{-2,\frac{3}{5}\right\}$  

•  $\left\{-\frac{3}{5},0\right\}$  

•  $\left\{-2\right\}$  

• No Solution

What values of x make the inequality $6x+7\le-2x^2+63$  true?

•  $x\le-7$   or  $x\ge4$  

•  $x\le-4$   or  $x\ge7$  

•  $-7\le x\le4$  

•  $-4\le x\le7$