ACP Practice

Which equation represents the path of the basketball?

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

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?

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

Which system of equations is represented by this graph?

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

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?

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

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