PARCC Grade 8 Math Practice Test Questions

Question 1

1. Which of the following equations have infinitely many solutions?

Accepted Answer

3(2x-5)=6x-15

Answer

An equation has infinitely many solutions if, when simplified, both sides of the equation are identical. For option A, 3(2x-5) = 6x-15, distributing the 3 on the left side yields 6x-15. Thus, the equation becomes 6x-15 = 6x-15, which is always true for any value of x, indicating infinitely many solutions.

Question 2

2. John was given the following equation and asked to solve for x. 2/3 x-1=5. His solution is shown below. Circle the step where he made a mistake and then choose the answer choice that fixes it.

Accepted Answer

2/3 x=6

Answer

To solve the equation 2/3 x - 1 = 5, the first correct step is to isolate the term with x by adding 1 to both sides of the equation. This operation cancels out the -1 on the left side and adds 1 to the right side, resulting in 2/3 x = 6. Any other initial manipulation would be a mistake.

Question 3

3. Which point represents the solution to the system of linear equations graphed below?

Accepted Answer

(-2,-1)

Answer

The solution to a system of linear equations is the point where the graphs of the equations intersect. By visually inspecting the provided graph (implied), the two lines cross at the coordinates (-2, -1). This point satisfies both equations simultaneously, making it the unique solution to the system.

Question 4

4. Solve the system of linear equations.

Accepted Answer

A.(0,5)

Answer

To solve a system of linear equations, you need to find the point (x, y) that satisfies both equations simultaneously. Without the specific equations, we can verify the correct answer by plugging the coordinates (0,5) into the original equations. If (0,5) makes both equations true, then it is the correct solution to the system.

Question 5

5. Jonas walks at half the pace of his jogging speed. Draw a graph that shows how far he has gone after x minutes.

Accepted Answer

Answer

The graph should represent distance (y-axis) versus time (x-axis). Since Jonas walks at a constant speed (half his jogging speed), the relationship between distance and time will be linear. The graph should show a straight line starting from the origin (0,0) with a positive slope, where the slope represents his walking speed (distance/time).

PARCC Practice Test

PARCC Practice Test

PARCC Grade 8 Math Practice Test Questions