8th Grade Systems of Linear Equations Quiz: 10 Questions with Explanations

8th Grade math quiz: Systems of Linear Equations – Maths PDF

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This systems of equations quiz for 8th Grade covers systems of linear equations (Common Core 8.EE.C.8a, 8.EE.C.8b, 8.EE.C.8c), with a free PDF to print.

Pick the best answer for each of the 10 questions about systems of two linear equations solved by graphing, substitution and elimination (Common Core 8.EE.C.8a, 8.EE.C.8b and 8.EE.C.8c). Read each question carefully, then read the explanation to learn from any mistake.

Grade 8 · Common Core State Standards: 8.EE.C.8a, 8.EE.C.8b, 8.EE.C.8c

Systems of equations quiz: 10 questions

Question 1

Which ordered pair solves $x + y = 8$ and $x – y = 2$?

Question 2

A: y = x + 1 and B: y = -x + 7.

What is the solution of the system shown?

Question 3

A: y = 2x and B: x + y = 9.

Solve $y = 2x$ and $x + y = 9$.

Question 4

Solve $x + y = 14$ and $x – y = 6$.

Question 5

How many solutions does $y = 3x + 2$ and $y = 3x – 5$ have?

Question 6

How many solutions does $x + y = 5$ and $2x + 2y = 10$ have?

Question 7

Prices for the school play.

Adult tickets cost \$12 and student tickets cost \$8. If 5 adult and 3 student tickets are bought, what is the total cost?

Question 8

Two numbers add to 20 and differ by 4. What are they?

Question 9

Which first step eliminates $y$ in $3x + y = 10$ and $x – y = 2$?

Question 10

A system has the solution $(2, 5)$. What does that tell you?

Remember

The solution of a system is the intersection point of the lines.
Different slopes: one solution. Same slope, different intercepts: no solution. Same line: infinitely many.
Substitution: solve one equation for a variable and substitute it into the other.
Elimination: add or subtract the equations to cancel a variable.
Always check the ordered pair in both equations.

How to use this systems of equations quiz

Answer each question, read the explanation that appears, and keep track of your score. A score of 8 out of 10 or more means you are ready for the test.

Download the systems of equations quiz as a PDF with the button below and keep it with your notes.

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