Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
Looking for a systems of equations quiz? Then this Grade 8 quiz on Solving Systems of Linear Equations asks 10 multiple-choice questions with instant feedback. Ten quick questions on systems of linear equations. Choose one answer for each. The explanations point out the usual slips, like stopping after finding only x.
Standards: 8.EE.C.8a, 8.EE.C.8b, 8.EE.C.8c · Level: Grade 8
What this Solving Systems of Linear Equations quiz checks
- A solution is an ordered pair (x, y) that makes both equations true.
- Graphically, it is the intersection point of the two lines.
- Substitution: solve one equation for a variable and replace it in the other.
- Elimination: add or subtract equations so one variable cancels.
- Same slope, different intercept: no solution; same line: infinitely many.
The 10 questions of the quiz
- Which pair solves both x + y = 8 and x − y = 2?
- Solve y = 2x and x + y = 9. What is x?
- Add x + y = 10 and x − y = 4. What is x?
- A system of two parallel lines has how many solutions?
- How many solutions does 2x + y = 7 and 2x + y = 9 have?
- How many solutions does y = 3x + 1 with 6x − 2y = −2 have?
- In graph terms, what does a solution of a system represent?
- Add x + y = 6 and 2x − y = 3. What is x?
- What is the solution shown on the graph?
- Read the picture: how many ordered pairs satisfy both lines?
After the quiz
Missed a question? Reread the Solving Systems of Linear Equations lesson, then take the quiz again. Next, solve the Grade 8 worksheet on Solving Systems of Linear Equations, one star first, then two and three stars. Finally, take the chapter test under real conditions, without notes and with a timer.