Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
Looking for a systems of linear equations quiz? Then this Algebra 1 quiz on Solving Systems of Linear Equations Three Ways asks 10 multiple-choice questions with instant feedback. Ten multiple-choice questions on solutions, substitution, elimination and the number of solutions. The explanations show the usual slip behind each wrong option.
Standards: A-REI.C.5, A-REI.C.6, A-REI.D.11, A-CED.A.3 · Level: Grade 9 Algebra 1
What this Solving Systems of Linear Equations Three Ways quiz checks
- A solution of a system is an ordered pair that makes all equations true.
- Substitution works best when one variable is already isolated.
- Elimination cancels a variable by adding or subtracting equations, after scaling if needed.
- Parallel lines give no solution; identical lines give infinitely many.
- Always check the ordered pair in both original equations.
The 10 questions of the quiz
- Which ordered pair solves y = 3x − 2 and y = x + 4?
- What is the solution shown by the graph?
- To solve y = x + 5 and 2x + y = 14 by substitution, which equation do you get?
- For x + y = 13 and x − y = 3, adding the equations gives 2x = 16. What is x?
- Which system has no solution?
- Why can you add two equations when solving by elimination?
- Count the solutions shown by the pair of lines.
- Museum adult passes cost $14 and youth passes cost $8. A total of 40 passes brings in $440. Which equation shows the revenue?
- What is the solution of x − y = 4 and x + y = 12?
- How many solutions do 3x + 6y = 12 and x + 2y = 4 have?
After the quiz
Missed a question? Reread the Solving Systems of Linear Equations Three Ways lesson, then take the quiz again. Next, solve the Algebra 1 worksheet on Solving Systems of Linear Equations Three Ways, one star first, then two and three stars. Finally, take the chapter test under real conditions, without notes and with a timer.