Algebra 1 Systems of Linear Equations Quiz: 10 Questions with Explanations

Algebra 1 math quiz: Systems of Linear Equations – Maths PDF

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This systems quiz for Algebra 1 covers systems of linear equations (Common Core A-REI.C.5, A-REI.C.6, A-REI.D.11, A-CED.A.3), with a free PDF to print.

Try these 10 multiple-choice questions on systems of linear equations (A-REI.C.5, A-REI.C.6, and A-REI.D.11). Pick one answer for each question, then read the explanation to see why it is right and which mistake the other choices come from. Retake the quiz until every answer feels easy.

Algebra 1 · Common Core State Standards: A-REI.C.5, A-REI.C.6, A-REI.D.11, A-CED.A.3

Systems quiz: 10 questions

Question 1

From the graph, what is the y-coordinate of the solution of the system?

Question 2

How many solutions does the graphed system have?

Question 3

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

Question 4

Solve: $x + y = 11$ and $x – y = 3$.

Question 5

To eliminate $y$ in $2x + 3y = 7$ and $5x – 3y = 14$, which step works?

Question 6

How many solutions does $y = 2x + 3$ and $4x – 2y = -6$ have?

Question 7

Three notebooks and two pens cost $13. One notebook and two pens cost $7. What does one notebook cost?

Question 8

When do the two plans cost the same?

Question 9

Solve by substitution: $x = y + 2$ and $2x + y = 10$.

Question 10

Which system has the solution $(1, 3)$?

Remember

A solution of a system is an ordered pair that satisfies every equation.
Graphing: the solution is the intersection point of the lines.
Substitution: solve one equation for a variable and substitute into the other.
Elimination: add or subtract equations to cancel a variable.
Parallel lines give no solution; identical lines give infinitely many.

How to use this systems 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 quiz as a PDF with the button below and keep it with your notes.

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