8th Grade Solving Linear Equations in One Variable Quiz: 10 Questions with Explanations

8th Grade math quiz: Solving Linear Equations in One Variable – Maths PDFCover of the book Grade 8 Math Tests with Answer Keys (PDF)Download as a PDFThe Grade 8 tests book with answer keysPrintable PDFSee the book ›


This grade 8 linear equations quiz for 8th Grade covers solving linear equations in one variable (Common Core 8.EE.C.7a, 8.EE.C.7b), with a free PDF to print.

Pick the best answer for each of the 10 questions about solving linear equations with variables on both sides and equations with no or infinitely many solutions (Common Core 8.EE.C.7a and 8.EE.C.7b). Read each question carefully, then read the explanation to learn from any mistake.

Grade 8 · Common Core State Standards: 8.EE.C.7a, 8.EE.C.7b

Grade 8 linear equations quiz: 10 questions

Question 1
Solve \(3x + 7 = 22\).

Question 2
Solve \(8x – 5 = 3x + 20\).

Question 3
How many solutions does \(4x + 3 = 4x + 8\) have?

Question 4
How many solutions does \(2(x + 5) = 2x + 10\) have?

Question 5
2x + 113
Solve for x.

What value of \(x\) balances the scale?

Question 6
Solve \(\frac{x}{4} + 1 = 6\).

Question 7
Solve \(2(x – 4) = x + 3\).

Question 8
xx2x
Angles of a triangle add to 180 degrees.

What is the value of \(x\)?

Question 9
Two friends save money. Mei: \$10 plus \$5 a week. Noah: \$30 plus \$3 a week. When are they equal?

Question 10
One solutionNo solutionInfinite
Crossing once, parallel, or the same line.

Which equation matches the middle panel (parallel lines)?

Remember

Remember
  • Do the same thing to both sides to keep the equation balanced.
  • Distribute first, then combine like terms, then collect variable terms.
  • One solution: \(x = \text{number}\). No solution: false statement. Infinitely many: true statement.
  • Multiply by a common multiple to clear fractions and decimals.
  • Always check by substituting your answer into the original equation.

How to use this grade 8 linear 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 grade 8 linear equations quiz as a PDF with the button below and keep it with your notes.

All Grade 8 chapters: Grade 8 math.

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8th Grade Solving Linear Equations in One Variable Quiz: 10 Questions with Explanations

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