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Algebra Basics Quiz – Expressions and Linear Equations (Grades 7–8)

An algebra basics quiz for grades 7–8: variables, evaluating and simplifying expressions, like terms, the distributive property and solving one- and two-step linear equations. 12 questions with worked explanations.

  • Grades 7–8
  • 12 questions
  • About 6 min

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Questions

Correct answers aren't marked here, so you can use this page as a test. You'll see them in your account after you use the quiz.

  1. 1Single choice

    Solve for x: x + 7 = 15

    • x = 22
    • x = 8
    • x = 7
    • x = −8
  2. 2Single choice

    Solve for x: 3x = 21

    • x = 7
    • x = 18
    • x = 24
    • x = 63
  3. 3Single choice

    What is the value of 2a + 5 when a = 4?

    • 11
    • 13
    • 29
    • 18
  4. 4Single choice

    Simplify: 5x + 3 − 2x + 4

    • 7x + 7
    • 3x − 1
    • 10x
    • 3x + 7
  5. 5Single choice

    Expand: 3(x − 4)

    • 3x − 4
    • 3x − 12
    • x − 12
    • 3x + 12
  6. 6Single choice

    Solve for x: 2x − 5 = 11

    • x = 3
    • x = 6
    • x = 8
    • x = 16
  7. 7True / False

    In the expression 4y + 9, the number 4 is called the coefficient of y.

    • True
    • False
  8. 8Multiple choiceMore than one correct answer

    Which of these are like terms with 6x? Select all that apply.

    • −2x
    • 6x²
    • x
    • 6y
    • 0.5x
  9. 9Type answer

    Solve for n: n/4 = 5. Type the value of n.

    Written answer:

  10. 10Single choice

    Which equation means "a number n increased by 9 is 30"?

    • 9n = 30
    • n − 9 = 30
    • n + 9 = 30
    • n + 30 = 9
  11. 11True / False

    x = −2 is a solution of the equation 4x + 3 = −5.

    • True
    • False
  12. 12Single choice

    Solve for x: 5(x + 1) = 35

    • x = 6
    • x = 7
    • x = 30
    • x = 34/5

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