GradeMap

Grade 7 · Math · Unit 7 of 14

Expressions & Equations

Evaluate, balance and solve

What your child practises

Children tell an expression from an equation, evaluate expressions, and solve equations by doing the same thing to both sides.

Manitoba Curriculum learning outcome: 7.PR.3, 7.PR.4, 7.PR.5, 7.PR.6, 7.PR.7 · expressions and equations, evaluating, preserving equality, and solving linear equations

Sample questions

A taste of this unit. In the app, questions change every time and get easier or harder to match your child.

  1. Question 1

    To solve x + 5 = 12, what do you do to both sides?

    • Add 5
    • Subtract 5
    • Subtract 12
    • Multiply by 5
    Show answer

    Subtract 5

    Hint: Subtracting 5 undoes adding 5. Do the same to both sides to keep the balance.

  2. Question 2

    Solve: 5x + 2 = 27

    • x = 29
    • x = 25
    • x = 6
    • x = 5
    Show answer

    x = 5

    Hint: Subtract 2 to get 5x = 25, then divide by 5.

  3. Question 3

    Solve: 2x + 3 = 11

    • x = 7
    • x = 4
    • x = 14
    • x = 8
    Show answer

    x = 4

    Hint: Subtract 3 to get 2x = 8, then divide by 2.

  4. Question 4

    To solve 3x = 18, what do you do to both sides?

    • Divide by 3
    • Add 3
    • Subtract 3
    • Multiply by 3
    Show answer

    Divide by 3

    Hint: Dividing by 3 undoes multiplying by 3.

  5. Question 5

    A scale is level with x + 3 on one side and 10 on the other. If 3 is taken from both sides, what is left?

    • x = 13
    • x = 7
    • x = 10
    • x = 3
    Show answer

    x = 7

    Hint: Taking the same amount off both sides keeps it level: x on one side, 7 on the other.

  6. Question 6

    What is the value of 10 − n when n = −4?

    • 6
    • −6
    • 14
    • −14
    Show answer

    14

    Hint: 10 − (−4) = 10 + 4.