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Grade 7 · Math · Unit 9 of 16

Expressions & Equations

Keep both sides balanced

What your child practises

The difference between an expression and an equation, evaluating expressions, keeping equations balanced, and solving one-step equations with integers.

Nunavut Curriculum approved guide: Alberta Mathematics K–9 (2007), Patterns and Relations · expressions versus equations, evaluating expressions, preserving equality and one-step equations

How we explain it

Children can open this short lesson before they practise.

  1. An expression has no equals sign: 3n + 2. An equation does: 3n + 2 = 11.
  2. To evaluate, replace the letter with its number.
  3. To solve a one-step equation, do the opposite operation to both sides.

Example: Solve n + 9 = 14. Subtract 9 from both sides. n = 14 − 9 = 5. Answer: n = 5

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

    Jay buys 4 notebooks that each cost the same price, n, and a $9 pen. The total is $21. Which equation matches?

    • 4 + n + 9 = 21
    • 4n − 9 = 21
    • n + 36 = 21
    • 4n + 9 = 21

  2. Question 2

    Which equation is equivalent to 5p = 10? (Same solution.)

    • 15p = 13
    • 15p = 10
    • 5p + 3 = 10
    • 15p = 30

  3. Question 3

    Which one is an expression?

    • 9m + 1
    • 6m + 11 = 27
    • 6m = 11
    • m + 4 = 22

  4. Question 4

    Jay buys 6 notebooks that each cost the same price, n, and a $7 pen. The total is $31. Which equation matches?

    • n + 42 = 31
    • 6 + n + 7 = 31
    • 6n − 7 = 31
    • 6n + 7 = 31

  5. Question 5

    Which one is an equation?

    • 7n + 1 = 16
    • 8n − 12
    • 7n + 3
    • 3n + 8

  6. Question 6

    Evaluate 6m + 7 when m = 4.

    • 27
    • 31
    • 32

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