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.
Alberta Curriculum learning outcome: PR3, PR4, PR5, PR6 · expressions versus equations, evaluating expressions, preserving equality and one-step equations
Sample questions
A taste of this unit. In the app, questions change every time and get easier or harder to match your child.
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
Show answer
4n + 9 = 21
Hint: The notebooks cost 4 × n, then add the pen: 4n + 9.
Question 2
Which equation is equivalent to 5p = 10? (Same solution.)
- 15p = 13
- 15p = 10
- 5p + 3 = 10
- 15p = 30
Show answer
15p = 30
Hint: Multiplying both sides by 3 gives 15p = 30.
Question 3
Which one is an expression?
- 9m + 1
- 6m + 11 = 27
- 6m = 11
- m + 4 = 22
Show answer
9m + 1
Hint: An expression is a maths phrase with no equals sign, like 3n + 2.
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
Show answer
6n + 7 = 31
Hint: The notebooks cost 6 × n, then add the pen: 6n + 7.
Question 5
Which one is an equation?
- 7n + 1 = 16
- 8n − 12
- 7n + 3
- 3n + 8
Show answer
7n + 1 = 16
Hint: An equation has an equals sign and says two amounts are the same. An expression does not.
Question 6
Evaluate 6m + 7 when m = 4.
- 27
- 31
- 32
Show answer
31
Hint: Replace m with 4: 6 × 4 + 7.