Grade 7, Patterns and equations
Two-step equations
Solve two-step equations such as 3x + 4 = 16, with whole-number answers.
Three levels
One skill, rising difficulty
Each sheet carries one level. The three are the same skill at rising difficulty, each named for what it practises.
- Level 1: ax + b = c
- Solve each equation.
- Level 2: ax − b = c
- Solve each equation.
- Level 3: Mixed forms
- Solve each equation.
Worked example
How the sheet explains it
The helper printed at the top of each sheet: one solved example and the steps a student follows, before the first question. Every number sentence in it is proven by the same checker as the answer key.
Level 1: ax + b = c
3x + 4 = 16 x = 4
- Undo the + 4 first. Subtract 4 from both sides: 16 − 4 = 12, so 3x = 12.
- Then undo × 3. Divide both sides by 3: 12 ÷ 3 = 4.
- Check: 3 × 4 + 4 = 16.
Level 2: ax − b = c
4x − 11 = 37 x = 12
- Undo the − 11 first. Add 11 to both sides: 37 + 11 = 48, so 4x = 48.
- Then divide both sides by 4: 48 ÷ 4 = 12.
- Check: 4 × 12 − 11 = 37.
Level 3: Mixed forms
51 = 6x − 15 x = 11
- Undo the − 15 first. Add 15 to both sides: 51 + 15 = 66, so 66 = 6x.
- Then divide both sides by 6: 66 ÷ 6 = 11.
- Check: 6 × 11 − 15 = 51.
Goes with
Reference sheets
One-page helpers a student keeps beside this sheet:
- Solving equations
Every reference, facts and support sheet is listed in the worksheet catalogue.
In the BC curriculum
Content standards
The British Columbia content standard this skill is written for, by the codes used across this site:
- bc.math.7.c.6
The wording of each standard is on the Province's mathematics curriculum page.
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