Grade 6, Patterns and equations
One-step equations
Solve one-step equations such as 3x = 12 and x + 5 = 11.
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: Add and subtract
- Solve each equation.
- Level 2: Multiply and divide
- Solve each equation.
- Level 3: Mixed
- 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: Add and subtract
x − 39 = 42 x = 81
- Keep both sides balanced: do the same thing to each side.
- Add 39 to both sides: x = 42 + 39 = 81.
- Check: 81 − 39 = 42.
- For 49 − x = 9, add x to both sides: 49 is 9 + x, so x = 49 − 9 = 40.
Level 2: Multiply and divide
7x = 84 x = 12
- 7x means 7 × x, so divide both sides by 7: x = 84 ÷ 7 = 12.
- Check: 7 × 12 = 84.
- For x ÷ 4 = 9, multiply both sides by 4: x = 9 × 4 = 36.
Level 3: Mixed
86 = x − 11 x = 97
- The letter is on the right side. Solve it the same way: do the same thing to both sides.
- Add 11 to both sides: 86 + 11 = 97, so x = 97.
- Check: 97 − 11 = 86.
- For 49 − x = 9, add x to both sides: 49 is 9 + x, so x = 49 − 9 = 40.
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.6.c.10
The wording of each standard is on the Province's mathematics curriculum page.
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