Grade 6 One-Step Equations Worksheets
Start with eight focused practice problems, then use the answer key below to check the worksheet.
Practice Worksheet
Grade 6 One-Step Equations Practice
Solve each problem. Show your work.
- 1.Solve: 7x = 77
- 2.Solve: 11x = 132
- 3.Solve: 12x = 60
- 4.Solve: 7x = 42
- 5.Solve: 11x = 110
- 6.Solve: x - 4 = 1
- 7.Solve: x + 8 = 20
- 8.Solve: x + 6 = 8
Show answer key
- Question 1: x = 11
- Question 2: x = 12
- Question 3: x = 5
- Question 4: x = 6
- Question 5: x = 10
- Question 6: x = 5
- Question 7: x = 12
- Question 8: x = 2
Next Steps
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About These Worksheets
Grade 6 students solve simple one-step equations as an introduction to variables and inverse operations.
One-step equations worksheets introduce students to the central idea of algebra: an equation stays balanced when the same operation is applied to both sides. Students solve problems such as x + 7 = 19 or 4x = 28 by undoing a single operation, then checking the result by substituting it back into the original equation. This makes algebra feel like reasoning, not guessing.
The worksheets include addition, subtraction, multiplication, and division equations with positive whole numbers and, for older students, simple decimals or fractions. The focus is on identifying the operation attached to the variable and applying the inverse operation cleanly. One-step equations are a small skill with a large payoff: students who understand balance here are much more prepared for two-step equations, proportional reasoning, and linear relations in Grade 8 and Grade 9.
Skills Practised
- Identifying the operation applied to a variable
- Using inverse operations to isolate the variable
- Keeping both sides of an equation balanced
- Checking solutions by substitution
- Solving addition, subtraction, multiplication, and division equations
Parent Tip: Have your child say the inverse operation out loud before solving. If the equation says '+ 9,' they should say 'subtract 9 from both sides' before writing any numbers.