Grade 7 Two-Step Equations Worksheets
Start with eight focused practice problems, then use the answer key below to check the worksheet.
Practice Worksheet
Grade 7 Two-Step Equations Practice
Solve each problem. Show your work.
- 1.Solve: 2x - 6 = 2
- 2.Solve: 8x + 6 = 54
- 3.Solve: 7x - 7 = 0
- 4.Solve: 6x - 1 = 53
- 5.Solve: 5x - 11 = 39
- 6.Solve: 9x - 9 = 63
- 7.Solve: 3x + 5 = 29
- 8.Solve: 6x - 7 = 47
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Show answer key
- Question 1: x = 4
- Question 2: x = 6
- Question 3: x = 1
- Question 4: x = 9
- Question 5: x = 10
- Question 6: x = 8
- Question 7: x = 8
- Question 8: x = 9
Learning path
Where this skill fits
Follow the amber skills back when this worksheet feels too hard. Longer-term skills this unlocks are listed separately below.
Prerequisite
One-Step Equations
Grade 7
Prerequisite
Combining Like Terms
Grade 7
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Two-Step Equations
Grade 7
Unlocks later
Related practice
Next Steps
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About These Worksheets
Grade 7 students learn the basic two-step solving sequence using mostly friendly numbers and visible inverse operations.
Two-step equations worksheets help students move from isolated inverse operations to a full solving sequence. A problem such as 3x + 5 = 20 requires students to undo addition or subtraction first, then undo multiplication or division. The order matters, and these worksheets give students enough repetition to make the sequence feel reliable.
Students practise equations with whole numbers, integers, fractions, and simple decimals, with some word problems that require defining the variable before solving. The habit of checking by substitution is emphasized because two-step equations have more places for small arithmetic errors. This skill is a direct bridge to Grade 9 linear equations, where variables may appear on both sides and expressions may include brackets. Strong two-step fluency keeps later algebra from becoming a pile-up of procedural confusion.
Skills Practised
- Undoing addition or subtraction before multiplication or division
- Solving equations with two inverse-operation steps
- Working with integer, fraction, and decimal coefficients
- Checking solutions by substituting into the original equation
- Translating simple word problems into equations
Parent Tip: Ask, 'What is happening to x, and what do we undo first?' This helps your child see the equation as a sequence rather than trying random operations.