Two-step equations
This Grade 7 worksheet practices two-step equations (Common Core 7.EE.B.4, 7.EE.B.4a; Alberta Patterns and Relations 3; Alberta Patterns and Relations 7).
16 two-step equations for Grade 7, with an answer key. Free printable PDF.
16 problems · answer key on the last page · each version has different numbers · Print from the browser
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On this sheet
- 2y + 14 = 36 — answer: y = 11
- y ÷ 4 + 14 = 26 — answer: y = 48
- 8n + 23 = 103 — answer: n = 10
How to teach it
- Undo what was done to the variable, in reverse order: first undo adding or subtracting, then multiplying or dividing.
- Whatever you do to one side, do to the other, so the equation stays balanced.
- With brackets, expand first; with the variable on both sides, gather it on one side.
- With an inequality, multiplying or dividing both sides by a negative number reverses the sign.
- Check by putting the answer back into the original equation.
Questions teachers ask
- How many problems are on this worksheet?
- 16 on one page, with the answer key on the last page.
- What grade and standard is it for?
- Grade 7. Common Core: 7.EE.B.4, 7.EE.B.4a. Alberta: Patterns and Relations 3, Patterns and Relations 7.
- Can I print more than one version?
- Yes. Every version has different numbers and its own answer key. Use “Make another version” for a new one; the same version always prints the same.
- What grade learns one-step and two-step equations?
- In the Common Core, one-step equations are Grade 6 (6.EE.B.7), two-step equations and inequalities are Grade 7 (7.EE.B.4), and multi-step equations with the variable on both sides are Grade 8 (8.EE.C.7).
- What is the difference between an equation and an inequality?
- An equation says two amounts are equal and usually has one solution. An inequality says one is greater or less than the other, and has a whole range of solutions.
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