Multi-step equations
This Grade 8 worksheet practices multi-step equations (Common Core 8.EE.C.7, 8.EE.C.7b; Alberta Patterns and Relations 2).
14 multi-step equations for Grade 8, with an answer key. Free printable PDF.
14 problems · answer key on the last page · each version has different numbers · Print from the browser
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On this sheet
- 2(x + 7) = 14 — answer: x = 0
- 5(n − 8) − 5 = −45 — answer: n = 0
- 9y − 9 = 6y − 9 — answer: y = 0
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?
- 14 on one page, with the answer key on the last page.
- What grade and standard is it for?
- Grade 8. Common Core: 8.EE.C.7, 8.EE.C.7b. Alberta: Patterns and Relations 2.
- 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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