Common Core 7.EE

Grade 7 Expressions and Equations Test Generator

Generate a Grade 7 expressions and equations test with printable PDF output and answer keys.

Useful for teachers assessing equivalent expressions, multi-step equations, and equation reasoning in Grade 7.

Create Grade 7 expressions and equations test

Sample questions

1. Simplify: 3(x + 4) - 2x
2. Solve: 4x - 9 = 19
3. A phone plan costs $12 plus $5 per gigabyte. Write an equation for total cost c using g gigabytes.
4. Solve: 2(x - 3) + 5 = 17
5. Are 5a + 10 and 5(a + 2) equivalent?

Answer key preview

1. x + 12

Distribute 3 to get 3x + 12, then combine like terms: 3x - 2x = x.

2. x = 7

Add 9 to both sides to get 4x = 28, then divide by 4.

3. c = 5g + 12

The variable cost is 5g and the fixed fee is 12, so combine them.

Skills assessed

  • Equivalent expressions
  • Distributive property
  • Multi-step equations
  • Equation modeling with context

Common student mistakes

  • Forgetting to distribute to every term inside parentheses
  • Combining unlike terms
  • Dropping negative signs during equation solving

Related topic pages

FAQ

Does this page focus on 7.EE skills?
Yes. It is built for Grade 7 expressions and equations topics including equivalent expressions, multi-step equations, and equation-based word problems.
Does the generated test include an answer key?
Yes. MathQuizily generates a printable PDF with a worked answer key for the test.