MathematicsFreePrintable

Equivalent Expressions Worksheet

A free mathematics worksheet ready for your classroom. Open in Kuraplan to grab the print-ready PDF, customize it for your students, or generate a fresh version in seconds.

Equivalent Expressions Worksheet worksheet preview
Name:Date:

Equivalent Expressions Worksheet

Help the puzzle team unlock the supply cabinet! Simplify, expand, and compare expressions. Show your reasoning for written answers.

Clue 1: Sort the Expressions

Equivalent expressions have the same value for every value of the variable.

Card A: 3x + 5x

Card B: 8x

Card C: 2(x + 4)

Card D: 2x + 8

Card E: 5y - 2y + 6

Card F: 3y + 6

1.Using the Expression Card Display, select every pair of cards that shows equivalent expressions.
  • A and B
  • C and D
  • E and F
  • A and D
2.Simplify 7a - 3a + 2. Which expression is equivalent?
  • 4a + 2
  • 10a + 2
  • 4a - 2
  • 4a² + 2
3.A snack bag contains x pretzels. Write an expression for 4 bags, each with x pretzels and 3 extra crackers. Then write an equivalent expression without parentheses.

Clue 2: Open the Lock

Use the distributive property and combine like terms to simplify each expression.

4.Simplify 5m + 2m - 4. Combine the like terms, but do not combine unlike terms.
5.Expand and simplify 3(2p + 5) + p. Show how you distribute before combining like terms.
6.True or false: 2(3x + 4) is equivalent to 6x + 4. If false, correct the expression.
TrueFalse
7.Match each expression on the left with its equivalent expression on the right.
  • 4(2r - 1)
  • 9t - 5t + 2
  • 3(q + 6)
  • 4t + 2
  • 8r - 4
  • 3q + 18
8.A teammate says 6n + 2n + 5 is equivalent to 8(n + 5). Is the teammate correct? Explain by simplifying both expressions.
9.Create a different expression equivalent to 12w + 6. Use parentheses, then show how expanding it gives 12w + 6.

2 printable pages

  • Equivalent Expressions Worksheet, page 1 of 2: Clue 1: Sort the Expressions, Clue 2: Open the Lock

    Page 1

  • Equivalent Expressions Worksheet, page 2 of 2: 6. True or false: 2(3x + 4) is equivalent to 6x + 4. If false, correct the expression.

    Page 2

About This Worksheet

Free in Kuraplan

Sign up free, grab the PDF, and customize it for your class.

Print-Ready

Formatted for standard paper. Clean layout, easy to read.

AI-Generated

Created with Kuraplan's AI, designed for real classroom use.

For Teachers & Parents

Use in classrooms, for homework, tutoring, or homeschool.

Need a custom version of this worksheet?

Kuraplan's AI generates custom worksheets in seconds — differentiated for every learner, aligned to your curriculum.

Generate Custom Worksheets — Free
No credit card Curriculum-aligned Under 60 seconds