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Grade 8 Combine like terms Worksheets

Grade 8 practice: Collect terms that have the same variable part. Choose a level below to generate a fresh set of questions.

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Understanding combine like terms

Combining like terms simplifies an expression by collecting terms that share the same variable part. Students add or subtract the coefficients of like terms while keeping the variable the same, and they leave unlike terms separate. This tidies expressions into their simplest form and is a routine first step before solving many equations.

For 5x + 3 + 2x − 1, group the x terms, 5x + 2x = 7x, and the constants, 3 − 1 = 2, giving 7x + 2. A common mistake is combining unlike terms, such as adding 5x and 3 to get 8x, or merging x and x2 terms. Tip: identify the variable part of each term, only combine terms whose variable parts match exactly, and keep the sign in front of each term with it as you gather them.

Sample combine like terms questions

These examples come from the Easy setting. Generate a worksheet for a complete page with space for working.

  1. Simplify 2x + 4x − 12.
  2. Simplify 9x − 6x − 5.
  3. Simplify 6x − 7x − 5.
  4. Simplify 2x − 7x − 12.
Check the sample answers
  1. 6x − 12
  2. 3x − 5
  3. -1x − 5
  4. -5x − 12

Practice focus

Collect terms that have the same variable part. Show each step and check the answer.

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