Unit 06 · Expressions and EquivalenceLesson

Day 088Combining Like Terms

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Standards 6.EE.A.3
LEARNING TARGET

I can combine terms with the same variable part.

Build the idea

Terms with the same variable part count the same kind of object. Add their coefficients. Keep constants separate from variable terms and distribute before combining when parentheses are present.

WORKED EXAMPLE 1

Simplify 7x + 6x. Explain which terms combine.

13x

Add coefficients of x terms; add only constants to constants. Distribute first if needed.

WORKED EXAMPLE 2

Simplify 8(x + 3) + 2x. Explain which terms combine.

10x + 24

Add coefficients of x terms; add only constants to constants. Distribute first if needed.

Your turn

Work in order. Start with the foundations, then build toward explanation and application.

  1. Simplify 5x + 4x. Explain which terms combine.

  2. Simplify 6x + 2x. Explain which terms combine.

  3. Simplify 3x + 4x. Explain which terms combine.

  4. Simplify 3x + 6 + 2x + 3. Explain which terms combine.

  5. Simplify 5x + 5 + 2x + 5. Explain which terms combine.

  6. Simplify 4x + 2 + 3x + 4. Explain which terms combine.

  7. Simplify 8(x + 3) + 5x. Explain which terms combine.

  8. Simplify 5(x + 3) + 4x. Explain which terms combine.

  9. Simplify 7(x + 3) + 4x. Explain which terms combine.

  10. Simplify 4(x + 4) + 7x. Explain which terms combine.

Answers and reasoning

Reveal the teacher answer key
  1. 9x

    Add coefficients of x terms; add only constants to constants. Distribute first if needed.

  2. 8x

    Add coefficients of x terms; add only constants to constants. Distribute first if needed.

  3. 7x

    Add coefficients of x terms; add only constants to constants. Distribute first if needed.

  4. 5x + 9

    Add coefficients of x terms; add only constants to constants. Distribute first if needed.

  5. 7x + 10

    Add coefficients of x terms; add only constants to constants. Distribute first if needed.

  6. 7x + 6

    Add coefficients of x terms; add only constants to constants. Distribute first if needed.

  7. 13x + 24

    Add coefficients of x terms; add only constants to constants. Distribute first if needed.

  8. 9x + 15

    Add coefficients of x terms; add only constants to constants. Distribute first if needed.

  9. 11x + 21

    Add coefficients of x terms; add only constants to constants. Distribute first if needed.

  10. 11x + 16

    Add coefficients of x terms; add only constants to constants. Distribute first if needed.

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