Simplify expressions: distribute and combine like terms

Grade 8 Math Worksheet - Building Confidence

NameDate

Circle the best answer, or write your answer on the line.

  1. Ari's card shows 3x + 5 − x + 2. The x terms join, and the plain numbers join. How would Ari write it with as few terms as possible?

  2. Bo's card shows 6x − 4 + 2x − 3. The x terms join, and the plain numbers join. How would Bo write it with as few terms as possible?

  3. Esme's card shows 5x − 7 − 3x + 10. The x terms join, and the plain numbers join. How would Esme write it with as few terms as possible?

  4. Jun's card shows −2x + 9 + 7x − 4. The x terms join, and the plain numbers join. How would Jun write it with as few terms as possible?

  5. Kira spreads −2(x − 4): the −2 multiplies each term inside. How would Kira write −2(x − 4) with as few terms as possible?

  6. Luz spreads −3(2x + 7): the −3 multiplies each term inside. How would Luz write −3(2x + 7) with as few terms as possible?

  7. Noah spreads 3(x − 6): the 3 multiplies each term inside. How would Noah write 3(x − 6) with as few terms as possible?

  8. Pia spreads 3(x + 5) first, then joins the x terms. How would Pia write 3(x + 5) + 4x with as few terms as possible?

  9. Tala spreads 4(x − 3) first, then joins the x terms. How would Tala write 4(x − 3) + 2x with as few terms as possible?

  10. Zee spreads 5(2x + 1) first, then joins the x terms. How would Zee write 5(2x + 1) − 3x with as few terms as possible?

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Simplify expressions: distribute and combine like terms

Answer Key - Grade 8 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.

  1. Ari's card shows 3x + 5 − x + 2. The x terms join, and the plain numbers join. How would Ari write it with as few terms as possible?

    2x + 7
  2. Bo's card shows 6x − 4 + 2x − 3. The x terms join, and the plain numbers join. How would Bo write it with as few terms as possible?

    8x - 7
  3. Esme's card shows 5x − 7 − 3x + 10. The x terms join, and the plain numbers join. How would Esme write it with as few terms as possible?

    2x + 3
  4. Jun's card shows −2x + 9 + 7x − 4. The x terms join, and the plain numbers join. How would Jun write it with as few terms as possible?

    5x + 5
  5. Kira spreads −2(x − 4): the −2 multiplies each term inside. How would Kira write −2(x − 4) with as few terms as possible?

    -2x + 8
  6. Luz spreads −3(2x + 7): the −3 multiplies each term inside. How would Luz write −3(2x + 7) with as few terms as possible?

    -6x - 21
  7. Noah spreads 3(x − 6): the 3 multiplies each term inside. How would Noah write 3(x − 6) with as few terms as possible?

    3x - 18
  8. Pia spreads 3(x + 5) first, then joins the x terms. How would Pia write 3(x + 5) + 4x with as few terms as possible?

    7x + 15
  9. Tala spreads 4(x − 3) first, then joins the x terms. How would Tala write 4(x − 3) + 2x with as few terms as possible?

    6x - 12
  10. Zee spreads 5(2x + 1) first, then joins the x terms. How would Zee write 5(2x + 1) − 3x with as few terms as possible?

    7x + 5