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. 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?

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

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

  6. Milo spreads 5(3 − 2x): the 5 multiplies each term inside. How would Milo write 5(3 − 2x) 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. Ren spreads 2(3x + 7) first, then joins the x terms. How would Ren write 2(3x + 7) − 5x 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. 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
  4. 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
  5. 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
  6. Milo spreads 5(3 − 2x): the 5 multiplies each term inside. How would Milo write 5(3 − 2x) with as few terms as possible?

    -10x + 15
  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. Ren spreads 2(3x + 7) first, then joins the x terms. How would Ren write 2(3x + 7) − 5x with as few terms as possible?

    x + 14
  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