Simplify expressions: distribute and combine like terms

Grade 8 Math Worksheet

NameDate

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

  1. Ari takes away a whole bracket in 5x − (2x − 3). How would Ari write 5x − (2x − 3) with as few terms as possible?

  2. Bo takes away a whole bracket in 7x − (3x + 4) + 2. How would Bo write 7x − (3x + 4) + 2 with as few terms as possible?

  3. Kira spreads both brackets in 2(x + 3) − 3(x − 1), then joins like terms. How would Kira write it with as few terms as possible?

  4. Luz spreads both brackets in 4(x − 2) − 2(x + 1), then joins like terms. How would Luz write it with as few terms as possible?

  5. Milo spreads both brackets in 3(2x + 1) − 5(x − 2), then joins like terms. How would Milo write it with as few terms as possible?

  6. Noah spreads both brackets in 5(x + 4) − 2(3x − 1), then joins like terms. How would Noah write it with as few terms as possible?

  7. Pia's fraction card says 0.5(4x − 6) + 0.5x. How would Pia write it with as few terms as possible?

  8. Ren's fraction card says (1/3)(6x + 9) − x. How would Ren write it with as few terms as possible?

  9. Tala's fraction card says 0.25(8x − 12) + 1.5x + 4. How would Tala write it with as few terms as possible?

  10. Esme checks a puzzle card: which expression is equal to 5(x − 1) − 3(x − 2)?

    • 2x − 11
    • 8x + 1
    • 2x + 1
    • 2x − 3
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Simplify expressions: distribute and combine like terms

Answer Key - Grade 8 Math Worksheet

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

  1. Ari takes away a whole bracket in 5x − (2x − 3). How would Ari write 5x − (2x − 3) with as few terms as possible?

    3x + 3
  2. Bo takes away a whole bracket in 7x − (3x + 4) + 2. How would Bo write 7x − (3x + 4) + 2 with as few terms as possible?

    4x - 2
  3. Kira spreads both brackets in 2(x + 3) − 3(x − 1), then joins like terms. How would Kira write it with as few terms as possible?

    -x + 9
  4. Luz spreads both brackets in 4(x − 2) − 2(x + 1), then joins like terms. How would Luz write it with as few terms as possible?

    2x - 10
  5. Milo spreads both brackets in 3(2x + 1) − 5(x − 2), then joins like terms. How would Milo write it with as few terms as possible?

    x + 13
  6. Noah spreads both brackets in 5(x + 4) − 2(3x − 1), then joins like terms. How would Noah write it with as few terms as possible?

    -x + 22
  7. Pia's fraction card says 0.5(4x − 6) + 0.5x. How would Pia write it with as few terms as possible?

    2.5x - 3
  8. Ren's fraction card says (1/3)(6x + 9) − x. How would Ren write it with as few terms as possible?

    x + 3
  9. Tala's fraction card says 0.25(8x − 12) + 1.5x + 4. How would Tala write it with as few terms as possible?

    3.5x + 1
  10. Esme checks a puzzle card: which expression is equal to 5(x − 1) − 3(x − 2)?

    • 2x − 11
    • 8x + 1
    • 2x + 1
    • 2x − 3