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Distributive Property: Classroom Packet

Grade 8 Algebra: Distributive Property

Name: ______________________Date: ____________Score: ____ / 6

Level 1

Expand a single bracket

  1. 1. Expand:
    2(x+3)2(x + 3)
  2. 2. Expand:
    5(y−4)5(y - 4)
  3. 3. Expand:
    3(2a+1)3(2a + 1)
  4. 4. Expand:
    4(3−m)4(3 - m)
  5. 5. Expand:
    x(x+2)x(x + 2)
  6. 6. Expand:
    6(2k−5)6(2k - 5)

Answer Key

Level 1

  1. 1. 2x+62x + 6
  2. 2. 5y−205y - 20
  3. 3. 6a+36a + 3
  4. 4. 12−4m12 - 4m
  5. 5. x2+2xx^2 + 2x
  6. 6. 12k−3012k - 30

Grade 8 Algebra: Distributive Property

Name: ______________________Date: ____________Score: ____ / 6

Level 2

Negatives and combining

  1. 1. Expand:
    −3(x+4)-3(x + 4)
  2. 2. Expand:
    −(2y−7)-(2y - 7)
  3. 3. Simplify:
    2(x+5)+3x2(x + 5) + 3x
  4. 4. Simplify:
    4(a−2)−a4(a - 2) - a
  5. 5. Simplify:
    7−2(n+1)7 - 2(n + 1)
  6. 6. Expand:
    −4(−3p+2)-4(-3p + 2)

Answer Key

Level 2

  1. 1. −3x−12-3x - 12
  2. 2. −2y+7-2y + 7
  3. 3. 5x+105x + 10
  4. 4. 3a−83a - 8
  5. 5. −2n+5-2n + 5
  6. 6. 12p−812p - 8

Grade 8 Algebra: Distributive Property

Name: ______________________Date: ____________Score: ____ / 6

Level 3

Multiple brackets

  1. 1. Simplify:
    3(x+2)+2(x−1)3(x + 2) + 2(x - 1)
  2. 2. Simplify:
    5(2a−1)−3(a+4)5(2a - 1) - 3(a + 4)
  3. 3. Simplify:
    x(x−3)+2(x+5)x(x - 3) + 2(x + 5)
  4. 4. Simplify:
    12(4y+6)−(y−1)\tfrac{1}{2}(4y + 6) - (y - 1)
  5. 5. Simplify:
    −2(3m−n)+4(m+2n)-2(3m - n) + 4(m + 2n)
  6. 6. Simplify:
    3[2(x+1)−x]3[2(x + 1) - x]

Answer Key

Level 3

  1. 1. 5x+45x + 4
  2. 2. 7a−177a - 17
  3. 3. x2−x+10x^2 - x + 10
  4. 4. y+4y + 4
  5. 5. −2m+10n-2m + 10n
  6. 6. 3x+63x + 6