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Multi-Step Equations: Classroom Packet

Grade 8 Algebra: Multi-Step Equations

Name: ______________________Date: ____________Score: ____ / 6

Level 1

Combine like terms first

  1. 1. Solve:
    3x+2x=253x + 2x = 25
  2. 2. Solve:
    4y+3−y=184y + 3 - y = 18
  3. 3. Solve:
    7n−2n+1=217n - 2n + 1 = 21
  4. 4. Solve:
    2m+5+3m=302m + 5 + 3m = 30
  5. 5. Solve:
    6k−4−2k=126k - 4 - 2k = 12
  6. 6. Solve:
    9p−3p−6=309p - 3p - 6 = 30

Answer Key

Level 1

  1. 1. x=5x = 5
  2. 2. y=5y = 5
  3. 3. n=4n = 4
  4. 4. m=5m = 5
  5. 5. k=4k = 4
  6. 6. p=6p = 6

Grade 8 Algebra: Multi-Step Equations

Name: ______________________Date: ____________Score: ____ / 6

Level 2

Distributive property

  1. 1. Solve:
    2(x+4)=182(x + 4) = 18
  2. 2. Solve:
    3(y−2)=213(y - 2) = 21
  3. 3. Solve:
    −4(n+1)=12-4(n + 1) = 12
  4. 4. Solve:
    5(2m−1)=355(2m - 1) = 35
  5. 5. Solve:
    12(k+6)=7\tfrac{1}{2}(k + 6) = 7
  6. 6. Solve:
    −(p−3)=8-(p - 3) = 8

Answer Key

Level 2

  1. 1. x=5x = 5
  2. 2. y=9y = 9
  3. 3. n=−4n = -4
  4. 4. m=4m = 4
  5. 5. k=8k = 8
  6. 6. p=−5p = -5

Grade 8 Algebra: Multi-Step Equations

Name: ______________________Date: ____________Score: ____ / 6

Level 3

Distribute and combine

  1. 1. Solve:
    3(x+2)+4=223(x + 2) + 4 = 22
  2. 2. Solve:
    2(y−3)+5y=152(y - 3) + 5y = 15
  3. 3. Solve:
    4(n+1)−2(n−3)=164(n + 1) - 2(n - 3) = 16
  4. 4. Solve:
    5−2(m+4)=−95 - 2(m + 4) = -9
  5. 5. Solve:
    3(2k−1)−(k+2)=203(2k - 1) - (k + 2) = 20
  6. 6. Solve:
    13(6p−9)+p=9\tfrac{1}{3}(6p - 9) + p = 9

Answer Key

Level 3

  1. 1. x=4x = 4
  2. 2. y=3y = 3
  3. 3. n=3n = 3
  4. 4. m=3m = 3
  5. 5. k=5k = 5
  6. 6. p=4p = 4