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Variables on Both Sides: Classroom Packet

Grade 8 Algebra: Variables on Both Sides

Name: ______________________Date: ____________Score: ____ / 6

Level 1

Simple both-sides

  1. 1. Solve:
    5x=3x+85x = 3x + 8
  2. 2. Solve:
    7y−4=3y+127y - 4 = 3y + 12
  3. 3. Solve:
    2n+9=5n2n + 9 = 5n
  4. 4. Solve:
    6m+1=4m+116m + 1 = 4m + 11
  5. 5. Solve:
    9k−5=4k+209k - 5 = 4k + 20
  6. 6. Solve:
    3p+14=8p−13p + 14 = 8p - 1

Answer Key

Level 1

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

Grade 8 Algebra: Variables on Both Sides

Name: ______________________Date: ____________Score: ____ / 6

Level 2

Distribute first

  1. 1. Solve:
    2(x+3)=x+102(x + 3) = x + 10
  2. 2. Solve:
    4(y−1)=2y+64(y - 1) = 2y + 6
  3. 3. Solve:
    3(n+2)=5(n−2)3(n + 2) = 5(n - 2)
  4. 4. Solve:
    −2(m−4)=m−7-2(m - 4) = m - 7
  5. 5. Solve:
    6(k+1)=2(k+9)6(k + 1) = 2(k + 9)
  6. 6. Solve:
    5(p−2)=3p+45(p - 2) = 3p + 4

Answer Key

Level 2

  1. 1. x=4x = 4
  2. 2. y=5y = 5
  3. 3. n=8n = 8
  4. 4. m=5m = 5
  5. 5. k=3k = 3
  6. 6. p=7p = 7

Grade 8 Algebra: Variables on Both Sides

Name: ______________________Date: ____________Score: ____ / 6

Level 3

Special cases and fractions

  1. 1. Solve, or say no solution / infinitely many:
    3(x+2)=3x+63(x + 2) = 3x + 6
  2. 2. Solve, or say no solution / infinitely many:
    2(y+1)=2y+52(y + 1) = 2y + 5
  3. 3. Solve:
    12n+4=14n+6\tfrac{1}{2}n + 4 = \tfrac{1}{4}n + 6
  4. 4. Solve:
    0.3m+2=0.1m+30.3m + 2 = 0.1m + 3
  5. 5. Solve:
    k+32=k+73\dfrac{k + 3}{2} = \dfrac{k + 7}{3}
  6. 6. Solve:
    4(2p−1)−3p=2(p+4)4(2p - 1) - 3p = 2(p + 4)

Answer Key

Level 3

  1. 1. infinitely many\text{infinitely many}
  2. 2. no solution\text{no solution}
  3. 3. n=8n = 8
  4. 4. m=5m = 5
  5. 5. k=5k = 5
  6. 6. p=4p = 4