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Two-Step and Multi-Step Inequalities: Classroom Packet

Grade 8 Algebra: Two-Step and Multi-Step Inequalities

Name: ______________________Date: ____________Score: ____ / 6

Level 1

Two-step, positive coefficients

  1. 1. Solve:
    2x+3>112x + 3 > 11
  2. 2. Solve:
    3y−4≤143y - 4 \le 14
  3. 3. Solve:
    4n+1<−74n + 1 < -7
  4. 4. Solve:
    5m−2≥135m - 2 \ge 13
  5. 5. Solve:
    k2+1>4\dfrac{k}{2} + 1 > 4
  6. 6. Solve:
    6p+5≤356p + 5 \le 35

Answer Key

Level 1

  1. 1. x>4x > 4
  2. 2. y≤6y \le 6
  3. 3. n<−2n < -2
  4. 4. m≥3m \ge 3
  5. 5. k>6k > 6
  6. 6. p≤5p \le 5

Grade 8 Algebra: Two-Step and Multi-Step Inequalities

Name: ______________________Date: ____________Score: ____ / 6

Level 2

Two-step, flip the sign

  1. 1. Solve:
    −3x+2>14-3x + 2 > 14
  2. 2. Solve:
    5−2y≤115 - 2y \le 11
  3. 3. Solve:
    −4n−1<15-4n - 1 < 15
  4. 4. Solve:
    7−m≥37 - m \ge 3
  5. 5. Solve:
    −k2+3<1-\dfrac{k}{2} + 3 < 1
  6. 6. Solve:
    10−3p>−510 - 3p > -5

Answer Key

Level 2

  1. 1. x<−4x < -4
  2. 2. y≥−3y \ge -3
  3. 3. n>−4n > -4
  4. 4. m≤4m \le 4
  5. 5. k>4k > 4
  6. 6. p<5p < 5

Grade 8 Algebra: Two-Step and Multi-Step Inequalities

Name: ______________________Date: ____________Score: ____ / 6

Level 3

Distribute and variables on both sides

  1. 1. Solve:
    3(x−2)>93(x - 2) > 9
  2. 2. Solve:
    2(y+4)≤3y+12(y + 4) \le 3y + 1
  3. 3. Solve:
    5n−3<2n+95n - 3 < 2n + 9
  4. 4. Solve:
    −2(m−1)≥m+8-2(m - 1) \ge m + 8
  5. 5. Solve:
    4(k+1)−k>164(k + 1) - k > 16
  6. 6. Solve:
    p+53<p−1\dfrac{p + 5}{3} < p - 1

Answer Key

Level 3

  1. 1. x>5x > 5
  2. 2. y≥7y \ge 7
  3. 3. n<4n < 4
  4. 4. m≤−2m \le -2
  5. 5. k>4k > 4
  6. 6. p>4p > 4