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One-Step Inequalities: Classroom Packet

Grade 8 Algebra: One-Step Inequalities

Name: ______________________Date: ____________Score: ____ / 6

Level 1

Addition and subtraction

  1. 1. Solve:
    x+4>9x + 4 > 9
  2. 2. Solve:
    y−3≤7y - 3 \le 7
  3. 3. Solve:
    n+8<2n + 8 < 2
  4. 4. Solve:
    m−5≥−1m - 5 \ge -1
  5. 5. Solve:
    6+k>156 + k > 15
  6. 6. Solve:
    p−2.5<1.5p - 2.5 < 1.5

Answer Key

Level 1

  1. 1. x>5x > 5
  2. 2. y≤10y \le 10
  3. 3. n<−6n < -6
  4. 4. m≥4m \ge 4
  5. 5. k>9k > 9
  6. 6. p<4p < 4

Grade 8 Algebra: One-Step Inequalities

Name: ______________________Date: ____________Score: ____ / 6

Level 2

Multiply or divide by a positive

  1. 1. Solve:
    3x<183x < 18
  2. 2. Solve:
    y4≥5\dfrac{y}{4} \ge 5
  3. 3. Solve:
    7n>−217n > -21
  4. 4. Solve:
    m2≤−3\dfrac{m}{2} \le -3
  5. 5. Solve:
    5k≥355k \ge 35
  6. 6. Solve:
    23p<8\tfrac{2}{3}p < 8

Answer Key

Level 2

  1. 1. x<6x < 6
  2. 2. y≥20y \ge 20
  3. 3. n>−3n > -3
  4. 4. m≤−6m \le -6
  5. 5. k≥7k \ge 7
  6. 6. p<12p < 12

Grade 8 Algebra: One-Step Inequalities

Name: ______________________Date: ____________Score: ____ / 6

Level 3

Multiply or divide by a negative (flip the sign)

  1. 1. Solve:
    −2x<10-2x < 10
  2. 2. Solve:
    −y3≥4-\dfrac{y}{3} \ge 4
  3. 3. Solve:
    −5n≤−25-5n \le -25
  4. 4. Solve:
    m−4>2\dfrac{m}{-4} > 2
  5. 5. Solve:
    −k>6-k > 6
  6. 6. Solve:
    −0.5p≥3-0.5p \ge 3

Answer Key

Level 3

  1. 1. x>−5x > -5
  2. 2. y≤−12y \le -12
  3. 3. n≥5n \ge 5
  4. 4. m<−8m < -8
  5. 5. k<−6k < -6
  6. 6. p≤−6p \le -6