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Two-step inequalities with positive numbers

Grade 7 math · Fieldbook Learning

Name ______________________ Date __________

Solve like an equation. If you multiply or divide by a negative number, flip the sign. Write the sign and the number.

  1. Solve: 3x − 4 < 20. Write the answer as x < a number or x > a number.
  2. Solve: 3x + 6 > 33. Write the answer as x < a number or x > a number.
  3. Solve: 5x + 7 > 37. Write the answer as x < a number or x > a number.
  4. Solve: 2x + 5 < 19. Write the answer as x < a number or x > a number.
  5. Solve: 7x − 16 > 19. Write the answer as x < a number or x > a number.
  6. Solve: 6x + 2 < 26. Write the answer as x < a number or x > a number.
  7. Solve: 9x − 16 > 38. Write the answer as x < a number or x > a number.
  8. Solve: 6x + 12 < 66. Write the answer as x < a number or x > a number.
  9. Solve: 10x − 9 < 1. Write the answer as x < a number or x > a number.
  10. Solve: 7x − 9 > 61. Write the answer as x < a number or x > a number.
  11. Solve: 7x − 8 > 13. Write the answer as x < a number or x > a number.
  12. Solve: 10x − 19 < 121. Write the answer as x < a number or x > a number.
  13. Solve: 7x − 22 > 55. Write the answer as x < a number or x > a number.
  14. Solve: 11x − 4 < 40. Write the answer as x < a number or x > a number.
  15. Solve: 8x − 3 < 29. Write the answer as x < a number or x > a number.
  16. Solve: 7x − 10 < 109. Write the answer as x < a number or x > a number.
  17. Solve: 16x + 5 > 37. Write the answer as x < a number or x > a number.
  18. Solve: 2x − 19 > 37. Write the answer as x < a number or x > a number.
  19. Solve: 12x − 20 > 280. Write the answer as x < a number or x > a number.
  20. Solve: 18x − 20 > 304. Write the answer as x < a number or x > a number.
More free practice: fieldbooklearning.com/ca/practice/grade-7/two-step-inequalities-with-positive-numbers/

Answer key: Two-step inequalities with positive numbers

  1. <, 8
  2. >, 9
  3. >, 6
  4. <, 7
  5. >, 5
  6. <, 4
  7. >, 6
  8. <, 9
  9. <, 1
  10. >, 10
  11. >, 3
  12. <, 14
  13. >, 11
  14. <, 4
  15. <, 4
  16. <, 17
  17. >, 2
  18. >, 28
  19. >, 25
  20. >, 18