Create a free account now and get 3 full lessons, completely free. Get my 3 free lessons

Worldwide: choose your country
Practise online insteadThe answer key prints on page 2.

Two-step inequalities with negative 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: −5x + 8 < 33. Write the answer as x < a number or x > a number.
  2. Solve: −3x − 5 < 10. Write the answer as x < a number or x > a number.
  3. Solve: −4x + 7 > 39. Write the answer as x < a number or x > a number.
  4. Solve: 5x + 2 < 42. Write the answer as x < a number or x > a number.
  5. Solve: −2x − 8 < 2. Write the answer as x < a number or x > a number.
  6. Solve: −2x − 10 < −26. Write the answer as x < a number or x > a number.
  7. Solve: −3x − 10 < −19. Write the answer as x < a number or x > a number.
  8. Solve: −6x − 17 < 31. Write the answer as x < a number or x > a number.
  9. Solve: −8x − 21 < −29. Write the answer as x < a number or x > a number.
  10. Solve: −10x + 1 < 91. Write the answer as x < a number or x > a number.
  11. Solve: 7x − 19 > 51. Write the answer as x < a number or x > a number.
  12. Solve: −6x − 22 > −82. Write the answer as x < a number or x > a number.
  13. Solve: 13x − 17 < −147. Write the answer as x < a number or x > a number.
  14. Solve: −7x + 26 > −37. Write the answer as x < a number or x > a number.
  15. Solve: 12x − 9 > −81. Write the answer as x < a number or x > a number.
  16. Solve: −2x − 8 < −20. Write the answer as x < a number or x > a number.
  17. Solve: 20x + 37 > 77. Write the answer as x < a number or x > a number.
  18. Solve: −16x − 4 > 172. Write the answer as x < a number or x > a number.
  19. Solve: −7x + 32 > −80. Write the answer as x < a number or x > a number.
  20. Solve: −17x + 3 > 207. Write the answer as x < a number or x > a number.
More free practice: fieldbooklearning.com/practice/grade-7/two-step-inequalities-with-negative-numbers/

Answer key: Two-step inequalities with negative numbers

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