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One-step inequalities with negative numbers

Year 7 maths · 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: −6x < 60. Write the answer as x < a number or x > a number.
  2. Solve: x ÷ 4 > −4. Write the answer as x < a number or x > a number.
  3. Solve: x ÷ 5 < 5. Write the answer as x < a number or x > a number.
  4. Solve: 6x < 36. Write the answer as x < a number or x > a number.
  5. Solve: x ÷ (−5) > 6. Write the answer as x < a number or x > a number.
  6. Solve: x + 3 > 0. Write the answer as x < a number or x > a number.
  7. Solve: x ÷ 9 < 9. Write the answer as x < a number or x > a number.
  8. Solve: x ÷ (−10) < −2. Write the answer as x < a number or x > a number.
  9. Solve: x ÷ 2 > 6. Write the answer as x < a number or x > a number.
  10. Solve: x − 10 < 5. Write the answer as x < a number or x > a number.
  11. Solve: x ÷ (−14) < −3. Write the answer as x < a number or x > a number.
  12. Solve: x + 2 < 8. Write the answer as x < a number or x > a number.
  13. Solve: x + 5 < 8. Write the answer as x < a number or x > a number.
  14. Solve: x + 15 > −1. Write the answer as x < a number or x > a number.
  15. Solve: x ÷ (−16) < −14. Write the answer as x < a number or x > a number.
  16. Solve: x ÷ 6 < 17. Write the answer as x < a number or x > a number.
  17. Solve: x − 7 > −32. Write the answer as x < a number or x > a number.
  18. Solve: x − 8 < −13. Write the answer as x < a number or x > a number.
  19. Solve: −5x < −60. Write the answer as x < a number or x > a number.
  20. Solve: x ÷ (−7) > −17. Write the answer as x < a number or x > a number.
More free practice: fieldbooklearning.com/au/practice/year-7/one-step-inequalities-with-negative-numbers/

Answer key: One-step inequalities with negative numbers

  1. >, -10
  2. >, -16
  3. <, 25
  4. <, 6
  5. <, -30
  6. >, -3
  7. <, 81
  8. >, 20
  9. >, 12
  10. <, 15
  11. >, 42
  12. <, 6
  13. <, 3
  14. >, -16
  15. >, 224
  16. <, 102
  17. >, -25
  18. <, -5
  19. >, 12
  20. <, 119