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One-step inequalities with positive numbers

Year 8 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: x + 2 > 10. Write the answer as x < a number or x > a number.
  2. Solve: x ÷ 2 > 5. Write the answer as x < a number or x > a number.
  3. Solve: x − 4 < 5. Write the answer as x < a number or x > a number.
  4. Solve: x + 6 < 8. Write the answer as x < a number or x > a number.
  5. Solve: x ÷ 10 < 3. Write the answer as x < a number or x > a number.
  6. Solve: x ÷ 10 > 6. Write the answer as x < a number or x > a number.
  7. Solve: 4x < 24. Write the answer as x < a number or x > a number.
  8. Solve: 3x < 21. Write the answer as x < a number or x > a number.
  9. Solve: x + 3 < 4. Write the answer as x < a number or x > a number.
  10. Solve: x + 7 > 19. Write the answer as x < a number or x > a number.
  11. Solve: 3x < 36. Write the answer as x < a number or x > a number.
  12. Solve: x − 2 > 7. Write the answer as x < a number or x > a number.
  13. Solve: x − 11 > −6. Write the answer as x < a number or x > a number.
  14. Solve: x + 6 < 21. Write the answer as x < a number or x > a number.
  15. Solve: 6x < 30. Write the answer as x < a number or x > a number.
  16. Solve: x − 12 < −3. Write the answer as x < a number or x > a number.
  17. Solve: x − 26 > −2. Write the answer as x < a number or x > a number.
  18. Solve: x + 13 < 34. Write the answer as x < a number or x > a number.
  19. Solve: x ÷ 19 < 15. Write the answer as x < a number or x > a number.
  20. Solve: x ÷ 18 < 23. Write the answer as x < a number or x > a number.
More free practice: fieldbooklearning.com/uk/practice/year-8/one-step-inequalities-with-positive-numbers/

Answer key: One-step inequalities with positive numbers

  1. >, 8
  2. >, 10
  3. <, 9
  4. <, 2
  5. <, 30
  6. >, 60
  7. <, 6
  8. <, 7
  9. <, 1
  10. >, 12
  11. <, 12
  12. >, 9
  13. >, 5
  14. <, 15
  15. <, 5
  16. <, 9
  17. >, 24
  18. <, 21
  19. <, 285
  20. <, 414