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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 487 · 40 questions
TalentJR

How to solve it (Balance): Bring the x terms to one side and the plain numbers to the other (change the sign when you move a term across). Divide both sides by the number in front of x (or multiply if x is divided). Check by putting your answer back into the equation.

NameDateTime takenScore ___ / 40
  1. 1.If x/2 + 14 = 20, what is x? (a) 6 (b) 68 (c) 12 (d) 26
  2. 2.If 2x + 8 = 24, what is x? (a) 16 (b) 7 (c) 8 (d) 9
  3. 3.If 4x + 10 = 3x + 21, what is x? (a) 12 (b) 31 (c) 13 (d) 11
  4. 4.If 7x − 6 = 8, what is x? (a) 3 (b) 1 (c) 14 (d) 2
  5. 5.If 5x + 22 = 62, what is x? (a) 9 (b) 40 (c) 7 (d) 8
  6. 6.If 4x − 31 = 29, what is x? (a) 16 (b) 14 (c) 60 (d) 15
  7. 7.If 3x − 10 = 32, what is x? (a) 42 (b) 14 (c) 15 (d) 13
  8. 8.If 2x + 27 = 53, what is x? (a) 13 (b) 40 (c) 14 (d) 26
  9. 9.If x/2 + 4 = 10, what is x? (a) 16 (b) 6 (c) 12 (d) 28
  10. 10.If x/2 + 10 = 13, what is x? (a) 3 (b) 16 (c) 46 (d) 6
  11. 11.If x/6 + 12 = 22, what is x? (a) 10 (b) 60 (c) 204 (d) 120
  12. 12.If 4x + 9 = 3x + 11, what is x? (a) 2 (b) 3 (c) 20 (d) 4
  13. 13.If x/2 + 2 = 6, what is x? (a) 4 (b) 10 (c) 16 (d) 8
  14. 14.If 7x + 19 = 6x + 26, what is x? (a) 45 (b) 9 (c) 7 (d) 8
  15. 15.If x/6 + 11 = 16, what is x? (a) 85 (b) 5 (c) 30 (d) 162
  16. 16.If 7x − 3 = 74, what is x? (a) 77 (b) 12 (c) 10 (d) 11
  17. 17.If 9x + 5 = 7x + 9, what is x? (a) 3 (b) 2 (c) 4 (d) 7
  18. 18.If x/2 + 5 = 7, what is x? (a) 4 (b) 9 (c) 24 (d) 2
  19. 19.If x/3 + 1 = 6, what is x? (a) 5 (b) 21 (c) 15 (d) 17
  20. 20.If x/4 + 8 = 12, what is x? (a) 4 (b) 80 (c) 16 (d) 40
  21. 21.If 2x − 1 = 19, what is x? (a) 9 (b) 20 (c) 11 (d) 10
  22. 22.If 9x + 10 = 145, what is x? (a) 135 (b) 15 (c) 14 (d) 16
  23. 23.If 9x + 12 = 8x + 16, what is x? (a) 5 (b) 6 (c) 28 (d) 4
  24. 24.If 2x + 18 = 46, what is x? (a) 28 (b) 32 (c) 15 (d) 14
  25. 25.If 2x + 24 = 40, what is x? (a) 8 (b) 32 (c) 9 (d) 16
  26. 26.If 9x − 10 = 71, what is x? (a) 8 (b) 81 (c) 9 (d) 10
  27. 27.If 8x − 1 = 15, what is x? (a) 2 (b) 1 (c) 16 (d) 3
  28. 28.If 6x + 1 = 55, what is x? (a) 8 (b) 9 (c) 10 (d) 54
  29. 29.If 5x + 12 = 82, what is x? (a) 70 (b) 13 (c) 15 (d) 14
  30. 30.If 8x + 20 = 5x + 29, what is x? (a) 4 (b) 2 (c) 5 (d) 3
  31. 31.If 3x − 12 = 30, what is x? (a) 14 (b) 15 (c) 42 (d) 6
  32. 32.If 3x − 2 = 16, what is x? (a) 7 (b) 5 (c) 18 (d) 6
  33. 33.If x/5 + 13 = 25, what is x? (a) 12 (b) 190 (c) 112 (d) 60
  34. 34.If x/4 + 1 = 4, what is x? (a) 20 (b) 3 (c) 15 (d) 12
  35. 35.If 5x + 2 = 3x + 18, what is x? (a) 2 (b) 8 (c) 9 (d) 10
  36. 36.If 6x + 16 = 4x + 28, what is x? (a) 7 (b) 8 (c) 22 (d) 6
  37. 37.If 4x + 11 = 47, what is x? (a) 8 (b) 10 (c) 9 (d) 36
  38. 38.If 5x + 9 = 79, what is x? (a) 14 (b) 15 (c) 13 (d) 70
  39. 39.If 7x + 5 = 103, what is x? (a) 15 (b) 14 (c) 13 (d) 98
  40. 40.If 8x + 9 = 57, what is x? (a) 48 (b) 5 (c) 7 (d) 6

Answer key

  1. 12
  2. 8
  3. 11
  4. 2
  5. 8
  6. 15
  7. 14
  8. 13
  9. 12
  10. 6
  11. 60
  12. 2
  13. 8
  14. 7
  15. 30
  16. 11
  17. 2
  18. 4
  19. 15
  20. 16
  21. 10
  22. 15
  23. 4
  24. 14
  25. 8
  26. 9
  27. 2
  28. 9
  29. 14
  30. 3
  31. 14
  32. 6
  33. 60
  34. 12
  35. 8
  36. 6
  37. 9
  38. 14
  39. 14
  40. 6

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