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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 592 · 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 4x − 2 = 22, what is x? (a) 5 (b) 24 (c) 7 (d) 6
  2. 2.If 7x − 16 = 89, what is x? (a) 105 (b) 14 (c) 15 (d) 16
  3. 3.If 3x − 24 = 6, what is x? (a) 30 (b) 9 (c) 10 (d) 11
  4. 4.If 8x − 87 = 9, what is x? (a) 12 (b) 11 (c) 96 (d) 13
  5. 5.If x/2 + 3 = 7, what is x? (a) 11 (b) 20 (c) 8 (d) 4
  6. 6.If 8x + 18 = 34, what is x? (a) 1 (b) 3 (c) 16 (d) 2
  7. 7.If x/5 + 1 = 10, what is x? (a) 9 (b) 45 (c) 49 (d) 55
  8. 8.If x/2 + 3 = 14, what is x? (a) 34 (b) 25 (c) 22 (d) 11
  9. 9.If x/6 + 2 = 10, what is x? (a) 72 (b) 58 (c) 48 (d) 8
  10. 10.If 6x + 12 = 84, what is x? (a) 16 (b) 72 (c) 12 (d) 13
  11. 11.If 4x − 8 = 16, what is x? (a) 2 (b) 6 (c) 24 (d) 7
  12. 12.If 7x + 26 = 131, what is x? (a) 14 (b) 15 (c) 16 (d) 105
  13. 13.If 5x + 1 = 11, what is x? (a) 10 (b) 3 (c) 1 (d) 2
  14. 14.If 6x − 8 = 28, what is x? (a) 7 (b) 36 (c) 6 (d) 5
  15. 15.If x/6 + 3 = 15, what is x? (a) 108 (b) 87 (c) 72 (d) 12
  16. 16.If 3x + 17 = x + 31, what is x? (a) 7 (b) 24 (c) 9 (d) 8
  17. 17.If 9x + 17 = 116, what is x? (a) 99 (b) 10 (c) 11 (d) 12
  18. 18.If 6x + 17 = 3x + 53, what is x? (a) 4 (b) 14 (c) 13 (d) 12
  19. 19.If 3x − 4 = 8, what is x? (a) 12 (b) 4 (c) 5 (d) 3
  20. 20.If 7x + 1 = 4x + 34, what is x? (a) 11 (b) 13 (c) 3 (d) 12
  21. 21.If 4x − 7 = 13, what is x? (a) 20 (b) 5 (c) 6 (d) 4
  22. 22.If 9x + 16 = 7x + 40, what is x? (a) 14 (b) 28 (c) 13 (d) 12
  23. 23.If 3x − 5 = 19, what is x? (a) 24 (b) 8 (c) 9 (d) 7
  24. 24.If 2x − 1 = 7, what is x? (a) 8 (b) 3 (c) 5 (d) 4
  25. 25.If 3x + 4 = x + 14, what is x? (a) 7 (b) 5 (c) 6 (d) 9
  26. 26.If 9x + 28 = 163, what is x? (a) 15 (b) 135 (c) 16 (d) 14
  27. 27.If 9x + 20 = 6x + 50, what is x? (a) 2 (b) 11 (c) 12 (d) 10
  28. 28.If x/4 + 5 = 11, what is x? (a) 39 (b) 24 (c) 6 (d) 64
  29. 29.If 2x − 6 = 8, what is x? (a) 8 (b) 14 (c) 7 (d) 1
  30. 30.If x/2 + 12 = 14, what is x? (a) 52 (b) 16 (c) 2 (d) 4
  31. 31.If 4x + 2 = x + 14, what is x? (a) 5 (b) 4 (c) 3 (d) 6
  32. 32.If x/4 + 6 = 10, what is x? (a) 64 (b) 4 (c) 34 (d) 16
  33. 33.If 6x − 15 = 9, what is x? (a) 24 (b) 4 (c) 5 (d) 3
  34. 34.If x/4 + 9 = 12, what is x? (a) 3 (b) 12 (c) 39 (d) 84
  35. 35.If 3x + 4 = 13, what is x? (a) 3 (b) 9 (c) 4 (d) 2
  36. 36.If 6x + 20 = 38, what is x? (a) 18 (b) 4 (c) 2 (d) 3
  37. 37.If x/2 + 10 = 18, what is x? (a) 8 (b) 16 (c) 26 (d) 56
  38. 38.If x/3 + 9 = 13, what is x? (a) 30 (b) 66 (c) 4 (d) 12
  39. 39.If 2x + 28 = 38, what is x? (a) 33 (b) 6 (c) 5 (d) 10
  40. 40.If 6x + 1 = x + 11, what is x? (a) 4 (b) 1 (c) 2 (d) 3

Answer key

  1. 6
  2. 15
  3. 10
  4. 12
  5. 8
  6. 2
  7. 45
  8. 22
  9. 48
  10. 12
  11. 6
  12. 15
  13. 2
  14. 6
  15. 72
  16. 7
  17. 11
  18. 12
  19. 4
  20. 11
  21. 5
  22. 12
  23. 8
  24. 4
  25. 5
  26. 15
  27. 10
  28. 24
  29. 7
  30. 4
  31. 4
  32. 16
  33. 4
  34. 12
  35. 3
  36. 3
  37. 16
  38. 12
  39. 5
  40. 2

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