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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 532 · 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 3x + 11 = 38, what is x? (a) 10 (b) 9 (c) 8 (d) 27
  2. 2.If 8x − 15 = 97, what is x? (a) 15 (b) 112 (c) 13 (d) 14
  3. 3.If 9x − 48 = 24, what is x? (a) 7 (b) 8 (c) 72 (d) 9
  4. 4.If 3x + 19 = x + 37, what is x? (a) 10 (b) 11 (c) 9 (d) 28
  5. 5.If 3x + 3 = 2x + 13, what is x? (a) 10 (b) 2 (c) 11 (d) 16
  6. 6.If 6x − 17 = 1, what is x? (a) 2 (b) 4 (c) 3 (d) 18
  7. 7.If 2x + 25 = 33, what is x? (a) 8 (b) 5 (c) 29 (d) 4
  8. 8.If 5x + 6 = 81, what is x? (a) 75 (b) 16 (c) 14 (d) 15
  9. 9.If 3x + 3 = 30, what is x? (a) 27 (b) 11 (c) 10 (d) 9
  10. 10.If 9x + 12 = 120, what is x? (a) 12 (b) 108 (c) 13 (d) 11
  11. 11.If 7x − 33 = 58, what is x? (a) 91 (b) 14 (c) 12 (d) 13
  12. 12.If 6x + 12 = x + 47, what is x? (a) 5 (b) 8 (c) 9 (d) 7
  13. 13.If 4x + 19 = x + 34, what is x? (a) 3 (b) 5 (c) 6 (d) 7
  14. 14.If 4x + 30 = 74, what is x? (a) 11 (b) 26 (c) 44 (d) 12
  15. 15.If 8x + 14 = 134, what is x? (a) 14 (b) 15 (c) 120 (d) 16
  16. 16.If 6x + 15 = 5x + 22, what is x? (a) 9 (b) 8 (c) 7 (d) 37
  17. 17.If 7x − 63 = 14, what is x? (a) 10 (b) 77 (c) 11 (d) 12
  18. 18.If 8x − 93 = 3, what is x? (a) 11 (b) 12 (c) 13 (d) 96
  19. 19.If 9x + 4 = 2x + 53, what is x? (a) 6 (b) 8 (c) 9 (d) 7
  20. 20.If 9x − 56 = 43, what is x? (a) 11 (b) 10 (c) 12 (d) 99
  21. 21.If 6x + 23 = 65, what is x? (a) 42 (b) 8 (c) 6 (d) 7
  22. 22.If 5x + 28 = 73, what is x? (a) 45 (b) 8 (c) 10 (d) 9
  23. 23.If 9x − 9 = 27, what is x? (a) 36 (b) 2 (c) 4 (d) 5
  24. 24.If 4x − 1 = 7, what is x? (a) 8 (b) 2 (c) 1 (d) 3
  25. 25.If 7x + 1 = 6x + 13, what is x? (a) 12 (b) 11 (c) 14 (d) 13
  26. 26.If 2x − 2 = 14, what is x? (a) 16 (b) 6 (c) 9 (d) 8
  27. 27.If 4x + 5 = 65, what is x? (a) 16 (b) 15 (c) 14 (d) 60
  28. 28.If 9x + 22 = 67, what is x? (a) 45 (b) 5 (c) 6 (d) 4
  29. 29.If 8x + 6 = 110, what is x? (a) 12 (b) 13 (c) 14 (d) 104
  30. 30.If x/5 + 3 = 12, what is x? (a) 9 (b) 57 (c) 45 (d) 75
  31. 31.If 2x − 1 = 9, what is x? (a) 5 (b) 10 (c) 4 (d) 6
  32. 32.If 4x + 9 = x + 24, what is x? (a) 11 (b) 6 (c) 5 (d) 3
  33. 33.If 7x + 6 = 41, what is x? (a) 35 (b) 4 (c) 6 (d) 5
  34. 34.If 8x + 20 = 2x + 74, what is x? (a) 10 (b) 11 (c) 9 (d) 8
  35. 35.If 6x + 28 = 82, what is x? (a) 10 (b) 8 (c) 54 (d) 9
  36. 36.If x/2 + 5 = 7, what is x? (a) 9 (b) 2 (c) 4 (d) 24
  37. 37.If x/5 + 7 = 9, what is x? (a) 10 (b) 80 (c) 2 (d) 38
  38. 38.If x/4 + 11 = 21, what is x? (a) 10 (b) 128 (c) 40 (d) 73
  39. 39.If 9x + 10 = 4x + 65, what is x? (a) 12 (b) 13 (c) 11 (d) 15
  40. 40.If 4x − 2 = 26, what is x? (a) 7 (b) 28 (c) 6 (d) 8

Answer key

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

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