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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 764 · 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 9x − 88 = 29, what is x? (a) 12 (b) 117 (c) 13 (d) 14
  2. 2.If x/2 + 6 = 8, what is x? (a) 2 (b) 4 (c) 10 (d) 28
  3. 3.If 7x − 36 = 20, what is x? (a) 56 (b) 7 (c) 8 (d) 9
  4. 4.If 7x + 25 = 46, what is x? (a) 4 (b) 2 (c) 21 (d) 3
  5. 5.If 7x + 1 = 36, what is x? (a) 5 (b) 35 (c) 6 (d) 4
  6. 6.If 2x − 1 = 3, what is x? (a) 1 (b) 4 (c) 3 (d) 2
  7. 7.If 6x − 36 = 42, what is x? (a) 78 (b) 14 (c) 13 (d) 1
  8. 8.If x/6 + 14 = 21, what is x? (a) 7 (b) 42 (c) 210 (d) 112
  9. 9.If 9x + 10 = 145, what is x? (a) 135 (b) 16 (c) 15 (d) 14
  10. 10.If 7x − 83 = 22, what is x? (a) 105 (b) 16 (c) 15 (d) 14
  11. 11.If 3x − 2 = 7, what is x? (a) 9 (b) 4 (c) 3 (d) 2
  12. 12.If 5x + 24 = 54, what is x? (a) 30 (b) 5 (c) 7 (d) 6
  13. 13.If 2x − 9 = 13, what is x? (a) 12 (b) 2 (c) 11 (d) 22
  14. 14.If 6x + 8 = 32, what is x? (a) 3 (b) 5 (c) 4 (d) 24
  15. 15.If 2x + 25 = 49, what is x? (a) 37 (b) 24 (c) 13 (d) 12
  16. 16.If 7x + 3 = 24, what is x? (a) 2 (b) 3 (c) 21 (d) 4
  17. 17.If 5x − 25 = 45, what is x? (a) 4 (b) 14 (c) 15 (d) 70
  18. 18.If 3x − 9 = 27, what is x? (a) 6 (b) 12 (c) 36 (d) 13
  19. 19.If x/2 + 3 = 14, what is x? (a) 34 (b) 11 (c) 25 (d) 22
  20. 20.If 2x + 30 = 34, what is x? (a) 2 (b) 3 (c) 4 (d) 32
  21. 21.If x/4 + 8 = 18, what is x? (a) 104 (b) 40 (c) 10 (d) 64
  22. 22.If 2x + 21 = 41, what is x? (a) 20 (b) 31 (c) 11 (d) 10
  23. 23.If x/5 + 14 = 23, what is x? (a) 185 (b) 101 (c) 9 (d) 45
  24. 24.If 4x − 1 = 15, what is x? (a) 16 (b) 5 (c) 4 (d) 3
  25. 25.If 3x + 22 = 52, what is x? (a) 10 (b) 30 (c) 9 (d) 11
  26. 26.If 7x − 72 = 19, what is x? (a) 14 (b) 91 (c) 12 (d) 13
  27. 27.If 8x + 17 = 2x + 47, what is x? (a) 7 (b) 6 (c) 3 (d) 5
  28. 28.If x/3 + 14 = 24, what is x? (a) 30 (b) 10 (c) 58 (d) 114
  29. 29.If 4x + 11 = 2x + 33, what is x? (a) 13 (b) 11 (c) 22 (d) 12
  30. 30.If 2x + 30 = 60, what is x? (a) 15 (b) 45 (c) 16 (d) 30
  31. 31.If x/6 + 13 = 22, what is x? (a) 210 (b) 9 (c) 119 (d) 54
  32. 32.If 5x + 3 = 4x + 6, what is x? (a) 9 (b) 3 (c) 4 (d) 5
  33. 33.If 7x − 59 = 25, what is x? (a) 12 (b) 84 (c) 13 (d) 11
  34. 34.If x/6 + 2 = 10, what is x? (a) 8 (b) 72 (c) 58 (d) 48
  35. 35.If 8x − 21 = 75, what is x? (a) 12 (b) 96 (c) 11 (d) 13
  36. 36.If 5x + 9 = 29, what is x? (a) 4 (b) 5 (c) 3 (d) 20
  37. 37.If 4x + 17 = 69, what is x? (a) 13 (b) 14 (c) 12 (d) 52
  38. 38.If 7x − 2 = 61, what is x? (a) 63 (b) 9 (c) 10 (d) 8
  39. 39.If x/3 + 11 = 22, what is x? (a) 11 (b) 99 (c) 33 (d) 55
  40. 40.If 2x + 13 = 19, what is x? (a) 4 (b) 16 (c) 3 (d) 6

Answer key

  1. 13
  2. 4
  3. 8
  4. 3
  5. 5
  6. 2
  7. 13
  8. 42
  9. 15
  10. 15
  11. 3
  12. 6
  13. 11
  14. 4
  15. 12
  16. 3
  17. 14
  18. 12
  19. 22
  20. 2
  21. 40
  22. 10
  23. 45
  24. 4
  25. 10
  26. 13
  27. 5
  28. 30
  29. 11
  30. 15
  31. 54
  32. 3
  33. 12
  34. 48
  35. 12
  36. 4
  37. 13
  38. 9
  39. 33
  40. 3

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