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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 45 · 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 − 102 = 33, what is x? (a) 135 (b) 14 (c) 16 (d) 15
  2. 2.If x/6 + 14 = 21, what is x? (a) 210 (b) 112 (c) 42 (d) 7
  3. 3.If 8x − 12 = 4, what is x? (a) 3 (b) 16 (c) 1 (d) 2
  4. 4.If x/4 + 6 = 16, what is x? (a) 88 (b) 10 (c) 40 (d) 58
  5. 5.If 2x − 3 = 1, what is x? (a) 3 (b) 4 (c) 2 (d) 1
  6. 6.If 4x + 22 = 66, what is x? (a) 22 (b) 12 (c) 11 (d) 44
  7. 7.If 6x + 5 = 53, what is x? (a) 8 (b) 9 (c) 7 (d) 48
  8. 8.If x/6 + 12 = 21, what is x? (a) 9 (b) 114 (c) 198 (d) 54
  9. 9.If x/5 + 2 = 6, what is x? (a) 28 (b) 20 (c) 40 (d) 4
  10. 10.If x/4 + 15 = 26, what is x? (a) 164 (b) 89 (c) 44 (d) 11
  11. 11.If 2x − 4 = 22, what is x? (a) 14 (b) 13 (c) 26 (d) 9
  12. 12.If 2x + 1 = 29, what is x? (a) 28 (b) 13 (c) 14 (d) 15
  13. 13.If 3x + 27 = 66, what is x? (a) 13 (b) 31 (c) 39 (d) 14
  14. 14.If 5x + 5 = 75, what is x? (a) 16 (b) 14 (c) 70 (d) 15
  15. 15.If x/4 + 13 = 18, what is x? (a) 124 (b) 5 (c) 59 (d) 20
  16. 16.If x/2 + 9 = 15, what is x? (a) 6 (b) 12 (c) 48 (d) 21
  17. 17.If 8x + 18 = 50, what is x? (a) 32 (b) 5 (c) 4 (d) 3
  18. 18.If 8x − 42 = 14, what is x? (a) 8 (b) 6 (c) 56 (d) 7
  19. 19.If 8x + 20 = 116, what is x? (a) 17 (b) 96 (c) 12 (d) 13
  20. 20.If 7x + 14 = 119, what is x? (a) 19 (b) 16 (c) 15 (d) 105
  21. 21.If x/4 + 12 = 20, what is x? (a) 68 (b) 8 (c) 32 (d) 128
  22. 22.If 9x + 8 = 98, what is x? (a) 90 (b) 9 (c) 10 (d) 11
  23. 23.If 5x + 19 = 34, what is x? (a) 15 (b) 2 (c) 4 (d) 3
  24. 24.If 7x + 16 = 51, what is x? (a) 4 (b) 6 (c) 5 (d) 35
  25. 25.If 8x + 10 = 3x + 20, what is x? (a) 2 (b) 4 (c) 3 (d) 6
  26. 26.If 2x + 15 = 45, what is x? (a) 16 (b) 15 (c) 30 (d) 14
  27. 27.If 3x − 12 = 30, what is x? (a) 42 (b) 14 (c) 6 (d) 15
  28. 28.If 3x − 28 = 8, what is x? (a) 13 (b) 36 (c) 12 (d) 11
  29. 29.If x/6 + 4 = 6, what is x? (a) 32 (b) 12 (c) 2 (d) 60
  30. 30.If 8x − 7 = 113, what is x? (a) 15 (b) 14 (c) 16 (d) 120
  31. 31.If 3x + 2 = x + 12, what is x? (a) 5 (b) 6 (c) 7 (d) 4
  32. 32.If x/3 + 11 = 13, what is x? (a) 28 (b) 2 (c) 72 (d) 6
  33. 33.If 2x − 2 = 12, what is x? (a) 5 (b) 7 (c) 14 (d) 8
  34. 34.If 4x − 17 = 39, what is x? (a) 56 (b) 13 (c) 14 (d) 15
  35. 35.If 5x + 6 = 56, what is x? (a) 9 (b) 50 (c) 11 (d) 10
  36. 36.If 2x − 5 = 3, what is x? (a) 3 (b) 4 (c) 8 (d) 5
  37. 37.If 3x + 30 = 75, what is x? (a) 35 (b) 45 (c) 15 (d) 16
  38. 38.If x/4 + 8 = 18, what is x? (a) 64 (b) 10 (c) 40 (d) 104
  39. 39.If x/4 + 4 = 11, what is x? (a) 60 (b) 40 (c) 28 (d) 7
  40. 40.If 4x + 10 = 3x + 22, what is x? (a) 14 (b) 12 (c) 13 (d) 32

Answer key

  1. 15
  2. 42
  3. 2
  4. 40
  5. 2
  6. 11
  7. 8
  8. 54
  9. 20
  10. 44
  11. 13
  12. 14
  13. 13
  14. 14
  15. 20
  16. 12
  17. 4
  18. 7
  19. 12
  20. 15
  21. 32
  22. 10
  23. 3
  24. 5
  25. 2
  26. 15
  27. 14
  28. 12
  29. 12
  30. 15
  31. 5
  32. 6
  33. 7
  34. 14
  35. 10
  36. 4
  37. 15
  38. 40
  39. 28
  40. 12

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