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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 160 · 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 5x + 11 = 86, what is x? (a) 16 (b) 14 (c) 75 (d) 15
  2. 2.If 7x + 4 = 88, what is x? (a) 12 (b) 84 (c) 11 (d) 13
  3. 3.If 7x + 2 = 79, what is x? (a) 12 (b) 11 (c) 10 (d) 77
  4. 4.If 2x − 11 = 1, what is x? (a) 5 (b) 6 (c) 7 (d) 12
  5. 5.If 7x + 3 = 3x + 51, what is x? (a) 13 (b) 11 (c) 14 (d) 12
  6. 6.If 7x − 10 = 81, what is x? (a) 14 (b) 13 (c) 91 (d) 12
  7. 7.If 4x + 27 = 55, what is x? (a) 8 (b) 6 (c) 7 (d) 28
  8. 8.If 5x + 6 = 46, what is x? (a) 40 (b) 7 (c) 8 (d) 9
  9. 9.If 8x − 1 = 55, what is x? (a) 56 (b) 7 (c) 8 (d) 6
  10. 10.If x/6 + 12 = 16, what is x? (a) 168 (b) 4 (c) 24 (d) 84
  11. 11.If 9x + 10 = 118, what is x? (a) 108 (b) 11 (c) 13 (d) 12
  12. 12.If 9x + 19 = 8x + 28, what is x? (a) 10 (b) 9 (c) 11 (d) 47
  13. 13.If 6x + 17 = 5x + 20, what is x? (a) 37 (b) 5 (c) 4 (d) 3
  14. 14.If 8x − 86 = 34, what is x? (a) 120 (b) 16 (c) 15 (d) 14
  15. 15.If 7x + 16 = 30, what is x? (a) 14 (b) 1 (c) 3 (d) 2
  16. 16.If 4x − 2 = 6, what is x? (a) 1 (b) 8 (c) 3 (d) 2
  17. 17.If 7x + 28 = 133, what is x? (a) 16 (b) 105 (c) 15 (d) 23
  18. 18.If 6x + 22 = 100, what is x? (a) 12 (b) 78 (c) 14 (d) 13
  19. 19.If 8x + 13 = 133, what is x? (a) 16 (b) 15 (c) 120 (d) 14
  20. 20.If x/5 + 3 = 5, what is x? (a) 22 (b) 2 (c) 10 (d) 40
  21. 21.If 4x + 3 = x + 21, what is x? (a) 8 (b) 5 (c) 7 (d) 6
  22. 22.If 6x − 4 = 20, what is x? (a) 5 (b) 3 (c) 24 (d) 4
  23. 23.If 5x + 13 = 43, what is x? (a) 7 (b) 5 (c) 30 (d) 6
  24. 24.If x/4 + 15 = 24, what is x? (a) 36 (b) 81 (c) 156 (d) 9
  25. 25.If 5x + 12 = 37, what is x? (a) 4 (b) 5 (c) 6 (d) 25
  26. 26.If x/6 + 6 = 15, what is x? (a) 54 (b) 9 (c) 84 (d) 126
  27. 27.If 9x + 2 = 6x + 11, what is x? (a) 5 (b) 2 (c) 4 (d) 3
  28. 28.If 2x − 7 = 11, what is x? (a) 9 (b) 2 (c) 10 (d) 18
  29. 29.If 6x + 4 = 16, what is x? (a) 3 (b) 12 (c) 1 (d) 2
  30. 30.If 8x − 64 = 56, what is x? (a) 15 (b) 120 (c) 16 (d) 14
  31. 31.If x/3 + 3 = 13, what is x? (a) 36 (b) 48 (c) 30 (d) 10
  32. 32.If x/5 + 13 = 21, what is x? (a) 40 (b) 92 (c) 8 (d) 170
  33. 33.If x/6 + 8 = 11, what is x? (a) 114 (b) 58 (c) 18 (d) 3
  34. 34.If 9x + 28 = 163, what is x? (a) 135 (b) 14 (c) 16 (d) 15
  35. 35.If 3x + 5 = 17, what is x? (a) 4 (b) 5 (c) 3 (d) 12
  36. 36.If 8x + 8 = 24, what is x? (a) 16 (b) 2 (c) 3 (d) 4
  37. 37.If 7x − 6 = 43, what is x? (a) 49 (b) 7 (c) 8 (d) 6
  38. 38.If x/5 + 11 = 21, what is x? (a) 10 (b) 94 (c) 160 (d) 50
  39. 39.If 9x − 17 = 55, what is x? (a) 72 (b) 8 (c) 7 (d) 9
  40. 40.If x/4 + 10 = 15, what is x? (a) 20 (b) 100 (c) 50 (d) 5

Answer key

  1. 15
  2. 12
  3. 11
  4. 6
  5. 12
  6. 13
  7. 7
  8. 8
  9. 7
  10. 24
  11. 12
  12. 9
  13. 3
  14. 15
  15. 2
  16. 2
  17. 15
  18. 13
  19. 15
  20. 10
  21. 6
  22. 4
  23. 6
  24. 36
  25. 5
  26. 54
  27. 3
  28. 9
  29. 2
  30. 15
  31. 30
  32. 40
  33. 18
  34. 15
  35. 4
  36. 2
  37. 7
  38. 50
  39. 8
  40. 20

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