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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 560 · 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 6x − 70 = 8, what is x? (a) 14 (b) 13 (c) 78 (d) 12
  2. 2.If x/4 + 15 = 24, what is x? (a) 9 (b) 81 (c) 156 (d) 36
  3. 3.If 7x − 4 = 87, what is x? (a) 91 (b) 13 (c) 14 (d) 12
  4. 4.If 5x + 11 = 51, what is x? (a) 40 (b) 8 (c) 9 (d) 7
  5. 5.If 4x + 13 = 29, what is x? (a) 16 (b) 5 (c) 3 (d) 4
  6. 6.If x/6 + 3 = 11, what is x? (a) 48 (b) 8 (c) 63 (d) 84
  7. 7.If 8x + 2 = 3x + 12, what is x? (a) 4 (b) 1 (c) 2 (d) 3
  8. 8.If 7x + 1 = 106, what is x? (a) 16 (b) 14 (c) 15 (d) 105
  9. 9.If x/2 + 13 = 18, what is x? (a) 62 (b) 10 (c) 5 (d) 23
  10. 10.If 7x − 23 = 12, what is x? (a) 4 (b) 6 (c) 35 (d) 5
  11. 11.If 7x − 15 = 34, what is x? (a) 8 (b) 6 (c) 7 (d) 49
  12. 12.If 5x − 5 = 10, what is x? (a) 15 (b) 3 (c) 1 (d) 4
  13. 13.If 7x + 16 = 5x + 32, what is x? (a) 24 (b) 9 (c) 8 (d) 10
  14. 14.If 5x − 6 = 4, what is x? (a) 10 (b) 2 (c) 3 (d) 1
  15. 15.If 9x − 9 = 99, what is x? (a) 12 (b) 108 (c) 13 (d) 10
  16. 16.If x/2 + 6 = 8, what is x? (a) 10 (b) 2 (c) 4 (d) 28
  17. 17.If 9x − 3 = 33, what is x? (a) 36 (b) 4 (c) 5 (d) 3
  18. 18.If x/3 + 3 = 5, what is x? (a) 12 (b) 24 (c) 2 (d) 6
  19. 19.If 8x + 6 = 5x + 30, what is x? (a) 8 (b) 10 (c) 9 (d) 12
  20. 20.If 9x + 20 = 3x + 44, what is x? (a) 5 (b) 2 (c) 4 (d) 6
  21. 21.If 5x + 3 = 18, what is x? (a) 4 (b) 15 (c) 2 (d) 3
  22. 22.If 8x + 10 = 3x + 30, what is x? (a) 6 (b) 4 (c) 5 (d) 8
  23. 23.If 9x + 15 = 3x + 57, what is x? (a) 8 (b) 9 (c) 12 (d) 7
  24. 24.If x/3 + 11 = 21, what is x? (a) 10 (b) 96 (c) 30 (d) 52
  25. 25.If 9x − 43 = 47, what is x? (a) 9 (b) 90 (c) 10 (d) 11
  26. 26.If x/5 + 5 = 9, what is x? (a) 70 (b) 4 (c) 40 (d) 20
  27. 27.If 7x + 28 = 63, what is x? (a) 13 (b) 5 (c) 6 (d) 35
  28. 28.If 2x + 14 = 38, what is x? (a) 24 (b) 26 (c) 13 (d) 12
  29. 29.If x/5 + 13 = 25, what is x? (a) 12 (b) 112 (c) 190 (d) 60
  30. 30.If 5x + 8 = 3x + 20, what is x? (a) 14 (b) 6 (c) 8 (d) 7
  31. 31.If 6x + 7 = 2x + 51, what is x? (a) 13 (b) 12 (c) 11 (d) 10
  32. 32.If 4x − 15 = 9, what is x? (a) 7 (b) 6 (c) 24 (d) 5
  33. 33.If x/4 + 3 = 13, what is x? (a) 49 (b) 10 (c) 40 (d) 64
  34. 34.If 6x − 35 = 13, what is x? (a) 8 (b) 9 (c) 48 (d) 7
  35. 35.If 8x − 14 = 42, what is x? (a) 6 (b) 8 (c) 7 (d) 56
  36. 36.If 7x + 2 = 23, what is x? (a) 3 (b) 2 (c) 4 (d) 21
  37. 37.If 7x + 12 = x + 42, what is x? (a) 7 (b) 9 (c) 6 (d) 5
  38. 38.If x/3 + 7 = 16, what is x? (a) 9 (b) 27 (c) 69 (d) 41
  39. 39.If x/2 + 12 = 20, what is x? (a) 8 (b) 16 (c) 28 (d) 64
  40. 40.If 9x + 13 = x + 109, what is x? (a) 14 (b) 13 (c) 12 (d) 11

Answer key

  1. 13
  2. 36
  3. 13
  4. 8
  5. 4
  6. 48
  7. 2
  8. 15
  9. 10
  10. 5
  11. 7
  12. 3
  13. 8
  14. 2
  15. 12
  16. 4
  17. 4
  18. 6
  19. 8
  20. 4
  21. 3
  22. 4
  23. 7
  24. 30
  25. 10
  26. 20
  27. 5
  28. 12
  29. 60
  30. 6
  31. 11
  32. 6
  33. 40
  34. 8
  35. 7
  36. 3
  37. 5
  38. 27
  39. 16
  40. 12

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