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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 449 · 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 8x + 10 = x + 73, what is x? (a) 10 (b) 9 (c) 11 (d) 7
  2. 2.If x/3 + 15 = 17, what is x? (a) 2 (b) 36 (c) 6 (d) 96
  3. 3.If 3x + 8 = 50, what is x? (a) 13 (b) 15 (c) 42 (d) 14
  4. 4.If x/5 + 13 = 17, what is x? (a) 4 (b) 150 (c) 20 (d) 72
  5. 5.If 7x + 30 = 100, what is x? (a) 9 (b) 11 (c) 10 (d) 70
  6. 6.If 8x − 57 = 7, what is x? (a) 9 (b) 64 (c) 7 (d) 8
  7. 7.If 7x + 23 = 93, what is x? (a) 70 (b) 11 (c) 10 (d) 9
  8. 8.If x/2 + 10 = 13, what is x? (a) 16 (b) 6 (c) 3 (d) 46
  9. 9.If 8x − 4 = 28, what is x? (a) 32 (b) 4 (c) 3 (d) 5
  10. 10.If 9x − 11 = 25, what is x? (a) 5 (b) 36 (c) 4 (d) 3
  11. 11.If 8x + 11 = x + 60, what is x? (a) 6 (b) 9 (c) 7 (d) 8
  12. 12.If 2x + 30 = 46, what is x? (a) 9 (b) 16 (c) 38 (d) 8
  13. 13.If 5x − 13 = 42, what is x? (a) 12 (b) 55 (c) 10 (d) 11
  14. 14.If x/3 + 14 = 21, what is x? (a) 105 (b) 49 (c) 7 (d) 21
  15. 15.If x/5 + 11 = 20, what is x? (a) 155 (b) 89 (c) 45 (d) 9
  16. 16.If 8x − 95 = 9, what is x? (a) 14 (b) 13 (c) 12 (d) 104
  17. 17.If 6x + 30 = 120, what is x? (a) 90 (b) 16 (c) 15 (d) 25
  18. 18.If 3x + 4 = 2x + 6, what is x? (a) 4 (b) 2 (c) 3 (d) 10
  19. 19.If x/5 + 2 = 4, what is x? (a) 30 (b) 2 (c) 10 (d) 18
  20. 20.If 7x − 12 = 2, what is x? (a) 3 (b) 14 (c) 2 (d) 1
  21. 21.If 9x − 23 = 13, what is x? (a) 4 (b) 36 (c) 5 (d) 3
  22. 22.If 7x + 20 = 6x + 23, what is x? (a) 4 (b) 43 (c) 3 (d) 5
  23. 23.If 7x + 6 = 27, what is x? (a) 2 (b) 3 (c) 21 (d) 4
  24. 24.If x/6 + 11 = 22, what is x? (a) 11 (b) 198 (c) 121 (d) 66
  25. 25.If x/6 + 1 = 4, what is x? (a) 18 (b) 3 (c) 23 (d) 30
  26. 26.If 3x + 26 = 32, what is x? (a) 6 (b) 1 (c) 2 (d) 3
  27. 27.If 9x − 88 = 47, what is x? (a) 16 (b) 14 (c) 135 (d) 15
  28. 28.If 7x − 48 = 15, what is x? (a) 8 (b) 10 (c) 9 (d) 63
  29. 29.If 3x + 16 = 25, what is x? (a) 2 (b) 4 (c) 3 (d) 9
  30. 30.If 7x + 15 = 2x + 30, what is x? (a) 4 (b) 9 (c) 3 (d) 5
  31. 31.If 3x + 19 = x + 21, what is x? (a) 3 (b) 1 (c) 2 (d) 20
  32. 32.If 6x + 18 = 4x + 28, what is x? (a) 5 (b) 6 (c) 1 (d) 23
  33. 33.If 4x + 1 = 61, what is x? (a) 16 (b) 14 (c) 15 (d) 60
  34. 34.If 6x − 1 = 17, what is x? (a) 18 (b) 2 (c) 4 (d) 3
  35. 35.If 6x − 64 = 8, what is x? (a) 12 (b) 13 (c) 72 (d) 11
  36. 36.If 6x − 1 = 23, what is x? (a) 3 (b) 5 (c) 4 (d) 24
  37. 37.If x/6 + 12 = 22, what is x? (a) 120 (b) 10 (c) 204 (d) 60
  38. 38.If 6x − 13 = 11, what is x? (a) 24 (b) 5 (c) 4 (d) 3
  39. 39.If 9x + 13 = 112, what is x? (a) 12 (b) 10 (c) 99 (d) 11
  40. 40.If x/5 + 10 = 17, what is x? (a) 135 (b) 75 (c) 35 (d) 7

Answer key

  1. 9
  2. 6
  3. 14
  4. 20
  5. 10
  6. 8
  7. 10
  8. 6
  9. 4
  10. 4
  11. 7
  12. 8
  13. 11
  14. 21
  15. 45
  16. 13
  17. 15
  18. 2
  19. 10
  20. 2
  21. 4
  22. 3
  23. 3
  24. 66
  25. 18
  26. 2
  27. 15
  28. 9
  29. 3
  30. 3
  31. 1
  32. 5
  33. 15
  34. 3
  35. 12
  36. 4
  37. 60
  38. 4
  39. 11
  40. 35

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