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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 469 · 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 + 20 = 3x + 24, what is x? (a) 3 (b) 2 (c) 22 (d) 4
  2. 2.If 8x + 11 = 4x + 19, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  3. 3.If 8x + 21 = 141, what is x? (a) 16 (b) 120 (c) 14 (d) 15
  4. 4.If 2x − 9 = 3, what is x? (a) 5 (b) 7 (c) 12 (d) 6
  5. 5.If x/6 + 6 = 16, what is x? (a) 90 (b) 10 (c) 60 (d) 132
  6. 6.If 4x + 17 = 73, what is x? (a) 15 (b) 56 (c) 14 (d) 13
  7. 7.If x/3 + 9 = 16, what is x? (a) 75 (b) 7 (c) 39 (d) 21
  8. 8.If 4x + 21 = 81, what is x? (a) 16 (b) 15 (c) 60 (d) 14
  9. 9.If 2x + 10 = 28, what is x? (a) 9 (b) 19 (c) 18 (d) 10
  10. 10.If 3x + 1 = 40, what is x? (a) 39 (b) 13 (c) 12 (d) 14
  11. 11.If 6x + 19 = 103, what is x? (a) 84 (b) 15 (c) 14 (d) 13
  12. 12.If 8x + 7 = 6x + 29, what is x? (a) 12 (b) 18 (c) 13 (d) 11
  13. 13.If 9x + 17 = 2x + 101, what is x? (a) 13 (b) 12 (c) 11 (d) 14
  14. 14.If x/2 + 12 = 22, what is x? (a) 32 (b) 10 (c) 68 (d) 20
  15. 15.If 3x − 4 = 26, what is x? (a) 11 (b) 9 (c) 30 (d) 10
  16. 16.If x/5 + 15 = 21, what is x? (a) 90 (b) 180 (c) 6 (d) 30
  17. 17.If x/6 + 12 = 21, what is x? (a) 54 (b) 198 (c) 9 (d) 114
  18. 18.If x/2 + 2 = 11, what is x? (a) 26 (b) 9 (c) 18 (d) 20
  19. 19.If 5x + 2 = 77, what is x? (a) 16 (b) 14 (c) 75 (d) 15
  20. 20.If 3x − 4 = 11, what is x? (a) 6 (b) 4 (c) 15 (d) 5
  21. 21.If x/3 + 5 = 14, what is x? (a) 27 (b) 37 (c) 9 (d) 57
  22. 22.If x/2 + 11 = 18, what is x? (a) 58 (b) 14 (c) 7 (d) 25
  23. 23.If x/2 + 11 = 22, what is x? (a) 11 (b) 66 (c) 22 (d) 33
  24. 24.If 8x − 74 = 46, what is x? (a) 120 (b) 15 (c) 14 (d) 16
  25. 25.If 3x + 16 = 61, what is x? (a) 45 (b) 14 (c) 16 (d) 15
  26. 26.If 2x − 24 = 6, what is x? (a) 15 (b) 16 (c) 14 (d) 30
  27. 27.If x/5 + 9 = 16, what is x? (a) 71 (b) 7 (c) 35 (d) 125
  28. 28.If 6x + 4 = x + 19, what is x? (a) 3 (b) 2 (c) 5 (d) 4
  29. 29.If x/4 + 2 = 8, what is x? (a) 40 (b) 30 (c) 24 (d) 6
  30. 30.If 6x + 8 = 2x + 28, what is x? (a) 9 (b) 7 (c) 5 (d) 6
  31. 31.If 9x + 18 = 2x + 46, what is x? (a) 5 (b) 4 (c) 6 (d) 3
  32. 32.If x/6 + 2 = 12, what is x? (a) 84 (b) 10 (c) 70 (d) 60
  33. 33.If x/4 + 10 = 22, what is x? (a) 48 (b) 128 (c) 78 (d) 12
  34. 34.If 4x + 27 = 55, what is x? (a) 7 (b) 6 (c) 28 (d) 8
  35. 35.If 2x + 11 = 35, what is x? (a) 23 (b) 13 (c) 12 (d) 24
  36. 36.If 2x − 7 = 7, what is x? (a) 8 (b) 6 (c) 14 (d) 7
  37. 37.If 9x − 12 = 33, what is x? (a) 4 (b) 45 (c) 6 (d) 5
  38. 38.If 3x − 9 = 3, what is x? (a) 3 (b) 5 (c) 4 (d) 12
  39. 39.If 5x + 5 = 30, what is x? (a) 6 (b) 25 (c) 7 (d) 5
  40. 40.If 3x + 1 = x + 25, what is x? (a) 12 (b) 6 (c) 13 (d) 14

Answer key

  1. 2
  2. 2
  3. 15
  4. 6
  5. 60
  6. 14
  7. 21
  8. 15
  9. 9
  10. 13
  11. 14
  12. 11
  13. 12
  14. 20
  15. 10
  16. 30
  17. 54
  18. 18
  19. 15
  20. 5
  21. 27
  22. 14
  23. 22
  24. 15
  25. 15
  26. 15
  27. 35
  28. 3
  29. 24
  30. 5
  31. 4
  32. 60
  33. 48
  34. 7
  35. 12
  36. 7
  37. 5
  38. 4
  39. 5
  40. 12

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