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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 311 · 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 − 33 = 27, what is x? (a) 10 (b) 11 (c) 9 (d) 60
  2. 2.If 3x + 14 = x + 34, what is x? (a) 24 (b) 10 (c) 5 (d) 11
  3. 3.If x/6 + 11 = 14, what is x? (a) 73 (b) 18 (c) 3 (d) 150
  4. 4.If 4x − 11 = 5, what is x? (a) 5 (b) 3 (c) 4 (d) 16
  5. 5.If 2x − 6 = 10, what is x? (a) 8 (b) 9 (c) 16 (d) 2
  6. 6.If x/3 + 12 = 17, what is x? (a) 5 (b) 39 (c) 87 (d) 15
  7. 7.If 4x + 17 = x + 20, what is x? (a) 3 (b) 2 (c) 4 (d) 1
  8. 8.If 3x − 4 = 20, what is x? (a) 7 (b) 9 (c) 24 (d) 8
  9. 9.If 6x − 19 = 5, what is x? (a) 5 (b) 3 (c) 4 (d) 24
  10. 10.If 5x + 15 = 2x + 42, what is x? (a) 10 (b) 9 (c) 19 (d) 11
  11. 11.If 3x + 11 = x + 15, what is x? (a) 1 (b) 13 (c) 3 (d) 2
  12. 12.If x/3 + 13 = 21, what is x? (a) 50 (b) 8 (c) 102 (d) 24
  13. 13.If x/2 + 7 = 12, what is x? (a) 17 (b) 38 (c) 10 (d) 5
  14. 14.If 3x + 18 = 51, what is x? (a) 33 (b) 11 (c) 12 (d) 23
  15. 15.If 6x + 6 = 4x + 20, what is x? (a) 9 (b) 13 (c) 7 (d) 8
  16. 16.If x/5 + 15 = 20, what is x? (a) 5 (b) 85 (c) 25 (d) 175
  17. 17.If 3x + 14 = 44, what is x? (a) 11 (b) 30 (c) 10 (d) 9
  18. 18.If 9x + 9 = 27, what is x? (a) 4 (b) 3 (c) 2 (d) 18
  19. 19.If 8x + 22 = 54, what is x? (a) 4 (b) 3 (c) 5 (d) 32
  20. 20.If 6x − 60 = 24, what is x? (a) 13 (b) 15 (c) 84 (d) 14
  21. 21.If 5x + 10 = 65, what is x? (a) 15 (b) 11 (c) 55 (d) 12
  22. 22.If 3x − 24 = 15, what is x? (a) 13 (b) 14 (c) 39 (d) 12
  23. 23.If 5x + 15 = 50, what is x? (a) 7 (b) 35 (c) 13 (d) 8
  24. 24.If 6x + 18 = 3x + 30, what is x? (a) 4 (b) 6 (c) 5 (d) 16
  25. 25.If x/6 + 9 = 15, what is x? (a) 81 (b) 36 (c) 144 (d) 6
  26. 26.If 8x − 26 = 94, what is x? (a) 15 (b) 16 (c) 14 (d) 120
  27. 27.If 8x + 11 = 51, what is x? (a) 6 (b) 40 (c) 4 (d) 5
  28. 28.If 2x − 4 = 22, what is x? (a) 9 (b) 14 (c) 26 (d) 13
  29. 29.If 4x + 9 = x + 21, what is x? (a) 6 (b) 10 (c) 5 (d) 4
  30. 30.If 8x − 28 = 44, what is x? (a) 2 (b) 9 (c) 10 (d) 72
  31. 31.If x/5 + 12 = 19, what is x? (a) 7 (b) 83 (c) 155 (d) 35
  32. 32.If 4x + 17 = 2x + 23, what is x? (a) 1 (b) 20 (c) 3 (d) 4
  33. 33.If 2x + 3 = 23, what is x? (a) 11 (b) 13 (c) 10 (d) 20
  34. 34.If x/5 + 10 = 17, what is x? (a) 7 (b) 135 (c) 75 (d) 35
  35. 35.If 4x + 20 = x + 26, what is x? (a) 1 (b) 3 (c) 2 (d) 4
  36. 36.If 5x + 4 = 2x + 37, what is x? (a) 12 (b) 10 (c) 13 (d) 11
  37. 37.If x/4 + 10 = 14, what is x? (a) 16 (b) 46 (c) 4 (d) 96
  38. 38.If 9x − 27 = 54, what is x? (a) 81 (b) 9 (c) 10 (d) 3
  39. 39.If 8x − 8 = 56, what is x? (a) 9 (b) 6 (c) 8 (d) 64
  40. 40.If 4x + 12 = x + 27, what is x? (a) 3 (b) 6 (c) 5 (d) 13

Answer key

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

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