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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 433 · 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 9x − 11 = 52, what is x? (a) 8 (b) 63 (c) 7 (d) 6
  2. 2.If x/4 + 11 = 15, what is x? (a) 104 (b) 16 (c) 4 (d) 49
  3. 3.If 5x − 17 = 18, what is x? (a) 6 (b) 35 (c) 7 (d) 8
  4. 4.If 6x − 8 = 52, what is x? (a) 10 (b) 60 (c) 9 (d) 11
  5. 5.If 8x − 21 = 19, what is x? (a) 4 (b) 5 (c) 6 (d) 40
  6. 6.If 3x + 25 = 46, what is x? (a) 6 (b) 21 (c) 7 (d) 8
  7. 7.If 8x − 48 = 72, what is x? (a) 120 (b) 15 (c) 3 (d) 16
  8. 8.If 3x − 32 = 4, what is x? (a) 13 (b) 11 (c) 36 (d) 12
  9. 9.If 2x − 4 = 12, what is x? (a) 4 (b) 9 (c) 16 (d) 8
  10. 10.If 5x − 35 = 30, what is x? (a) 14 (b) 65 (c) 12 (d) 13
  11. 11.If 2x − 4 = 26, what is x? (a) 30 (b) 15 (c) 11 (d) 16
  12. 12.If 8x − 94 = 10, what is x? (a) 12 (b) 14 (c) 13 (d) 104
  13. 13.If 3x + 17 = x + 35, what is x? (a) 26 (b) 10 (c) 11 (d) 9
  14. 14.If x/5 + 11 = 16, what is x? (a) 25 (b) 135 (c) 69 (d) 5
  15. 15.If 4x + 10 = 70, what is x? (a) 60 (b) 16 (c) 15 (d) 20
  16. 16.If 6x + 1 = 5x + 8, what is x? (a) 6 (b) 8 (c) 7 (d) 9
  17. 17.If 8x + 17 = 113, what is x? (a) 12 (b) 13 (c) 11 (d) 96
  18. 18.If 4x − 5 = 11, what is x? (a) 4 (b) 5 (c) 16 (d) 3
  19. 19.If 3x + 3 = x + 15, what is x? (a) 6 (b) 7 (c) 9 (d) 3
  20. 20.If x/3 + 3 = 6, what is x? (a) 27 (b) 15 (c) 9 (d) 3
  21. 21.If 6x + 14 = x + 59, what is x? (a) 10 (b) 11 (c) 9 (d) 8
  22. 22.If 3x − 1 = 8, what is x? (a) 9 (b) 4 (c) 3 (d) 2
  23. 23.If x/6 + 11 = 19, what is x? (a) 180 (b) 48 (c) 103 (d) 8
  24. 24.If 6x − 5 = 13, what is x? (a) 3 (b) 18 (c) 4 (d) 2
  25. 25.If x/5 + 2 = 14, what is x? (a) 68 (b) 80 (c) 60 (d) 12
  26. 26.If 3x − 1 = 14, what is x? (a) 6 (b) 4 (c) 5 (d) 15
  27. 27.If 6x + 4 = 4x + 10, what is x? (a) 4 (b) 3 (c) 5 (d) 7
  28. 28.If 6x − 33 = 57, what is x? (a) 16 (b) 15 (c) 4 (d) 90
  29. 29.If x/5 + 15 = 26, what is x? (a) 115 (b) 55 (c) 11 (d) 205
  30. 30.If x/2 + 15 = 24, what is x? (a) 78 (b) 9 (c) 33 (d) 18
  31. 31.If 8x + 4 = 36, what is x? (a) 5 (b) 4 (c) 3 (d) 32
  32. 32.If x/5 + 3 = 11, what is x? (a) 52 (b) 8 (c) 40 (d) 70
  33. 33.If x/2 + 5 = 11, what is x? (a) 17 (b) 12 (c) 6 (d) 32
  34. 34.If x/6 + 13 = 16, what is x? (a) 174 (b) 83 (c) 3 (d) 18
  35. 35.If 3x − 5 = 1, what is x? (a) 2 (b) 3 (c) 6 (d) 1
  36. 36.If 2x + 8 = 34, what is x? (a) 21 (b) 14 (c) 13 (d) 26
  37. 37.If 9x + 4 = 112, what is x? (a) 11 (b) 108 (c) 13 (d) 12
  38. 38.If x/2 + 6 = 10, what is x? (a) 14 (b) 4 (c) 8 (d) 32
  39. 39.If 8x + 5 = x + 12, what is x? (a) 1 (b) 2 (c) 3 (d) 4
  40. 40.If 2x − 2 = 8, what is x? (a) 3 (b) 10 (c) 6 (d) 5

Answer key

  1. 7
  2. 16
  3. 7
  4. 10
  5. 5
  6. 7
  7. 15
  8. 12
  9. 8
  10. 13
  11. 15
  12. 13
  13. 9
  14. 25
  15. 15
  16. 7
  17. 12
  18. 4
  19. 6
  20. 9
  21. 9
  22. 3
  23. 48
  24. 3
  25. 60
  26. 5
  27. 3
  28. 15
  29. 55
  30. 18
  31. 4
  32. 40
  33. 12
  34. 18
  35. 2
  36. 13
  37. 12
  38. 8
  39. 1
  40. 5

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