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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 80 · 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 3x + 9 = 36, what is x? (a) 9 (b) 10 (c) 27 (d) 15
  2. 2.If 8x + 25 = 113, what is x? (a) 12 (b) 11 (c) 88 (d) 10
  3. 3.If x/5 + 4 = 10, what is x? (a) 46 (b) 70 (c) 6 (d) 30
  4. 4.If x/3 + 15 = 25, what is x? (a) 120 (b) 60 (c) 30 (d) 10
  5. 5.If 5x + 11 = 4x + 19, what is x? (a) 9 (b) 30 (c) 8 (d) 10
  6. 6.If x/6 + 13 = 25, what is x? (a) 228 (b) 72 (c) 137 (d) 12
  7. 7.If x/4 + 1 = 4, what is x? (a) 12 (b) 15 (c) 20 (d) 3
  8. 8.If 5x − 6 = 14, what is x? (a) 20 (b) 5 (c) 3 (d) 4
  9. 9.If 4x − 5 = 23, what is x? (a) 8 (b) 28 (c) 7 (d) 6
  10. 10.If 7x + 20 = 5x + 36, what is x? (a) 10 (b) 28 (c) 8 (d) 9
  11. 11.If 7x + 29 = 43, what is x? (a) 14 (b) 3 (c) 1 (d) 2
  12. 12.If 6x + 5 = 2x + 17, what is x? (a) 5 (b) 4 (c) 3 (d) 2
  13. 13.If 9x − 65 = 34, what is x? (a) 99 (b) 12 (c) 10 (d) 11
  14. 14.If 2x + 5 = 15, what is x? (a) 6 (b) 4 (c) 5 (d) 10
  15. 15.If x/2 + 11 = 20, what is x? (a) 29 (b) 9 (c) 18 (d) 62
  16. 16.If 8x + 16 = 6x + 18, what is x? (a) 1 (b) 3 (c) 17 (d) 2
  17. 17.If 8x + 11 = 99, what is x? (a) 12 (b) 11 (c) 88 (d) 10
  18. 18.If 3x + 4 = 13, what is x? (a) 2 (b) 4 (c) 9 (d) 3
  19. 19.If x/3 + 12 = 23, what is x? (a) 33 (b) 11 (c) 57 (d) 105
  20. 20.If x/6 + 13 = 22, what is x? (a) 210 (b) 119 (c) 54 (d) 9
  21. 21.If 4x − 2 = 50, what is x? (a) 52 (b) 14 (c) 12 (d) 13
  22. 22.If x/5 + 6 = 9, what is x? (a) 3 (b) 15 (c) 39 (d) 75
  23. 23.If x/3 + 7 = 13, what is x? (a) 60 (b) 18 (c) 6 (d) 32
  24. 24.If 5x + 16 = x + 48, what is x? (a) 9 (b) 8 (c) 16 (d) 10
  25. 25.If 3x + 14 = 59, what is x? (a) 45 (b) 15 (c) 16 (d) 14
  26. 26.If x/6 + 8 = 10, what is x? (a) 108 (b) 2 (c) 52 (d) 12
  27. 27.If x/6 + 12 = 22, what is x? (a) 60 (b) 120 (c) 204 (d) 10
  28. 28.If 6x + 21 = 69, what is x? (a) 15 (b) 48 (c) 8 (d) 9
  29. 29.If 7x + 8 = 4x + 23, what is x? (a) 4 (b) 5 (c) 7 (d) 6
  30. 30.If 4x − 15 = 17, what is x? (a) 8 (b) 7 (c) 32 (d) 9
  31. 31.If 4x + 19 = x + 34, what is x? (a) 3 (b) 6 (c) 7 (d) 5
  32. 32.If x/3 + 2 = 13, what is x? (a) 37 (b) 45 (c) 11 (d) 33
  33. 33.If 4x + 10 = 22, what is x? (a) 12 (b) 8 (c) 4 (d) 3
  34. 34.If 7x − 24 = 25, what is x? (a) 8 (b) 49 (c) 7 (d) 6
  35. 35.If 7x + 2 = 6x + 5, what is x? (a) 3 (b) 5 (c) 4 (d) 7
  36. 36.If 5x − 16 = 59, what is x? (a) 16 (b) 15 (c) 14 (d) 75
  37. 37.If 8x + 27 = 43, what is x? (a) 1 (b) 2 (c) 16 (d) 3
  38. 38.If 3x + 3 = x + 5, what is x? (a) 3 (b) 1 (c) 4 (d) 2
  39. 39.If 6x + 2 = 20, what is x? (a) 3 (b) 4 (c) 18 (d) 2
  40. 40.If x/2 + 5 = 15, what is x? (a) 10 (b) 20 (c) 25 (d) 40

Answer key

  1. 9
  2. 11
  3. 30
  4. 30
  5. 8
  6. 72
  7. 12
  8. 4
  9. 7
  10. 8
  11. 2
  12. 3
  13. 11
  14. 5
  15. 18
  16. 1
  17. 11
  18. 3
  19. 33
  20. 54
  21. 13
  22. 15
  23. 18
  24. 8
  25. 15
  26. 12
  27. 60
  28. 8
  29. 5
  30. 8
  31. 5
  32. 33
  33. 3
  34. 7
  35. 3
  36. 15
  37. 2
  38. 1
  39. 3
  40. 20

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