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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 144 · 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 4x + 7 = x + 22, what is x? (a) 6 (b) 3 (c) 7 (d) 5
  2. 2.If 4x + 28 = 36, what is x? (a) 8 (b) 16 (c) 2 (d) 3
  3. 3.If x/3 + 2 = 12, what is x? (a) 42 (b) 34 (c) 10 (d) 30
  4. 4.If 5x + 4 = 2x + 28, what is x? (a) 7 (b) 9 (c) 10 (d) 8
  5. 5.If 7x + 2 = 51, what is x? (a) 8 (b) 6 (c) 7 (d) 49
  6. 6.If 9x + 4 = 4x + 19, what is x? (a) 4 (b) 3 (c) 5 (d) 2
  7. 7.If x/5 + 3 = 15, what is x? (a) 72 (b) 12 (c) 60 (d) 90
  8. 8.If 2x − 7 = 1, what is x? (a) 8 (b) 5 (c) 3 (d) 4
  9. 9.If 3x + 20 = 53, what is x? (a) 11 (b) 12 (c) 10 (d) 33
  10. 10.If 5x − 9 = 1, what is x? (a) 3 (b) 10 (c) 2 (d) 1
  11. 11.If 5x + 10 = 60, what is x? (a) 10 (b) 11 (c) 50 (d) 14
  12. 12.If 3x − 7 = 38, what is x? (a) 45 (b) 16 (c) 14 (d) 15
  13. 13.If 9x + 19 = 2x + 61, what is x? (a) 7 (b) 6 (c) 5 (d) 8
  14. 14.If 3x + 2 = 32, what is x? (a) 30 (b) 10 (c) 9 (d) 11
  15. 15.If 4x + 15 = 63, what is x? (a) 48 (b) 13 (c) 12 (d) 11
  16. 16.If x/2 + 10 = 13, what is x? (a) 6 (b) 3 (c) 16 (d) 46
  17. 17.If 2x + 14 = 30, what is x? (a) 22 (b) 16 (c) 9 (d) 8
  18. 18.If 4x + 6 = 26, what is x? (a) 6 (b) 5 (c) 20 (d) 8
  19. 19.If 7x + 7 = 63, what is x? (a) 9 (b) 56 (c) 10 (d) 8
  20. 20.If x/4 + 5 = 8, what is x? (a) 52 (b) 3 (c) 12 (d) 27
  21. 21.If 7x − 28 = 56, what is x? (a) 84 (b) 4 (c) 13 (d) 12
  22. 22.If x/5 + 5 = 17, what is x? (a) 60 (b) 110 (c) 12 (d) 80
  23. 23.If 4x + 29 = 37, what is x? (a) 3 (b) 1 (c) 2 (d) 8
  24. 24.If 6x − 4 = 20, what is x? (a) 24 (b) 3 (c) 4 (d) 5
  25. 25.If x/3 + 7 = 17, what is x? (a) 30 (b) 10 (c) 44 (d) 72
  26. 26.If 4x + 13 = 3x + 25, what is x? (a) 14 (b) 38 (c) 12 (d) 13
  27. 27.If 9x + 16 = 133, what is x? (a) 14 (b) 117 (c) 12 (d) 13
  28. 28.If x/5 + 15 = 18, what is x? (a) 15 (b) 3 (c) 165 (d) 75
  29. 29.If x/2 + 14 = 25, what is x? (a) 36 (b) 22 (c) 11 (d) 78
  30. 30.If 4x + 7 = x + 25, what is x? (a) 8 (b) 5 (c) 6 (d) 7
  31. 31.If 9x + 19 = 127, what is x? (a) 11 (b) 12 (c) 108 (d) 13
  32. 32.If x/3 + 15 = 24, what is x? (a) 9 (b) 27 (c) 117 (d) 57
  33. 33.If 4x + 16 = x + 22, what is x? (a) 3 (b) 2 (c) 1 (d) 4
  34. 34.If 7x + 6 = 34, what is x? (a) 3 (b) 5 (c) 4 (d) 28
  35. 35.If 8x − 15 = 9, what is x? (a) 24 (b) 3 (c) 4 (d) 2
  36. 36.If 8x + 10 = 50, what is x? (a) 5 (b) 4 (c) 40 (d) 6
  37. 37.If 3x + 5 = x + 15, what is x? (a) 6 (b) 7 (c) 10 (d) 5
  38. 38.If 4x + 18 = x + 30, what is x? (a) 6 (b) 4 (c) 16 (d) 5
  39. 39.If x/5 + 5 = 8, what is x? (a) 15 (b) 35 (c) 3 (d) 65
  40. 40.If x/3 + 2 = 14, what is x? (a) 40 (b) 36 (c) 12 (d) 48

Answer key

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

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