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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 425 · 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 − 12 = 18, what is x? (a) 7 (b) 5 (c) 6 (d) 30
  2. 2.If x/2 + 4 = 8, what is x? (a) 4 (b) 8 (c) 24 (d) 12
  3. 3.If 2x − 18 = 4, what is x? (a) 22 (b) 12 (c) 11 (d) 10
  4. 4.If 6x + 21 = 33, what is x? (a) 2 (b) 12 (c) 3 (d) 9
  5. 5.If 7x + 10 = 3x + 14, what is x? (a) 3 (b) 2 (c) 6 (d) 1
  6. 6.If x/6 + 12 = 22, what is x? (a) 10 (b) 60 (c) 120 (d) 204
  7. 7.If 2x + 24 = 54, what is x? (a) 16 (b) 39 (c) 30 (d) 15
  8. 8.If x/2 + 4 = 6, what is x? (a) 8 (b) 4 (c) 20 (d) 2
  9. 9.If 4x + 8 = x + 20, what is x? (a) 3 (b) 5 (c) 4 (d) 6
  10. 10.If 7x − 1 = 69, what is x? (a) 11 (b) 9 (c) 70 (d) 10
  11. 11.If x/2 + 9 = 15, what is x? (a) 48 (b) 6 (c) 12 (d) 21
  12. 12.If 9x + 6 = 123, what is x? (a) 14 (b) 13 (c) 12 (d) 117
  13. 13.If 6x + 25 = 103, what is x? (a) 14 (b) 12 (c) 78 (d) 13
  14. 14.If 6x + 16 = 88, what is x? (a) 72 (b) 13 (c) 11 (d) 12
  15. 15.If 7x − 62 = 29, what is x? (a) 13 (b) 12 (c) 91 (d) 14
  16. 16.If x/3 + 10 = 22, what is x? (a) 12 (b) 36 (c) 96 (d) 56
  17. 17.If 5x + 13 = 2x + 46, what is x? (a) 12 (b) 13 (c) 11 (d) 10
  18. 18.If 4x + 6 = 3x + 14, what is x? (a) 8 (b) 10 (c) 9 (d) 20
  19. 19.If 3x + 24 = 48, what is x? (a) 8 (b) 9 (c) 7 (d) 24
  20. 20.If x/2 + 2 = 8, what is x? (a) 20 (b) 12 (c) 14 (d) 6
  21. 21.If 6x + 28 = 52, what is x? (a) 5 (b) 4 (c) 3 (d) 24
  22. 22.If 3x + 18 = 30, what is x? (a) 5 (b) 12 (c) 16 (d) 4
  23. 23.If x/6 + 9 = 18, what is x? (a) 99 (b) 9 (c) 162 (d) 54
  24. 24.If 6x − 1 = 11, what is x? (a) 12 (b) 3 (c) 1 (d) 2
  25. 25.If x/5 + 7 = 9, what is x? (a) 10 (b) 2 (c) 80 (d) 38
  26. 26.If 5x + 4 = 4x + 12, what is x? (a) 16 (b) 9 (c) 10 (d) 8
  27. 27.If 4x + 12 = 24, what is x? (a) 12 (b) 9 (c) 3 (d) 4
  28. 28.If x/4 + 1 = 12, what is x? (a) 52 (b) 47 (c) 11 (d) 44
  29. 29.If 9x + 17 = 134, what is x? (a) 14 (b) 13 (c) 117 (d) 12
  30. 30.If x/5 + 12 = 20, what is x? (a) 8 (b) 88 (c) 160 (d) 40
  31. 31.If x/2 + 9 = 13, what is x? (a) 4 (b) 8 (c) 44 (d) 17
  32. 32.If 2x + 16 = 30, what is x? (a) 8 (b) 7 (c) 23 (d) 14
  33. 33.If 2x + 10 = 26, what is x? (a) 16 (b) 8 (c) 9 (d) 18
  34. 34.If x/3 + 13 = 22, what is x? (a) 9 (b) 53 (c) 27 (d) 105
  35. 35.If 3x − 6 = 3, what is x? (a) 4 (b) 2 (c) 3 (d) 9
  36. 36.If 3x + 18 = x + 26, what is x? (a) 4 (b) 22 (c) 2 (d) 5
  37. 37.If 4x + 9 = 3x + 15, what is x? (a) 6 (b) 8 (c) 24 (d) 7
  38. 38.If 2x − 13 = 13, what is x? (a) 12 (b) 26 (c) 13 (d) 14
  39. 39.If x/5 + 3 = 11, what is x? (a) 8 (b) 70 (c) 52 (d) 40
  40. 40.If 3x − 16 = 2, what is x? (a) 18 (b) 5 (c) 7 (d) 6

Answer key

  1. 6
  2. 8
  3. 11
  4. 2
  5. 1
  6. 60
  7. 15
  8. 4
  9. 4
  10. 10
  11. 12
  12. 13
  13. 13
  14. 12
  15. 13
  16. 36
  17. 11
  18. 8
  19. 8
  20. 12
  21. 4
  22. 4
  23. 54
  24. 2
  25. 10
  26. 8
  27. 3
  28. 44
  29. 13
  30. 40
  31. 8
  32. 7
  33. 8
  34. 27
  35. 3
  36. 4
  37. 6
  38. 13
  39. 40
  40. 6

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