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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 126 · 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 = 3x + 30, what is x? (a) 21 (b) 9 (c) 10 (d) 11
  2. 2.If x/4 + 9 = 15, what is x? (a) 51 (b) 96 (c) 6 (d) 24
  3. 3.If x/4 + 13 = 15, what is x? (a) 8 (b) 2 (c) 112 (d) 47
  4. 4.If 3x + 15 = x + 25, what is x? (a) 7 (b) 5 (c) 6 (d) 20
  5. 5.If 8x − 53 = 11, what is x? (a) 8 (b) 64 (c) 9 (d) 7
  6. 6.If 8x + 13 = x + 97, what is x? (a) 13 (b) 14 (c) 11 (d) 12
  7. 7.If x/5 + 3 = 8, what is x? (a) 37 (b) 5 (c) 55 (d) 25
  8. 8.If 7x − 54 = 2, what is x? (a) 56 (b) 8 (c) 9 (d) 7
  9. 9.If 9x + 19 = 145, what is x? (a) 14 (b) 13 (c) 126 (d) 15
  10. 10.If 7x + 4 = 6x + 16, what is x? (a) 20 (b) 12 (c) 14 (d) 13
  11. 11.If 7x − 39 = 17, what is x? (a) 9 (b) 8 (c) 56 (d) 7
  12. 12.If 4x − 1 = 11, what is x? (a) 4 (b) 12 (c) 2 (d) 3
  13. 13.If x/4 + 15 = 17, what is x? (a) 128 (b) 2 (c) 8 (d) 53
  14. 14.If x/6 + 2 = 14, what is x? (a) 72 (b) 96 (c) 82 (d) 12
  15. 15.If 3x + 27 = 72, what is x? (a) 33 (b) 16 (c) 15 (d) 45
  16. 16.If x/3 + 2 = 4, what is x? (a) 6 (b) 10 (c) 2 (d) 18
  17. 17.If 9x − 9 = 45, what is x? (a) 4 (b) 6 (c) 54 (d) 7
  18. 18.If 5x + 6 = x + 10, what is x? (a) 2 (b) 4 (c) 3 (d) 1
  19. 19.If x/2 + 15 = 27, what is x? (a) 39 (b) 84 (c) 24 (d) 12
  20. 20.If 9x + 18 = 7x + 20, what is x? (a) 19 (b) 3 (c) 1 (d) 2
  21. 21.If 7x − 9 = 5, what is x? (a) 1 (b) 3 (c) 14 (d) 2
  22. 22.If x/4 + 8 = 16, what is x? (a) 8 (b) 96 (c) 32 (d) 56
  23. 23.If 2x + 23 = 51, what is x? (a) 37 (b) 28 (c) 15 (d) 14
  24. 24.If 3x + 4 = 37, what is x? (a) 10 (b) 33 (c) 11 (d) 12
  25. 25.If x/6 + 7 = 9, what is x? (a) 96 (b) 47 (c) 12 (d) 2
  26. 26.If 9x − 26 = 82, what is x? (a) 108 (b) 11 (c) 13 (d) 12
  27. 27.If 2x − 5 = 1, what is x? (a) 6 (b) 2 (c) 4 (d) 3
  28. 28.If x/2 + 3 = 12, what is x? (a) 18 (b) 21 (c) 30 (d) 9
  29. 29.If 3x + 5 = 2x + 9, what is x? (a) 14 (b) 4 (c) 5 (d) 6
  30. 30.If 9x − 92 = 43, what is x? (a) 16 (b) 14 (c) 135 (d) 15
  31. 31.If x/3 + 3 = 6, what is x? (a) 3 (b) 15 (c) 9 (d) 27
  32. 32.If x/3 + 11 = 18, what is x? (a) 87 (b) 43 (c) 21 (d) 7
  33. 33.If 6x + 22 = 64, what is x? (a) 7 (b) 42 (c) 8 (d) 6
  34. 34.If x/5 + 11 = 16, what is x? (a) 25 (b) 135 (c) 69 (d) 5
  35. 35.If 2x + 14 = 42, what is x? (a) 14 (b) 15 (c) 28 (d) 13
  36. 36.If 6x + 12 = 90, what is x? (a) 14 (b) 78 (c) 13 (d) 17
  37. 37.If 7x + 1 = 3x + 9, what is x? (a) 2 (b) 4 (c) 1 (d) 3
  38. 38.If 7x − 16 = 61, what is x? (a) 77 (b) 10 (c) 11 (d) 12
  39. 39.If 3x + 18 = 24, what is x? (a) 14 (b) 3 (c) 6 (d) 2
  40. 40.If 7x + 5 = 4x + 8, what is x? (a) 3 (b) 1 (c) 2 (d) 4

Answer key

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

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