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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 24 · 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 − 28 = 17, what is x? (a) 45 (b) 5 (c) 4 (d) 6
  2. 2.If x/5 + 9 = 14, what is x? (a) 5 (b) 61 (c) 25 (d) 115
  3. 3.If x/6 + 1 = 13, what is x? (a) 72 (b) 12 (c) 77 (d) 84
  4. 4.If 8x + 2 = 2x + 68, what is x? (a) 12 (b) 11 (c) 13 (d) 10
  5. 5.If 6x + 11 = 4x + 13, what is x? (a) 2 (b) 1 (c) 3 (d) 12
  6. 6.If 2x + 19 = 47, what is x? (a) 15 (b) 28 (c) 14 (d) 33
  7. 7.If x/5 + 1 = 7, what is x? (a) 6 (b) 30 (c) 40 (d) 34
  8. 8.If 3x + 18 = 60, what is x? (a) 26 (b) 14 (c) 15 (d) 42
  9. 9.If x/4 + 9 = 13, what is x? (a) 4 (b) 88 (c) 16 (d) 43
  10. 10.If 3x + 8 = 2x + 9, what is x? (a) 2 (b) 3 (c) 17 (d) 1
  11. 11.If 6x + 28 = 118, what is x? (a) 14 (b) 90 (c) 16 (d) 15
  12. 12.If x/2 + 2 = 5, what is x? (a) 14 (b) 6 (c) 3 (d) 8
  13. 13.If 6x + 14 = 80, what is x? (a) 11 (b) 12 (c) 10 (d) 66
  14. 14.If 9x + 19 = 4x + 39, what is x? (a) 4 (b) 5 (c) 3 (d) 6
  15. 15.If x/6 + 15 = 26, what is x? (a) 246 (b) 66 (c) 141 (d) 11
  16. 16.If x/3 + 4 = 13, what is x? (a) 27 (b) 35 (c) 9 (d) 51
  17. 17.If x/5 + 3 = 12, what is x? (a) 45 (b) 75 (c) 9 (d) 57
  18. 18.If 2x − 1 = 15, what is x? (a) 7 (b) 16 (c) 9 (d) 8
  19. 19.If 2x − 1 = 23, what is x? (a) 24 (b) 11 (c) 12 (d) 13
  20. 20.If 3x + 24 = 57, what is x? (a) 11 (b) 27 (c) 33 (d) 12
  21. 21.If 3x + 7 = 49, what is x? (a) 15 (b) 13 (c) 42 (d) 14
  22. 22.If 4x + 11 = 3x + 16, what is x? (a) 6 (b) 5 (c) 7 (d) 27
  23. 23.If 5x + 29 = 99, what is x? (a) 70 (b) 15 (c) 13 (d) 14
  24. 24.If x/2 + 7 = 17, what is x? (a) 20 (b) 10 (c) 48 (d) 27
  25. 25.If 2x + 11 = 15, what is x? (a) 3 (b) 13 (c) 4 (d) 2
  26. 26.If 4x + 6 = 3x + 8, what is x? (a) 2 (b) 3 (c) 4 (d) 14
  27. 27.If 3x + 2 = 17, what is x? (a) 4 (b) 6 (c) 15 (d) 5
  28. 28.If 5x − 18 = 42, what is x? (a) 11 (b) 60 (c) 12 (d) 13
  29. 29.If x/5 + 8 = 11, what is x? (a) 15 (b) 3 (c) 95 (d) 47
  30. 30.If 8x + 14 = 7x + 20, what is x? (a) 6 (b) 34 (c) 8 (d) 7
  31. 31.If 2x + 25 = 43, what is x? (a) 9 (b) 34 (c) 18 (d) 10
  32. 32.If 3x + 19 = 37, what is x? (a) 5 (b) 7 (c) 6 (d) 18
  33. 33.If x/2 + 14 = 26, what is x? (a) 38 (b) 80 (c) 12 (d) 24
  34. 34.If 3x − 10 = 5, what is x? (a) 15 (b) 6 (c) 4 (d) 5
  35. 35.If 8x + 16 = 2x + 46, what is x? (a) 3 (b) 5 (c) 7 (d) 6
  36. 36.If 9x + 19 = 154, what is x? (a) 16 (b) 14 (c) 135 (d) 15
  37. 37.If 4x + 15 = 27, what is x? (a) 3 (b) 4 (c) 2 (d) 12
  38. 38.If 3x + 17 = 32, what is x? (a) 5 (b) 15 (c) 4 (d) 6
  39. 39.If 5x − 6 = 4, what is x? (a) 2 (b) 1 (c) 10 (d) 3
  40. 40.If 8x + 6 = 62, what is x? (a) 6 (b) 7 (c) 56 (d) 8

Answer key

  1. 5
  2. 25
  3. 72
  4. 11
  5. 1
  6. 14
  7. 30
  8. 14
  9. 16
  10. 1
  11. 15
  12. 6
  13. 11
  14. 4
  15. 66
  16. 27
  17. 45
  18. 8
  19. 12
  20. 11
  21. 14
  22. 5
  23. 14
  24. 20
  25. 2
  26. 2
  27. 5
  28. 12
  29. 15
  30. 6
  31. 9
  32. 6
  33. 24
  34. 5
  35. 5
  36. 15
  37. 3
  38. 5
  39. 2
  40. 7

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