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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 105 · 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 6x + 5 = 4x + 29, what is x? (a) 12 (b) 13 (c) 14 (d) 17
  2. 2.If 2x + 15 = 25, what is x? (a) 20 (b) 5 (c) 6 (d) 10
  3. 3.If 9x + 23 = 59, what is x? (a) 3 (b) 4 (c) 36 (d) 5
  4. 4.If 5x + 15 = 50, what is x? (a) 35 (b) 13 (c) 7 (d) 8
  5. 5.If 2x + 7 = 27, what is x? (a) 10 (b) 11 (c) 20 (d) 17
  6. 6.If 6x + 19 = x + 64, what is x? (a) 9 (b) 10 (c) 11 (d) 8
  7. 7.If 6x + 17 = 83, what is x? (a) 10 (b) 11 (c) 12 (d) 66
  8. 8.If 2x + 9 = 31, what is x? (a) 12 (b) 20 (c) 11 (d) 22
  9. 9.If x/3 + 2 = 14, what is x? (a) 36 (b) 40 (c) 48 (d) 12
  10. 10.If 4x − 21 = 15, what is x? (a) 9 (b) 8 (c) 10 (d) 36
  11. 11.If 4x + 1 = 53, what is x? (a) 52 (b) 13 (c) 14 (d) 12
  12. 12.If 3x + 16 = 28, what is x? (a) 3 (b) 5 (c) 12 (d) 4
  13. 13.If 6x + 4 = 52, what is x? (a) 8 (b) 9 (c) 7 (d) 48
  14. 14.If 2x − 4 = 4, what is x? (a) 5 (b) 3 (c) 8 (d) 4
  15. 15.If x/2 + 2 = 4, what is x? (a) 4 (b) 2 (c) 12 (d) 6
  16. 16.If x/6 + 5 = 12, what is x? (a) 67 (b) 42 (c) 102 (d) 7
  17. 17.If 2x + 7 = 29, what is x? (a) 12 (b) 11 (c) 22 (d) 18
  18. 18.If x/5 + 14 = 23, what is x? (a) 185 (b) 101 (c) 45 (d) 9
  19. 19.If 4x − 4 = 12, what is x? (a) 2 (b) 16 (c) 5 (d) 4
  20. 20.If 9x + 13 = x + 101, what is x? (a) 10 (b) 12 (c) 11 (d) 13
  21. 21.If 2x + 11 = 15, what is x? (a) 13 (b) 3 (c) 2 (d) 4
  22. 22.If x/2 + 3 = 14, what is x? (a) 25 (b) 11 (c) 34 (d) 22
  23. 23.If 7x + 3 = 45, what is x? (a) 42 (b) 5 (c) 7 (d) 6
  24. 24.If 5x − 52 = 23, what is x? (a) 16 (b) 14 (c) 15 (d) 75
  25. 25.If 9x + 14 = 8x + 24, what is x? (a) 12 (b) 11 (c) 38 (d) 10
  26. 26.If 5x − 23 = 32, what is x? (a) 10 (b) 12 (c) 11 (d) 55
  27. 27.If x/5 + 4 = 12, what is x? (a) 56 (b) 80 (c) 8 (d) 40
  28. 28.If 6x − 49 = 35, what is x? (a) 13 (b) 84 (c) 15 (d) 14
  29. 29.If 4x + 8 = x + 44, what is x? (a) 13 (b) 12 (c) 14 (d) 11
  30. 30.If 2x + 28 = 52, what is x? (a) 24 (b) 13 (c) 12 (d) 40
  31. 31.If x/5 + 9 = 20, what is x? (a) 11 (b) 91 (c) 55 (d) 145
  32. 32.If 7x + 6 = x + 42, what is x? (a) 5 (b) 7 (c) 8 (d) 6
  33. 33.If 9x − 50 = 58, what is x? (a) 11 (b) 12 (c) 108 (d) 13
  34. 34.If x/6 + 8 = 19, what is x? (a) 162 (b) 106 (c) 66 (d) 11
  35. 35.If 5x + 10 = x + 46, what is x? (a) 10 (b) 14 (c) 9 (d) 6
  36. 36.If 8x − 8 = 80, what is x? (a) 9 (b) 12 (c) 88 (d) 11
  37. 37.If 7x − 7 = 21, what is x? (a) 5 (b) 4 (c) 28 (d) 2
  38. 38.If x/5 + 2 = 8, what is x? (a) 38 (b) 30 (c) 6 (d) 50
  39. 39.If 4x − 25 = 31, what is x? (a) 14 (b) 15 (c) 56 (d) 13
  40. 40.If 3x − 3 = 6, what is x? (a) 3 (b) 4 (c) 9 (d) 1

Answer key

  1. 12
  2. 5
  3. 4
  4. 7
  5. 10
  6. 9
  7. 11
  8. 11
  9. 36
  10. 9
  11. 13
  12. 4
  13. 8
  14. 4
  15. 4
  16. 42
  17. 11
  18. 45
  19. 4
  20. 11
  21. 2
  22. 22
  23. 6
  24. 15
  25. 10
  26. 11
  27. 40
  28. 14
  29. 12
  30. 12
  31. 55
  32. 6
  33. 12
  34. 66
  35. 9
  36. 11
  37. 4
  38. 30
  39. 14
  40. 3

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