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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 133 · 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 3x + 1 = x + 11, what is x? (a) 7 (b) 6 (c) 5 (d) 4
  2. 2.If 3x − 13 = 2, what is x? (a) 6 (b) 15 (c) 4 (d) 5
  3. 3.If x/3 + 13 = 25, what is x? (a) 36 (b) 62 (c) 114 (d) 12
  4. 4.If 4x + 8 = 64, what is x? (a) 18 (b) 14 (c) 56 (d) 15
  5. 5.If x/4 + 2 = 10, what is x? (a) 8 (b) 38 (c) 48 (d) 32
  6. 6.If 2x − 3 = 21, what is x? (a) 24 (b) 12 (c) 9 (d) 13
  7. 7.If 4x + 12 = 3x + 24, what is x? (a) 12 (b) 13 (c) 36 (d) 14
  8. 8.If 5x − 6 = 24, what is x? (a) 7 (b) 6 (c) 30 (d) 5
  9. 9.If 6x − 27 = 3, what is x? (a) 6 (b) 5 (c) 4 (d) 30
  10. 10.If 2x + 2 = 28, what is x? (a) 15 (b) 13 (c) 26 (d) 14
  11. 11.If 6x + 21 = 45, what is x? (a) 5 (b) 24 (c) 11 (d) 4
  12. 12.If 9x + 4 = 5x + 8, what is x? (a) 3 (b) 1 (c) 2 (d) 4
  13. 13.If 6x + 26 = 80, what is x? (a) 10 (b) 9 (c) 8 (d) 54
  14. 14.If x/2 + 5 = 16, what is x? (a) 11 (b) 22 (c) 27 (d) 42
  15. 15.If 9x + 16 = 8x + 24, what is x? (a) 10 (b) 40 (c) 8 (d) 9
  16. 16.If 3x + 8 = 2x + 11, what is x? (a) 4 (b) 5 (c) 19 (d) 3
  17. 17.If x/4 + 4 = 14, what is x? (a) 52 (b) 10 (c) 72 (d) 40
  18. 18.If 7x + 14 = 4x + 29, what is x? (a) 5 (b) 4 (c) 7 (d) 6
  19. 19.If x/6 + 7 = 13, what is x? (a) 6 (b) 36 (c) 120 (d) 71
  20. 20.If 9x − 45 = 9, what is x? (a) 54 (b) 7 (c) 5 (d) 6
  21. 21.If 6x − 34 = 44, what is x? (a) 13 (b) 78 (c) 12 (d) 14
  22. 22.If x/3 + 14 = 21, what is x? (a) 105 (b) 49 (c) 7 (d) 21
  23. 23.If 5x + 17 = 4x + 21, what is x? (a) 38 (b) 4 (c) 6 (d) 5
  24. 24.If x/2 + 14 = 21, what is x? (a) 28 (b) 14 (c) 7 (d) 70
  25. 25.If x/4 + 14 = 20, what is x? (a) 6 (b) 66 (c) 24 (d) 136
  26. 26.If 4x + 4 = 2x + 26, what is x? (a) 13 (b) 15 (c) 12 (d) 11
  27. 27.If x/4 + 5 = 15, what is x? (a) 80 (b) 55 (c) 10 (d) 40
  28. 28.If 5x + 9 = 34, what is x? (a) 6 (b) 25 (c) 4 (d) 5
  29. 29.If 4x − 27 = 29, what is x? (a) 15 (b) 56 (c) 13 (d) 14
  30. 30.If x/4 + 6 = 16, what is x? (a) 58 (b) 88 (c) 10 (d) 40
  31. 31.If 4x + 5 = 53, what is x? (a) 12 (b) 48 (c) 13 (d) 11
  32. 32.If 2x + 26 = 34, what is x? (a) 5 (b) 30 (c) 4 (d) 8
  33. 33.If 2x + 27 = 41, what is x? (a) 34 (b) 8 (c) 14 (d) 7
  34. 34.If 6x − 31 = 53, what is x? (a) 15 (b) 84 (c) 14 (d) 13
  35. 35.If 3x − 2 = 19, what is x? (a) 21 (b) 7 (c) 8 (d) 6
  36. 36.If 4x − 4 = 4, what is x? (a) 8 (b) 1 (c) 2 (d) 3
  37. 37.If 9x + 14 = 2x + 35, what is x? (a) 5 (b) 3 (c) 4 (d) 7
  38. 38.If 2x − 7 = 11, what is x? (a) 10 (b) 18 (c) 2 (d) 9
  39. 39.If 7x + 10 = 108, what is x? (a) 13 (b) 15 (c) 14 (d) 98
  40. 40.If 4x + 28 = 56, what is x? (a) 28 (b) 7 (c) 21 (d) 8

Answer key

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

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