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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 84 · 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 + 13 = x + 21, what is x? (a) 2 (b) 4 (c) 17 (d) 5
  2. 2.If 8x + 5 = 37, what is x? (a) 32 (b) 3 (c) 4 (d) 5
  3. 3.If 3x − 4 = 32, what is x? (a) 11 (b) 36 (c) 12 (d) 13
  4. 4.If 3x + 14 = x + 22, what is x? (a) 18 (b) 2 (c) 5 (d) 4
  5. 5.If 8x + 8 = 120, what is x? (a) 15 (b) 112 (c) 16 (d) 14
  6. 6.If x/2 + 2 = 5, what is x? (a) 14 (b) 8 (c) 3 (d) 6
  7. 7.If x/3 + 7 = 12, what is x? (a) 57 (b) 15 (c) 5 (d) 29
  8. 8.If 8x − 3 = 37, what is x? (a) 5 (b) 6 (c) 4 (d) 40
  9. 9.If 9x + 28 = 82, what is x? (a) 5 (b) 6 (c) 54 (d) 7
  10. 10.If 2x − 4 = 4, what is x? (a) 8 (b) 4 (c) 3 (d) 5
  11. 11.If 4x + 8 = 2x + 12, what is x? (a) 4 (b) 3 (c) 2 (d) 10
  12. 12.If 4x + 30 = 42, what is x? (a) 4 (b) 18 (c) 3 (d) 12
  13. 13.If 7x + 3 = 2x + 43, what is x? (a) 8 (b) 9 (c) 10 (d) 7
  14. 14.If x/4 + 4 = 10, what is x? (a) 24 (b) 6 (c) 36 (d) 56
  15. 15.If 3x − 22 = 23, what is x? (a) 45 (b) 14 (c) 16 (d) 15
  16. 16.If 5x + 2 = 37, what is x? (a) 35 (b) 7 (c) 6 (d) 8
  17. 17.If 5x − 2 = 13, what is x? (a) 4 (b) 2 (c) 15 (d) 3
  18. 18.If 9x − 60 = 12, what is x? (a) 7 (b) 72 (c) 9 (d) 8
  19. 19.If 9x + 6 = 114, what is x? (a) 11 (b) 108 (c) 13 (d) 12
  20. 20.If 7x + 5 = 3x + 29, what is x? (a) 7 (b) 8 (c) 5 (d) 6
  21. 21.If x/6 + 1 = 11, what is x? (a) 10 (b) 60 (c) 72 (d) 65
  22. 22.If 3x − 14 = 16, what is x? (a) 11 (b) 30 (c) 10 (d) 9
  23. 23.If 6x + 1 = x + 56, what is x? (a) 13 (b) 12 (c) 11 (d) 10
  24. 24.If 2x − 4 = 22, what is x? (a) 14 (b) 13 (c) 26 (d) 9
  25. 25.If x/2 + 3 = 8, what is x? (a) 5 (b) 22 (c) 13 (d) 10
  26. 26.If 8x − 39 = 57, what is x? (a) 11 (b) 12 (c) 96 (d) 13
  27. 27.If 3x + 2 = x + 6, what is x? (a) 4 (b) 1 (c) 3 (d) 2
  28. 28.If x/5 + 13 = 19, what is x? (a) 6 (b) 82 (c) 160 (d) 30
  29. 29.If 4x + 22 = 78, what is x? (a) 15 (b) 56 (c) 25 (d) 14
  30. 30.If 2x + 4 = 34, what is x? (a) 19 (b) 30 (c) 15 (d) 16
  31. 31.If 4x − 4 = 32, what is x? (a) 36 (b) 7 (c) 9 (d) 10
  32. 32.If x/4 + 3 = 9, what is x? (a) 6 (b) 24 (c) 48 (d) 33
  33. 33.If 8x + 15 = 4x + 19, what is x? (a) 3 (b) 2 (c) 4 (d) 1
  34. 34.If 8x − 69 = 43, what is x? (a) 15 (b) 112 (c) 13 (d) 14
  35. 35.If 7x + 9 = 23, what is x? (a) 1 (b) 2 (c) 3 (d) 14
  36. 36.If 4x + 24 = 76, what is x? (a) 52 (b) 13 (c) 25 (d) 14
  37. 37.If 3x + 24 = 33, what is x? (a) 9 (b) 19 (c) 3 (d) 4
  38. 38.If x/6 + 7 = 14, what is x? (a) 7 (b) 126 (c) 42 (d) 77
  39. 39.If 8x + 5 = 3x + 40, what is x? (a) 8 (b) 9 (c) 6 (d) 7
  40. 40.If 4x + 10 = 2x + 18, what is x? (a) 5 (b) 14 (c) 6 (d) 4

Answer key

  1. 4
  2. 4
  3. 12
  4. 4
  5. 14
  6. 6
  7. 15
  8. 5
  9. 6
  10. 4
  11. 2
  12. 3
  13. 8
  14. 24
  15. 15
  16. 7
  17. 3
  18. 8
  19. 12
  20. 6
  21. 60
  22. 10
  23. 11
  24. 13
  25. 10
  26. 12
  27. 2
  28. 30
  29. 14
  30. 15
  31. 9
  32. 24
  33. 1
  34. 14
  35. 2
  36. 13
  37. 3
  38. 42
  39. 7
  40. 4

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