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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 273 · 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 + 15 = 3x + 39, what is x? (a) 13 (b) 3 (c) 12 (d) 27
  2. 2.If 9x + 15 = 6x + 45, what is x? (a) 2 (b) 20 (c) 11 (d) 10
  3. 3.If 9x + 22 = 130, what is x? (a) 12 (b) 13 (c) 11 (d) 108
  4. 4.If x/2 + 15 = 27, what is x? (a) 84 (b) 24 (c) 12 (d) 39
  5. 5.If x/4 + 1 = 8, what is x? (a) 28 (b) 7 (c) 36 (d) 31
  6. 6.If 3x + 7 = 34, what is x? (a) 10 (b) 27 (c) 9 (d) 8
  7. 7.If 3x + 9 = 2x + 15, what is x? (a) 7 (b) 8 (c) 24 (d) 6
  8. 8.If 7x − 17 = 11, what is x? (a) 28 (b) 3 (c) 5 (d) 4
  9. 9.If 6x + 7 = 5x + 19, what is x? (a) 13 (b) 26 (c) 12 (d) 14
  10. 10.If 7x − 4 = 101, what is x? (a) 105 (b) 14 (c) 15 (d) 16
  11. 11.If 6x + 20 = 5x + 32, what is x? (a) 52 (b) 12 (c) 13 (d) 14
  12. 12.If 2x + 14 = 36, what is x? (a) 12 (b) 11 (c) 22 (d) 25
  13. 13.If 6x + 11 = 4x + 17, what is x? (a) 4 (b) 14 (c) 3 (d) 5
  14. 14.If 5x − 1 = 19, what is x? (a) 4 (b) 20 (c) 5 (d) 3
  15. 15.If 8x + 4 = 28, what is x? (a) 3 (b) 24 (c) 4 (d) 2
  16. 16.If 8x + 17 = 4x + 25, what is x? (a) 4 (b) 1 (c) 3 (d) 2
  17. 17.If 2x − 6 = 4, what is x? (a) 10 (b) 6 (c) 4 (d) 5
  18. 18.If 7x − 4 = 94, what is x? (a) 15 (b) 98 (c) 13 (d) 14
  19. 19.If x/2 + 13 = 19, what is x? (a) 12 (b) 64 (c) 6 (d) 25
  20. 20.If 4x − 2 = 18, what is x? (a) 4 (b) 6 (c) 5 (d) 20
  21. 21.If 7x − 35 = 14, what is x? (a) 6 (b) 8 (c) 7 (d) 49
  22. 22.If 5x + 17 = 4x + 26, what is x? (a) 1 (b) 43 (c) 10 (d) 9
  23. 23.If 8x + 4 = 7x + 10, what is x? (a) 14 (b) 8 (c) 6 (d) 7
  24. 24.If x/2 + 13 = 21, what is x? (a) 8 (b) 68 (c) 29 (d) 16
  25. 25.If 5x − 21 = 44, what is x? (a) 14 (b) 13 (c) 65 (d) 12
  26. 26.If 8x + 3 = 3x + 13, what is x? (a) 1 (b) 3 (c) 4 (d) 2
  27. 27.If 2x − 1 = 5, what is x? (a) 2 (b) 4 (c) 3 (d) 6
  28. 28.If 8x + 13 = 2x + 19, what is x? (a) 2 (b) 3 (c) 1 (d) 4
  29. 29.If 2x + 25 = 31, what is x? (a) 6 (b) 28 (c) 4 (d) 3
  30. 30.If x/3 + 11 = 16, what is x? (a) 81 (b) 37 (c) 5 (d) 15
  31. 31.If 8x + 7 = 39, what is x? (a) 32 (b) 5 (c) 4 (d) 3
  32. 32.If 2x − 5 = 1, what is x? (a) 4 (b) 6 (c) 2 (d) 3
  33. 33.If 5x − 16 = 54, what is x? (a) 15 (b) 70 (c) 14 (d) 13
  34. 34.If 3x − 11 = 1, what is x? (a) 5 (b) 12 (c) 3 (d) 4
  35. 35.If 3x + 28 = 40, what is x? (a) 12 (b) 4 (c) 3 (d) 5
  36. 36.If 3x + 7 = x + 25, what is x? (a) 10 (b) 9 (c) 16 (d) 11
  37. 37.If x/3 + 13 = 21, what is x? (a) 50 (b) 8 (c) 102 (d) 24
  38. 38.If 2x + 22 = 48, what is x? (a) 26 (b) 35 (c) 14 (d) 13
  39. 39.If 8x + 18 = 3x + 38, what is x? (a) 3 (b) 4 (c) 6 (d) 5
  40. 40.If 8x + 1 = 4x + 5, what is x? (a) 4 (b) 2 (c) 3 (d) 1

Answer key

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

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