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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 131 · 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 + 1 = 4x + 13, what is x? (a) 14 (b) 11 (c) 13 (d) 12
  2. 2.If 4x + 13 = 45, what is x? (a) 9 (b) 32 (c) 7 (d) 8
  3. 3.If 3x + 6 = x + 28, what is x? (a) 12 (b) 17 (c) 11 (d) 13
  4. 4.If 6x + 14 = 98, what is x? (a) 13 (b) 15 (c) 14 (d) 84
  5. 5.If 6x − 64 = 20, what is x? (a) 13 (b) 14 (c) 15 (d) 84
  6. 6.If x/5 + 8 = 17, what is x? (a) 9 (b) 77 (c) 45 (d) 125
  7. 7.If x/5 + 11 = 20, what is x? (a) 155 (b) 89 (c) 45 (d) 9
  8. 8.If 4x + 10 = 66, what is x? (a) 14 (b) 56 (c) 19 (d) 15
  9. 9.If 5x − 7 = 33, what is x? (a) 9 (b) 40 (c) 8 (d) 7
  10. 10.If x/2 + 4 = 10, what is x? (a) 12 (b) 6 (c) 28 (d) 16
  11. 11.If x/6 + 5 = 8, what is x? (a) 78 (b) 18 (c) 43 (d) 3
  12. 12.If 3x − 26 = 16, what is x? (a) 42 (b) 14 (c) 13 (d) 15
  13. 13.If 6x + 7 = 73, what is x? (a) 11 (b) 10 (c) 12 (d) 66
  14. 14.If 4x − 18 = 2, what is x? (a) 20 (b) 6 (c) 5 (d) 4
  15. 15.If 9x − 125 = 1, what is x? (a) 126 (b) 15 (c) 13 (d) 14
  16. 16.If 4x + 12 = 24, what is x? (a) 3 (b) 9 (c) 12 (d) 4
  17. 17.If 4x + 3 = 3x + 8, what is x? (a) 5 (b) 11 (c) 6 (d) 7
  18. 18.If 4x + 7 = x + 31, what is x? (a) 9 (b) 7 (c) 10 (d) 8
  19. 19.If 3x + 12 = 2x + 23, what is x? (a) 13 (b) 11 (c) 12 (d) 35
  20. 20.If 9x + 2 = 4x + 22, what is x? (a) 6 (b) 3 (c) 4 (d) 5
  21. 21.If x/3 + 15 = 20, what is x? (a) 5 (b) 45 (c) 105 (d) 15
  22. 22.If 2x − 1 = 3, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  23. 23.If 4x + 23 = 31, what is x? (a) 1 (b) 2 (c) 8 (d) 3
  24. 24.If 6x − 42 = 24, what is x? (a) 10 (b) 12 (c) 11 (d) 66
  25. 25.If 7x + 12 = 3x + 40, what is x? (a) 9 (b) 8 (c) 13 (d) 7
  26. 26.If 6x + 14 = 4x + 18, what is x? (a) 3 (b) 2 (c) 16 (d) 4
  27. 27.If 8x − 27 = 37, what is x? (a) 9 (b) 8 (c) 7 (d) 64
  28. 28.If x/5 + 1 = 5, what is x? (a) 24 (b) 4 (c) 20 (d) 30
  29. 29.If 3x + 8 = 23, what is x? (a) 15 (b) 6 (c) 4 (d) 5
  30. 30.If 7x + 3 = 17, what is x? (a) 1 (b) 14 (c) 3 (d) 2
  31. 31.If 5x + 3 = 2x + 36, what is x? (a) 13 (b) 10 (c) 11 (d) 12
  32. 32.If 5x − 1 = 9, what is x? (a) 2 (b) 1 (c) 3 (d) 10
  33. 33.If 5x + 14 = 59, what is x? (a) 45 (b) 10 (c) 9 (d) 8
  34. 34.If 5x + 15 = 40, what is x? (a) 6 (b) 11 (c) 25 (d) 5
  35. 35.If 2x + 29 = 53, what is x? (a) 13 (b) 41 (c) 12 (d) 24
  36. 36.If x/6 + 1 = 7, what is x? (a) 48 (b) 6 (c) 41 (d) 36
  37. 37.If 9x + 19 = 154, what is x? (a) 14 (b) 16 (c) 15 (d) 135
  38. 38.If 7x + 4 = 39, what is x? (a) 4 (b) 6 (c) 35 (d) 5
  39. 39.If 4x + 17 = x + 35, what is x? (a) 6 (b) 7 (c) 8 (d) 5
  40. 40.If 5x + 16 = 2x + 40, what is x? (a) 7 (b) 9 (c) 8 (d) 10

Answer key

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

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