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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 264 · 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 x/5 + 10 = 20, what is x? (a) 10 (b) 50 (c) 150 (d) 90
  2. 2.If 4x + 1 = x + 4, what is x? (a) 3 (b) 2 (c) 1 (d) 4
  3. 3.If 6x + 16 = x + 46, what is x? (a) 5 (b) 6 (c) 8 (d) 7
  4. 4.If 5x + 7 = 37, what is x? (a) 5 (b) 7 (c) 6 (d) 30
  5. 5.If 3x + 19 = x + 33, what is x? (a) 26 (b) 8 (c) 9 (d) 7
  6. 6.If x/5 + 2 = 7, what is x? (a) 33 (b) 45 (c) 25 (d) 5
  7. 7.If 7x + 16 = 4x + 34, what is x? (a) 8 (b) 7 (c) 5 (d) 6
  8. 8.If x/5 + 6 = 12, what is x? (a) 6 (b) 30 (c) 54 (d) 90
  9. 9.If 8x + 12 = 2x + 60, what is x? (a) 8 (b) 12 (c) 9 (d) 10
  10. 10.If 5x − 20 = 20, what is x? (a) 7 (b) 8 (c) 40 (d) 9
  11. 11.If 3x + 17 = 2x + 28, what is x? (a) 45 (b) 13 (c) 12 (d) 11
  12. 12.If x/2 + 14 = 21, what is x? (a) 7 (b) 14 (c) 28 (d) 70
  13. 13.If 4x + 12 = 3x + 15, what is x? (a) 4 (b) 5 (c) 27 (d) 3
  14. 14.If 6x + 2 = x + 42, what is x? (a) 8 (b) 7 (c) 10 (d) 9
  15. 15.If 3x + 15 = 51, what is x? (a) 13 (b) 22 (c) 36 (d) 12
  16. 16.If 8x + 2 = 4x + 34, what is x? (a) 7 (b) 9 (c) 10 (d) 8
  17. 17.If 4x + 6 = 2x + 28, what is x? (a) 12 (b) 11 (c) 17 (d) 13
  18. 18.If 3x + 5 = x + 15, what is x? (a) 7 (b) 10 (c) 5 (d) 6
  19. 19.If 8x + 29 = 101, what is x? (a) 8 (b) 9 (c) 10 (d) 72
  20. 20.If 8x − 80 = 8, what is x? (a) 11 (b) 10 (c) 88 (d) 12
  21. 21.If 3x + 10 = x + 34, what is x? (a) 13 (b) 12 (c) 6 (d) 22
  22. 22.If x/6 + 6 = 17, what is x? (a) 11 (b) 66 (c) 138 (d) 96
  23. 23.If 3x + 29 = 74, what is x? (a) 16 (b) 15 (c) 45 (d) 14
  24. 24.If 8x − 23 = 25, what is x? (a) 7 (b) 5 (c) 6 (d) 48
  25. 25.If 6x − 12 = 6, what is x? (a) 18 (b) 4 (c) 2 (d) 3
  26. 26.If 5x − 2 = 8, what is x? (a) 10 (b) 1 (c) 2 (d) 3
  27. 27.If 3x + 24 = 33, what is x? (a) 9 (b) 3 (c) 19 (d) 4
  28. 28.If 6x + 4 = 88, what is x? (a) 13 (b) 15 (c) 84 (d) 14
  29. 29.If 5x − 26 = 4, what is x? (a) 6 (b) 5 (c) 30 (d) 7
  30. 30.If 5x + 5 = 50, what is x? (a) 45 (b) 11 (c) 10 (d) 9
  31. 31.If 6x − 55 = 29, what is x? (a) 14 (b) 15 (c) 13 (d) 84
  32. 32.If x/4 + 12 = 23, what is x? (a) 11 (b) 140 (c) 80 (d) 44
  33. 33.If x/4 + 2 = 7, what is x? (a) 26 (b) 20 (c) 36 (d) 5
  34. 34.If 9x − 42 = 93, what is x? (a) 14 (b) 135 (c) 15 (d) 16
  35. 35.If 3x + 4 = 49, what is x? (a) 16 (b) 45 (c) 14 (d) 15
  36. 36.If 4x − 5 = 23, what is x? (a) 6 (b) 8 (c) 7 (d) 28
  37. 37.If 9x + 18 = 117, what is x? (a) 99 (b) 11 (c) 12 (d) 15
  38. 38.If x/3 + 8 = 15, what is x? (a) 37 (b) 21 (c) 7 (d) 69
  39. 39.If 4x + 2 = 2x + 8, what is x? (a) 3 (b) 4 (c) 1 (d) 5
  40. 40.If 6x − 14 = 10, what is x? (a) 3 (b) 4 (c) 24 (d) 5

Answer key

  1. 50
  2. 1
  3. 6
  4. 6
  5. 7
  6. 25
  7. 6
  8. 30
  9. 8
  10. 8
  11. 11
  12. 14
  13. 3
  14. 8
  15. 12
  16. 8
  17. 11
  18. 5
  19. 9
  20. 11
  21. 12
  22. 66
  23. 15
  24. 6
  25. 3
  26. 2
  27. 3
  28. 14
  29. 6
  30. 9
  31. 14
  32. 44
  33. 20
  34. 15
  35. 15
  36. 7
  37. 11
  38. 21
  39. 3
  40. 4

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