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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 114 · 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 2x − 24 = 6, what is x? (a) 30 (b) 15 (c) 14 (d) 16
  2. 2.If 6x − 12 = 6, what is x? (a) 4 (b) 3 (c) 18 (d) 2
  3. 3.If x/4 + 3 = 8, what is x? (a) 5 (b) 44 (c) 20 (d) 29
  4. 4.If 8x + 28 = 108, what is x? (a) 17 (b) 10 (c) 11 (d) 80
  5. 5.If 9x + 8 = 134, what is x? (a) 126 (b) 13 (c) 15 (d) 14
  6. 6.If 6x + 14 = 4x + 20, what is x? (a) 17 (b) 4 (c) 5 (d) 3
  7. 7.If 9x + 4 = 112, what is x? (a) 11 (b) 13 (c) 12 (d) 108
  8. 8.If 8x + 2 = x + 44, what is x? (a) 6 (b) 8 (c) 7 (d) 5
  9. 9.If 2x − 3 = 9, what is x? (a) 12 (b) 7 (c) 3 (d) 6
  10. 10.If x/3 + 8 = 18, what is x? (a) 30 (b) 46 (c) 78 (d) 10
  11. 11.If x/3 + 1 = 9, what is x? (a) 30 (b) 8 (c) 24 (d) 26
  12. 12.If 4x − 4 = 20, what is x? (a) 4 (b) 7 (c) 24 (d) 6
  13. 13.If 4x + 20 = 64, what is x? (a) 11 (b) 44 (c) 12 (d) 21
  14. 14.If 3x − 26 = 7, what is x? (a) 11 (b) 12 (c) 10 (d) 33
  15. 15.If 5x + 28 = 83, what is x? (a) 12 (b) 55 (c) 10 (d) 11
  16. 16.If 8x + 8 = 120, what is x? (a) 16 (b) 15 (c) 14 (d) 112
  17. 17.If 2x − 7 = 1, what is x? (a) 5 (b) 3 (c) 8 (d) 4
  18. 18.If x/5 + 10 = 17, what is x? (a) 35 (b) 135 (c) 75 (d) 7
  19. 19.If 7x + 1 = 6x + 4, what is x? (a) 5 (b) 4 (c) 2 (d) 3
  20. 20.If 5x + 15 = 30, what is x? (a) 9 (b) 4 (c) 3 (d) 15
  21. 21.If 9x + 5 = 131, what is x? (a) 15 (b) 126 (c) 14 (d) 13
  22. 22.If 2x − 6 = 4, what is x? (a) 10 (b) 4 (c) 5 (d) 6
  23. 23.If 3x − 3 = 12, what is x? (a) 3 (b) 6 (c) 5 (d) 15
  24. 24.If 4x + 20 = 32, what is x? (a) 4 (b) 13 (c) 12 (d) 3
  25. 25.If 5x − 1 = 54, what is x? (a) 10 (b) 12 (c) 11 (d) 55
  26. 26.If x/5 + 3 = 15, what is x? (a) 72 (b) 60 (c) 12 (d) 90
  27. 27.If 7x + 6 = x + 72, what is x? (a) 10 (b) 13 (c) 12 (d) 11
  28. 28.If 2x + 20 = 30, what is x? (a) 6 (b) 25 (c) 5 (d) 10
  29. 29.If 9x + 18 = 45, what is x? (a) 4 (b) 3 (c) 7 (d) 27
  30. 30.If 5x − 6 = 4, what is x? (a) 2 (b) 10 (c) 3 (d) 1
  31. 31.If 4x − 21 = 23, what is x? (a) 12 (b) 11 (c) 44 (d) 10
  32. 32.If 2x − 16 = 4, what is x? (a) 20 (b) 11 (c) 10 (d) 9
  33. 33.If x/5 + 1 = 7, what is x? (a) 30 (b) 40 (c) 6 (d) 34
  34. 34.If 6x − 8 = 22, what is x? (a) 4 (b) 6 (c) 5 (d) 30
  35. 35.If 2x + 13 = 21, what is x? (a) 5 (b) 17 (c) 4 (d) 8
  36. 36.If 9x + 14 = 3x + 38, what is x? (a) 6 (b) 2 (c) 4 (d) 5
  37. 37.If 2x − 5 = 1, what is x? (a) 2 (b) 6 (c) 3 (d) 4
  38. 38.If 2x + 1 = 27, what is x? (a) 14 (b) 13 (c) 12 (d) 26
  39. 39.If 7x + 5 = x + 65, what is x? (a) 10 (b) 12 (c) 11 (d) 9
  40. 40.If 4x − 21 = 3, what is x? (a) 6 (b) 5 (c) 24 (d) 7

Answer key

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

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