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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 308 · 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 + 6 = 15, what is x? (a) 7 (b) 4 (c) 3 (d) 9
  2. 2.If 2x − 3 = 17, what is x? (a) 10 (b) 11 (c) 20 (d) 7
  3. 3.If 6x + 8 = 20, what is x? (a) 2 (b) 3 (c) 12 (d) 1
  4. 4.If 5x + 29 = 59, what is x? (a) 5 (b) 7 (c) 6 (d) 30
  5. 5.If 3x + 17 = 2x + 19, what is x? (a) 2 (b) 4 (c) 3 (d) 36
  6. 6.If 4x − 7 = 9, what is x? (a) 3 (b) 5 (c) 4 (d) 16
  7. 7.If 9x + 14 = 2x + 63, what is x? (a) 11 (b) 7 (c) 8 (d) 9
  8. 8.If 6x + 24 = 96, what is x? (a) 72 (b) 13 (c) 12 (d) 20
  9. 9.If 6x + 5 = 89, what is x? (a) 13 (b) 15 (c) 84 (d) 14
  10. 10.If 8x + 8 = 7x + 12, what is x? (a) 20 (b) 5 (c) 6 (d) 4
  11. 11.If 9x + 17 = 62, what is x? (a) 45 (b) 5 (c) 4 (d) 6
  12. 12.If 9x − 2 = 70, what is x? (a) 7 (b) 72 (c) 9 (d) 8
  13. 13.If 7x + 21 = 105, what is x? (a) 18 (b) 84 (c) 13 (d) 12
  14. 14.If 3x − 31 = 8, what is x? (a) 12 (b) 39 (c) 13 (d) 14
  15. 15.If 4x + 4 = x + 16, what is x? (a) 4 (b) 6 (c) 5 (d) 3
  16. 16.If 5x + 30 = 60, what is x? (a) 30 (b) 18 (c) 6 (d) 7
  17. 17.If 5x + 14 = 3x + 20, what is x? (a) 17 (b) 4 (c) 3 (d) 5
  18. 18.If 2x + 13 = 21, what is x? (a) 4 (b) 5 (c) 17 (d) 8
  19. 19.If 5x + 30 = 65, what is x? (a) 35 (b) 19 (c) 7 (d) 8
  20. 20.If x/6 + 10 = 18, what is x? (a) 168 (b) 8 (c) 98 (d) 48
  21. 21.If 3x − 17 = 4, what is x? (a) 21 (b) 6 (c) 8 (d) 7
  22. 22.If x/2 + 10 = 17, what is x? (a) 7 (b) 54 (c) 24 (d) 14
  23. 23.If 9x + 20 = 155, what is x? (a) 16 (b) 14 (c) 135 (d) 15
  24. 24.If 7x + 23 = 121, what is x? (a) 15 (b) 13 (c) 98 (d) 14
  25. 25.If 6x − 60 = 18, what is x? (a) 78 (b) 14 (c) 13 (d) 12
  26. 26.If x/3 + 14 = 18, what is x? (a) 12 (b) 40 (c) 96 (d) 4
  27. 27.If x/6 + 14 = 19, what is x? (a) 5 (b) 100 (c) 30 (d) 198
  28. 28.If 3x + 2 = 2x + 6, what is x? (a) 6 (b) 8 (c) 5 (d) 4
  29. 29.If 9x + 12 = 84, what is x? (a) 9 (b) 72 (c) 7 (d) 8
  30. 30.If 2x + 15 = 45, what is x? (a) 14 (b) 15 (c) 30 (d) 16
  31. 31.If 6x + 11 = x + 71, what is x? (a) 11 (b) 12 (c) 13 (d) 14
  32. 32.If x/6 + 11 = 19, what is x? (a) 103 (b) 180 (c) 8 (d) 48
  33. 33.If 4x + 2 = x + 11, what is x? (a) 3 (b) 5 (c) 2 (d) 4
  34. 34.If 7x + 11 = 5x + 25, what is x? (a) 18 (b) 8 (c) 9 (d) 7
  35. 35.If 5x + 25 = 55, what is x? (a) 7 (b) 30 (c) 6 (d) 16
  36. 36.If 7x + 23 = 93, what is x? (a) 11 (b) 9 (c) 10 (d) 70
  37. 37.If 3x + 14 = 47, what is x? (a) 10 (b) 33 (c) 11 (d) 12
  38. 38.If 2x + 18 = 34, what is x? (a) 16 (b) 8 (c) 26 (d) 9
  39. 39.If x/6 + 7 = 18, what is x? (a) 101 (b) 150 (c) 11 (d) 66
  40. 40.If 3x − 6 = 3, what is x? (a) 2 (b) 3 (c) 4 (d) 9

Answer key

  1. 3
  2. 10
  3. 2
  4. 6
  5. 2
  6. 4
  7. 7
  8. 12
  9. 14
  10. 4
  11. 5
  12. 8
  13. 12
  14. 13
  15. 4
  16. 6
  17. 3
  18. 4
  19. 7
  20. 48
  21. 7
  22. 14
  23. 15
  24. 14
  25. 13
  26. 12
  27. 30
  28. 4
  29. 8
  30. 15
  31. 12
  32. 48
  33. 3
  34. 7
  35. 6
  36. 10
  37. 11
  38. 8
  39. 66
  40. 3

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