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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 283 · 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 6x − 15 = 69, what is x? (a) 9 (b) 15 (c) 84 (d) 14
  2. 2.If 8x + 2 = 3x + 62, what is x? (a) 14 (b) 13 (c) 12 (d) 11
  3. 3.If 8x + 2 = 50, what is x? (a) 7 (b) 6 (c) 5 (d) 48
  4. 4.If x/3 + 3 = 13, what is x? (a) 10 (b) 48 (c) 30 (d) 36
  5. 5.If 7x − 54 = 51, what is x? (a) 16 (b) 14 (c) 105 (d) 15
  6. 6.If 7x + 11 = 6x + 14, what is x? (a) 3 (b) 4 (c) 25 (d) 5
  7. 7.If 8x + 1 = 17, what is x? (a) 16 (b) 1 (c) 3 (d) 2
  8. 8.If 6x + 11 = 5x + 22, what is x? (a) 1 (b) 11 (c) 12 (d) 33
  9. 9.If 2x + 14 = 38, what is x? (a) 13 (b) 12 (c) 24 (d) 26
  10. 10.If 8x + 8 = 4x + 48, what is x? (a) 11 (b) 12 (c) 10 (d) 14
  11. 11.If x/5 + 5 = 14, what is x? (a) 9 (b) 95 (c) 65 (d) 45
  12. 12.If 5x + 13 = 3x + 35, what is x? (a) 11 (b) 13 (c) 24 (d) 12
  13. 13.If x/5 + 3 = 15, what is x? (a) 90 (b) 12 (c) 72 (d) 60
  14. 14.If x/3 + 4 = 9, what is x? (a) 39 (b) 23 (c) 5 (d) 15
  15. 15.If 8x + 20 = 84, what is x? (a) 13 (b) 9 (c) 8 (d) 64
  16. 16.If 2x + 7 = 15, what is x? (a) 4 (b) 11 (c) 5 (d) 8
  17. 17.If x/2 + 3 = 5, what is x? (a) 4 (b) 2 (c) 16 (d) 7
  18. 18.If 2x − 1 = 19, what is x? (a) 9 (b) 11 (c) 20 (d) 10
  19. 19.If 2x + 11 = 21, what is x? (a) 16 (b) 5 (c) 6 (d) 10
  20. 20.If 3x − 11 = 34, what is x? (a) 45 (b) 16 (c) 14 (d) 15
  21. 21.If 6x + 18 = x + 38, what is x? (a) 3 (b) 4 (c) 6 (d) 5
  22. 22.If 3x + 24 = 36, what is x? (a) 4 (b) 5 (c) 12 (d) 20
  23. 23.If x/3 + 6 = 8, what is x? (a) 18 (b) 2 (c) 42 (d) 6
  24. 24.If 6x + 7 = 4x + 25, what is x? (a) 10 (b) 16 (c) 11 (d) 9
  25. 25.If x/3 + 15 = 17, what is x? (a) 2 (b) 6 (c) 36 (d) 96
  26. 26.If 9x + 19 = 6x + 22, what is x? (a) 4 (b) 2 (c) 3 (d) 1
  27. 27.If 5x + 15 = 3x + 39, what is x? (a) 3 (b) 13 (c) 12 (d) 27
  28. 28.If 3x + 19 = x + 35, what is x? (a) 8 (b) 27 (c) 4 (d) 9
  29. 29.If x/2 + 15 = 19, what is x? (a) 68 (b) 23 (c) 4 (d) 8
  30. 30.If 9x − 81 = 18, what is x? (a) 99 (b) 10 (c) 11 (d) 12
  31. 31.If x/6 + 4 = 13, what is x? (a) 9 (b) 102 (c) 74 (d) 54
  32. 32.If 5x + 12 = 3x + 30, what is x? (a) 11 (b) 21 (c) 10 (d) 9
  33. 33.If 3x + 12 = x + 36, what is x? (a) 13 (b) 12 (c) 6 (d) 24
  34. 34.If 7x + 18 = 32, what is x? (a) 3 (b) 14 (c) 1 (d) 2
  35. 35.If 6x − 55 = 29, what is x? (a) 13 (b) 15 (c) 14 (d) 84
  36. 36.If x/4 + 12 = 17, what is x? (a) 116 (b) 56 (c) 20 (d) 5
  37. 37.If 8x + 16 = 40, what is x? (a) 7 (b) 3 (c) 24 (d) 4
  38. 38.If 9x + 22 = 40, what is x? (a) 1 (b) 18 (c) 2 (d) 3
  39. 39.If x/6 + 3 = 13, what is x? (a) 96 (b) 60 (c) 75 (d) 10
  40. 40.If 2x + 8 = 28, what is x? (a) 18 (b) 10 (c) 20 (d) 11

Answer key

  1. 14
  2. 12
  3. 6
  4. 30
  5. 15
  6. 3
  7. 2
  8. 11
  9. 12
  10. 10
  11. 45
  12. 11
  13. 60
  14. 15
  15. 8
  16. 4
  17. 4
  18. 10
  19. 5
  20. 15
  21. 4
  22. 4
  23. 6
  24. 9
  25. 6
  26. 1
  27. 12
  28. 8
  29. 8
  30. 11
  31. 54
  32. 9
  33. 12
  34. 2
  35. 14
  36. 20
  37. 3
  38. 2
  39. 60
  40. 10

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