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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 282 · 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 4x + 18 = 3x + 30, what is x? (a) 13 (b) 12 (c) 14 (d) 48
  2. 2.If 7x + 18 = 123, what is x? (a) 15 (b) 14 (c) 105 (d) 16
  3. 3.If 3x + 19 = x + 35, what is x? (a) 8 (b) 27 (c) 9 (d) 4
  4. 4.If 4x + 24 = 32, what is x? (a) 8 (b) 14 (c) 3 (d) 2
  5. 5.If 2x + 6 = 14, what is x? (a) 10 (b) 8 (c) 5 (d) 4
  6. 6.If 2x + 17 = 43, what is x? (a) 26 (b) 14 (c) 13 (d) 30
  7. 7.If 3x + 17 = 2x + 29, what is x? (a) 13 (b) 12 (c) 46 (d) 14
  8. 8.If 4x − 15 = 1, what is x? (a) 16 (b) 3 (c) 5 (d) 4
  9. 9.If x/2 + 10 = 19, what is x? (a) 28 (b) 9 (c) 18 (d) 58
  10. 10.If x/6 + 1 = 7, what is x? (a) 48 (b) 6 (c) 36 (d) 41
  11. 11.If 9x + 6 = 105, what is x? (a) 99 (b) 12 (c) 10 (d) 11
  12. 12.If 2x − 10 = 4, what is x? (a) 6 (b) 8 (c) 14 (d) 7
  13. 13.If 9x − 120 = 6, what is x? (a) 15 (b) 14 (c) 13 (d) 126
  14. 14.If 7x − 31 = 67, what is x? (a) 98 (b) 13 (c) 14 (d) 15
  15. 15.If 4x + 3 = 23, what is x? (a) 20 (b) 5 (c) 4 (d) 6
  16. 16.If 2x + 11 = 31, what is x? (a) 20 (b) 10 (c) 21 (d) 11
  17. 17.If x/6 + 11 = 21, what is x? (a) 60 (b) 115 (c) 10 (d) 192
  18. 18.If 3x + 8 = 47, what is x? (a) 39 (b) 14 (c) 13 (d) 12
  19. 19.If 3x + 15 = 45, what is x? (a) 10 (b) 30 (c) 11 (d) 20
  20. 20.If 8x + 4 = 5x + 16, what is x? (a) 5 (b) 4 (c) 3 (d) 6
  21. 21.If 2x + 2 = 14, what is x? (a) 12 (b) 8 (c) 6 (d) 7
  22. 22.If 2x − 3 = 7, what is x? (a) 2 (b) 5 (c) 10 (d) 6
  23. 23.If 9x + 16 = 2x + 72, what is x? (a) 8 (b) 10 (c) 9 (d) 7
  24. 24.If 2x − 3 = 3, what is x? (a) 4 (b) 3 (c) 2 (d) 6
  25. 25.If 9x + 23 = 104, what is x? (a) 81 (b) 9 (c) 10 (d) 8
  26. 26.If 3x + 5 = 47, what is x? (a) 42 (b) 15 (c) 14 (d) 13
  27. 27.If 6x + 20 = 3x + 41, what is x? (a) 7 (b) 6 (c) 8 (d) 9
  28. 28.If x/2 + 11 = 17, what is x? (a) 56 (b) 12 (c) 23 (d) 6
  29. 29.If x/5 + 14 = 18, what is x? (a) 4 (b) 76 (c) 20 (d) 160
  30. 30.If x/3 + 3 = 13, what is x? (a) 36 (b) 10 (c) 48 (d) 30
  31. 31.If 5x + 7 = 4x + 9, what is x? (a) 4 (b) 3 (c) 2 (d) 16
  32. 32.If 8x − 47 = 9, what is x? (a) 56 (b) 6 (c) 8 (d) 7
  33. 33.If 3x + 15 = x + 19, what is x? (a) 3 (b) 2 (c) 17 (d) 1
  34. 34.If 5x + 17 = 92, what is x? (a) 15 (b) 16 (c) 75 (d) 14
  35. 35.If 3x + 5 = x + 7, what is x? (a) 3 (b) 6 (c) 1 (d) 2
  36. 36.If x/5 + 7 = 11, what is x? (a) 4 (b) 48 (c) 20 (d) 90
  37. 37.If x/2 + 12 = 21, what is x? (a) 30 (b) 66 (c) 9 (d) 18
  38. 38.If 5x + 9 = 3x + 11, what is x? (a) 10 (b) 3 (c) 1 (d) 2
  39. 39.If 9x + 10 = 118, what is x? (a) 11 (b) 12 (c) 108 (d) 13
  40. 40.If 7x − 16 = 12, what is x? (a) 28 (b) 5 (c) 3 (d) 4

Answer key

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

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