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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 256 · 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/2 + 2 = 13, what is x? (a) 24 (b) 11 (c) 30 (d) 22
  2. 2.If 6x + 17 = 3x + 47, what is x? (a) 9 (b) 10 (c) 11 (d) 12
  3. 3.If 8x + 24 = 72, what is x? (a) 12 (b) 6 (c) 7 (d) 48
  4. 4.If 5x + 19 = 3x + 25, what is x? (a) 5 (b) 22 (c) 4 (d) 3
  5. 5.If 7x + 21 = 91, what is x? (a) 11 (b) 10 (c) 16 (d) 70
  6. 6.If 4x + 20 = 40, what is x? (a) 5 (b) 15 (c) 20 (d) 6
  7. 7.If x/3 + 10 = 17, what is x? (a) 41 (b) 21 (c) 81 (d) 7
  8. 8.If 9x − 22 = 59, what is x? (a) 10 (b) 9 (c) 81 (d) 8
  9. 9.If 8x + 8 = 112, what is x? (a) 13 (b) 104 (c) 15 (d) 14
  10. 10.If 9x + 13 = 8x + 24, what is x? (a) 12 (b) 11 (c) 37 (d) 13
  11. 11.If 4x + 1 = 53, what is x? (a) 13 (b) 14 (c) 52 (d) 12
  12. 12.If x/6 + 10 = 19, what is x? (a) 104 (b) 54 (c) 9 (d) 174
  13. 13.If 2x − 12 = 4, what is x? (a) 7 (b) 9 (c) 8 (d) 16
  14. 14.If 7x + 4 = 53, what is x? (a) 49 (b) 6 (c) 8 (d) 7
  15. 15.If x/4 + 12 = 23, what is x? (a) 80 (b) 140 (c) 11 (d) 44
  16. 16.If 7x + 10 = 24, what is x? (a) 3 (b) 2 (c) 14 (d) 1
  17. 17.If 4x + 24 = 60, what is x? (a) 9 (b) 36 (c) 10 (d) 21
  18. 18.If x/3 + 11 = 19, what is x? (a) 24 (b) 90 (c) 8 (d) 46
  19. 19.If 7x − 9 = 26, what is x? (a) 6 (b) 4 (c) 5 (d) 35
  20. 20.If 5x + 25 = 90, what is x? (a) 14 (b) 13 (c) 23 (d) 65
  21. 21.If 5x + 5 = 65, what is x? (a) 14 (b) 13 (c) 12 (d) 60
  22. 22.If 8x + 27 = 75, what is x? (a) 5 (b) 7 (c) 6 (d) 48
  23. 23.If 4x − 6 = 18, what is x? (a) 24 (b) 3 (c) 6 (d) 7
  24. 24.If x/6 + 8 = 13, what is x? (a) 126 (b) 70 (c) 30 (d) 5
  25. 25.If 2x − 8 = 2, what is x? (a) 4 (b) 5 (c) 6 (d) 10
  26. 26.If 3x + 13 = x + 31, what is x? (a) 9 (b) 10 (c) 22 (d) 11
  27. 27.If 6x + 7 = 25, what is x? (a) 3 (b) 18 (c) 2 (d) 4
  28. 28.If 8x + 8 = 32, what is x? (a) 5 (b) 4 (c) 24 (d) 3
  29. 29.If 3x + 15 = x + 21, what is x? (a) 18 (b) 3 (c) 4 (d) 5
  30. 30.If x/3 + 11 = 21, what is x? (a) 52 (b) 10 (c) 96 (d) 30
  31. 31.If 3x + 9 = 45, what is x? (a) 18 (b) 12 (c) 13 (d) 36
  32. 32.If 3x + 7 = x + 15, what is x? (a) 2 (b) 5 (c) 11 (d) 4
  33. 33.If 9x + 15 = 8x + 22, what is x? (a) 8 (b) 7 (c) 37 (d) 9
  34. 34.If x/6 + 13 = 21, what is x? (a) 48 (b) 204 (c) 113 (d) 8
  35. 35.If 4x + 7 = 39, what is x? (a) 32 (b) 7 (c) 8 (d) 9
  36. 36.If 5x + 16 = 3x + 24, what is x? (a) 1 (b) 4 (c) 20 (d) 5
  37. 37.If 2x − 3 = 1, what is x? (a) 1 (b) 2 (c) 3 (d) 4
  38. 38.If 9x − 41 = 31, what is x? (a) 9 (b) 7 (c) 8 (d) 72
  39. 39.If 4x + 11 = 35, what is x? (a) 7 (b) 6 (c) 24 (d) 5
  40. 40.If 3x − 5 = 1, what is x? (a) 1 (b) 3 (c) 2 (d) 6

Answer key

  1. 22
  2. 10
  3. 6
  4. 3
  5. 10
  6. 5
  7. 21
  8. 9
  9. 13
  10. 11
  11. 13
  12. 54
  13. 8
  14. 7
  15. 44
  16. 2
  17. 9
  18. 24
  19. 5
  20. 13
  21. 12
  22. 6
  23. 6
  24. 30
  25. 5
  26. 9
  27. 3
  28. 3
  29. 3
  30. 30
  31. 12
  32. 4
  33. 7
  34. 48
  35. 8
  36. 4
  37. 2
  38. 8
  39. 6
  40. 2

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