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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 438 · 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/4 + 1 = 3, what is x? (a) 16 (b) 11 (c) 2 (d) 8
  2. 2.If 3x − 2 = 37, what is x? (a) 14 (b) 12 (c) 39 (d) 13
  3. 3.If 7x + 14 = 105, what is x? (a) 14 (b) 17 (c) 91 (d) 13
  4. 4.If 6x + 3 = 21, what is x? (a) 2 (b) 4 (c) 18 (d) 3
  5. 5.If 5x − 5 = 5, what is x? (a) 3 (b) 10 (c) 2 (d) 1
  6. 6.If 9x + 22 = 139, what is x? (a) 14 (b) 13 (c) 12 (d) 117
  7. 7.If 9x − 31 = 41, what is x? (a) 72 (b) 7 (c) 9 (d) 8
  8. 8.If 6x − 84 = 6, what is x? (a) 90 (b) 16 (c) 14 (d) 15
  9. 9.If 9x + 1 = 6x + 19, what is x? (a) 7 (b) 6 (c) 5 (d) 8
  10. 10.If 8x + 29 = 149, what is x? (a) 16 (b) 15 (c) 120 (d) 14
  11. 11.If x/5 + 1 = 12, what is x? (a) 11 (b) 59 (c) 65 (d) 55
  12. 12.If 5x + 14 = 3x + 30, what is x? (a) 8 (b) 9 (c) 2 (d) 22
  13. 13.If 7x + 3 = x + 63, what is x? (a) 11 (b) 12 (c) 9 (d) 10
  14. 14.If 8x + 23 = 39, what is x? (a) 2 (b) 16 (c) 1 (d) 3
  15. 15.If 8x + 29 = 141, what is x? (a) 14 (b) 13 (c) 15 (d) 112
  16. 16.If 5x + 2 = 4x + 4, what is x? (a) 2 (b) 4 (c) 3 (d) 6
  17. 17.If 7x + 4 = x + 28, what is x? (a) 6 (b) 3 (c) 5 (d) 4
  18. 18.If 3x + 1 = 37, what is x? (a) 36 (b) 13 (c) 12 (d) 11
  19. 19.If 7x − 10 = 25, what is x? (a) 5 (b) 4 (c) 6 (d) 35
  20. 20.If 4x − 1 = 19, what is x? (a) 5 (b) 20 (c) 4 (d) 6
  21. 21.If 6x − 27 = 3, what is x? (a) 6 (b) 4 (c) 30 (d) 5
  22. 22.If 6x + 19 = 5x + 26, what is x? (a) 8 (b) 9 (c) 7 (d) 45
  23. 23.If 2x + 17 = 37, what is x? (a) 27 (b) 10 (c) 11 (d) 20
  24. 24.If 4x + 7 = x + 37, what is x? (a) 6 (b) 12 (c) 10 (d) 11
  25. 25.If 8x + 20 = 2x + 68, what is x? (a) 10 (b) 7 (c) 9 (d) 8
  26. 26.If 4x − 49 = 7, what is x? (a) 56 (b) 14 (c) 13 (d) 15
  27. 27.If 7x + 28 = 42, what is x? (a) 10 (b) 3 (c) 14 (d) 2
  28. 28.If 3x + 27 = 48, what is x? (a) 25 (b) 21 (c) 7 (d) 8
  29. 29.If 9x + 6 = 5x + 38, what is x? (a) 8 (b) 10 (c) 11 (d) 9
  30. 30.If x/4 + 8 = 17, what is x? (a) 100 (b) 36 (c) 60 (d) 9
  31. 31.If 9x − 40 = 77, what is x? (a) 14 (b) 117 (c) 12 (d) 13
  32. 32.If x/5 + 13 = 24, what is x? (a) 107 (b) 55 (c) 185 (d) 11
  33. 33.If 7x + 18 = 5x + 24, what is x? (a) 5 (b) 3 (c) 21 (d) 4
  34. 34.If 9x + 7 = 4x + 32, what is x? (a) 7 (b) 5 (c) 4 (d) 6
  35. 35.If 7x + 9 = 86, what is x? (a) 10 (b) 77 (c) 11 (d) 12
  36. 36.If 5x + 18 = 3x + 36, what is x? (a) 10 (b) 9 (c) 11 (d) 27
  37. 37.If 9x + 10 = 145, what is x? (a) 14 (b) 16 (c) 15 (d) 135
  38. 38.If 7x + 2 = 16, what is x? (a) 1 (b) 14 (c) 2 (d) 3
  39. 39.If 2x + 25 = 35, what is x? (a) 5 (b) 10 (c) 30 (d) 6
  40. 40.If x/6 + 5 = 9, what is x? (a) 4 (b) 84 (c) 24 (d) 49

Answer key

  1. 8
  2. 13
  3. 13
  4. 3
  5. 2
  6. 13
  7. 8
  8. 15
  9. 6
  10. 15
  11. 55
  12. 8
  13. 10
  14. 2
  15. 14
  16. 2
  17. 4
  18. 12
  19. 5
  20. 5
  21. 5
  22. 7
  23. 10
  24. 10
  25. 8
  26. 14
  27. 2
  28. 7
  29. 8
  30. 36
  31. 13
  32. 55
  33. 3
  34. 5
  35. 11
  36. 9
  37. 15
  38. 2
  39. 5
  40. 24

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