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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 231 · 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 7x + 22 = 50, what is x? (a) 3 (b) 4 (c) 5 (d) 28
  2. 2.If 4x + 19 = 2x + 27, what is x? (a) 6 (b) 23 (c) 4 (d) 5
  3. 3.If 9x − 90 = 45, what is x? (a) 16 (b) 14 (c) 15 (d) 135
  4. 4.If 5x − 23 = 12, what is x? (a) 8 (b) 7 (c) 6 (d) 35
  5. 5.If 3x − 1 = 17, what is x? (a) 7 (b) 18 (c) 6 (d) 5
  6. 6.If 8x + 27 = 91, what is x? (a) 64 (b) 7 (c) 8 (d) 9
  7. 7.If x/3 + 5 = 11, what is x? (a) 18 (b) 48 (c) 28 (d) 6
  8. 8.If 4x + 19 = x + 28, what is x? (a) 4 (b) 5 (c) 3 (d) 2
  9. 9.If 9x − 12 = 6, what is x? (a) 2 (b) 1 (c) 3 (d) 18
  10. 10.If 4x + 27 = 51, what is x? (a) 5 (b) 7 (c) 24 (d) 6
  11. 11.If 4x − 1 = 15, what is x? (a) 5 (b) 16 (c) 3 (d) 4
  12. 12.If 7x − 35 = 42, what is x? (a) 12 (b) 1 (c) 77 (d) 11
  13. 13.If 7x + 19 = x + 55, what is x? (a) 6 (b) 8 (c) 7 (d) 5
  14. 14.If 5x − 57 = 18, what is x? (a) 75 (b) 14 (c) 15 (d) 16
  15. 15.If 5x + 23 = 43, what is x? (a) 5 (b) 4 (c) 20 (d) 3
  16. 16.If 6x + 13 = 5x + 25, what is x? (a) 38 (b) 13 (c) 12 (d) 14
  17. 17.If 5x + 5 = 4x + 9, what is x? (a) 14 (b) 5 (c) 4 (d) 6
  18. 18.If x/5 + 6 = 14, what is x? (a) 40 (b) 64 (c) 8 (d) 100
  19. 19.If 8x − 85 = 11, what is x? (a) 96 (b) 12 (c) 11 (d) 13
  20. 20.If 5x − 42 = 8, what is x? (a) 11 (b) 10 (c) 9 (d) 50
  21. 21.If 9x + 5 = 32, what is x? (a) 3 (b) 4 (c) 2 (d) 27
  22. 22.If 3x − 12 = 21, what is x? (a) 33 (b) 3 (c) 11 (d) 12
  23. 23.If x/5 + 4 = 15, what is x? (a) 11 (b) 95 (c) 71 (d) 55
  24. 24.If x/3 + 1 = 4, what is x? (a) 11 (b) 15 (c) 9 (d) 3
  25. 25.If 6x + 7 = 85, what is x? (a) 78 (b) 14 (c) 12 (d) 13
  26. 26.If 9x + 15 = 96, what is x? (a) 10 (b) 81 (c) 8 (d) 9
  27. 27.If 3x + 20 = 29, what is x? (a) 3 (b) 2 (c) 9 (d) 4
  28. 28.If 9x + 12 = 3x + 60, what is x? (a) 4 (b) 12 (c) 9 (d) 8
  29. 29.If x/3 + 8 = 10, what is x? (a) 6 (b) 2 (c) 22 (d) 54
  30. 30.If 6x + 24 = 96, what is x? (a) 13 (b) 12 (c) 72 (d) 20
  31. 31.If x/3 + 3 = 13, what is x? (a) 30 (b) 10 (c) 36 (d) 48
  32. 32.If 6x − 11 = 67, what is x? (a) 13 (b) 12 (c) 78 (d) 14
  33. 33.If 2x − 13 = 9, what is x? (a) 12 (b) 22 (c) 11 (d) 10
  34. 34.If 7x + 3 = 6x + 5, what is x? (a) 2 (b) 3 (c) 8 (d) 4
  35. 35.If 3x + 12 = x + 34, what is x? (a) 13 (b) 23 (c) 11 (d) 12
  36. 36.If 6x + 28 = 76, what is x? (a) 7 (b) 48 (c) 9 (d) 8
  37. 37.If 8x − 80 = 8, what is x? (a) 11 (b) 10 (c) 12 (d) 88
  38. 38.If x/4 + 15 = 21, what is x? (a) 69 (b) 6 (c) 24 (d) 144
  39. 39.If 4x + 18 = 38, what is x? (a) 5 (b) 14 (c) 6 (d) 20
  40. 40.If 5x − 8 = 7, what is x? (a) 3 (b) 4 (c) 2 (d) 15

Answer key

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

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