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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 619 · 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/5 + 14 = 21, what is x? (a) 7 (b) 91 (c) 175 (d) 35
  2. 2.If 3x + 1 = 16, what is x? (a) 6 (b) 4 (c) 15 (d) 5
  3. 3.If 4x + 3 = 2x + 11, what is x? (a) 6 (b) 7 (c) 5 (d) 4
  4. 4.If 2x + 26 = 54, what is x? (a) 40 (b) 15 (c) 28 (d) 14
  5. 5.If 3x + 8 = 29, what is x? (a) 7 (b) 6 (c) 21 (d) 8
  6. 6.If 5x + 16 = 86, what is x? (a) 15 (b) 14 (c) 70 (d) 13
  7. 7.If 3x + 16 = 40, what is x? (a) 24 (b) 7 (c) 9 (d) 8
  8. 8.If 6x − 15 = 15, what is x? (a) 6 (b) 4 (c) 5 (d) 30
  9. 9.If 4x + 28 = 52, what is x? (a) 20 (b) 24 (c) 7 (d) 6
  10. 10.If 6x − 15 = 21, what is x? (a) 1 (b) 7 (c) 36 (d) 6
  11. 11.If 4x + 19 = x + 25, what is x? (a) 4 (b) 3 (c) 1 (d) 2
  12. 12.If x/2 + 5 = 17, what is x? (a) 12 (b) 44 (c) 24 (d) 29
  13. 13.If 7x + 13 = 34, what is x? (a) 3 (b) 4 (c) 21 (d) 2
  14. 14.If x/6 + 2 = 10, what is x? (a) 72 (b) 58 (c) 8 (d) 48
  15. 15.If 4x − 12 = 4, what is x? (a) 5 (b) 16 (c) 3 (d) 4
  16. 16.If 4x + 5 = 25, what is x? (a) 20 (b) 6 (c) 5 (d) 4
  17. 17.If 5x − 1 = 24, what is x? (a) 25 (b) 6 (c) 4 (d) 5
  18. 18.If x/5 + 10 = 22, what is x? (a) 160 (b) 12 (c) 60 (d) 100
  19. 19.If 3x − 6 = 24, what is x? (a) 6 (b) 30 (c) 10 (d) 11
  20. 20.If 5x + 20 = 30, what is x? (a) 10 (b) 2 (c) 3 (d) 1
  21. 21.If 5x + 17 = 82, what is x? (a) 12 (b) 14 (c) 13 (d) 65
  22. 22.If x/2 + 9 = 11, what is x? (a) 2 (b) 13 (c) 40 (d) 4
  23. 23.If 4x − 57 = 3, what is x? (a) 16 (b) 60 (c) 15 (d) 14
  24. 24.If x/6 + 8 = 15, what is x? (a) 82 (b) 42 (c) 7 (d) 138
  25. 25.If 2x − 4 = 6, what is x? (a) 5 (b) 6 (c) 1 (d) 10
  26. 26.If 5x − 58 = 17, what is x? (a) 14 (b) 15 (c) 16 (d) 75
  27. 27.If 3x + 8 = x + 28, what is x? (a) 18 (b) 10 (c) 5 (d) 11
  28. 28.If 5x + 7 = x + 35, what is x? (a) 9 (b) 8 (c) 6 (d) 7
  29. 29.If 3x + 5 = x + 9, what is x? (a) 3 (b) 7 (c) 1 (d) 2
  30. 30.If 9x + 27 = 99, what is x? (a) 8 (b) 9 (c) 14 (d) 72
  31. 31.If 4x − 12 = 28, what is x? (a) 40 (b) 10 (c) 4 (d) 11
  32. 32.If 4x + 7 = 15, what is x? (a) 1 (b) 3 (c) 8 (d) 2
  33. 33.If 2x + 25 = 41, what is x? (a) 16 (b) 9 (c) 8 (d) 33
  34. 34.If 3x + 8 = 17, what is x? (a) 9 (b) 4 (c) 2 (d) 3
  35. 35.If x/5 + 15 = 26, what is x? (a) 115 (b) 55 (c) 11 (d) 205
  36. 36.If 9x − 3 = 24, what is x? (a) 3 (b) 2 (c) 27 (d) 4
  37. 37.If x/2 + 10 = 13, what is x? (a) 16 (b) 46 (c) 3 (d) 6
  38. 38.If 6x + 8 = 5x + 14, what is x? (a) 22 (b) 7 (c) 6 (d) 8
  39. 39.If 9x − 105 = 21, what is x? (a) 15 (b) 13 (c) 126 (d) 14
  40. 40.If 6x + 17 = 35, what is x? (a) 3 (b) 18 (c) 2 (d) 4

Answer key

  1. 35
  2. 5
  3. 4
  4. 14
  5. 7
  6. 14
  7. 8
  8. 5
  9. 6
  10. 6
  11. 2
  12. 24
  13. 3
  14. 48
  15. 4
  16. 5
  17. 5
  18. 60
  19. 10
  20. 2
  21. 13
  22. 4
  23. 15
  24. 42
  25. 5
  26. 15
  27. 10
  28. 7
  29. 2
  30. 8
  31. 10
  32. 2
  33. 8
  34. 3
  35. 55
  36. 3
  37. 6
  38. 6
  39. 14
  40. 3

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