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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 809 · 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 5x + 6 = 4x + 14, what is x? (a) 10 (b) 8 (c) 20 (d) 9
  2. 2.If x/3 + 8 = 13, what is x? (a) 63 (b) 5 (c) 31 (d) 15
  3. 3.If x/3 + 2 = 5, what is x? (a) 13 (b) 3 (c) 21 (d) 9
  4. 4.If 6x + 8 = 5x + 20, what is x? (a) 12 (b) 28 (c) 14 (d) 13
  5. 5.If 9x − 9 = 36, what is x? (a) 5 (b) 45 (c) 6 (d) 3
  6. 6.If 9x + 6 = 33, what is x? (a) 2 (b) 27 (c) 3 (d) 4
  7. 7.If 2x + 22 = 28, what is x? (a) 6 (b) 3 (c) 4 (d) 25
  8. 8.If x/5 + 8 = 15, what is x? (a) 115 (b) 67 (c) 7 (d) 35
  9. 9.If 8x + 2 = 82, what is x? (a) 9 (b) 80 (c) 11 (d) 10
  10. 10.If 6x + 10 = 4x + 34, what is x? (a) 14 (b) 22 (c) 12 (d) 13
  11. 11.If 8x − 17 = 31, what is x? (a) 6 (b) 48 (c) 5 (d) 7
  12. 12.If 2x − 4 = 20, what is x? (a) 13 (b) 12 (c) 8 (d) 24
  13. 13.If x/6 + 7 = 16, what is x? (a) 89 (b) 138 (c) 9 (d) 54
  14. 14.If x/5 + 1 = 10, what is x? (a) 9 (b) 49 (c) 55 (d) 45
  15. 15.If 5x − 7 = 68, what is x? (a) 15 (b) 75 (c) 16 (d) 14
  16. 16.If 6x + 6 = 4x + 30, what is x? (a) 12 (b) 13 (c) 18 (d) 14
  17. 17.If 4x + 2 = 50, what is x? (a) 11 (b) 12 (c) 13 (d) 48
  18. 18.If 6x + 11 = 41, what is x? (a) 30 (b) 4 (c) 5 (d) 6
  19. 19.If 3x − 2 = 7, what is x? (a) 3 (b) 4 (c) 9 (d) 2
  20. 20.If x/2 + 11 = 15, what is x? (a) 52 (b) 4 (c) 19 (d) 8
  21. 21.If 4x − 28 = 4, what is x? (a) 7 (b) 9 (c) 32 (d) 8
  22. 22.If 6x − 48 = 30, what is x? (a) 12 (b) 78 (c) 13 (d) 14
  23. 23.If 9x − 57 = 69, what is x? (a) 13 (b) 14 (c) 15 (d) 126
  24. 24.If x/6 + 15 = 20, what is x? (a) 105 (b) 5 (c) 30 (d) 210
  25. 25.If x/5 + 10 = 22, what is x? (a) 160 (b) 100 (c) 60 (d) 12
  26. 26.If x/3 + 8 = 11, what is x? (a) 57 (b) 9 (c) 25 (d) 3
  27. 27.If 5x − 58 = 7, what is x? (a) 65 (b) 14 (c) 12 (d) 13
  28. 28.If x/3 + 13 = 19, what is x? (a) 6 (b) 96 (c) 18 (d) 44
  29. 29.If 8x − 12 = 60, what is x? (a) 10 (b) 9 (c) 72 (d) 6
  30. 30.If 9x + 12 = 4x + 32, what is x? (a) 6 (b) 5 (c) 4 (d) 3
  31. 31.If 6x + 10 = 2x + 22, what is x? (a) 8 (b) 3 (c) 4 (d) 5
  32. 32.If 7x + 13 = x + 37, what is x? (a) 3 (b) 4 (c) 6 (d) 5
  33. 33.If x/3 + 4 = 13, what is x? (a) 51 (b) 27 (c) 35 (d) 9
  34. 34.If x/2 + 15 = 27, what is x? (a) 12 (b) 84 (c) 39 (d) 24
  35. 35.If 3x − 14 = 1, what is x? (a) 5 (b) 15 (c) 4 (d) 6
  36. 36.If 6x + 4 = 82, what is x? (a) 13 (b) 14 (c) 78 (d) 12
  37. 37.If 3x + 15 = 2x + 20, what is x? (a) 1 (b) 35 (c) 5 (d) 6
  38. 38.If 3x − 4 = 38, what is x? (a) 42 (b) 14 (c) 13 (d) 15
  39. 39.If 4x + 25 = 65, what is x? (a) 11 (b) 9 (c) 40 (d) 10
  40. 40.If 8x + 10 = 3x + 60, what is x? (a) 11 (b) 10 (c) 12 (d) 14

Answer key

  1. 8
  2. 15
  3. 9
  4. 12
  5. 5
  6. 3
  7. 3
  8. 35
  9. 10
  10. 12
  11. 6
  12. 12
  13. 54
  14. 45
  15. 15
  16. 12
  17. 12
  18. 5
  19. 3
  20. 8
  21. 8
  22. 13
  23. 14
  24. 30
  25. 60
  26. 9
  27. 13
  28. 18
  29. 9
  30. 4
  31. 3
  32. 4
  33. 27
  34. 24
  35. 5
  36. 13
  37. 5
  38. 14
  39. 10
  40. 10

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