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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 124 · 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 + 14 = x + 46, what is x? (a) 8 (b) 10 (c) 15 (d) 9
  2. 2.If x/3 + 8 = 18, what is x? (a) 78 (b) 46 (c) 10 (d) 30
  3. 3.If 8x + 16 = 4x + 40, what is x? (a) 2 (b) 14 (c) 7 (d) 6
  4. 4.If 4x + 1 = 41, what is x? (a) 40 (b) 9 (c) 11 (d) 10
  5. 5.If 6x + 16 = 5x + 28, what is x? (a) 44 (b) 13 (c) 12 (d) 14
  6. 6.If x/4 + 4 = 8, what is x? (a) 16 (b) 4 (c) 28 (d) 48
  7. 7.If 6x + 14 = 3x + 32, what is x? (a) 8 (b) 6 (c) 2 (d) 7
  8. 8.If x/4 + 15 = 17, what is x? (a) 8 (b) 53 (c) 2 (d) 128
  9. 9.If 6x + 23 = 41, what is x? (a) 3 (b) 2 (c) 4 (d) 18
  10. 10.If 9x − 23 = 103, what is x? (a) 15 (b) 126 (c) 14 (d) 13
  11. 11.If 5x − 40 = 5, what is x? (a) 9 (b) 8 (c) 45 (d) 10
  12. 12.If 4x + 11 = 3x + 19, what is x? (a) 30 (b) 8 (c) 10 (d) 9
  13. 13.If 6x + 14 = 32, what is x? (a) 4 (b) 3 (c) 18 (d) 2
  14. 14.If x/5 + 15 = 26, what is x? (a) 115 (b) 205 (c) 55 (d) 11
  15. 15.If 9x + 3 = 4x + 43, what is x? (a) 7 (b) 8 (c) 10 (d) 9
  16. 16.If 2x − 6 = 6, what is x? (a) 7 (b) 5 (c) 6 (d) 12
  17. 17.If x/5 + 6 = 12, what is x? (a) 30 (b) 6 (c) 90 (d) 54
  18. 18.If 2x + 4 = 28, what is x? (a) 24 (b) 12 (c) 16 (d) 13
  19. 19.If 5x + 1 = 2x + 37, what is x? (a) 11 (b) 14 (c) 12 (d) 13
  20. 20.If 8x − 43 = 45, what is x? (a) 12 (b) 11 (c) 10 (d) 88
  21. 21.If 7x − 24 = 32, what is x? (a) 8 (b) 56 (c) 7 (d) 9
  22. 22.If 8x + 15 = x + 36, what is x? (a) 2 (b) 3 (c) 5 (d) 4
  23. 23.If 9x − 63 = 9, what is x? (a) 8 (b) 72 (c) 9 (d) 7
  24. 24.If 9x + 5 = 8x + 9, what is x? (a) 4 (b) 5 (c) 6 (d) 14
  25. 25.If x/3 + 4 = 6, what is x? (a) 14 (b) 2 (c) 30 (d) 6
  26. 26.If x/2 + 6 = 8, what is x? (a) 2 (b) 10 (c) 4 (d) 28
  27. 27.If x/5 + 4 = 13, what is x? (a) 85 (b) 45 (c) 9 (d) 61
  28. 28.If 7x + 27 = 41, what is x? (a) 14 (b) 2 (c) 1 (d) 3
  29. 29.If 7x + 6 = 3x + 10, what is x? (a) 1 (b) 3 (c) 2 (d) 4
  30. 30.If x/5 + 5 = 15, what is x? (a) 100 (b) 50 (c) 10 (d) 70
  31. 31.If 4x − 7 = 1, what is x? (a) 1 (b) 8 (c) 3 (d) 2
  32. 32.If 9x + 19 = 4x + 24, what is x? (a) 3 (b) 4 (c) 2 (d) 1
  33. 33.If 5x + 10 = 2x + 34, what is x? (a) 9 (b) 10 (c) 8 (d) 7
  34. 34.If 3x + 10 = 2x + 14, what is x? (a) 5 (b) 6 (c) 24 (d) 4
  35. 35.If x/5 + 12 = 14, what is x? (a) 10 (b) 130 (c) 58 (d) 2
  36. 36.If 7x + 16 = 86, what is x? (a) 70 (b) 9 (c) 10 (d) 11
  37. 37.If 5x + 2 = 2x + 14, what is x? (a) 6 (b) 4 (c) 3 (d) 5
  38. 38.If x/5 + 10 = 20, what is x? (a) 10 (b) 50 (c) 90 (d) 150
  39. 39.If 4x + 10 = x + 37, what is x? (a) 10 (b) 11 (c) 9 (d) 8
  40. 40.If 9x + 10 = 7x + 16, what is x? (a) 3 (b) 4 (c) 13 (d) 5

Answer key

  1. 8
  2. 30
  3. 6
  4. 10
  5. 12
  6. 16
  7. 6
  8. 8
  9. 3
  10. 14
  11. 9
  12. 8
  13. 3
  14. 55
  15. 8
  16. 6
  17. 30
  18. 12
  19. 12
  20. 11
  21. 8
  22. 3
  23. 8
  24. 4
  25. 6
  26. 4
  27. 45
  28. 2
  29. 1
  30. 50
  31. 2
  32. 1
  33. 8
  34. 4
  35. 10
  36. 10
  37. 4
  38. 50
  39. 9
  40. 3

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