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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 120 · 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 + 10 = 3x + 28, what is x? (a) 19 (b) 9 (c) 10 (d) 11
  2. 2.If 2x − 6 = 2, what is x? (a) 3 (b) 8 (c) 5 (d) 4
  3. 3.If 6x + 13 = 55, what is x? (a) 6 (b) 8 (c) 42 (d) 7
  4. 4.If 7x + 14 = 49, what is x? (a) 35 (b) 9 (c) 6 (d) 5
  5. 5.If 8x + 23 = 143, what is x? (a) 120 (b) 16 (c) 14 (d) 15
  6. 6.If 3x + 5 = x + 9, what is x? (a) 2 (b) 3 (c) 1 (d) 7
  7. 7.If x/5 + 9 = 14, what is x? (a) 25 (b) 115 (c) 61 (d) 5
  8. 8.If 5x − 2 = 38, what is x? (a) 40 (b) 8 (c) 7 (d) 9
  9. 9.If x/6 + 14 = 17, what is x? (a) 3 (b) 88 (c) 18 (d) 186
  10. 10.If x/4 + 5 = 13, what is x? (a) 32 (b) 47 (c) 72 (d) 8
  11. 11.If 3x + 1 = 46, what is x? (a) 16 (b) 45 (c) 14 (d) 15
  12. 12.If 5x − 7 = 53, what is x? (a) 12 (b) 60 (c) 11 (d) 13
  13. 13.If 3x − 11 = 25, what is x? (a) 11 (b) 36 (c) 12 (d) 13
  14. 14.If 2x + 5 = 21, what is x? (a) 9 (b) 8 (c) 13 (d) 16
  15. 15.If 4x − 38 = 10, what is x? (a) 48 (b) 12 (c) 13 (d) 11
  16. 16.If 5x + 2 = x + 46, what is x? (a) 13 (b) 11 (c) 12 (d) 10
  17. 17.If 9x + 3 = 7x + 27, what is x? (a) 14 (b) 12 (c) 13 (d) 15
  18. 18.If x/4 + 3 = 7, what is x? (a) 40 (b) 4 (c) 25 (d) 16
  19. 19.If 9x − 21 = 6, what is x? (a) 4 (b) 3 (c) 27 (d) 2
  20. 20.If 7x + 5 = 5x + 17, what is x? (a) 11 (b) 7 (c) 6 (d) 1
  21. 21.If x/2 + 7 = 11, what is x? (a) 15 (b) 8 (c) 36 (d) 4
  22. 22.If x/4 + 8 = 17, what is x? (a) 9 (b) 60 (c) 100 (d) 36
  23. 23.If x/2 + 11 = 20, what is x? (a) 18 (b) 62 (c) 29 (d) 9
  24. 24.If x/3 + 14 = 22, what is x? (a) 24 (b) 108 (c) 8 (d) 52
  25. 25.If x/3 + 13 = 18, what is x? (a) 41 (b) 93 (c) 15 (d) 5
  26. 26.If 8x + 1 = 81, what is x? (a) 80 (b) 11 (c) 10 (d) 9
  27. 27.If x/6 + 2 = 12, what is x? (a) 70 (b) 84 (c) 10 (d) 60
  28. 28.If 7x − 18 = 3, what is x? (a) 2 (b) 21 (c) 4 (d) 3
  29. 29.If 7x − 20 = 71, what is x? (a) 14 (b) 13 (c) 12 (d) 91
  30. 30.If x/3 + 14 = 18, what is x? (a) 40 (b) 4 (c) 96 (d) 12
  31. 31.If 4x − 5 = 31, what is x? (a) 36 (b) 8 (c) 9 (d) 10
  32. 32.If 6x + 3 = 75, what is x? (a) 13 (b) 11 (c) 12 (d) 72
  33. 33.If 7x − 19 = 51, what is x? (a) 11 (b) 70 (c) 9 (d) 10
  34. 34.If x/2 + 4 = 7, what is x? (a) 22 (b) 10 (c) 3 (d) 6
  35. 35.If 7x − 47 = 44, what is x? (a) 12 (b) 13 (c) 91 (d) 14
  36. 36.If 9x − 22 = 68, what is x? (a) 9 (b) 11 (c) 10 (d) 90
  37. 37.If 8x + 20 = 4x + 44, what is x? (a) 16 (b) 2 (c) 7 (d) 6
  38. 38.If 8x − 53 = 59, what is x? (a) 14 (b) 13 (c) 15 (d) 112
  39. 39.If 7x − 2 = 82, what is x? (a) 84 (b) 11 (c) 13 (d) 12
  40. 40.If 9x + 5 = 2x + 26, what is x? (a) 4 (b) 3 (c) 5 (d) 2

Answer key

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

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