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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 338 · 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 6x + 15 = 45, what is x? (a) 10 (b) 6 (c) 30 (d) 5
  2. 2.If x/3 + 15 = 23, what is x? (a) 24 (b) 54 (c) 8 (d) 114
  3. 3.If 5x + 20 = 60, what is x? (a) 9 (b) 16 (c) 8 (d) 40
  4. 4.If 8x + 4 = 3x + 24, what is x? (a) 5 (b) 3 (c) 4 (d) 6
  5. 5.If 8x − 56 = 32, what is x? (a) 12 (b) 88 (c) 11 (d) 10
  6. 6.If 8x + 12 = 108, what is x? (a) 96 (b) 13 (c) 12 (d) 15
  7. 7.If 9x − 14 = 85, what is x? (a) 10 (b) 11 (c) 99 (d) 12
  8. 8.If 2x + 12 = 32, what is x? (a) 11 (b) 22 (c) 20 (d) 10
  9. 9.If 2x + 21 = 41, what is x? (a) 31 (b) 20 (c) 11 (d) 10
  10. 10.If 4x + 25 = 73, what is x? (a) 48 (b) 11 (c) 12 (d) 13
  11. 11.If 7x − 11 = 10, what is x? (a) 2 (b) 4 (c) 21 (d) 3
  12. 12.If 3x + 5 = x + 9, what is x? (a) 3 (b) 7 (c) 1 (d) 2
  13. 13.If x/4 + 15 = 23, what is x? (a) 77 (b) 32 (c) 8 (d) 152
  14. 14.If x/5 + 7 = 18, what is x? (a) 83 (b) 55 (c) 11 (d) 125
  15. 15.If x/3 + 1 = 5, what is x? (a) 18 (b) 12 (c) 4 (d) 14
  16. 16.If 6x − 12 = 6, what is x? (a) 18 (b) 4 (c) 3 (d) 2
  17. 17.If 2x + 29 = 53, what is x? (a) 13 (b) 41 (c) 12 (d) 24
  18. 18.If 2x + 5 = 29, what is x? (a) 17 (b) 12 (c) 13 (d) 24
  19. 19.If x/3 + 10 = 16, what is x? (a) 78 (b) 38 (c) 18 (d) 6
  20. 20.If 2x + 2 = 26, what is x? (a) 12 (b) 24 (c) 13 (d) 14
  21. 21.If 4x − 13 = 11, what is x? (a) 7 (b) 5 (c) 6 (d) 24
  22. 22.If 7x + 6 = 41, what is x? (a) 4 (b) 35 (c) 6 (d) 5
  23. 23.If 2x − 3 = 1, what is x? (a) 3 (b) 2 (c) 4 (d) 1
  24. 24.If 8x − 5 = 27, what is x? (a) 4 (b) 5 (c) 3 (d) 32
  25. 25.If x/4 + 7 = 12, what is x? (a) 76 (b) 20 (c) 41 (d) 5
  26. 26.If 8x + 18 = 98, what is x? (a) 11 (b) 9 (c) 10 (d) 80
  27. 27.If x/3 + 4 = 12, what is x? (a) 32 (b) 24 (c) 48 (d) 8
  28. 28.If 2x − 3 = 25, what is x? (a) 28 (b) 11 (c) 15 (d) 14
  29. 29.If 7x + 3 = x + 51, what is x? (a) 6 (b) 9 (c) 8 (d) 10
  30. 30.If x/3 + 14 = 19, what is x? (a) 15 (b) 5 (c) 43 (d) 99
  31. 31.If 9x + 6 = 3x + 30, what is x? (a) 4 (b) 2 (c) 5 (d) 6
  32. 32.If 4x − 9 = 47, what is x? (a) 14 (b) 13 (c) 15 (d) 56
  33. 33.If 4x − 30 = 14, what is x? (a) 44 (b) 11 (c) 12 (d) 10
  34. 34.If 7x − 1 = 20, what is x? (a) 2 (b) 4 (c) 3 (d) 21
  35. 35.If 3x + 11 = 29, what is x? (a) 18 (b) 7 (c) 5 (d) 6
  36. 36.If 4x − 7 = 5, what is x? (a) 12 (b) 2 (c) 3 (d) 4
  37. 37.If 2x + 27 = 51, what is x? (a) 24 (b) 39 (c) 13 (d) 12
  38. 38.If 9x + 17 = 62, what is x? (a) 6 (b) 45 (c) 4 (d) 5
  39. 39.If x/4 + 7 = 17, what is x? (a) 96 (b) 10 (c) 40 (d) 61
  40. 40.If 3x − 7 = 8, what is x? (a) 6 (b) 4 (c) 15 (d) 5

Answer key

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

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