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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 588 · 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 + 4 = 15, what is x? (a) 95 (b) 55 (c) 11 (d) 71
  2. 2.If 4x + 20 = 2x + 38, what is x? (a) 9 (b) 29 (c) 3 (d) 10
  3. 3.If 2x + 16 = 26, what is x? (a) 6 (b) 10 (c) 5 (d) 21
  4. 4.If 3x + 3 = 2x + 15, what is x? (a) 12 (b) 14 (c) 13 (d) 18
  5. 5.If 5x − 12 = 13, what is x? (a) 25 (b) 5 (c) 4 (d) 6
  6. 6.If 9x + 27 = 54, what is x? (a) 9 (b) 4 (c) 3 (d) 27
  7. 7.If 5x − 4 = 6, what is x? (a) 10 (b) 1 (c) 3 (d) 2
  8. 8.If 4x − 36 = 4, what is x? (a) 9 (b) 10 (c) 40 (d) 11
  9. 9.If x/2 + 1 = 12, what is x? (a) 26 (b) 11 (c) 23 (d) 22
  10. 10.If 6x + 2 = 74, what is x? (a) 13 (b) 11 (c) 12 (d) 72
  11. 11.If 3x − 18 = 3, what is x? (a) 21 (b) 8 (c) 6 (d) 7
  12. 12.If 9x + 6 = 5x + 22, what is x? (a) 5 (b) 7 (c) 6 (d) 4
  13. 13.If 4x − 20 = 36, what is x? (a) 15 (b) 14 (c) 4 (d) 56
  14. 14.If 9x + 22 = 67, what is x? (a) 5 (b) 4 (c) 45 (d) 6
  15. 15.If 4x + 6 = 22, what is x? (a) 5 (b) 7 (c) 16 (d) 4
  16. 16.If 9x + 8 = 44, what is x? (a) 4 (b) 5 (c) 3 (d) 36
  17. 17.If 9x + 5 = 113, what is x? (a) 12 (b) 108 (c) 13 (d) 11
  18. 18.If 6x − 47 = 19, what is x? (a) 12 (b) 10 (c) 11 (d) 66
  19. 19.If 7x + 5 = 54, what is x? (a) 49 (b) 8 (c) 7 (d) 6
  20. 20.If 3x + 8 = 17, what is x? (a) 9 (b) 2 (c) 3 (d) 4
  21. 21.If 8x + 28 = 52, what is x? (a) 24 (b) 3 (c) 10 (d) 4
  22. 22.If 6x − 5 = 55, what is x? (a) 60 (b) 10 (c) 11 (d) 9
  23. 23.If 4x + 4 = 3x + 14, what is x? (a) 12 (b) 10 (c) 18 (d) 11
  24. 24.If 8x + 21 = 53, what is x? (a) 32 (b) 5 (c) 3 (d) 4
  25. 25.If x/6 + 13 = 21, what is x? (a) 204 (b) 113 (c) 48 (d) 8
  26. 26.If 2x + 12 = 22, what is x? (a) 6 (b) 5 (c) 10 (d) 17
  27. 27.If 8x + 2 = 18, what is x? (a) 2 (b) 1 (c) 3 (d) 16
  28. 28.If 2x − 3 = 23, what is x? (a) 10 (b) 26 (c) 14 (d) 13
  29. 29.If 3x + 14 = x + 26, what is x? (a) 7 (b) 20 (c) 6 (d) 3
  30. 30.If 5x + 15 = x + 39, what is x? (a) 8 (b) 4 (c) 6 (d) 7
  31. 31.If 7x + 3 = 6x + 6, what is x? (a) 3 (b) 9 (c) 4 (d) 5
  32. 32.If 3x + 2 = x + 10, what is x? (a) 5 (b) 4 (c) 2 (d) 6
  33. 33.If 8x + 3 = 91, what is x? (a) 10 (b) 88 (c) 12 (d) 11
  34. 34.If 5x − 21 = 34, what is x? (a) 10 (b) 12 (c) 55 (d) 11
  35. 35.If 4x − 4 = 16, what is x? (a) 20 (b) 5 (c) 6 (d) 3
  36. 36.If x/6 + 10 = 21, what is x? (a) 66 (b) 11 (c) 116 (d) 186
  37. 37.If x/4 + 4 = 6, what is x? (a) 2 (b) 40 (c) 20 (d) 8
  38. 38.If 6x + 14 = 44, what is x? (a) 30 (b) 5 (c) 6 (d) 4
  39. 39.If x/6 + 4 = 11, what is x? (a) 62 (b) 90 (c) 7 (d) 42
  40. 40.If 8x − 67 = 45, what is x? (a) 13 (b) 15 (c) 14 (d) 112

Answer key

  1. 55
  2. 9
  3. 5
  4. 12
  5. 5
  6. 3
  7. 2
  8. 10
  9. 22
  10. 12
  11. 7
  12. 4
  13. 14
  14. 5
  15. 4
  16. 4
  17. 12
  18. 11
  19. 7
  20. 3
  21. 3
  22. 10
  23. 10
  24. 4
  25. 48
  26. 5
  27. 2
  28. 13
  29. 6
  30. 6
  31. 3
  32. 4
  33. 11
  34. 11
  35. 5
  36. 66
  37. 8
  38. 5
  39. 42
  40. 14

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