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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 423 · 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 8x + 12 = 4x + 28, what is x? (a) 6 (b) 5 (c) 4 (d) 10
  2. 2.If x/4 + 2 = 14, what is x? (a) 12 (b) 54 (c) 48 (d) 64
  3. 3.If 8x + 27 = 139, what is x? (a) 15 (b) 13 (c) 14 (d) 112
  4. 4.If 3x + 4 = x + 16, what is x? (a) 6 (b) 10 (c) 7 (d) 3
  5. 5.If 8x + 11 = 7x + 12, what is x? (a) 2 (b) 1 (c) 3 (d) 23
  6. 6.If x/4 + 4 = 6, what is x? (a) 20 (b) 40 (c) 8 (d) 2
  7. 7.If 9x + 2 = 101, what is x? (a) 99 (b) 12 (c) 10 (d) 11
  8. 8.If 6x − 1 = 47, what is x? (a) 8 (b) 9 (c) 7 (d) 48
  9. 9.If 3x − 5 = 31, what is x? (a) 12 (b) 13 (c) 36 (d) 11
  10. 10.If 3x + 27 = 42, what is x? (a) 5 (b) 23 (c) 15 (d) 6
  11. 11.If 8x + 2 = 3x + 52, what is x? (a) 10 (b) 12 (c) 9 (d) 11
  12. 12.If 3x + 1 = 31, what is x? (a) 9 (b) 10 (c) 11 (d) 30
  13. 13.If 6x + 26 = 110, what is x? (a) 84 (b) 13 (c) 15 (d) 14
  14. 14.If 2x − 6 = 10, what is x? (a) 2 (b) 16 (c) 9 (d) 8
  15. 15.If 7x + 16 = 72, what is x? (a) 9 (b) 7 (c) 8 (d) 56
  16. 16.If x/6 + 12 = 22, what is x? (a) 204 (b) 10 (c) 120 (d) 60
  17. 17.If 7x + 2 = 6x + 9, what is x? (a) 8 (b) 9 (c) 11 (d) 7
  18. 18.If 6x + 25 = 115, what is x? (a) 14 (b) 16 (c) 90 (d) 15
  19. 19.If x/3 + 1 = 8, what is x? (a) 23 (b) 21 (c) 7 (d) 27
  20. 20.If 4x + 7 = 47, what is x? (a) 11 (b) 40 (c) 9 (d) 10
  21. 21.If 3x − 9 = 27, what is x? (a) 36 (b) 6 (c) 12 (d) 13
  22. 22.If x/6 + 6 = 11, what is x? (a) 30 (b) 5 (c) 60 (d) 102
  23. 23.If x/3 + 2 = 13, what is x? (a) 37 (b) 33 (c) 11 (d) 45
  24. 24.If 6x + 11 = 35, what is x? (a) 24 (b) 4 (c) 5 (d) 3
  25. 25.If 8x + 15 = 6x + 33, what is x? (a) 10 (b) 24 (c) 11 (d) 9
  26. 26.If 5x − 13 = 22, what is x? (a) 8 (b) 35 (c) 7 (d) 6
  27. 27.If x/5 + 6 = 14, what is x? (a) 100 (b) 40 (c) 8 (d) 64
  28. 28.If x/4 + 14 = 26, what is x? (a) 12 (b) 48 (c) 90 (d) 160
  29. 29.If 8x − 25 = 15, what is x? (a) 6 (b) 5 (c) 40 (d) 4
  30. 30.If 5x + 13 = 2x + 34, what is x? (a) 9 (b) 7 (c) 8 (d) 3
  31. 31.If 7x − 55 = 43, what is x? (a) 15 (b) 14 (c) 13 (d) 98
  32. 32.If x/6 + 5 = 12, what is x? (a) 102 (b) 42 (c) 7 (d) 67
  33. 33.If 2x + 21 = 51, what is x? (a) 36 (b) 30 (c) 16 (d) 15
  34. 34.If x/2 + 2 = 5, what is x? (a) 3 (b) 14 (c) 8 (d) 6
  35. 35.If 4x + 18 = x + 21, what is x? (a) 2 (b) 1 (c) 13 (d) 3
  36. 36.If x/2 + 2 = 4, what is x? (a) 4 (b) 6 (c) 2 (d) 12
  37. 37.If x/3 + 5 = 13, what is x? (a) 54 (b) 24 (c) 34 (d) 8
  38. 38.If 5x + 4 = 39, what is x? (a) 7 (b) 8 (c) 35 (d) 6
  39. 39.If 2x − 11 = 1, what is x? (a) 6 (b) 12 (c) 7 (d) 5
  40. 40.If 4x − 23 = 1, what is x? (a) 7 (b) 5 (c) 24 (d) 6

Answer key

  1. 4
  2. 48
  3. 14
  4. 6
  5. 1
  6. 8
  7. 11
  8. 8
  9. 12
  10. 5
  11. 10
  12. 10
  13. 14
  14. 8
  15. 8
  16. 60
  17. 7
  18. 15
  19. 21
  20. 10
  21. 12
  22. 30
  23. 33
  24. 4
  25. 9
  26. 7
  27. 40
  28. 48
  29. 5
  30. 7
  31. 14
  32. 42
  33. 15
  34. 6
  35. 1
  36. 4
  37. 24
  38. 7
  39. 6
  40. 6

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