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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 405 · 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 + 11 = 67, what is x? (a) 6 (b) 56 (c) 7 (d) 8
  2. 2.If 9x + 1 = 37, what is x? (a) 4 (b) 36 (c) 5 (d) 3
  3. 3.If 5x − 12 = 33, what is x? (a) 10 (b) 45 (c) 8 (d) 9
  4. 4.If 3x + 19 = x + 27, what is x? (a) 23 (b) 4 (c) 5 (d) 2
  5. 5.If 3x + 27 = 60, what is x? (a) 11 (b) 29 (c) 33 (d) 12
  6. 6.If 4x + 13 = 53, what is x? (a) 9 (b) 10 (c) 40 (d) 11
  7. 7.If 3x − 38 = 4, what is x? (a) 13 (b) 42 (c) 14 (d) 15
  8. 8.If 9x − 53 = 1, what is x? (a) 5 (b) 7 (c) 54 (d) 6
  9. 9.If 8x − 13 = 3, what is x? (a) 1 (b) 3 (c) 16 (d) 2
  10. 10.If x/4 + 10 = 15, what is x? (a) 5 (b) 50 (c) 100 (d) 20
  11. 11.If 5x + 19 = 2x + 28, what is x? (a) 3 (b) 5 (c) 2 (d) 4
  12. 12.If 5x + 19 = 54, what is x? (a) 8 (b) 6 (c) 35 (d) 7
  13. 13.If 8x + 1 = 2x + 49, what is x? (a) 9 (b) 10 (c) 8 (d) 7
  14. 14.If 3x + 18 = x + 20, what is x? (a) 19 (b) 1 (c) 3 (d) 2
  15. 15.If 5x + 8 = 33, what is x? (a) 6 (b) 25 (c) 4 (d) 5
  16. 16.If x/2 + 7 = 13, what is x? (a) 12 (b) 19 (c) 40 (d) 6
  17. 17.If x/6 + 15 = 23, what is x? (a) 228 (b) 48 (c) 8 (d) 123
  18. 18.If 5x − 45 = 15, what is x? (a) 13 (b) 60 (c) 11 (d) 12
  19. 19.If 2x + 5 = 19, what is x? (a) 8 (b) 14 (c) 12 (d) 7
  20. 20.If 6x + 4 = 88, what is x? (a) 13 (b) 84 (c) 15 (d) 14
  21. 21.If 7x + 20 = 6x + 21, what is x? (a) 1 (b) 41 (c) 2 (d) 3
  22. 22.If 8x + 8 = 4x + 16, what is x? (a) 3 (b) 6 (c) 2 (d) 4
  23. 23.If 9x + 2 = 56, what is x? (a) 7 (b) 6 (c) 5 (d) 54
  24. 24.If 5x + 10 = x + 30, what is x? (a) 6 (b) 7 (c) 5 (d) 10
  25. 25.If 6x + 6 = x + 21, what is x? (a) 2 (b) 3 (c) 5 (d) 4
  26. 26.If 8x + 10 = 82, what is x? (a) 9 (b) 10 (c) 8 (d) 72
  27. 27.If 7x − 62 = 1, what is x? (a) 10 (b) 9 (c) 63 (d) 8
  28. 28.If x/5 + 6 = 9, what is x? (a) 15 (b) 75 (c) 39 (d) 3
  29. 29.If 2x + 29 = 37, what is x? (a) 33 (b) 4 (c) 5 (d) 8
  30. 30.If 3x + 14 = 26, what is x? (a) 3 (b) 4 (c) 12 (d) 5
  31. 31.If 6x − 7 = 5, what is x? (a) 12 (b) 2 (c) 3 (d) 1
  32. 32.If 6x + 12 = x + 17, what is x? (a) 4 (b) 3 (c) 1 (d) 2
  33. 33.If 8x + 8 = 5x + 44, what is x? (a) 13 (b) 14 (c) 12 (d) 11
  34. 34.If 5x − 17 = 8, what is x? (a) 4 (b) 5 (c) 25 (d) 6
  35. 35.If 4x + 3 = x + 9, what is x? (a) 3 (b) 2 (c) 1 (d) 4
  36. 36.If 4x − 14 = 2, what is x? (a) 3 (b) 4 (c) 5 (d) 16
  37. 37.If 3x + 9 = 33, what is x? (a) 14 (b) 24 (c) 9 (d) 8
  38. 38.If x/2 + 8 = 16, what is x? (a) 24 (b) 48 (c) 8 (d) 16
  39. 39.If 7x + 20 = 2x + 30, what is x? (a) 4 (b) 10 (c) 2 (d) 3
  40. 40.If x/2 + 7 = 19, what is x? (a) 31 (b) 12 (c) 24 (d) 52

Answer key

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

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