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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 618 · 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 − 14 = 56, what is x? (a) 70 (b) 14 (c) 13 (d) 15
  2. 2.If 3x + 5 = 2x + 11, what is x? (a) 6 (b) 8 (c) 16 (d) 7
  3. 3.If x/4 + 11 = 16, what is x? (a) 5 (b) 20 (c) 53 (d) 108
  4. 4.If 3x − 12 = 3, what is x? (a) 4 (b) 15 (c) 5 (d) 6
  5. 5.If 7x − 7 = 42, what is x? (a) 7 (b) 5 (c) 8 (d) 49
  6. 6.If 4x + 4 = 2x + 8, what is x? (a) 6 (b) 4 (c) 3 (d) 2
  7. 7.If 9x − 35 = 1, what is x? (a) 36 (b) 5 (c) 3 (d) 4
  8. 8.If 3x − 5 = 1, what is x? (a) 6 (b) 2 (c) 1 (d) 3
  9. 9.If x/6 + 1 = 6, what is x? (a) 42 (b) 35 (c) 5 (d) 30
  10. 10.If 3x + 22 = 28, what is x? (a) 1 (b) 3 (c) 2 (d) 6
  11. 11.If x/6 + 2 = 5, what is x? (a) 28 (b) 42 (c) 18 (d) 3
  12. 12.If 6x + 9 = 21, what is x? (a) 2 (b) 3 (c) 5 (d) 12
  13. 13.If 7x + 11 = 2x + 36, what is x? (a) 7 (b) 4 (c) 5 (d) 6
  14. 14.If 6x − 9 = 21, what is x? (a) 5 (b) 30 (c) 2 (d) 6
  15. 15.If x/4 + 12 = 17, what is x? (a) 56 (b) 20 (c) 5 (d) 116
  16. 16.If x/3 + 13 = 17, what is x? (a) 4 (b) 38 (c) 12 (d) 90
  17. 17.If 5x + 1 = 31, what is x? (a) 7 (b) 30 (c) 5 (d) 6
  18. 18.If 8x + 7 = 127, what is x? (a) 120 (b) 15 (c) 14 (d) 16
  19. 19.If 9x − 80 = 1, what is x? (a) 10 (b) 81 (c) 9 (d) 8
  20. 20.If 7x + 25 = 60, what is x? (a) 4 (b) 5 (c) 35 (d) 6
  21. 21.If 9x − 3 = 60, what is x? (a) 7 (b) 6 (c) 8 (d) 63
  22. 22.If 3x + 14 = 29, what is x? (a) 4 (b) 15 (c) 6 (d) 5
  23. 23.If 5x + 7 = 52, what is x? (a) 45 (b) 9 (c) 10 (d) 8
  24. 24.If 8x + 4 = 4x + 8, what is x? (a) 1 (b) 2 (c) 4 (d) 3
  25. 25.If 6x − 20 = 10, what is x? (a) 6 (b) 5 (c) 4 (d) 30
  26. 26.If 8x + 19 = 91, what is x? (a) 72 (b) 9 (c) 10 (d) 8
  27. 27.If 3x + 10 = 43, what is x? (a) 11 (b) 12 (c) 10 (d) 33
  28. 28.If 7x + 3 = 3x + 19, what is x? (a) 4 (b) 6 (c) 3 (d) 5
  29. 29.If x/2 + 7 = 12, what is x? (a) 5 (b) 10 (c) 17 (d) 38
  30. 30.If 5x − 7 = 33, what is x? (a) 7 (b) 40 (c) 9 (d) 8
  31. 31.If 7x + 19 = 2x + 79, what is x? (a) 13 (b) 12 (c) 14 (d) 11
  32. 32.If x/2 + 11 = 14, what is x? (a) 6 (b) 3 (c) 17 (d) 50
  33. 33.If x/3 + 8 = 14, what is x? (a) 18 (b) 6 (c) 34 (d) 66
  34. 34.If 8x − 19 = 29, what is x? (a) 6 (b) 48 (c) 5 (d) 7
  35. 35.If 8x + 22 = 86, what is x? (a) 9 (b) 64 (c) 8 (d) 7
  36. 36.If x/6 + 4 = 10, what is x? (a) 56 (b) 6 (c) 36 (d) 84
  37. 37.If 3x + 29 = 41, what is x? (a) 5 (b) 4 (c) 3 (d) 12
  38. 38.If x/5 + 3 = 8, what is x? (a) 55 (b) 5 (c) 37 (d) 25
  39. 39.If 6x + 20 = x + 35, what is x? (a) 3 (b) 11 (c) 5 (d) 4
  40. 40.If 7x + 30 = 44, what is x? (a) 1 (b) 14 (c) 3 (d) 2

Answer key

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

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