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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 376 · 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 4x − 53 = 3, what is x? (a) 15 (b) 14 (c) 13 (d) 56
  2. 2.If 4x + 12 = x + 36, what is x? (a) 10 (b) 8 (c) 9 (d) 16
  3. 3.If x/2 + 10 = 20, what is x? (a) 30 (b) 10 (c) 20 (d) 60
  4. 4.If 2x + 17 = 23, what is x? (a) 4 (b) 3 (c) 6 (d) 20
  5. 5.If 8x + 1 = 6x + 5, what is x? (a) 4 (b) 2 (c) 1 (d) 3
  6. 6.If 4x + 1 = 3x + 11, what is x? (a) 9 (b) 11 (c) 10 (d) 12
  7. 7.If 4x + 14 = 26, what is x? (a) 3 (b) 4 (c) 10 (d) 12
  8. 8.If 2x − 1 = 7, what is x? (a) 5 (b) 8 (c) 4 (d) 3
  9. 9.If 3x − 1 = 14, what is x? (a) 5 (b) 15 (c) 4 (d) 6
  10. 10.If 6x + 11 = x + 46, what is x? (a) 7 (b) 5 (c) 9 (d) 8
  11. 11.If 7x + 17 = 3x + 49, what is x? (a) 9 (b) 10 (c) 8 (d) 7
  12. 12.If 3x + 1 = 40, what is x? (a) 13 (b) 39 (c) 12 (d) 14
  13. 13.If 9x − 3 = 51, what is x? (a) 5 (b) 7 (c) 6 (d) 54
  14. 14.If 8x + 4 = 44, what is x? (a) 40 (b) 4 (c) 5 (d) 6
  15. 15.If 5x + 13 = 33, what is x? (a) 3 (b) 20 (c) 5 (d) 4
  16. 16.If 4x + 12 = x + 33, what is x? (a) 9 (b) 8 (c) 7 (d) 15
  17. 17.If 6x + 14 = x + 29, what is x? (a) 4 (b) 2 (c) 5 (d) 3
  18. 18.If 5x + 3 = 38, what is x? (a) 6 (b) 7 (c) 35 (d) 8
  19. 19.If x/3 + 11 = 13, what is x? (a) 2 (b) 28 (c) 6 (d) 72
  20. 20.If 9x − 14 = 4, what is x? (a) 1 (b) 2 (c) 18 (d) 3
  21. 21.If 6x + 2 = 4x + 8, what is x? (a) 4 (b) 5 (c) 3 (d) 2
  22. 22.If 8x − 56 = 8, what is x? (a) 64 (b) 7 (c) 9 (d) 8
  23. 23.If 6x + 24 = 84, what is x? (a) 18 (b) 11 (c) 10 (d) 60
  24. 24.If x/6 + 9 = 16, what is x? (a) 150 (b) 7 (c) 87 (d) 42
  25. 25.If x/6 + 10 = 20, what is x? (a) 180 (b) 10 (c) 60 (d) 110
  26. 26.If 6x + 7 = x + 42, what is x? (a) 5 (b) 8 (c) 7 (d) 9
  27. 27.If 8x − 16 = 8, what is x? (a) 4 (b) 2 (c) 3 (d) 24
  28. 28.If 7x + 3 = x + 69, what is x? (a) 12 (b) 11 (c) 10 (d) 13
  29. 29.If 3x + 13 = 43, what is x? (a) 11 (b) 30 (c) 10 (d) 9
  30. 30.If x/4 + 13 = 18, what is x? (a) 124 (b) 59 (c) 20 (d) 5
  31. 31.If 4x + 21 = 69, what is x? (a) 11 (b) 13 (c) 48 (d) 12
  32. 32.If 4x + 6 = 3x + 12, what is x? (a) 8 (b) 18 (c) 6 (d) 7
  33. 33.If 2x − 1 = 27, what is x? (a) 14 (b) 15 (c) 28 (d) 13
  34. 34.If x/6 + 2 = 10, what is x? (a) 72 (b) 8 (c) 58 (d) 48
  35. 35.If x/4 + 4 = 12, what is x? (a) 44 (b) 64 (c) 8 (d) 32
  36. 36.If x/2 + 8 = 17, what is x? (a) 26 (b) 9 (c) 18 (d) 50
  37. 37.If 9x − 24 = 12, what is x? (a) 5 (b) 36 (c) 4 (d) 3
  38. 38.If x/6 + 15 = 17, what is x? (a) 2 (b) 87 (c) 192 (d) 12
  39. 39.If 8x + 17 = 2x + 41, what is x? (a) 3 (b) 6 (c) 4 (d) 5
  40. 40.If x/6 + 14 = 16, what is x? (a) 2 (b) 82 (c) 180 (d) 12

Answer key

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

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