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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 208 · 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 2x + 30 = 54, what is x? (a) 12 (b) 13 (c) 42 (d) 24
  2. 2.If 7x − 60 = 3, what is x? (a) 8 (b) 63 (c) 10 (d) 9
  3. 3.If 2x − 8 = 10, what is x? (a) 18 (b) 9 (c) 10 (d) 1
  4. 4.If 3x − 8 = 31, what is x? (a) 39 (b) 14 (c) 13 (d) 12
  5. 5.If 3x + 12 = 42, what is x? (a) 30 (b) 10 (c) 18 (d) 11
  6. 6.If x/6 + 11 = 18, what is x? (a) 42 (b) 174 (c) 7 (d) 97
  7. 7.If 2x + 2 = 12, what is x? (a) 5 (b) 6 (c) 10 (d) 7
  8. 8.If 7x + 30 = 114, what is x? (a) 13 (b) 84 (c) 11 (d) 12
  9. 9.If 5x + 6 = 4x + 7, what is x? (a) 2 (b) 13 (c) 3 (d) 1
  10. 10.If x/2 + 1 = 5, what is x? (a) 12 (b) 8 (c) 4 (d) 9
  11. 11.If 8x − 11 = 21, what is x? (a) 4 (b) 3 (c) 5 (d) 32
  12. 12.If 4x + 13 = 29, what is x? (a) 4 (b) 5 (c) 3 (d) 16
  13. 13.If 5x − 67 = 8, what is x? (a) 16 (b) 75 (c) 14 (d) 15
  14. 14.If 4x + 14 = 2x + 38, what is x? (a) 4 (b) 12 (c) 26 (d) 13
  15. 15.If 4x + 11 = 3x + 18, what is x? (a) 1 (b) 29 (c) 8 (d) 7
  16. 16.If 2x − 1 = 17, what is x? (a) 8 (b) 10 (c) 9 (d) 18
  17. 17.If x/6 + 12 = 17, what is x? (a) 174 (b) 5 (c) 30 (d) 90
  18. 18.If x/6 + 6 = 10, what is x? (a) 96 (b) 4 (c) 24 (d) 54
  19. 19.If 2x + 12 = 16, what is x? (a) 3 (b) 2 (c) 4 (d) 14
  20. 20.If 5x + 1 = 61, what is x? (a) 60 (b) 11 (c) 13 (d) 12
  21. 21.If 4x + 15 = 2x + 33, what is x? (a) 3 (b) 9 (c) 10 (d) 24
  22. 22.If 6x + 9 = 81, what is x? (a) 12 (b) 13 (c) 72 (d) 15
  23. 23.If 5x − 58 = 17, what is x? (a) 14 (b) 75 (c) 15 (d) 16
  24. 24.If 3x + 5 = x + 29, what is x? (a) 6 (b) 12 (c) 13 (d) 17
  25. 25.If 8x + 8 = 80, what is x? (a) 9 (b) 10 (c) 72 (d) 11
  26. 26.If 5x + 25 = 40, what is x? (a) 13 (b) 4 (c) 15 (d) 3
  27. 27.If x/3 + 14 = 17, what is x? (a) 93 (b) 37 (c) 3 (d) 9
  28. 28.If 8x + 9 = 33, what is x? (a) 3 (b) 4 (c) 2 (d) 24
  29. 29.If 4x − 5 = 3, what is x? (a) 1 (b) 8 (c) 3 (d) 2
  30. 30.If 7x + 8 = 36, what is x? (a) 28 (b) 5 (c) 4 (d) 3
  31. 31.If 8x + 5 = 7x + 9, what is x? (a) 6 (b) 5 (c) 4 (d) 14
  32. 32.If 6x − 2 = 16, what is x? (a) 18 (b) 4 (c) 3 (d) 2
  33. 33.If x/6 + 3 = 14, what is x? (a) 102 (b) 11 (c) 66 (d) 81
  34. 34.If 6x + 29 = 53, what is x? (a) 3 (b) 5 (c) 4 (d) 24
  35. 35.If 4x − 11 = 1, what is x? (a) 2 (b) 4 (c) 12 (d) 3
  36. 36.If 4x + 20 = x + 35, what is x? (a) 3 (b) 6 (c) 7 (d) 5
  37. 37.If 7x + 18 = x + 78, what is x? (a) 11 (b) 16 (c) 12 (d) 10
  38. 38.If 8x + 15 = 4x + 47, what is x? (a) 7 (b) 9 (c) 8 (d) 10
  39. 39.If 6x + 7 = x + 22, what is x? (a) 2 (b) 3 (c) 4 (d) 5
  40. 40.If 4x − 9 = 3, what is x? (a) 3 (b) 2 (c) 12 (d) 4

Answer key

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

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