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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 673 · 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 − 6 = 2, what is x? (a) 4 (b) 5 (c) 8 (d) 3
  2. 2.If 9x + 3 = 111, what is x? (a) 12 (b) 108 (c) 11 (d) 13
  3. 3.If 5x + 2 = 67, what is x? (a) 13 (b) 65 (c) 14 (d) 12
  4. 4.If 7x + 11 = 25, what is x? (a) 2 (b) 1 (c) 3 (d) 14
  5. 5.If x/2 + 6 = 8, what is x? (a) 10 (b) 28 (c) 4 (d) 2
  6. 6.If 2x + 30 = 52, what is x? (a) 12 (b) 41 (c) 22 (d) 11
  7. 7.If 6x + 7 = 5x + 15, what is x? (a) 8 (b) 10 (c) 22 (d) 9
  8. 8.If x/4 + 10 = 15, what is x? (a) 5 (b) 50 (c) 20 (d) 100
  9. 9.If 8x + 9 = 5x + 45, what is x? (a) 14 (b) 12 (c) 18 (d) 13
  10. 10.If 8x − 56 = 16, what is x? (a) 10 (b) 72 (c) 8 (d) 9
  11. 11.If 2x − 1 = 19, what is x? (a) 9 (b) 10 (c) 20 (d) 11
  12. 12.If 3x + 9 = 45, what is x? (a) 36 (b) 18 (c) 12 (d) 13
  13. 13.If x/2 + 15 = 27, what is x? (a) 84 (b) 39 (c) 12 (d) 24
  14. 14.If 7x + 10 = 2x + 25, what is x? (a) 7 (b) 3 (c) 4 (d) 5
  15. 15.If 6x + 3 = 81, what is x? (a) 12 (b) 78 (c) 14 (d) 13
  16. 16.If x/2 + 2 = 7, what is x? (a) 5 (b) 12 (c) 10 (d) 18
  17. 17.If 5x + 7 = 27, what is x? (a) 3 (b) 4 (c) 5 (d) 20
  18. 18.If 7x + 16 = 37, what is x? (a) 3 (b) 4 (c) 21 (d) 2
  19. 19.If x/4 + 7 = 17, what is x? (a) 61 (b) 10 (c) 40 (d) 96
  20. 20.If 6x + 3 = x + 23, what is x? (a) 6 (b) 5 (c) 3 (d) 4
  21. 21.If x/5 + 13 = 16, what is x? (a) 67 (b) 3 (c) 15 (d) 145
  22. 22.If 5x + 21 = 41, what is x? (a) 3 (b) 20 (c) 4 (d) 5
  23. 23.If x/6 + 6 = 13, what is x? (a) 42 (b) 7 (c) 72 (d) 114
  24. 24.If 4x + 1 = x + 28, what is x? (a) 8 (b) 11 (c) 10 (d) 9
  25. 25.If 4x − 37 = 23, what is x? (a) 14 (b) 60 (c) 15 (d) 16
  26. 26.If 3x − 3 = 12, what is x? (a) 15 (b) 6 (c) 5 (d) 3
  27. 27.If 2x + 8 = 24, what is x? (a) 16 (b) 7 (c) 8 (d) 9
  28. 28.If 3x + 13 = 37, what is x? (a) 8 (b) 24 (c) 7 (d) 9
  29. 29.If x/6 + 9 = 21, what is x? (a) 117 (b) 180 (c) 12 (d) 72
  30. 30.If 5x + 13 = 73, what is x? (a) 11 (b) 60 (c) 13 (d) 12
  31. 31.If 4x − 17 = 39, what is x? (a) 56 (b) 14 (c) 13 (d) 15
  32. 32.If 8x − 110 = 10, what is x? (a) 14 (b) 15 (c) 16 (d) 120
  33. 33.If 6x − 14 = 4, what is x? (a) 3 (b) 18 (c) 4 (d) 2
  34. 34.If x/2 + 2 = 4, what is x? (a) 12 (b) 6 (c) 2 (d) 4
  35. 35.If x/4 + 13 = 15, what is x? (a) 112 (b) 8 (c) 2 (d) 47
  36. 36.If 4x + 1 = 37, what is x? (a) 8 (b) 36 (c) 9 (d) 10
  37. 37.If 9x + 7 = 97, what is x? (a) 10 (b) 90 (c) 11 (d) 9
  38. 38.If x/6 + 15 = 25, what is x? (a) 240 (b) 10 (c) 60 (d) 135
  39. 39.If 6x − 2 = 64, what is x? (a) 10 (b) 66 (c) 11 (d) 12
  40. 40.If 5x − 2 = 13, what is x? (a) 2 (b) 4 (c) 3 (d) 15

Answer key

  1. 4
  2. 12
  3. 13
  4. 2
  5. 4
  6. 11
  7. 8
  8. 20
  9. 12
  10. 9
  11. 10
  12. 12
  13. 24
  14. 3
  15. 13
  16. 10
  17. 4
  18. 3
  19. 40
  20. 4
  21. 15
  22. 4
  23. 42
  24. 9
  25. 15
  26. 5
  27. 8
  28. 8
  29. 72
  30. 12
  31. 14
  32. 15
  33. 3
  34. 4
  35. 8
  36. 9
  37. 10
  38. 60
  39. 11
  40. 3

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