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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 136 · 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 9x − 48 = 6, what is x? (a) 54 (b) 5 (c) 6 (d) 7
  2. 2.If 2x − 5 = 11, what is x? (a) 16 (b) 9 (c) 8 (d) 3
  3. 3.If x/3 + 14 = 18, what is x? (a) 4 (b) 40 (c) 96 (d) 12
  4. 4.If 7x − 13 = 1, what is x? (a) 3 (b) 1 (c) 14 (d) 2
  5. 5.If x/2 + 15 = 26, what is x? (a) 82 (b) 22 (c) 37 (d) 11
  6. 6.If 2x − 5 = 7, what is x? (a) 6 (b) 7 (c) 12 (d) 1
  7. 7.If 2x − 16 = 2, what is x? (a) 18 (b) 10 (c) 8 (d) 9
  8. 8.If x/5 + 14 = 26, what is x? (a) 116 (b) 200 (c) 12 (d) 60
  9. 9.If 7x − 104 = 1, what is x? (a) 105 (b) 16 (c) 14 (d) 15
  10. 10.If x/2 + 8 = 15, what is x? (a) 46 (b) 7 (c) 14 (d) 22
  11. 11.If 6x + 3 = 3x + 27, what is x? (a) 9 (b) 7 (c) 10 (d) 8
  12. 12.If 5x − 53 = 12, what is x? (a) 65 (b) 13 (c) 12 (d) 14
  13. 13.If 7x + 16 = 51, what is x? (a) 35 (b) 4 (c) 6 (d) 5
  14. 14.If 6x − 19 = 11, what is x? (a) 6 (b) 4 (c) 30 (d) 5
  15. 15.If 3x + 2 = 32, what is x? (a) 10 (b) 9 (c) 11 (d) 30
  16. 16.If 3x + 1 = x + 13, what is x? (a) 7 (b) 3 (c) 8 (d) 6
  17. 17.If 9x − 76 = 14, what is x? (a) 11 (b) 10 (c) 9 (d) 90
  18. 18.If x/6 + 4 = 16, what is x? (a) 12 (b) 92 (c) 120 (d) 72
  19. 19.If x/5 + 2 = 10, what is x? (a) 40 (b) 60 (c) 48 (d) 8
  20. 20.If x/4 + 13 = 17, what is x? (a) 55 (b) 120 (c) 16 (d) 4
  21. 21.If x/5 + 13 = 25, what is x? (a) 60 (b) 190 (c) 112 (d) 12
  22. 22.If x/6 + 5 = 11, what is x? (a) 36 (b) 61 (c) 6 (d) 96
  23. 23.If 7x − 35 = 21, what is x? (a) 8 (b) 56 (c) 7 (d) 9
  24. 24.If 3x − 42 = 3, what is x? (a) 45 (b) 15 (c) 16 (d) 14
  25. 25.If 4x + 8 = 20, what is x? (a) 7 (b) 12 (c) 4 (d) 3
  26. 26.If 9x + 2 = 128, what is x? (a) 14 (b) 13 (c) 126 (d) 15
  27. 27.If 7x + 5 = 2x + 30, what is x? (a) 6 (b) 5 (c) 4 (d) 7
  28. 28.If x/3 + 1 = 13, what is x? (a) 38 (b) 42 (c) 12 (d) 36
  29. 29.If 4x − 3 = 5, what is x? (a) 3 (b) 1 (c) 8 (d) 2
  30. 30.If 2x + 11 = 23, what is x? (a) 7 (b) 17 (c) 6 (d) 12
  31. 31.If x/5 + 2 = 6, what is x? (a) 40 (b) 20 (c) 28 (d) 4
  32. 32.If 9x + 7 = 124, what is x? (a) 12 (b) 13 (c) 117 (d) 14
  33. 33.If 5x + 24 = 84, what is x? (a) 12 (b) 11 (c) 13 (d) 60
  34. 34.If 2x − 4 = 10, what is x? (a) 14 (b) 3 (c) 7 (d) 8
  35. 35.If 5x − 29 = 46, what is x? (a) 75 (b) 16 (c) 14 (d) 15
  36. 36.If x/3 + 8 = 10, what is x? (a) 2 (b) 22 (c) 6 (d) 54
  37. 37.If x/2 + 7 = 13, what is x? (a) 6 (b) 40 (c) 19 (d) 12
  38. 38.If 6x + 3 = 33, what is x? (a) 6 (b) 30 (c) 4 (d) 5
  39. 39.If 5x − 7 = 13, what is x? (a) 4 (b) 3 (c) 20 (d) 5
  40. 40.If x/2 + 13 = 18, what is x? (a) 62 (b) 23 (c) 10 (d) 5

Answer key

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

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