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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 833 · 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 3x + 21 = 42, what is x? (a) 21 (b) 7 (c) 6 (d) 8
  2. 2.If 9x + 16 = 97, what is x? (a) 10 (b) 9 (c) 8 (d) 81
  3. 3.If x/6 + 5 = 13, what is x? (a) 8 (b) 73 (c) 48 (d) 108
  4. 4.If 7x − 5 = 30, what is x? (a) 35 (b) 6 (c) 4 (d) 5
  5. 5.If 3x + 2 = 2x + 12, what is x? (a) 2 (b) 14 (c) 11 (d) 10
  6. 6.If 4x + 21 = 57, what is x? (a) 8 (b) 10 (c) 9 (d) 36
  7. 7.If 2x − 8 = 2, what is x? (a) 4 (b) 10 (c) 5 (d) 6
  8. 8.If 6x − 5 = 13, what is x? (a) 2 (b) 4 (c) 18 (d) 3
  9. 9.If 6x + 5 = 3x + 11, what is x? (a) 3 (b) 2 (c) 4 (d) 1
  10. 10.If x/4 + 1 = 3, what is x? (a) 8 (b) 2 (c) 11 (d) 16
  11. 11.If 3x + 21 = 30, what is x? (a) 4 (b) 9 (c) 3 (d) 17
  12. 12.If x/3 + 12 = 15, what is x? (a) 81 (b) 33 (c) 9 (d) 3
  13. 13.If 6x + 15 = 39, what is x? (a) 24 (b) 9 (c) 4 (d) 5
  14. 14.If 2x − 4 = 20, what is x? (a) 8 (b) 13 (c) 12 (d) 24
  15. 15.If x/6 + 1 = 4, what is x? (a) 30 (b) 18 (c) 3 (d) 23
  16. 16.If x/2 + 5 = 7, what is x? (a) 24 (b) 2 (c) 4 (d) 9
  17. 17.If 9x + 30 = 138, what is x? (a) 11 (b) 108 (c) 13 (d) 12
  18. 18.If 7x + 21 = 91, what is x? (a) 70 (b) 16 (c) 11 (d) 10
  19. 19.If x/5 + 3 = 6, what is x? (a) 3 (b) 27 (c) 15 (d) 45
  20. 20.If 5x + 4 = 24, what is x? (a) 20 (b) 3 (c) 5 (d) 4
  21. 21.If 3x + 24 = 63, what is x? (a) 39 (b) 29 (c) 13 (d) 14
  22. 22.If 8x − 64 = 16, what is x? (a) 11 (b) 10 (c) 9 (d) 80
  23. 23.If x/3 + 5 = 9, what is x? (a) 12 (b) 22 (c) 42 (d) 4
  24. 24.If x/5 + 12 = 14, what is x? (a) 58 (b) 2 (c) 10 (d) 130
  25. 25.If x/6 + 1 = 12, what is x? (a) 78 (b) 71 (c) 11 (d) 66
  26. 26.If 7x + 29 = 106, what is x? (a) 10 (b) 77 (c) 11 (d) 12
  27. 27.If x/2 + 14 = 21, what is x? (a) 7 (b) 14 (c) 70 (d) 28
  28. 28.If 6x + 14 = x + 74, what is x? (a) 14 (b) 12 (c) 13 (d) 11
  29. 29.If 6x − 26 = 16, what is x? (a) 8 (b) 7 (c) 6 (d) 42
  30. 30.If 4x − 7 = 5, what is x? (a) 12 (b) 2 (c) 4 (d) 3
  31. 31.If 5x + 17 = 62, what is x? (a) 45 (b) 10 (c) 9 (d) 8
  32. 32.If x/5 + 10 = 16, what is x? (a) 130 (b) 6 (c) 70 (d) 30
  33. 33.If x/5 + 11 = 13, what is x? (a) 54 (b) 120 (c) 2 (d) 10
  34. 34.If 2x − 7 = 7, what is x? (a) 7 (b) 8 (c) 6 (d) 14
  35. 35.If x/5 + 13 = 17, what is x? (a) 4 (b) 20 (c) 150 (d) 72
  36. 36.If x/6 + 13 = 18, what is x? (a) 95 (b) 186 (c) 5 (d) 30
  37. 37.If 3x + 10 = 43, what is x? (a) 33 (b) 12 (c) 10 (d) 11
  38. 38.If x/5 + 3 = 12, what is x? (a) 75 (b) 9 (c) 57 (d) 45
  39. 39.If 3x + 1 = x + 25, what is x? (a) 14 (b) 12 (c) 13 (d) 6
  40. 40.If 3x + 11 = 2x + 16, what is x? (a) 6 (b) 27 (c) 5 (d) 1

Answer key

  1. 7
  2. 9
  3. 48
  4. 5
  5. 10
  6. 9
  7. 5
  8. 3
  9. 2
  10. 8
  11. 3
  12. 9
  13. 4
  14. 12
  15. 18
  16. 4
  17. 12
  18. 10
  19. 15
  20. 4
  21. 13
  22. 10
  23. 12
  24. 10
  25. 66
  26. 11
  27. 14
  28. 12
  29. 7
  30. 3
  31. 9
  32. 30
  33. 10
  34. 7
  35. 20
  36. 30
  37. 11
  38. 45
  39. 12
  40. 5

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