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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 290 · 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 − 25 = 56, what is x? (a) 8 (b) 10 (c) 81 (d) 9
  2. 2.If 8x + 14 = 5x + 26, what is x? (a) 6 (b) 4 (c) 5 (d) 3
  3. 3.If x/6 + 11 = 13, what is x? (a) 144 (b) 2 (c) 12 (d) 67
  4. 4.If x/3 + 12 = 14, what is x? (a) 30 (b) 6 (c) 2 (d) 78
  5. 5.If x/5 + 13 = 16, what is x? (a) 15 (b) 3 (c) 145 (d) 67
  6. 6.If x/3 + 11 = 23, what is x? (a) 12 (b) 58 (c) 102 (d) 36
  7. 7.If x/3 + 6 = 14, what is x? (a) 36 (b) 24 (c) 8 (d) 60
  8. 8.If 7x + 9 = 5x + 25, what is x? (a) 17 (b) 8 (c) 9 (d) 10
  9. 9.If 8x + 7 = 3x + 17, what is x? (a) 4 (b) 2 (c) 1 (d) 3
  10. 10.If x/5 + 1 = 11, what is x? (a) 50 (b) 10 (c) 60 (d) 54
  11. 11.If 5x + 5 = 80, what is x? (a) 16 (b) 75 (c) 15 (d) 17
  12. 12.If 8x + 16 = 3x + 66, what is x? (a) 11 (b) 9 (c) 12 (d) 10
  13. 13.If 8x + 25 = 97, what is x? (a) 9 (b) 10 (c) 8 (d) 72
  14. 14.If 2x + 5 = 11, what is x? (a) 4 (b) 3 (c) 6 (d) 8
  15. 15.If 7x − 20 = 36, what is x? (a) 8 (b) 9 (c) 56 (d) 7
  16. 16.If x/4 + 5 = 16, what is x? (a) 44 (b) 84 (c) 59 (d) 11
  17. 17.If 3x + 7 = x + 11, what is x? (a) 1 (b) 9 (c) 2 (d) 3
  18. 18.If x/4 + 7 = 14, what is x? (a) 49 (b) 28 (c) 7 (d) 84
  19. 19.If 4x + 18 = 2x + 28, what is x? (a) 6 (b) 23 (c) 7 (d) 5
  20. 20.If 3x + 8 = x + 28, what is x? (a) 18 (b) 10 (c) 5 (d) 11
  21. 21.If 8x − 82 = 22, what is x? (a) 12 (b) 104 (c) 14 (d) 13
  22. 22.If 7x − 19 = 65, what is x? (a) 84 (b) 13 (c) 11 (d) 12
  23. 23.If 5x − 17 = 8, what is x? (a) 25 (b) 5 (c) 6 (d) 4
  24. 24.If x/2 + 12 = 19, what is x? (a) 7 (b) 62 (c) 26 (d) 14
  25. 25.If x/4 + 5 = 10, what is x? (a) 35 (b) 5 (c) 60 (d) 20
  26. 26.If x/6 + 8 = 11, what is x? (a) 18 (b) 3 (c) 114 (d) 58
  27. 27.If 7x + 27 = 55, what is x? (a) 5 (b) 3 (c) 28 (d) 4
  28. 28.If 3x − 12 = 3, what is x? (a) 15 (b) 6 (c) 5 (d) 4
  29. 29.If x/4 + 11 = 14, what is x? (a) 12 (b) 3 (c) 100 (d) 45
  30. 30.If 7x + 15 = 106, what is x? (a) 13 (b) 91 (c) 14 (d) 12
  31. 31.If 7x + 4 = 5x + 14, what is x? (a) 7 (b) 6 (c) 5 (d) 9
  32. 32.If x/6 + 9 = 18, what is x? (a) 54 (b) 162 (c) 99 (d) 9
  33. 33.If x/3 + 13 = 22, what is x? (a) 9 (b) 27 (c) 53 (d) 105
  34. 34.If x/6 + 14 = 26, what is x? (a) 72 (b) 240 (c) 12 (d) 142
  35. 35.If 8x + 2 = x + 79, what is x? (a) 10 (b) 11 (c) 12 (d) 13
  36. 36.If 2x + 3 = 9, what is x? (a) 6 (b) 2 (c) 3 (d) 4
  37. 37.If 2x − 9 = 5, what is x? (a) 6 (b) 8 (c) 7 (d) 14
  38. 38.If 7x + 18 = x + 30, what is x? (a) 8 (b) 3 (c) 2 (d) 4
  39. 39.If 7x + 5 = 110, what is x? (a) 105 (b) 15 (c) 14 (d) 16
  40. 40.If x/2 + 3 = 5, what is x? (a) 4 (b) 2 (c) 16 (d) 7

Answer key

  1. 9
  2. 4
  3. 12
  4. 6
  5. 15
  6. 36
  7. 24
  8. 8
  9. 2
  10. 50
  11. 15
  12. 10
  13. 9
  14. 3
  15. 8
  16. 44
  17. 2
  18. 28
  19. 5
  20. 10
  21. 13
  22. 12
  23. 5
  24. 14
  25. 20
  26. 18
  27. 4
  28. 5
  29. 12
  30. 13
  31. 5
  32. 54
  33. 27
  34. 72
  35. 11
  36. 3
  37. 7
  38. 2
  39. 15
  40. 4

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