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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 536 · 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 8x + 28 = 108, what is x? (a) 80 (b) 17 (c) 10 (d) 11
  2. 2.If x/2 + 4 = 7, what is x? (a) 10 (b) 6 (c) 3 (d) 22
  3. 3.If 3x − 8 = 10, what is x? (a) 6 (b) 7 (c) 18 (d) 5
  4. 4.If 5x + 19 = 3x + 37, what is x? (a) 11 (b) 10 (c) 9 (d) 28
  5. 5.If 9x + 17 = 5x + 33, what is x? (a) 5 (b) 6 (c) 3 (d) 4
  6. 6.If 8x + 15 = x + 22, what is x? (a) 1 (b) 4 (c) 3 (d) 2
  7. 7.If x/5 + 12 = 17, what is x? (a) 25 (b) 73 (c) 5 (d) 145
  8. 8.If 6x + 8 = 4x + 12, what is x? (a) 4 (b) 3 (c) 2 (d) 10
  9. 9.If 7x + 7 = 63, what is x? (a) 56 (b) 9 (c) 10 (d) 8
  10. 10.If 9x − 34 = 2, what is x? (a) 36 (b) 3 (c) 5 (d) 4
  11. 11.If 6x + 17 = 2x + 41, what is x? (a) 3 (b) 7 (c) 6 (d) 8
  12. 12.If 9x + 9 = 117, what is x? (a) 14 (b) 13 (c) 108 (d) 12
  13. 13.If x/6 + 8 = 12, what is x? (a) 24 (b) 4 (c) 64 (d) 120
  14. 14.If 5x + 10 = 85, what is x? (a) 75 (b) 16 (c) 15 (d) 19
  15. 15.If 4x − 7 = 5, what is x? (a) 12 (b) 4 (c) 2 (d) 3
  16. 16.If 3x + 26 = 47, what is x? (a) 6 (b) 21 (c) 7 (d) 8
  17. 17.If 9x − 5 = 13, what is x? (a) 18 (b) 2 (c) 1 (d) 3
  18. 18.If 2x + 13 = 25, what is x? (a) 7 (b) 19 (c) 12 (d) 6
  19. 19.If x/6 + 12 = 15, what is x? (a) 78 (b) 162 (c) 18 (d) 3
  20. 20.If 2x + 25 = 49, what is x? (a) 12 (b) 13 (c) 24 (d) 37
  21. 21.If 7x + 3 = 108, what is x? (a) 15 (b) 14 (c) 16 (d) 105
  22. 22.If 8x + 12 = 3x + 57, what is x? (a) 10 (b) 11 (c) 9 (d) 8
  23. 23.If x/6 + 9 = 15, what is x? (a) 81 (b) 6 (c) 36 (d) 144
  24. 24.If 5x + 3 = 3x + 11, what is x? (a) 1 (b) 7 (c) 5 (d) 4
  25. 25.If x/6 + 9 = 18, what is x? (a) 162 (b) 54 (c) 9 (d) 99
  26. 26.If 9x + 15 = 33, what is x? (a) 3 (b) 1 (c) 18 (d) 2
  27. 27.If x/3 + 5 = 9, what is x? (a) 42 (b) 4 (c) 12 (d) 22
  28. 28.If 4x + 11 = 67, what is x? (a) 14 (b) 15 (c) 13 (d) 56
  29. 29.If 4x + 23 = 83, what is x? (a) 16 (b) 14 (c) 15 (d) 60
  30. 30.If 7x + 12 = 117, what is x? (a) 105 (b) 15 (c) 14 (d) 16
  31. 31.If 2x − 1 = 9, what is x? (a) 4 (b) 10 (c) 5 (d) 6
  32. 32.If x/5 + 7 = 18, what is x? (a) 125 (b) 55 (c) 83 (d) 11
  33. 33.If 4x + 11 = 3x + 23, what is x? (a) 13 (b) 14 (c) 34 (d) 12
  34. 34.If 7x + 16 = x + 28, what is x? (a) 4 (b) 3 (c) 1 (d) 2
  35. 35.If 5x − 12 = 3, what is x? (a) 3 (b) 2 (c) 15 (d) 4
  36. 36.If 4x + 2 = 2x + 10, what is x? (a) 3 (b) 4 (c) 5 (d) 6
  37. 37.If 2x − 2 = 8, what is x? (a) 10 (b) 6 (c) 5 (d) 3
  38. 38.If 2x − 18 = 12, what is x? (a) 14 (b) 16 (c) 30 (d) 15
  39. 39.If 7x + 17 = x + 59, what is x? (a) 7 (b) 6 (c) 9 (d) 8
  40. 40.If x/3 + 4 = 14, what is x? (a) 54 (b) 38 (c) 10 (d) 30

Answer key

  1. 10
  2. 6
  3. 6
  4. 9
  5. 4
  6. 1
  7. 25
  8. 2
  9. 8
  10. 4
  11. 6
  12. 12
  13. 24
  14. 15
  15. 3
  16. 7
  17. 2
  18. 6
  19. 18
  20. 12
  21. 15
  22. 9
  23. 36
  24. 4
  25. 54
  26. 2
  27. 12
  28. 14
  29. 15
  30. 15
  31. 5
  32. 55
  33. 12
  34. 2
  35. 3
  36. 4
  37. 5
  38. 15
  39. 7
  40. 30

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