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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 514 · 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 4x + 26 = 54, what is x? (a) 8 (b) 7 (c) 20 (d) 28
  2. 2.If 7x + 26 = 54, what is x? (a) 5 (b) 4 (c) 3 (d) 28
  3. 3.If 7x + 13 = x + 67, what is x? (a) 11 (b) 10 (c) 9 (d) 8
  4. 4.If 3x − 19 = 17, what is x? (a) 11 (b) 36 (c) 12 (d) 13
  5. 5.If 5x − 3 = 7, what is x? (a) 10 (b) 1 (c) 3 (d) 2
  6. 6.If x/3 + 11 = 16, what is x? (a) 37 (b) 15 (c) 81 (d) 5
  7. 7.If x/3 + 1 = 7, what is x? (a) 6 (b) 20 (c) 24 (d) 18
  8. 8.If 7x − 13 = 15, what is x? (a) 3 (b) 4 (c) 28 (d) 5
  9. 9.If x/3 + 8 = 12, what is x? (a) 60 (b) 12 (c) 4 (d) 28
  10. 10.If 8x + 20 = 3x + 65, what is x? (a) 17 (b) 10 (c) 9 (d) 11
  11. 11.If 4x − 29 = 15, what is x? (a) 44 (b) 10 (c) 11 (d) 12
  12. 12.If 6x − 17 = 49, what is x? (a) 12 (b) 11 (c) 10 (d) 66
  13. 13.If 2x + 28 = 42, what is x? (a) 8 (b) 7 (c) 14 (d) 35
  14. 14.If 5x + 9 = 3x + 23, what is x? (a) 8 (b) 9 (c) 7 (d) 16
  15. 15.If 9x + 2 = 83, what is x? (a) 9 (b) 81 (c) 10 (d) 8
  16. 16.If 9x + 20 = 101, what is x? (a) 8 (b) 10 (c) 81 (d) 9
  17. 17.If 4x + 12 = 24, what is x? (a) 3 (b) 9 (c) 12 (d) 4
  18. 18.If x/2 + 4 = 10, what is x? (a) 16 (b) 6 (c) 12 (d) 28
  19. 19.If 9x + 23 = 140, what is x? (a) 14 (b) 117 (c) 12 (d) 13
  20. 20.If 6x + 22 = 76, what is x? (a) 9 (b) 54 (c) 8 (d) 10
  21. 21.If x/6 + 10 = 15, what is x? (a) 5 (b) 150 (c) 30 (d) 80
  22. 22.If 8x + 13 = 133, what is x? (a) 16 (b) 120 (c) 14 (d) 15
  23. 23.If 5x − 39 = 36, what is x? (a) 75 (b) 15 (c) 14 (d) 16
  24. 24.If 5x − 51 = 24, what is x? (a) 15 (b) 16 (c) 14 (d) 75
  25. 25.If 3x + 8 = 23, what is x? (a) 4 (b) 15 (c) 6 (d) 5
  26. 26.If 4x + 7 = 3x + 19, what is x? (a) 26 (b) 13 (c) 14 (d) 12
  27. 27.If x/2 + 13 = 22, what is x? (a) 70 (b) 18 (c) 31 (d) 9
  28. 28.If 8x + 13 = 4x + 37, what is x? (a) 8 (b) 6 (c) 2 (d) 7
  29. 29.If 9x + 27 = 90, what is x? (a) 13 (b) 8 (c) 7 (d) 63
  30. 30.If 9x − 29 = 7, what is x? (a) 3 (b) 4 (c) 36 (d) 5
  31. 31.If 8x − 4 = 108, what is x? (a) 13 (b) 14 (c) 112 (d) 15
  32. 32.If 6x + 8 = 50, what is x? (a) 6 (b) 7 (c) 8 (d) 42
  33. 33.If 6x − 16 = 50, what is x? (a) 12 (b) 66 (c) 10 (d) 11
  34. 34.If 4x + 3 = 2x + 13, what is x? (a) 7 (b) 5 (c) 8 (d) 6
  35. 35.If 2x − 6 = 12, what is x? (a) 3 (b) 18 (c) 10 (d) 9
  36. 36.If 9x + 22 = 40, what is x? (a) 2 (b) 3 (c) 18 (d) 1
  37. 37.If 7x − 28 = 28, what is x? (a) 9 (b) 56 (c) 7 (d) 8
  38. 38.If 3x + 10 = 2x + 12, what is x? (a) 3 (b) 22 (c) 4 (d) 2
  39. 39.If 7x + 6 = 27, what is x? (a) 3 (b) 21 (c) 2 (d) 4
  40. 40.If 4x + 25 = 73, what is x? (a) 11 (b) 13 (c) 48 (d) 12

Answer key

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

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