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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 227 · 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 + 20 = 44, what is x? (a) 8 (b) 9 (c) 7 (d) 24
  2. 2.If x/6 + 5 = 15, what is x? (a) 10 (b) 120 (c) 60 (d) 85
  3. 3.If 6x + 3 = 63, what is x? (a) 60 (b) 9 (c) 11 (d) 10
  4. 4.If 8x + 2 = 6x + 16, what is x? (a) 9 (b) 7 (c) 8 (d) 1
  5. 5.If 9x + 17 = 71, what is x? (a) 54 (b) 6 (c) 5 (d) 7
  6. 6.If 2x − 19 = 11, what is x? (a) 30 (b) 16 (c) 14 (d) 15
  7. 7.If 8x + 1 = 2x + 19, what is x? (a) 4 (b) 2 (c) 5 (d) 3
  8. 8.If 9x + 7 = 4x + 17, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  9. 9.If x/6 + 9 = 18, what is x? (a) 99 (b) 9 (c) 162 (d) 54
  10. 10.If 2x − 5 = 23, what is x? (a) 14 (b) 15 (c) 9 (d) 28
  11. 11.If x/6 + 5 = 11, what is x? (a) 96 (b) 61 (c) 36 (d) 6
  12. 12.If 6x + 28 = 64, what is x? (a) 36 (b) 5 (c) 7 (d) 6
  13. 13.If 9x + 8 = 5x + 48, what is x? (a) 14 (b) 10 (c) 12 (d) 11
  14. 14.If 7x + 8 = 3x + 52, what is x? (a) 12 (b) 13 (c) 11 (d) 15
  15. 15.If 5x + 23 = 93, what is x? (a) 13 (b) 15 (c) 70 (d) 14
  16. 16.If 9x − 65 = 43, what is x? (a) 12 (b) 11 (c) 108 (d) 13
  17. 17.If x/2 + 5 = 9, what is x? (a) 13 (b) 8 (c) 28 (d) 4
  18. 18.If 3x + 13 = 2x + 19, what is x? (a) 8 (b) 32 (c) 7 (d) 6
  19. 19.If 6x + 16 = 76, what is x? (a) 10 (b) 60 (c) 9 (d) 11
  20. 20.If x/4 + 12 = 16, what is x? (a) 52 (b) 4 (c) 16 (d) 112
  21. 21.If 8x + 15 = x + 78, what is x? (a) 7 (b) 11 (c) 9 (d) 10
  22. 22.If 3x + 8 = x + 26, what is x? (a) 17 (b) 9 (c) 11 (d) 10
  23. 23.If 9x − 84 = 15, what is x? (a) 10 (b) 99 (c) 11 (d) 12
  24. 24.If 5x + 24 = 59, what is x? (a) 35 (b) 8 (c) 6 (d) 7
  25. 25.If 5x + 16 = 51, what is x? (a) 7 (b) 6 (c) 8 (d) 35
  26. 26.If 8x + 7 = 55, what is x? (a) 7 (b) 6 (c) 5 (d) 48
  27. 27.If 8x + 14 = 2x + 20, what is x? (a) 2 (b) 4 (c) 3 (d) 1
  28. 28.If 7x − 8 = 6, what is x? (a) 14 (b) 3 (c) 1 (d) 2
  29. 29.If 7x + 16 = 65, what is x? (a) 8 (b) 49 (c) 7 (d) 6
  30. 30.If 8x + 13 = 125, what is x? (a) 14 (b) 13 (c) 15 (d) 112
  31. 31.If 7x + 6 = 4x + 24, what is x? (a) 6 (b) 10 (c) 8 (d) 7
  32. 32.If 9x + 13 = 3x + 61, what is x? (a) 9 (b) 10 (c) 8 (d) 4
  33. 33.If 2x − 24 = 4, what is x? (a) 14 (b) 13 (c) 15 (d) 28
  34. 34.If 3x + 2 = 20, what is x? (a) 18 (b) 5 (c) 6 (d) 7
  35. 35.If 8x + 5 = 37, what is x? (a) 4 (b) 5 (c) 3 (d) 32
  36. 36.If 8x + 16 = 2x + 28, what is x? (a) 2 (b) 4 (c) 1 (d) 3
  37. 37.If x/2 + 12 = 15, what is x? (a) 54 (b) 18 (c) 6 (d) 3
  38. 38.If 3x + 19 = 64, what is x? (a) 16 (b) 45 (c) 14 (d) 15
  39. 39.If 5x + 25 = 85, what is x? (a) 12 (b) 13 (c) 22 (d) 60
  40. 40.If 8x − 58 = 6, what is x? (a) 64 (b) 7 (c) 8 (d) 9

Answer key

  1. 8
  2. 60
  3. 10
  4. 7
  5. 6
  6. 15
  7. 3
  8. 2
  9. 54
  10. 14
  11. 36
  12. 6
  13. 10
  14. 11
  15. 14
  16. 12
  17. 8
  18. 6
  19. 10
  20. 16
  21. 9
  22. 9
  23. 11
  24. 7
  25. 7
  26. 6
  27. 1
  28. 2
  29. 7
  30. 14
  31. 6
  32. 8
  33. 14
  34. 6
  35. 4
  36. 2
  37. 6
  38. 15
  39. 12
  40. 8

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