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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 301 · 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 + 23 = 103, what is x? (a) 9 (b) 80 (c) 10 (d) 11
  2. 2.If 7x + 19 = 3x + 31, what is x? (a) 4 (b) 2 (c) 5 (d) 3
  3. 3.If 5x + 30 = 70, what is x? (a) 9 (b) 40 (c) 20 (d) 8
  4. 4.If x/6 + 6 = 10, what is x? (a) 24 (b) 4 (c) 54 (d) 96
  5. 5.If 5x + 9 = 34, what is x? (a) 6 (b) 5 (c) 25 (d) 4
  6. 6.If 4x − 7 = 1, what is x? (a) 3 (b) 8 (c) 2 (d) 1
  7. 7.If 6x + 20 = x + 50, what is x? (a) 7 (b) 14 (c) 8 (d) 6
  8. 8.If 7x + 3 = 31, what is x? (a) 3 (b) 5 (c) 28 (d) 4
  9. 9.If 3x + 5 = 2x + 12, what is x? (a) 8 (b) 9 (c) 17 (d) 7
  10. 10.If 6x − 64 = 2, what is x? (a) 66 (b) 12 (c) 11 (d) 10
  11. 11.If 4x + 12 = x + 24, what is x? (a) 5 (b) 6 (c) 4 (d) 12
  12. 12.If 4x + 9 = 33, what is x? (a) 5 (b) 7 (c) 6 (d) 24
  13. 13.If x/2 + 1 = 8, what is x? (a) 7 (b) 14 (c) 18 (d) 15
  14. 14.If 5x + 7 = 77, what is x? (a) 13 (b) 14 (c) 15 (d) 70
  15. 15.If 2x + 10 = 34, what is x? (a) 22 (b) 12 (c) 24 (d) 13
  16. 16.If 9x + 1 = 2x + 71, what is x? (a) 10 (b) 9 (c) 11 (d) 12
  17. 17.If x/5 + 3 = 14, what is x? (a) 55 (b) 67 (c) 11 (d) 85
  18. 18.If 5x + 11 = 4x + 17, what is x? (a) 8 (b) 6 (c) 28 (d) 7
  19. 19.If 2x + 15 = 37, what is x? (a) 12 (b) 22 (c) 11 (d) 26
  20. 20.If 4x + 14 = 3x + 20, what is x? (a) 34 (b) 7 (c) 6 (d) 8
  21. 21.If 3x − 2 = 13, what is x? (a) 5 (b) 15 (c) 6 (d) 4
  22. 22.If 5x + 16 = x + 28, what is x? (a) 11 (b) 4 (c) 2 (d) 3
  23. 23.If 2x + 18 = 42, what is x? (a) 12 (b) 30 (c) 24 (d) 13
  24. 24.If 9x − 19 = 71, what is x? (a) 9 (b) 90 (c) 11 (d) 10
  25. 25.If 9x + 22 = 67, what is x? (a) 6 (b) 4 (c) 5 (d) 45
  26. 26.If x/2 + 6 = 12, what is x? (a) 6 (b) 18 (c) 36 (d) 12
  27. 27.If 5x − 40 = 20, what is x? (a) 11 (b) 13 (c) 60 (d) 12
  28. 28.If x/6 + 11 = 13, what is x? (a) 2 (b) 144 (c) 12 (d) 67
  29. 29.If 7x + 2 = 5x + 16, what is x? (a) 6 (b) 8 (c) 9 (d) 7
  30. 30.If x/3 + 10 = 20, what is x? (a) 90 (b) 50 (c) 30 (d) 10
  31. 31.If 9x − 46 = 44, what is x? (a) 11 (b) 10 (c) 90 (d) 9
  32. 32.If 6x + 24 = 90, what is x? (a) 66 (b) 11 (c) 19 (d) 12
  33. 33.If 6x + 10 = 2x + 14, what is x? (a) 6 (b) 2 (c) 1 (d) 3
  34. 34.If x/6 + 6 = 13, what is x? (a) 7 (b) 114 (c) 42 (d) 72
  35. 35.If 6x − 22 = 2, what is x? (a) 5 (b) 4 (c) 24 (d) 3
  36. 36.If x/3 + 13 = 18, what is x? (a) 15 (b) 41 (c) 93 (d) 5
  37. 37.If x/4 + 9 = 13, what is x? (a) 16 (b) 43 (c) 88 (d) 4
  38. 38.If 6x + 9 = 45, what is x? (a) 6 (b) 36 (c) 9 (d) 7
  39. 39.If 9x + 3 = 7x + 9, what is x? (a) 6 (b) 5 (c) 3 (d) 4
  40. 40.If 3x − 22 = 8, what is x? (a) 9 (b) 30 (c) 10 (d) 11

Answer key

  1. 10
  2. 3
  3. 8
  4. 24
  5. 5
  6. 2
  7. 6
  8. 4
  9. 7
  10. 11
  11. 4
  12. 6
  13. 14
  14. 14
  15. 12
  16. 10
  17. 55
  18. 6
  19. 11
  20. 6
  21. 5
  22. 3
  23. 12
  24. 10
  25. 5
  26. 12
  27. 12
  28. 12
  29. 7
  30. 30
  31. 10
  32. 11
  33. 1
  34. 42
  35. 4
  36. 15
  37. 16
  38. 6
  39. 3
  40. 10

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