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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 739 · 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 5x + 1 = x + 49, what is x? (a) 14 (b) 13 (c) 8 (d) 12
  2. 2.If 6x + 8 = 2x + 40, what is x? (a) 8 (b) 9 (c) 4 (d) 12
  3. 3.If 6x − 7 = 23, what is x? (a) 30 (b) 6 (c) 5 (d) 4
  4. 4.If 9x − 17 = 1, what is x? (a) 18 (b) 2 (c) 1 (d) 3
  5. 5.If 3x + 13 = 2x + 22, what is x? (a) 9 (b) 11 (c) 35 (d) 10
  6. 6.If 4x − 34 = 18, what is x? (a) 12 (b) 52 (c) 14 (d) 13
  7. 7.If x/2 + 7 = 17, what is x? (a) 10 (b) 27 (c) 20 (d) 48
  8. 8.If 8x + 12 = 52, what is x? (a) 8 (b) 40 (c) 5 (d) 6
  9. 9.If 4x + 13 = 2x + 23, what is x? (a) 18 (b) 7 (c) 6 (d) 5
  10. 10.If x/3 + 7 = 13, what is x? (a) 32 (b) 6 (c) 60 (d) 18
  11. 11.If 8x + 9 = 33, what is x? (a) 3 (b) 24 (c) 4 (d) 2
  12. 12.If x/4 + 13 = 17, what is x? (a) 16 (b) 4 (c) 120 (d) 55
  13. 13.If 7x + 10 = 45, what is x? (a) 6 (b) 35 (c) 4 (d) 5
  14. 14.If 6x − 25 = 53, what is x? (a) 12 (b) 78 (c) 13 (d) 14
  15. 15.If x/6 + 11 = 13, what is x? (a) 12 (b) 144 (c) 2 (d) 67
  16. 16.If 2x + 26 = 36, what is x? (a) 10 (b) 6 (c) 31 (d) 5
  17. 17.If 5x + 8 = 38, what is x? (a) 6 (b) 30 (c) 7 (d) 5
  18. 18.If 4x + 23 = 39, what is x? (a) 3 (b) 4 (c) 16 (d) 5
  19. 19.If 8x + 7 = 4x + 55, what is x? (a) 4 (b) 12 (c) 13 (d) 14
  20. 20.If 2x + 20 = 44, what is x? (a) 32 (b) 13 (c) 12 (d) 24
  21. 21.If 6x + 8 = 5x + 12, what is x? (a) 6 (b) 5 (c) 20 (d) 4
  22. 22.If 5x − 5 = 45, what is x? (a) 11 (b) 50 (c) 10 (d) 8
  23. 23.If x/3 + 14 = 19, what is x? (a) 5 (b) 99 (c) 43 (d) 15
  24. 24.If 5x + 7 = 42, what is x? (a) 35 (b) 7 (c) 6 (d) 8
  25. 25.If x/5 + 13 = 18, what is x? (a) 77 (b) 25 (c) 155 (d) 5
  26. 26.If 7x + 5 = 2x + 40, what is x? (a) 7 (b) 6 (c) 8 (d) 9
  27. 27.If 9x + 23 = 77, what is x? (a) 7 (b) 6 (c) 5 (d) 54
  28. 28.If 6x + 6 = x + 31, what is x? (a) 4 (b) 6 (c) 7 (d) 5
  29. 29.If 3x + 3 = 2x + 5, what is x? (a) 8 (b) 3 (c) 2 (d) 4
  30. 30.If 9x + 30 = 75, what is x? (a) 5 (b) 6 (c) 45 (d) 4
  31. 31.If 6x + 9 = 5x + 10, what is x? (a) 2 (b) 19 (c) 3 (d) 1
  32. 32.If 5x + 27 = 62, what is x? (a) 35 (b) 6 (c) 7 (d) 8
  33. 33.If 5x − 39 = 31, what is x? (a) 14 (b) 13 (c) 70 (d) 15
  34. 34.If x/4 + 13 = 24, what is x? (a) 148 (b) 83 (c) 44 (d) 11
  35. 35.If 7x − 17 = 4, what is x? (a) 2 (b) 21 (c) 4 (d) 3
  36. 36.If x/3 + 3 = 15, what is x? (a) 12 (b) 36 (c) 54 (d) 42
  37. 37.If 9x + 16 = 34, what is x? (a) 2 (b) 3 (c) 18 (d) 1
  38. 38.If x/4 + 2 = 11, what is x? (a) 9 (b) 42 (c) 52 (d) 36
  39. 39.If 3x − 8 = 31, what is x? (a) 39 (b) 12 (c) 13 (d) 14
  40. 40.If 7x + 7 = 77, what is x? (a) 12 (b) 10 (c) 70 (d) 11

Answer key

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

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