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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 19 · 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 + 19 = 34, what is x? (a) 4 (b) 15 (c) 6 (d) 5
  2. 2.If x/4 + 3 = 7, what is x? (a) 40 (b) 16 (c) 25 (d) 4
  3. 3.If x/4 + 2 = 7, what is x? (a) 36 (b) 5 (c) 26 (d) 20
  4. 4.If 9x + 7 = 5x + 51, what is x? (a) 10 (b) 13 (c) 12 (d) 11
  5. 5.If 3x + 24 = 30, what is x? (a) 18 (b) 3 (c) 2 (d) 6
  6. 6.If 2x + 11 = 41, what is x? (a) 26 (b) 16 (c) 15 (d) 30
  7. 7.If 2x + 5 = 25, what is x? (a) 15 (b) 10 (c) 11 (d) 20
  8. 8.If x/2 + 10 = 15, what is x? (a) 5 (b) 50 (c) 10 (d) 20
  9. 9.If 4x − 3 = 9, what is x? (a) 3 (b) 4 (c) 12 (d) 2
  10. 10.If 4x − 39 = 17, what is x? (a) 56 (b) 14 (c) 13 (d) 15
  11. 11.If 3x + 1 = x + 17, what is x? (a) 8 (b) 4 (c) 9 (d) 10
  12. 12.If 6x + 21 = 75, what is x? (a) 54 (b) 9 (c) 16 (d) 10
  13. 13.If x/6 + 1 = 13, what is x? (a) 84 (b) 12 (c) 72 (d) 77
  14. 14.If 8x − 8 = 32, what is x? (a) 5 (b) 3 (c) 6 (d) 40
  15. 15.If 5x − 53 = 22, what is x? (a) 16 (b) 14 (c) 75 (d) 15
  16. 16.If x/6 + 1 = 5, what is x? (a) 36 (b) 29 (c) 24 (d) 4
  17. 17.If 5x − 5 = 5, what is x? (a) 2 (b) 10 (c) 1 (d) 3
  18. 18.If x/5 + 1 = 4, what is x? (a) 19 (b) 3 (c) 25 (d) 15
  19. 19.If 2x + 5 = 35, what is x? (a) 15 (b) 20 (c) 16 (d) 30
  20. 20.If 7x + 1 = 3x + 29, what is x? (a) 9 (b) 8 (c) 6 (d) 7
  21. 21.If x/2 + 10 = 12, what is x? (a) 2 (b) 14 (c) 4 (d) 44
  22. 22.If 5x + 8 = 63, what is x? (a) 10 (b) 11 (c) 12 (d) 55
  23. 23.If 4x + 19 = 39, what is x? (a) 5 (b) 20 (c) 4 (d) 6
  24. 24.If 4x − 47 = 9, what is x? (a) 15 (b) 14 (c) 56 (d) 13
  25. 25.If x/5 + 5 = 17, what is x? (a) 110 (b) 12 (c) 60 (d) 80
  26. 26.If x/2 + 6 = 12, what is x? (a) 12 (b) 18 (c) 6 (d) 36
  27. 27.If x/2 + 4 = 13, what is x? (a) 9 (b) 18 (c) 22 (d) 34
  28. 28.If x/5 + 6 = 9, what is x? (a) 39 (b) 3 (c) 15 (d) 75
  29. 29.If 5x + 26 = 91, what is x? (a) 12 (b) 13 (c) 14 (d) 65
  30. 30.If 8x − 85 = 19, what is x? (a) 13 (b) 14 (c) 104 (d) 12
  31. 31.If 2x + 1 = 5, what is x? (a) 1 (b) 3 (c) 2 (d) 4
  32. 32.If 7x + 10 = 45, what is x? (a) 4 (b) 5 (c) 6 (d) 35
  33. 33.If 5x + 18 = 4x + 26, what is x? (a) 44 (b) 10 (c) 9 (d) 8
  34. 34.If 5x + 13 = 58, what is x? (a) 9 (b) 8 (c) 10 (d) 45
  35. 35.If x/2 + 2 = 10, what is x? (a) 24 (b) 8 (c) 16 (d) 18
  36. 36.If x/2 + 11 = 22, what is x? (a) 22 (b) 33 (c) 66 (d) 11
  37. 37.If 2x + 26 = 30, what is x? (a) 4 (b) 28 (c) 3 (d) 2
  38. 38.If 3x − 14 = 13, what is x? (a) 9 (b) 10 (c) 8 (d) 27
  39. 39.If 9x + 13 = 8x + 25, what is x? (a) 13 (b) 12 (c) 14 (d) 38
  40. 40.If 8x + 1 = 97, what is x? (a) 96 (b) 12 (c) 11 (d) 13

Answer key

  1. 5
  2. 16
  3. 20
  4. 11
  5. 2
  6. 15
  7. 10
  8. 10
  9. 3
  10. 14
  11. 8
  12. 9
  13. 72
  14. 5
  15. 15
  16. 24
  17. 2
  18. 15
  19. 15
  20. 7
  21. 4
  22. 11
  23. 5
  24. 14
  25. 60
  26. 12
  27. 18
  28. 15
  29. 13
  30. 13
  31. 2
  32. 5
  33. 8
  34. 9
  35. 16
  36. 22
  37. 2
  38. 9
  39. 12
  40. 12

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