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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 793 · 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 x/5 + 2 = 6, what is x? (a) 20 (b) 40 (c) 4 (d) 28
  2. 2.If 2x + 13 = 37, what is x? (a) 24 (b) 25 (c) 12 (d) 13
  3. 3.If 9x + 3 = 6x + 18, what is x? (a) 7 (b) 6 (c) 1 (d) 5
  4. 4.If 5x + 7 = 4x + 11, what is x? (a) 4 (b) 6 (c) 18 (d) 5
  5. 5.If x/3 + 6 = 11, what is x? (a) 27 (b) 5 (c) 51 (d) 15
  6. 6.If x/3 + 9 = 14, what is x? (a) 5 (b) 33 (c) 69 (d) 15
  7. 7.If 4x + 14 = 3x + 26, what is x? (a) 12 (b) 40 (c) 13 (d) 14
  8. 8.If 2x − 14 = 10, what is x? (a) 13 (b) 24 (c) 11 (d) 12
  9. 9.If x/4 + 2 = 6, what is x? (a) 32 (b) 22 (c) 4 (d) 16
  10. 10.If 6x + 22 = 52, what is x? (a) 5 (b) 6 (c) 4 (d) 30
  11. 11.If 5x − 7 = 53, what is x? (a) 11 (b) 60 (c) 12 (d) 13
  12. 12.If 4x + 10 = 22, what is x? (a) 12 (b) 3 (c) 4 (d) 8
  13. 13.If x/4 + 1 = 6, what is x? (a) 28 (b) 5 (c) 20 (d) 23
  14. 14.If 6x + 11 = 4x + 25, what is x? (a) 9 (b) 8 (c) 7 (d) 18
  15. 15.If x/4 + 11 = 15, what is x? (a) 4 (b) 49 (c) 104 (d) 16
  16. 16.If x/5 + 4 = 14, what is x? (a) 66 (b) 90 (c) 10 (d) 50
  17. 17.If 5x + 21 = 81, what is x? (a) 11 (b) 12 (c) 13 (d) 60
  18. 18.If 5x − 1 = 19, what is x? (a) 3 (b) 4 (c) 5 (d) 20
  19. 19.If 8x − 12 = 36, what is x? (a) 7 (b) 48 (c) 6 (d) 3
  20. 20.If 2x + 17 = 25, what is x? (a) 21 (b) 8 (c) 4 (d) 5
  21. 21.If 9x + 17 = 35, what is x? (a) 1 (b) 18 (c) 3 (d) 2
  22. 22.If x/4 + 9 = 16, what is x? (a) 7 (b) 55 (c) 100 (d) 28
  23. 23.If 8x − 27 = 21, what is x? (a) 7 (b) 6 (c) 48 (d) 5
  24. 24.If x/2 + 8 = 12, what is x? (a) 8 (b) 40 (c) 4 (d) 16
  25. 25.If x/5 + 15 = 20, what is x? (a) 5 (b) 25 (c) 175 (d) 85
  26. 26.If 7x − 59 = 4, what is x? (a) 10 (b) 8 (c) 9 (d) 63
  27. 27.If 9x − 39 = 87, what is x? (a) 126 (b) 14 (c) 13 (d) 15
  28. 28.If 5x + 18 = x + 66, what is x? (a) 13 (b) 8 (c) 21 (d) 12
  29. 29.If 9x + 14 = 2x + 49, what is x? (a) 9 (b) 6 (c) 5 (d) 7
  30. 30.If 6x + 10 = 100, what is x? (a) 15 (b) 90 (c) 14 (d) 16
  31. 31.If x/6 + 5 = 10, what is x? (a) 5 (b) 55 (c) 30 (d) 90
  32. 32.If 5x + 7 = 32, what is x? (a) 5 (b) 25 (c) 6 (d) 4
  33. 33.If 3x + 17 = 2x + 19, what is x? (a) 4 (b) 2 (c) 36 (d) 3
  34. 34.If 2x − 2 = 14, what is x? (a) 9 (b) 16 (c) 6 (d) 8
  35. 35.If 5x + 20 = 3x + 32, what is x? (a) 6 (b) 7 (c) 8 (d) 26
  36. 36.If 3x + 30 = 66, what is x? (a) 13 (b) 32 (c) 12 (d) 36
  37. 37.If x/3 + 14 = 17, what is x? (a) 9 (b) 3 (c) 37 (d) 93
  38. 38.If 4x + 13 = x + 49, what is x? (a) 13 (b) 11 (c) 12 (d) 14
  39. 39.If 4x + 3 = x + 21, what is x? (a) 7 (b) 5 (c) 8 (d) 6
  40. 40.If 5x + 1 = x + 13, what is x? (a) 3 (b) 5 (c) 4 (d) 2

Answer key

  1. 20
  2. 12
  3. 5
  4. 4
  5. 15
  6. 15
  7. 12
  8. 12
  9. 16
  10. 5
  11. 12
  12. 3
  13. 20
  14. 7
  15. 16
  16. 50
  17. 12
  18. 4
  19. 6
  20. 4
  21. 2
  22. 28
  23. 6
  24. 8
  25. 25
  26. 9
  27. 14
  28. 12
  29. 5
  30. 15
  31. 30
  32. 5
  33. 2
  34. 8
  35. 6
  36. 12
  37. 9
  38. 12
  39. 6
  40. 3

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