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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 667 · 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/4 + 14 = 20, what is x? (a) 136 (b) 24 (c) 66 (d) 6
  2. 2.If x/2 + 3 = 8, what is x? (a) 10 (b) 13 (c) 22 (d) 5
  3. 3.If x/2 + 4 = 7, what is x? (a) 10 (b) 3 (c) 22 (d) 6
  4. 4.If 8x − 17 = 55, what is x? (a) 10 (b) 8 (c) 72 (d) 9
  5. 5.If 4x + 6 = 30, what is x? (a) 6 (b) 7 (c) 9 (d) 24
  6. 6.If x/2 + 3 = 6, what is x? (a) 18 (b) 6 (c) 9 (d) 3
  7. 7.If 6x + 13 = x + 28, what is x? (a) 4 (b) 3 (c) 5 (d) 2
  8. 8.If 3x + 29 = 41, what is x? (a) 3 (b) 12 (c) 5 (d) 4
  9. 9.If 3x + 3 = 2x + 5, what is x? (a) 3 (b) 8 (c) 2 (d) 4
  10. 10.If 9x + 3 = 21, what is x? (a) 2 (b) 1 (c) 18 (d) 3
  11. 11.If 2x − 2 = 6, what is x? (a) 8 (b) 5 (c) 4 (d) 2
  12. 12.If 7x − 44 = 54, what is x? (a) 13 (b) 98 (c) 14 (d) 15
  13. 13.If x/2 + 3 = 13, what is x? (a) 10 (b) 32 (c) 23 (d) 20
  14. 14.If 9x + 8 = 3x + 20, what is x? (a) 4 (b) 1 (c) 3 (d) 2
  15. 15.If 3x + 15 = x + 39, what is x? (a) 13 (b) 27 (c) 12 (d) 6
  16. 16.If x/5 + 7 = 10, what is x? (a) 43 (b) 85 (c) 15 (d) 3
  17. 17.If 8x + 4 = 124, what is x? (a) 15 (b) 14 (c) 120 (d) 16
  18. 18.If x/3 + 1 = 6, what is x? (a) 21 (b) 17 (c) 5 (d) 15
  19. 19.If 6x + 4 = 16, what is x? (a) 3 (b) 2 (c) 1 (d) 12
  20. 20.If x/6 + 9 = 19, what is x? (a) 60 (b) 10 (c) 105 (d) 168
  21. 21.If 4x + 7 = 2x + 29, what is x? (a) 18 (b) 11 (c) 12 (d) 13
  22. 22.If 7x + 18 = 4x + 24, what is x? (a) 14 (b) 3 (c) 2 (d) 4
  23. 23.If 5x + 3 = 2x + 15, what is x? (a) 4 (b) 3 (c) 5 (d) 6
  24. 24.If 3x + 4 = x + 10, what is x? (a) 3 (b) 7 (c) 4 (d) 5
  25. 25.If 8x − 57 = 47, what is x? (a) 13 (b) 14 (c) 104 (d) 12
  26. 26.If 4x − 6 = 14, what is x? (a) 20 (b) 2 (c) 6 (d) 5
  27. 27.If 3x + 7 = 52, what is x? (a) 16 (b) 15 (c) 45 (d) 14
  28. 28.If 5x + 16 = 71, what is x? (a) 55 (b) 12 (c) 10 (d) 11
  29. 29.If 9x + 18 = 3x + 36, what is x? (a) 3 (b) 9 (c) 5 (d) 4
  30. 30.If 4x − 7 = 9, what is x? (a) 3 (b) 5 (c) 4 (d) 16
  31. 31.If 5x − 8 = 27, what is x? (a) 35 (b) 6 (c) 7 (d) 8
  32. 32.If 5x − 7 = 18, what is x? (a) 5 (b) 4 (c) 6 (d) 25
  33. 33.If x/4 + 3 = 6, what is x? (a) 12 (b) 3 (c) 36 (d) 21
  34. 34.If x/3 + 15 = 21, what is x? (a) 18 (b) 108 (c) 48 (d) 6
  35. 35.If 9x + 13 = 5x + 61, what is x? (a) 11 (b) 13 (c) 14 (d) 12
  36. 36.If 5x + 3 = 2x + 18, what is x? (a) 6 (b) 7 (c) 4 (d) 5
  37. 37.If 4x + 12 = x + 18, what is x? (a) 10 (b) 2 (c) 3 (d) 4
  38. 38.If x/6 + 13 = 15, what is x? (a) 77 (b) 2 (c) 168 (d) 12
  39. 39.If 3x − 2 = 7, what is x? (a) 2 (b) 4 (c) 9 (d) 3
  40. 40.If 8x − 93 = 27, what is x? (a) 16 (b) 14 (c) 15 (d) 120

Answer key

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

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