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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 821 · 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 4x − 3 = 13, what is x? (a) 5 (b) 3 (c) 16 (d) 4
  2. 2.If 8x + 7 = 2x + 61, what is x? (a) 9 (b) 10 (c) 8 (d) 11
  3. 3.If 2x + 28 = 46, what is x? (a) 10 (b) 37 (c) 18 (d) 9
  4. 4.If 5x + 8 = 68, what is x? (a) 11 (b) 60 (c) 13 (d) 12
  5. 5.If 5x + 6 = 2x + 39, what is x? (a) 15 (b) 11 (c) 12 (d) 13
  6. 6.If 8x + 10 = 7x + 19, what is x? (a) 10 (b) 11 (c) 9 (d) 29
  7. 7.If 2x − 7 = 7, what is x? (a) 7 (b) 8 (c) 14 (d) 6
  8. 8.If x/2 + 13 = 17, what is x? (a) 8 (b) 60 (c) 4 (d) 21
  9. 9.If 3x + 3 = 2x + 5, what is x? (a) 8 (b) 3 (c) 2 (d) 4
  10. 10.If 9x + 2 = 8x + 7, what is x? (a) 5 (b) 7 (c) 6 (d) 9
  11. 11.If 3x − 8 = 28, what is x? (a) 13 (b) 36 (c) 12 (d) 11
  12. 12.If 8x + 2 = 106, what is x? (a) 14 (b) 13 (c) 12 (d) 104
  13. 13.If 7x − 22 = 27, what is x? (a) 7 (b) 8 (c) 6 (d) 49
  14. 14.If 4x − 2 = 22, what is x? (a) 24 (b) 7 (c) 6 (d) 5
  15. 15.If 9x + 7 = 8x + 12, what is x? (a) 19 (b) 7 (c) 6 (d) 5
  16. 16.If 8x + 15 = x + 22, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  17. 17.If 4x − 1 = 19, what is x? (a) 20 (b) 5 (c) 6 (d) 4
  18. 18.If 5x + 2 = 2x + 35, what is x? (a) 12 (b) 13 (c) 10 (d) 11
  19. 19.If 2x + 16 = 42, what is x? (a) 26 (b) 14 (c) 13 (d) 29
  20. 20.If 4x + 14 = 50, what is x? (a) 36 (b) 9 (c) 10 (d) 16
  21. 21.If 5x + 12 = 87, what is x? (a) 75 (b) 15 (c) 16 (d) 14
  22. 22.If x/3 + 6 = 16, what is x? (a) 30 (b) 42 (c) 66 (d) 10
  23. 23.If 9x + 25 = 124, what is x? (a) 10 (b) 99 (c) 12 (d) 11
  24. 24.If 5x + 5 = 55, what is x? (a) 11 (b) 10 (c) 50 (d) 12
  25. 25.If 9x + 15 = 5x + 63, what is x? (a) 14 (b) 12 (c) 11 (d) 13
  26. 26.If 8x + 9 = 5x + 21, what is x? (a) 4 (b) 10 (c) 5 (d) 6
  27. 27.If 3x − 3 = 3, what is x? (a) 2 (b) 1 (c) 6 (d) 3
  28. 28.If x/2 + 5 = 7, what is x? (a) 2 (b) 4 (c) 9 (d) 24
  29. 29.If 4x + 17 = 3x + 28, what is x? (a) 45 (b) 13 (c) 12 (d) 11
  30. 30.If x/2 + 11 = 15, what is x? (a) 52 (b) 4 (c) 8 (d) 19
  31. 31.If 6x − 64 = 26, what is x? (a) 15 (b) 14 (c) 90 (d) 16
  32. 32.If x/3 + 3 = 7, what is x? (a) 12 (b) 18 (c) 4 (d) 30
  33. 33.If 9x − 79 = 2, what is x? (a) 8 (b) 9 (c) 10 (d) 81
  34. 34.If 5x − 5 = 35, what is x? (a) 6 (b) 40 (c) 8 (d) 9
  35. 35.If 2x − 3 = 13, what is x? (a) 9 (b) 16 (c) 8 (d) 5
  36. 36.If 6x − 38 = 16, what is x? (a) 9 (b) 10 (c) 8 (d) 54
  37. 37.If x/2 + 15 = 18, what is x? (a) 3 (b) 66 (c) 6 (d) 21
  38. 38.If 5x + 5 = 30, what is x? (a) 5 (b) 7 (c) 25 (d) 6
  39. 39.If x/3 + 6 = 17, what is x? (a) 33 (b) 45 (c) 11 (d) 69
  40. 40.If 7x − 9 = 5, what is x? (a) 1 (b) 3 (c) 2 (d) 14

Answer key

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

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