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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 771 · 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 + 4 = x + 16, what is x? (a) 6 (b) 7 (c) 10 (d) 3
  2. 2.If 5x + 14 = 64, what is x? (a) 11 (b) 9 (c) 50 (d) 10
  3. 3.If x/4 + 5 = 8, what is x? (a) 3 (b) 12 (c) 27 (d) 52
  4. 4.If 4x + 25 = 37, what is x? (a) 4 (b) 3 (c) 12 (d) 2
  5. 5.If 6x − 6 = 12, what is x? (a) 3 (b) 18 (c) 4 (d) 1
  6. 6.If 8x − 8 = 8, what is x? (a) 1 (b) 2 (c) 3 (d) 16
  7. 7.If x/3 + 11 = 13, what is x? (a) 2 (b) 72 (c) 6 (d) 28
  8. 8.If x/6 + 3 = 7, what is x? (a) 4 (b) 60 (c) 24 (d) 39
  9. 9.If 6x + 20 = 44, what is x? (a) 24 (b) 3 (c) 5 (d) 4
  10. 10.If 7x − 32 = 38, what is x? (a) 10 (b) 70 (c) 9 (d) 11
  11. 11.If 3x − 5 = 1, what is x? (a) 6 (b) 2 (c) 3 (d) 1
  12. 12.If 8x − 11 = 69, what is x? (a) 10 (b) 11 (c) 9 (d) 80
  13. 13.If 8x + 27 = 107, what is x? (a) 9 (b) 80 (c) 11 (d) 10
  14. 14.If 3x + 20 = x + 22, what is x? (a) 1 (b) 3 (c) 21 (d) 2
  15. 15.If 4x + 2 = 2x + 4, what is x? (a) 3 (b) 1 (c) 2 (d) 4
  16. 16.If x/2 + 9 = 11, what is x? (a) 40 (b) 2 (c) 4 (d) 13
  17. 17.If 3x + 2 = 35, what is x? (a) 12 (b) 33 (c) 11 (d) 10
  18. 18.If 2x + 13 = 19, what is x? (a) 16 (b) 4 (c) 6 (d) 3
  19. 19.If x/3 + 8 = 10, what is x? (a) 22 (b) 6 (c) 2 (d) 54
  20. 20.If 4x + 24 = 32, what is x? (a) 8 (b) 14 (c) 3 (d) 2
  21. 21.If 8x + 13 = 2x + 67, what is x? (a) 11 (b) 10 (c) 8 (d) 9
  22. 22.If x/3 + 2 = 13, what is x? (a) 37 (b) 33 (c) 45 (d) 11
  23. 23.If 5x + 13 = x + 29, what is x? (a) 3 (b) 4 (c) 6 (d) 5
  24. 24.If x/4 + 13 = 24, what is x? (a) 11 (b) 148 (c) 44 (d) 83
  25. 25.If 9x + 6 = 4x + 46, what is x? (a) 8 (b) 7 (c) 10 (d) 9
  26. 26.If 4x − 26 = 6, what is x? (a) 32 (b) 9 (c) 8 (d) 7
  27. 27.If 4x + 8 = x + 32, what is x? (a) 7 (b) 8 (c) 10 (d) 9
  28. 28.If 8x − 11 = 53, what is x? (a) 8 (b) 7 (c) 9 (d) 64
  29. 29.If x/2 + 1 = 12, what is x? (a) 11 (b) 23 (c) 26 (d) 22
  30. 30.If 8x + 21 = 133, what is x? (a) 13 (b) 14 (c) 112 (d) 15
  31. 31.If 6x − 54 = 30, what is x? (a) 84 (b) 13 (c) 15 (d) 14
  32. 32.If 7x + 14 = 98, what is x? (a) 16 (b) 13 (c) 84 (d) 12
  33. 33.If 9x + 2 = x + 26, what is x? (a) 5 (b) 2 (c) 4 (d) 3
  34. 34.If 6x − 21 = 9, what is x? (a) 5 (b) 4 (c) 30 (d) 6
  35. 35.If 6x + 7 = 3x + 10, what is x? (a) 1 (b) 3 (c) 2 (d) 4
  36. 36.If 6x − 3 = 75, what is x? (a) 78 (b) 12 (c) 14 (d) 13
  37. 37.If 5x − 31 = 44, what is x? (a) 75 (b) 14 (c) 16 (d) 15
  38. 38.If x/3 + 10 = 13, what is x? (a) 29 (b) 9 (c) 3 (d) 69
  39. 39.If 3x − 3 = 3, what is x? (a) 2 (b) 1 (c) 6 (d) 3
  40. 40.If 4x + 15 = 3x + 23, what is x? (a) 38 (b) 8 (c) 10 (d) 9

Answer key

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

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