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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 337 · 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 + 12 = 24, what is x? (a) 84 (b) 144 (c) 48 (d) 12
  2. 2.If x/4 + 5 = 14, what is x? (a) 36 (b) 76 (c) 51 (d) 9
  3. 3.If 4x + 20 = 72, what is x? (a) 52 (b) 23 (c) 14 (d) 13
  4. 4.If 8x + 2 = 42, what is x? (a) 5 (b) 6 (c) 40 (d) 4
  5. 5.If 8x + 7 = 6x + 25, what is x? (a) 16 (b) 9 (c) 11 (d) 10
  6. 6.If x/6 + 7 = 17, what is x? (a) 144 (b) 10 (c) 95 (d) 60
  7. 7.If 8x + 9 = 3x + 29, what is x? (a) 5 (b) 4 (c) 3 (d) 6
  8. 8.If 2x − 9 = 5, what is x? (a) 8 (b) 6 (c) 7 (d) 14
  9. 9.If 8x + 29 = 149, what is x? (a) 16 (b) 120 (c) 15 (d) 14
  10. 10.If 7x + 10 = 73, what is x? (a) 10 (b) 8 (c) 63 (d) 9
  11. 11.If 6x + 8 = x + 33, what is x? (a) 6 (b) 7 (c) 4 (d) 5
  12. 12.If x/2 + 15 = 18, what is x? (a) 6 (b) 21 (c) 66 (d) 3
  13. 13.If x/2 + 14 = 18, what is x? (a) 4 (b) 22 (c) 64 (d) 8
  14. 14.If 3x + 3 = 48, what is x? (a) 45 (b) 15 (c) 16 (d) 17
  15. 15.If 5x − 29 = 31, what is x? (a) 12 (b) 13 (c) 11 (d) 60
  16. 16.If x/2 + 8 = 11, what is x? (a) 6 (b) 3 (c) 38 (d) 14
  17. 17.If 5x − 25 = 5, what is x? (a) 30 (b) 7 (c) 5 (d) 6
  18. 18.If x/4 + 11 = 13, what is x? (a) 2 (b) 96 (c) 8 (d) 41
  19. 19.If 5x − 13 = 2, what is x? (a) 2 (b) 4 (c) 15 (d) 3
  20. 20.If 2x + 5 = 25, what is x? (a) 15 (b) 11 (c) 10 (d) 20
  21. 21.If 8x + 5 = 4x + 29, what is x? (a) 2 (b) 6 (c) 8 (d) 7
  22. 22.If 8x + 16 = 40, what is x? (a) 3 (b) 24 (c) 7 (d) 4
  23. 23.If 3x + 13 = 40, what is x? (a) 8 (b) 10 (c) 27 (d) 9
  24. 24.If x/3 + 4 = 12, what is x? (a) 32 (b) 24 (c) 48 (d) 8
  25. 25.If 6x + 15 = 3x + 48, what is x? (a) 12 (b) 21 (c) 11 (d) 13
  26. 26.If 5x + 25 = 45, what is x? (a) 14 (b) 5 (c) 20 (d) 4
  27. 27.If x/5 + 2 = 12, what is x? (a) 58 (b) 70 (c) 50 (d) 10
  28. 28.If x/5 + 5 = 7, what is x? (a) 30 (b) 10 (c) 60 (d) 2
  29. 29.If x/4 + 11 = 17, what is x? (a) 24 (b) 57 (c) 112 (d) 6
  30. 30.If 3x + 16 = 37, what is x? (a) 7 (b) 8 (c) 6 (d) 21
  31. 31.If 3x − 2 = 25, what is x? (a) 27 (b) 10 (c) 9 (d) 8
  32. 32.If 5x + 2 = 2x + 38, what is x? (a) 11 (b) 14 (c) 12 (d) 13
  33. 33.If 4x − 11 = 1, what is x? (a) 12 (b) 3 (c) 4 (d) 2
  34. 34.If 4x + 19 = 3x + 23, what is x? (a) 5 (b) 42 (c) 6 (d) 4
  35. 35.If 5x − 30 = 15, what is x? (a) 45 (b) 8 (c) 9 (d) 10
  36. 36.If 2x − 8 = 10, what is x? (a) 18 (b) 9 (c) 10 (d) 1
  37. 37.If 2x + 1 = 7, what is x? (a) 2 (b) 6 (c) 4 (d) 3
  38. 38.If 7x − 65 = 33, what is x? (a) 15 (b) 14 (c) 98 (d) 13
  39. 39.If x/3 + 12 = 24, what is x? (a) 12 (b) 60 (c) 108 (d) 36
  40. 40.If 3x − 3 = 12, what is x? (a) 15 (b) 6 (c) 5 (d) 3

Answer key

  1. 48
  2. 36
  3. 13
  4. 5
  5. 9
  6. 60
  7. 4
  8. 7
  9. 15
  10. 9
  11. 5
  12. 6
  13. 8
  14. 15
  15. 12
  16. 6
  17. 6
  18. 8
  19. 3
  20. 10
  21. 6
  22. 3
  23. 9
  24. 24
  25. 11
  26. 4
  27. 50
  28. 10
  29. 24
  30. 7
  31. 9
  32. 12
  33. 3
  34. 4
  35. 9
  36. 9
  37. 3
  38. 14
  39. 36
  40. 5

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