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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 112 · 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 + 28 = 43, what is x? (a) 6 (b) 15 (c) 4 (d) 5
  2. 2.If 5x − 3 = 17, what is x? (a) 3 (b) 5 (c) 4 (d) 20
  3. 3.If 2x − 27 = 1, what is x? (a) 28 (b) 15 (c) 14 (d) 13
  4. 4.If x/2 + 5 = 13, what is x? (a) 8 (b) 16 (c) 36 (d) 21
  5. 5.If 7x − 60 = 24, what is x? (a) 11 (b) 13 (c) 84 (d) 12
  6. 6.If 4x − 22 = 30, what is x? (a) 14 (b) 2 (c) 13 (d) 52
  7. 7.If x/2 + 14 = 19, what is x? (a) 10 (b) 5 (c) 66 (d) 24
  8. 8.If 4x + 19 = 67, what is x? (a) 48 (b) 13 (c) 11 (d) 12
  9. 9.If 3x + 15 = 2x + 25, what is x? (a) 40 (b) 11 (c) 2 (d) 10
  10. 10.If 5x + 19 = 3x + 43, what is x? (a) 13 (b) 12 (c) 3 (d) 31
  11. 11.If 3x − 9 = 24, what is x? (a) 11 (b) 33 (c) 5 (d) 12
  12. 12.If 4x − 14 = 2, what is x? (a) 4 (b) 16 (c) 3 (d) 5
  13. 13.If x/3 + 5 = 16, what is x? (a) 43 (b) 63 (c) 11 (d) 33
  14. 14.If 4x − 18 = 6, what is x? (a) 7 (b) 5 (c) 24 (d) 6
  15. 15.If 3x − 13 = 2, what is x? (a) 4 (b) 15 (c) 6 (d) 5
  16. 16.If 5x − 35 = 15, what is x? (a) 10 (b) 11 (c) 50 (d) 9
  17. 17.If 4x + 11 = 2x + 25, what is x? (a) 8 (b) 7 (c) 9 (d) 18
  18. 18.If 6x − 17 = 1, what is x? (a) 4 (b) 18 (c) 3 (d) 2
  19. 19.If 6x − 46 = 26, what is x? (a) 11 (b) 12 (c) 72 (d) 13
  20. 20.If x/2 + 9 = 11, what is x? (a) 13 (b) 2 (c) 4 (d) 40
  21. 21.If 6x + 8 = 92, what is x? (a) 14 (b) 13 (c) 84 (d) 15
  22. 22.If 3x + 12 = 2x + 21, what is x? (a) 10 (b) 9 (c) 11 (d) 33
  23. 23.If x/3 + 11 = 14, what is x? (a) 3 (b) 75 (c) 31 (d) 9
  24. 24.If x/4 + 13 = 18, what is x? (a) 5 (b) 20 (c) 59 (d) 124
  25. 25.If x/2 + 15 = 17, what is x? (a) 19 (b) 4 (c) 64 (d) 2
  26. 26.If 8x + 7 = 47, what is x? (a) 4 (b) 5 (c) 6 (d) 40
  27. 27.If 9x − 21 = 87, what is x? (a) 11 (b) 12 (c) 108 (d) 13
  28. 28.If 2x − 12 = 6, what is x? (a) 8 (b) 9 (c) 18 (d) 10
  29. 29.If 8x + 2 = 50, what is x? (a) 7 (b) 48 (c) 5 (d) 6
  30. 30.If x/5 + 10 = 16, what is x? (a) 6 (b) 30 (c) 70 (d) 130
  31. 31.If x/2 + 15 = 18, what is x? (a) 21 (b) 66 (c) 6 (d) 3
  32. 32.If 5x + 16 = 31, what is x? (a) 2 (b) 3 (c) 4 (d) 15
  33. 33.If 7x − 1 = 48, what is x? (a) 49 (b) 7 (c) 8 (d) 6
  34. 34.If 7x − 35 = 7, what is x? (a) 42 (b) 7 (c) 5 (d) 6
  35. 35.If 6x − 32 = 4, what is x? (a) 7 (b) 6 (c) 36 (d) 5
  36. 36.If 4x + 15 = 2x + 33, what is x? (a) 9 (b) 24 (c) 10 (d) 3
  37. 37.If 4x + 5 = 45, what is x? (a) 40 (b) 11 (c) 9 (d) 10
  38. 38.If 6x + 4 = 82, what is x? (a) 78 (b) 12 (c) 13 (d) 14
  39. 39.If x/4 + 3 = 13, what is x? (a) 64 (b) 10 (c) 49 (d) 40
  40. 40.If x/2 + 7 = 9, what is x? (a) 4 (b) 2 (c) 32 (d) 11

Answer key

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

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