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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 300 · 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 7x + 10 = 3x + 14, what is x? (a) 2 (b) 1 (c) 3 (d) 6
  2. 2.If 9x − 37 = 8, what is x? (a) 4 (b) 6 (c) 5 (d) 45
  3. 3.If x/3 + 3 = 5, what is x? (a) 6 (b) 24 (c) 12 (d) 2
  4. 4.If 3x + 17 = 2x + 28, what is x? (a) 13 (b) 45 (c) 12 (d) 11
  5. 5.If x/2 + 1 = 13, what is x? (a) 24 (b) 28 (c) 25 (d) 12
  6. 6.If 5x + 24 = 79, what is x? (a) 11 (b) 12 (c) 55 (d) 10
  7. 7.If 4x − 3 = 5, what is x? (a) 3 (b) 1 (c) 2 (d) 8
  8. 8.If x/2 + 14 = 23, what is x? (a) 32 (b) 74 (c) 18 (d) 9
  9. 9.If 4x − 4 = 12, what is x? (a) 2 (b) 5 (c) 4 (d) 16
  10. 10.If 7x + 20 = 5x + 40, what is x? (a) 12 (b) 10 (c) 30 (d) 11
  11. 11.If 8x + 7 = 119, what is x? (a) 14 (b) 15 (c) 112 (d) 13
  12. 12.If x/2 + 8 = 19, what is x? (a) 22 (b) 11 (c) 30 (d) 54
  13. 13.If 3x + 4 = 31, what is x? (a) 10 (b) 9 (c) 8 (d) 27
  14. 14.If 6x + 15 = 57, what is x? (a) 42 (b) 8 (c) 12 (d) 7
  15. 15.If 2x + 22 = 30, what is x? (a) 8 (b) 26 (c) 5 (d) 4
  16. 16.If 8x − 28 = 4, what is x? (a) 5 (b) 4 (c) 3 (d) 32
  17. 17.If 6x + 1 = 79, what is x? (a) 13 (b) 12 (c) 14 (d) 78
  18. 18.If x/5 + 5 = 7, what is x? (a) 60 (b) 30 (c) 10 (d) 2
  19. 19.If 7x − 57 = 48, what is x? (a) 105 (b) 16 (c) 14 (d) 15
  20. 20.If 5x + 28 = 88, what is x? (a) 11 (b) 60 (c) 13 (d) 12
  21. 21.If 4x + 29 = 89, what is x? (a) 60 (b) 14 (c) 16 (d) 15
  22. 22.If 7x − 7 = 98, what is x? (a) 13 (b) 15 (c) 16 (d) 105
  23. 23.If 2x − 9 = 9, what is x? (a) 10 (b) 9 (c) 18 (d) 8
  24. 24.If 2x − 6 = 8, what is x? (a) 7 (b) 1 (c) 8 (d) 14
  25. 25.If 7x − 59 = 39, what is x? (a) 13 (b) 15 (c) 98 (d) 14
  26. 26.If 7x − 1 = 48, what is x? (a) 6 (b) 49 (c) 8 (d) 7
  27. 27.If 6x + 15 = 3x + 51, what is x? (a) 12 (b) 22 (c) 13 (d) 4
  28. 28.If 5x + 17 = 27, what is x? (a) 1 (b) 10 (c) 3 (d) 2
  29. 29.If 7x + 10 = 5x + 26, what is x? (a) 18 (b) 8 (c) 10 (d) 9
  30. 30.If 8x + 2 = 3x + 37, what is x? (a) 7 (b) 8 (c) 9 (d) 6
  31. 31.If 2x + 16 = 28, what is x? (a) 12 (b) 6 (c) 22 (d) 7
  32. 32.If 4x + 4 = 3x + 10, what is x? (a) 6 (b) 14 (c) 7 (d) 8
  33. 33.If x/4 + 3 = 7, what is x? (a) 25 (b) 4 (c) 40 (d) 16
  34. 34.If 3x − 9 = 30, what is x? (a) 13 (b) 14 (c) 39 (d) 7
  35. 35.If 8x + 2 = 2x + 38, what is x? (a) 6 (b) 8 (c) 5 (d) 7
  36. 36.If x/6 + 11 = 17, what is x? (a) 6 (b) 168 (c) 91 (d) 36
  37. 37.If 4x − 7 = 5, what is x? (a) 4 (b) 12 (c) 2 (d) 3
  38. 38.If 9x + 5 = 4x + 20, what is x? (a) 5 (b) 3 (c) 4 (d) 2
  39. 39.If 5x + 22 = 62, what is x? (a) 9 (b) 7 (c) 8 (d) 40
  40. 40.If 3x + 5 = x + 17, what is x? (a) 7 (b) 11 (c) 6 (d) 3

Answer key

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

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