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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 127 · 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 + 4 = x + 7, what is x? (a) 4 (b) 3 (c) 2 (d) 1
  2. 2.If 3x + 17 = x + 39, what is x? (a) 12 (b) 13 (c) 28 (d) 11
  3. 3.If 3x + 13 = 19, what is x? (a) 2 (b) 1 (c) 6 (d) 3
  4. 4.If x/3 + 10 = 17, what is x? (a) 7 (b) 41 (c) 81 (d) 21
  5. 5.If x/5 + 15 = 20, what is x? (a) 175 (b) 5 (c) 85 (d) 25
  6. 6.If 6x + 1 = 37, what is x? (a) 5 (b) 7 (c) 36 (d) 6
  7. 7.If 3x + 1 = 2x + 3, what is x? (a) 3 (b) 1 (c) 4 (d) 2
  8. 8.If 3x + 4 = 31, what is x? (a) 27 (b) 8 (c) 10 (d) 9
  9. 9.If 4x + 11 = x + 26, what is x? (a) 3 (b) 5 (c) 7 (d) 6
  10. 10.If 8x + 10 = 90, what is x? (a) 10 (b) 11 (c) 9 (d) 80
  11. 11.If 7x + 13 = 118, what is x? (a) 15 (b) 14 (c) 16 (d) 105
  12. 12.If 4x + 11 = 3x + 23, what is x? (a) 12 (b) 34 (c) 13 (d) 14
  13. 13.If 3x + 15 = x + 19, what is x? (a) 1 (b) 17 (c) 2 (d) 3
  14. 14.If 3x + 8 = 2x + 18, what is x? (a) 11 (b) 2 (c) 10 (d) 26
  15. 15.If 3x + 1 = 19, what is x? (a) 6 (b) 18 (c) 7 (d) 5
  16. 16.If 5x + 8 = 4x + 14, what is x? (a) 22 (b) 8 (c) 7 (d) 6
  17. 17.If 6x + 24 = 48, what is x? (a) 12 (b) 4 (c) 24 (d) 5
  18. 18.If x/3 + 4 = 10, what is x? (a) 6 (b) 26 (c) 42 (d) 18
  19. 19.If 2x + 20 = 24, what is x? (a) 22 (b) 3 (c) 4 (d) 2
  20. 20.If x/3 + 7 = 9, what is x? (a) 48 (b) 2 (c) 6 (d) 20
  21. 21.If x/5 + 7 = 12, what is x? (a) 95 (b) 5 (c) 53 (d) 25
  22. 22.If 8x − 1 = 23, what is x? (a) 3 (b) 24 (c) 4 (d) 2
  23. 23.If 8x + 27 = 67, what is x? (a) 5 (b) 40 (c) 4 (d) 6
  24. 24.If 8x + 6 = 2x + 24, what is x? (a) 5 (b) 2 (c) 3 (d) 4
  25. 25.If 2x − 16 = 14, what is x? (a) 14 (b) 16 (c) 30 (d) 15
  26. 26.If 8x + 2 = 2x + 50, what is x? (a) 9 (b) 10 (c) 7 (d) 8
  27. 27.If 4x − 42 = 6, what is x? (a) 12 (b) 11 (c) 13 (d) 48
  28. 28.If x/6 + 15 = 23, what is x? (a) 228 (b) 8 (c) 123 (d) 48
  29. 29.If x/3 + 4 = 13, what is x? (a) 51 (b) 27 (c) 35 (d) 9
  30. 30.If 4x − 8 = 12, what is x? (a) 5 (b) 6 (c) 20 (d) 1
  31. 31.If 8x + 20 = 6x + 38, what is x? (a) 29 (b) 10 (c) 11 (d) 9
  32. 32.If 5x − 9 = 11, what is x? (a) 20 (b) 5 (c) 3 (d) 4
  33. 33.If x/4 + 1 = 11, what is x? (a) 40 (b) 48 (c) 10 (d) 43
  34. 34.If x/5 + 5 = 13, what is x? (a) 40 (b) 8 (c) 60 (d) 90
  35. 35.If 3x − 5 = 31, what is x? (a) 11 (b) 12 (c) 36 (d) 13
  36. 36.If x/4 + 7 = 14, what is x? (a) 49 (b) 7 (c) 84 (d) 28
  37. 37.If x/5 + 2 = 8, what is x? (a) 30 (b) 50 (c) 38 (d) 6
  38. 38.If 5x + 2 = 3x + 18, what is x? (a) 10 (b) 2 (c) 9 (d) 8
  39. 39.If 2x − 2 = 8, what is x? (a) 10 (b) 3 (c) 6 (d) 5
  40. 40.If 9x − 42 = 3, what is x? (a) 6 (b) 5 (c) 4 (d) 45

Answer key

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

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