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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 360 · 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/5 + 4 = 9, what is x? (a) 41 (b) 25 (c) 65 (d) 5
  2. 2.If 5x + 2 = 3x + 8, what is x? (a) 5 (b) 4 (c) 2 (d) 3
  3. 3.If 5x − 14 = 1, what is x? (a) 3 (b) 2 (c) 15 (d) 4
  4. 4.If 6x + 26 = 50, what is x? (a) 24 (b) 5 (c) 4 (d) 3
  5. 5.If x/2 + 1 = 9, what is x? (a) 8 (b) 20 (c) 17 (d) 16
  6. 6.If 8x + 2 = 4x + 26, what is x? (a) 7 (b) 6 (c) 2 (d) 8
  7. 7.If 4x + 3 = x + 30, what is x? (a) 11 (b) 10 (c) 8 (d) 9
  8. 8.If 2x − 10 = 6, what is x? (a) 9 (b) 16 (c) 7 (d) 8
  9. 9.If x/3 + 8 = 20, what is x? (a) 12 (b) 84 (c) 52 (d) 36
  10. 10.If 3x + 11 = 53, what is x? (a) 42 (b) 13 (c) 14 (d) 15
  11. 11.If x/6 + 2 = 6, what is x? (a) 48 (b) 24 (c) 4 (d) 34
  12. 12.If 2x + 2 = 20, what is x? (a) 9 (b) 18 (c) 10 (d) 11
  13. 13.If 3x + 17 = 2x + 23, what is x? (a) 40 (b) 7 (c) 8 (d) 6
  14. 14.If 5x − 7 = 38, what is x? (a) 8 (b) 10 (c) 9 (d) 45
  15. 15.If 7x + 4 = 95, what is x? (a) 13 (b) 91 (c) 14 (d) 12
  16. 16.If 4x + 5 = 3x + 11, what is x? (a) 16 (b) 6 (c) 7 (d) 8
  17. 17.If 4x − 8 = 8, what is x? (a) 3 (b) 16 (c) 5 (d) 4
  18. 18.If 4x + 2 = 2x + 24, what is x? (a) 11 (b) 10 (c) 12 (d) 13
  19. 19.If 9x + 14 = 6x + 20, what is x? (a) 4 (b) 2 (c) 3 (d) 1
  20. 20.If x/6 + 11 = 17, what is x? (a) 36 (b) 6 (c) 168 (d) 91
  21. 21.If 4x + 9 = 37, what is x? (a) 8 (b) 28 (c) 6 (d) 7
  22. 22.If 2x − 1 = 9, what is x? (a) 4 (b) 6 (c) 10 (d) 5
  23. 23.If 6x + 16 = 5x + 28, what is x? (a) 14 (b) 13 (c) 44 (d) 12
  24. 24.If 8x + 6 = 2x + 12, what is x? (a) 2 (b) 4 (c) 3 (d) 1
  25. 25.If 6x + 1 = 2x + 9, what is x? (a) 1 (b) 2 (c) 3 (d) 4
  26. 26.If 4x − 50 = 10, what is x? (a) 16 (b) 60 (c) 14 (d) 15
  27. 27.If 8x − 12 = 60, what is x? (a) 9 (b) 72 (c) 10 (d) 6
  28. 28.If 4x − 16 = 8, what is x? (a) 6 (b) 24 (c) 7 (d) 5
  29. 29.If 5x + 24 = 99, what is x? (a) 16 (b) 14 (c) 75 (d) 15
  30. 30.If 9x − 24 = 3, what is x? (a) 27 (b) 4 (c) 2 (d) 3
  31. 31.If x/5 + 6 = 14, what is x? (a) 64 (b) 8 (c) 100 (d) 40
  32. 32.If 6x + 11 = 47, what is x? (a) 7 (b) 5 (c) 6 (d) 36
  33. 33.If 8x + 16 = x + 86, what is x? (a) 9 (b) 11 (c) 10 (d) 12
  34. 34.If 3x + 12 = x + 20, what is x? (a) 2 (b) 16 (c) 5 (d) 4
  35. 35.If 4x + 18 = x + 48, what is x? (a) 6 (b) 10 (c) 11 (d) 22
  36. 36.If x/6 + 10 = 12, what is x? (a) 2 (b) 132 (c) 62 (d) 12
  37. 37.If 6x + 13 = 5x + 23, what is x? (a) 10 (b) 36 (c) 12 (d) 11
  38. 38.If 3x + 10 = x + 22, what is x? (a) 16 (b) 3 (c) 7 (d) 6
  39. 39.If 3x − 2 = 13, what is x? (a) 6 (b) 4 (c) 5 (d) 15
  40. 40.If 4x + 18 = x + 27, what is x? (a) 4 (b) 5 (c) 3 (d) 15

Answer key

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

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