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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 526 · 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/6 + 8 = 15, what is x? (a) 82 (b) 7 (c) 42 (d) 138
  2. 2.If 8x − 49 = 15, what is x? (a) 8 (b) 64 (c) 7 (d) 9
  3. 3.If 8x + 1 = 6x + 11, what is x? (a) 4 (b) 7 (c) 6 (d) 5
  4. 4.If 7x + 24 = 87, what is x? (a) 8 (b) 9 (c) 10 (d) 63
  5. 5.If x/3 + 5 = 7, what is x? (a) 36 (b) 16 (c) 2 (d) 6
  6. 6.If 8x + 4 = 20, what is x? (a) 2 (b) 1 (c) 3 (d) 16
  7. 7.If 8x + 30 = 70, what is x? (a) 6 (b) 4 (c) 40 (d) 5
  8. 8.If x/4 + 2 = 13, what is x? (a) 60 (b) 11 (c) 44 (d) 50
  9. 9.If 7x + 26 = 103, what is x? (a) 77 (b) 12 (c) 11 (d) 10
  10. 10.If 8x + 8 = 48, what is x? (a) 40 (b) 6 (c) 7 (d) 5
  11. 11.If 6x + 10 = 82, what is x? (a) 12 (b) 13 (c) 11 (d) 72
  12. 12.If 5x − 2 = 8, what is x? (a) 3 (b) 1 (c) 10 (d) 2
  13. 13.If x/2 + 2 = 12, what is x? (a) 20 (b) 10 (c) 28 (d) 22
  14. 14.If 9x + 8 = 6x + 11, what is x? (a) 4 (b) 2 (c) 3 (d) 1
  15. 15.If 4x + 17 = x + 41, what is x? (a) 10 (b) 7 (c) 9 (d) 8
  16. 16.If 5x − 5 = 55, what is x? (a) 60 (b) 13 (c) 10 (d) 12
  17. 17.If 3x + 28 = 64, what is x? (a) 36 (b) 11 (c) 12 (d) 13
  18. 18.If 2x − 6 = 18, what is x? (a) 13 (b) 12 (c) 6 (d) 24
  19. 19.If 6x − 54 = 6, what is x? (a) 9 (b) 11 (c) 60 (d) 10
  20. 20.If 9x + 24 = 150, what is x? (a) 14 (b) 13 (c) 15 (d) 126
  21. 21.If 8x + 22 = 70, what is x? (a) 7 (b) 5 (c) 48 (d) 6
  22. 22.If 5x − 3 = 12, what is x? (a) 15 (b) 3 (c) 4 (d) 2
  23. 23.If 9x + 12 = 120, what is x? (a) 11 (b) 12 (c) 13 (d) 108
  24. 24.If 8x − 9 = 7, what is x? (a) 3 (b) 16 (c) 2 (d) 1
  25. 25.If 8x + 3 = 3x + 13, what is x? (a) 3 (b) 2 (c) 4 (d) 1
  26. 26.If 4x − 30 = 30, what is x? (a) 16 (b) 14 (c) 60 (d) 15
  27. 27.If 4x + 15 = 2x + 23, what is x? (a) 5 (b) 19 (c) 4 (d) 6
  28. 28.If 3x + 16 = 34, what is x? (a) 6 (b) 18 (c) 5 (d) 7
  29. 29.If 4x + 12 = 2x + 20, what is x? (a) 4 (b) 16 (c) 5 (d) 6
  30. 30.If 7x + 30 = 58, what is x? (a) 28 (b) 4 (c) 3 (d) 5
  31. 31.If 6x − 15 = 9, what is x? (a) 5 (b) 4 (c) 24 (d) 3
  32. 32.If 7x + 13 = 6x + 16, what is x? (a) 4 (b) 3 (c) 5 (d) 29
  33. 33.If 8x − 1 = 31, what is x? (a) 5 (b) 32 (c) 4 (d) 3
  34. 34.If x/6 + 4 = 8, what is x? (a) 24 (b) 4 (c) 44 (d) 72
  35. 35.If 7x − 18 = 66, what is x? (a) 13 (b) 12 (c) 11 (d) 84
  36. 36.If 8x + 20 = 100, what is x? (a) 11 (b) 10 (c) 80 (d) 15
  37. 37.If x/3 + 12 = 18, what is x? (a) 42 (b) 6 (c) 90 (d) 18
  38. 38.If x/5 + 2 = 12, what is x? (a) 70 (b) 50 (c) 10 (d) 58
  39. 39.If 2x − 20 = 2, what is x? (a) 12 (b) 22 (c) 11 (d) 10
  40. 40.If x/5 + 5 = 8, what is x? (a) 35 (b) 15 (c) 3 (d) 65

Answer key

  1. 42
  2. 8
  3. 5
  4. 9
  5. 6
  6. 2
  7. 5
  8. 44
  9. 11
  10. 5
  11. 12
  12. 2
  13. 20
  14. 1
  15. 8
  16. 12
  17. 12
  18. 12
  19. 10
  20. 14
  21. 6
  22. 3
  23. 12
  24. 2
  25. 2
  26. 15
  27. 4
  28. 6
  29. 4
  30. 4
  31. 4
  32. 3
  33. 4
  34. 24
  35. 12
  36. 10
  37. 18
  38. 50
  39. 11
  40. 15

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