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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 694 · 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 9x − 9 = 9, what is x? (a) 3 (b) 1 (c) 18 (d) 2
  2. 2.If 8x + 10 = 90, what is x? (a) 80 (b) 10 (c) 11 (d) 9
  3. 3.If 2x + 9 = 37, what is x? (a) 28 (b) 23 (c) 15 (d) 14
  4. 4.If 7x + 10 = 5x + 34, what is x? (a) 12 (b) 13 (c) 22 (d) 2
  5. 5.If 3x + 12 = 57, what is x? (a) 45 (b) 16 (c) 15 (d) 23
  6. 6.If 7x + 20 = 90, what is x? (a) 11 (b) 70 (c) 9 (d) 10
  7. 7.If 7x − 26 = 44, what is x? (a) 70 (b) 9 (c) 10 (d) 11
  8. 8.If 3x + 30 = 36, what is x? (a) 3 (b) 22 (c) 6 (d) 2
  9. 9.If 9x + 1 = x + 65, what is x? (a) 9 (b) 8 (c) 7 (d) 10
  10. 10.If x/3 + 1 = 3, what is x? (a) 8 (b) 6 (c) 2 (d) 12
  11. 11.If 6x + 7 = 97, what is x? (a) 14 (b) 90 (c) 15 (d) 16
  12. 12.If 9x + 11 = 65, what is x? (a) 6 (b) 7 (c) 54 (d) 5
  13. 13.If 8x + 12 = 36, what is x? (a) 3 (b) 6 (c) 4 (d) 24
  14. 14.If 5x + 7 = x + 35, what is x? (a) 9 (b) 7 (c) 8 (d) 6
  15. 15.If 8x − 12 = 52, what is x? (a) 9 (b) 64 (c) 5 (d) 8
  16. 16.If 2x + 17 = 29, what is x? (a) 12 (b) 6 (c) 23 (d) 7
  17. 17.If 8x − 5 = 51, what is x? (a) 7 (b) 6 (c) 56 (d) 8
  18. 18.If 4x + 5 = x + 11, what is x? (a) 1 (b) 2 (c) 4 (d) 3
  19. 19.If 6x + 7 = x + 47, what is x? (a) 8 (b) 9 (c) 7 (d) 10
  20. 20.If 6x − 27 = 45, what is x? (a) 13 (b) 3 (c) 72 (d) 12
  21. 21.If 3x + 20 = 38, what is x? (a) 7 (b) 5 (c) 6 (d) 18
  22. 22.If 4x + 1 = 2x + 3, what is x? (a) 4 (b) 1 (c) 3 (d) 2
  23. 23.If 3x − 22 = 20, what is x? (a) 13 (b) 42 (c) 14 (d) 15
  24. 24.If 9x + 20 = 92, what is x? (a) 9 (b) 8 (c) 72 (d) 7
  25. 25.If 6x + 20 = 38, what is x? (a) 4 (b) 3 (c) 18 (d) 2
  26. 26.If 5x + 20 = 65, what is x? (a) 10 (b) 9 (c) 17 (d) 45
  27. 27.If 4x + 15 = 3x + 22, what is x? (a) 1 (b) 37 (c) 8 (d) 7
  28. 28.If 7x − 22 = 48, what is x? (a) 11 (b) 9 (c) 70 (d) 10
  29. 29.If 7x + 19 = 2x + 59, what is x? (a) 9 (b) 8 (c) 10 (d) 7
  30. 30.If 5x + 19 = 2x + 43, what is x? (a) 10 (b) 7 (c) 8 (d) 9
  31. 31.If 7x + 7 = 3x + 35, what is x? (a) 9 (b) 6 (c) 8 (d) 7
  32. 32.If 5x + 11 = 2x + 26, what is x? (a) 7 (b) 4 (c) 6 (d) 5
  33. 33.If 3x + 3 = 18, what is x? (a) 6 (b) 5 (c) 15 (d) 7
  34. 34.If 3x + 10 = 16, what is x? (a) 6 (b) 1 (c) 2 (d) 3
  35. 35.If 5x − 8 = 2, what is x? (a) 2 (b) 10 (c) 1 (d) 3
  36. 36.If x/4 + 6 = 8, what is x? (a) 26 (b) 2 (c) 8 (d) 56
  37. 37.If 9x + 4 = 3x + 64, what is x? (a) 5 (b) 11 (c) 10 (d) 12
  38. 38.If x/3 + 15 = 25, what is x? (a) 10 (b) 60 (c) 120 (d) 30
  39. 39.If 5x + 9 = 19, what is x? (a) 2 (b) 3 (c) 10 (d) 1
  40. 40.If x/2 + 2 = 12, what is x? (a) 20 (b) 22 (c) 28 (d) 10

Answer key

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

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