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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 541 · 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 + 3 = 9, what is x? (a) 60 (b) 30 (c) 6 (d) 42
  2. 2.If 4x + 9 = 3x + 14, what is x? (a) 5 (b) 23 (c) 6 (d) 7
  3. 3.If 8x − 45 = 43, what is x? (a) 10 (b) 88 (c) 11 (d) 12
  4. 4.If 7x − 9 = 12, what is x? (a) 3 (b) 4 (c) 21 (d) 2
  5. 5.If 6x + 7 = 49, what is x? (a) 8 (b) 6 (c) 7 (d) 42
  6. 6.If x/3 + 1 = 6, what is x? (a) 21 (b) 15 (c) 5 (d) 17
  7. 7.If 3x + 4 = 37, what is x? (a) 11 (b) 10 (c) 12 (d) 33
  8. 8.If 5x + 26 = 86, what is x? (a) 13 (b) 11 (c) 12 (d) 60
  9. 9.If 2x + 19 = 37, what is x? (a) 28 (b) 18 (c) 10 (d) 9
  10. 10.If 8x − 1 = 15, what is x? (a) 1 (b) 3 (c) 2 (d) 16
  11. 11.If 7x − 16 = 33, what is x? (a) 6 (b) 7 (c) 49 (d) 8
  12. 12.If x/3 + 1 = 9, what is x? (a) 24 (b) 30 (c) 26 (d) 8
  13. 13.If x/3 + 10 = 16, what is x? (a) 18 (b) 38 (c) 78 (d) 6
  14. 14.If 5x + 21 = 41, what is x? (a) 4 (b) 20 (c) 3 (d) 5
  15. 15.If 2x − 3 = 5, what is x? (a) 1 (b) 5 (c) 4 (d) 8
  16. 16.If 9x + 20 = 6x + 50, what is x? (a) 2 (b) 12 (c) 10 (d) 11
  17. 17.If 8x + 20 = 76, what is x? (a) 56 (b) 12 (c) 8 (d) 7
  18. 18.If 9x − 17 = 28, what is x? (a) 45 (b) 5 (c) 6 (d) 4
  19. 19.If x/3 + 2 = 10, what is x? (a) 36 (b) 28 (c) 24 (d) 8
  20. 20.If 6x + 1 = 5x + 9, what is x? (a) 7 (b) 8 (c) 10 (d) 9
  21. 21.If 3x + 1 = 34, what is x? (a) 12 (b) 10 (c) 33 (d) 11
  22. 22.If 8x − 47 = 9, what is x? (a) 8 (b) 56 (c) 6 (d) 7
  23. 23.If x/3 + 4 = 12, what is x? (a) 32 (b) 48 (c) 24 (d) 8
  24. 24.If 3x + 16 = x + 20, what is x? (a) 3 (b) 18 (c) 1 (d) 2
  25. 25.If 4x + 11 = x + 35, what is x? (a) 9 (b) 8 (c) 7 (d) 10
  26. 26.If 4x + 14 = x + 38, what is x? (a) 7 (b) 9 (c) 10 (d) 8
  27. 27.If 8x + 5 = x + 40, what is x? (a) 6 (b) 7 (c) 5 (d) 4
  28. 28.If x/2 + 12 = 20, what is x? (a) 28 (b) 8 (c) 16 (d) 64
  29. 29.If 6x + 17 = 5x + 20, what is x? (a) 37 (b) 4 (c) 5 (d) 3
  30. 30.If x/5 + 5 = 15, what is x? (a) 70 (b) 50 (c) 10 (d) 100
  31. 31.If 3x + 1 = 43, what is x? (a) 13 (b) 15 (c) 42 (d) 14
  32. 32.If 2x − 3 = 9, what is x? (a) 3 (b) 7 (c) 6 (d) 12
  33. 33.If 3x + 20 = x + 22, what is x? (a) 3 (b) 1 (c) 2 (d) 21
  34. 34.If 2x − 6 = 2, what is x? (a) 3 (b) 4 (c) 5 (d) 8
  35. 35.If 7x − 22 = 62, what is x? (a) 13 (b) 11 (c) 12 (d) 84
  36. 36.If x/5 + 4 = 7, what is x? (a) 55 (b) 3 (c) 15 (d) 31
  37. 37.If 2x + 13 = 43, what is x? (a) 16 (b) 30 (c) 28 (d) 15
  38. 38.If 8x + 25 = 41, what is x? (a) 1 (b) 2 (c) 3 (d) 16
  39. 39.If 8x − 27 = 5, what is x? (a) 32 (b) 5 (c) 3 (d) 4
  40. 40.If 4x − 26 = 22, what is x? (a) 11 (b) 48 (c) 13 (d) 12

Answer key

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

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