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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 879 · 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/2 + 2 = 8, what is x? (a) 6 (b) 14 (c) 12 (d) 20
  2. 2.If 3x + 3 = x + 17, what is x? (a) 9 (b) 8 (c) 7 (d) 10
  3. 3.If x/4 + 1 = 3, what is x? (a) 11 (b) 16 (c) 8 (d) 2
  4. 4.If 3x + 13 = 2x + 21, what is x? (a) 9 (b) 34 (c) 8 (d) 10
  5. 5.If 5x + 19 = 29, what is x? (a) 3 (b) 2 (c) 1 (d) 10
  6. 6.If 9x + 29 = 119, what is x? (a) 9 (b) 90 (c) 10 (d) 11
  7. 7.If 3x − 11 = 28, what is x? (a) 13 (b) 14 (c) 39 (d) 12
  8. 8.If 3x − 25 = 2, what is x? (a) 27 (b) 10 (c) 9 (d) 8
  9. 9.If 5x + 30 = 75, what is x? (a) 45 (b) 21 (c) 10 (d) 9
  10. 10.If 9x + 16 = 2x + 30, what is x? (a) 1 (b) 3 (c) 2 (d) 4
  11. 11.If 3x + 4 = x + 10, what is x? (a) 4 (b) 5 (c) 7 (d) 3
  12. 12.If x/2 + 1 = 4, what is x? (a) 3 (b) 6 (c) 10 (d) 7
  13. 13.If 4x − 1 = 23, what is x? (a) 5 (b) 24 (c) 6 (d) 7
  14. 14.If 4x + 10 = 58, what is x? (a) 48 (b) 12 (c) 13 (d) 17
  15. 15.If 9x + 11 = 47, what is x? (a) 4 (b) 36 (c) 5 (d) 3
  16. 16.If 4x + 26 = 74, what is x? (a) 25 (b) 13 (c) 48 (d) 12
  17. 17.If 3x + 15 = 2x + 27, what is x? (a) 12 (b) 14 (c) 42 (d) 13
  18. 18.If x/4 + 2 = 5, what is x? (a) 3 (b) 18 (c) 28 (d) 12
  19. 19.If x/2 + 15 = 22, what is x? (a) 74 (b) 7 (c) 29 (d) 14
  20. 20.If 4x − 5 = 31, what is x? (a) 9 (b) 36 (c) 10 (d) 8
  21. 21.If 7x − 12 = 16, what is x? (a) 4 (b) 3 (c) 5 (d) 28
  22. 22.If 3x − 8 = 10, what is x? (a) 18 (b) 7 (c) 5 (d) 6
  23. 23.If x/2 + 4 = 8, what is x? (a) 4 (b) 12 (c) 24 (d) 8
  24. 24.If x/3 + 10 = 19, what is x? (a) 27 (b) 87 (c) 9 (d) 47
  25. 25.If 4x + 16 = x + 37, what is x? (a) 6 (b) 7 (c) 8 (d) 9
  26. 26.If 7x + 1 = 4x + 34, what is x? (a) 11 (b) 13 (c) 3 (d) 12
  27. 27.If 6x + 30 = 66, what is x? (a) 16 (b) 36 (c) 6 (d) 7
  28. 28.If 2x − 6 = 20, what is x? (a) 14 (b) 13 (c) 26 (d) 7
  29. 29.If 8x + 14 = 78, what is x? (a) 64 (b) 7 (c) 9 (d) 8
  30. 30.If 6x + 10 = 2x + 26, what is x? (a) 5 (b) 9 (c) 2 (d) 4
  31. 31.If 3x − 8 = 7, what is x? (a) 6 (b) 15 (c) 5 (d) 4
  32. 32.If 6x − 43 = 17, what is x? (a) 10 (b) 60 (c) 9 (d) 11
  33. 33.If 5x + 30 = 45, what is x? (a) 3 (b) 15 (c) 4 (d) 2
  34. 34.If 7x + 27 = 132, what is x? (a) 105 (b) 14 (c) 16 (d) 15
  35. 35.If 5x + 25 = 95, what is x? (a) 14 (b) 70 (c) 24 (d) 15
  36. 36.If 3x − 37 = 5, what is x? (a) 42 (b) 15 (c) 13 (d) 14
  37. 37.If 9x + 1 = x + 25, what is x? (a) 5 (b) 2 (c) 3 (d) 4
  38. 38.If 4x + 8 = 3x + 10, what is x? (a) 2 (b) 18 (c) 3 (d) 4
  39. 39.If x/2 + 14 = 26, what is x? (a) 38 (b) 24 (c) 12 (d) 80
  40. 40.If 4x + 20 = 64, what is x? (a) 21 (b) 44 (c) 11 (d) 12

Answer key

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

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