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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 845 · 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/4 + 1 = 6, what is x? (a) 5 (b) 20 (c) 28 (d) 23
  2. 2.If 2x + 7 = 11, what is x? (a) 4 (b) 2 (c) 3 (d) 9
  3. 3.If x/5 + 1 = 13, what is x? (a) 64 (b) 60 (c) 12 (d) 70
  4. 4.If x/4 + 10 = 19, what is x? (a) 9 (b) 116 (c) 36 (d) 66
  5. 5.If x/2 + 10 = 20, what is x? (a) 30 (b) 20 (c) 60 (d) 10
  6. 6.If x/4 + 12 = 23, what is x? (a) 80 (b) 44 (c) 140 (d) 11
  7. 7.If 5x + 1 = 3x + 13, what is x? (a) 7 (b) 5 (c) 6 (d) 8
  8. 8.If 4x + 12 = 32, what is x? (a) 6 (b) 5 (c) 20 (d) 11
  9. 9.If x/6 + 5 = 16, what is x? (a) 91 (b) 66 (c) 126 (d) 11
  10. 10.If x/2 + 2 = 12, what is x? (a) 28 (b) 22 (c) 10 (d) 20
  11. 11.If 8x + 3 = 19, what is x? (a) 2 (b) 16 (c) 1 (d) 3
  12. 12.If 6x + 3 = 5x + 10, what is x? (a) 8 (b) 7 (c) 9 (d) 13
  13. 13.If 2x − 1 = 7, what is x? (a) 5 (b) 8 (c) 3 (d) 4
  14. 14.If x/2 + 10 = 17, what is x? (a) 24 (b) 14 (c) 7 (d) 54
  15. 15.If x/4 + 5 = 17, what is x? (a) 48 (b) 12 (c) 63 (d) 88
  16. 16.If x/6 + 3 = 7, what is x? (a) 24 (b) 60 (c) 4 (d) 39
  17. 17.If 9x + 13 = 8x + 19, what is x? (a) 32 (b) 8 (c) 7 (d) 6
  18. 18.If 4x − 9 = 35, what is x? (a) 12 (b) 44 (c) 10 (d) 11
  19. 19.If 3x + 19 = x + 31, what is x? (a) 7 (b) 6 (c) 3 (d) 25
  20. 20.If x/2 + 12 = 16, what is x? (a) 8 (b) 56 (c) 4 (d) 20
  21. 21.If 4x + 27 = 67, what is x? (a) 40 (b) 10 (c) 11 (d) 9
  22. 22.If 9x + 13 = 5x + 29, what is x? (a) 4 (b) 3 (c) 5 (d) 6
  23. 23.If 5x + 19 = 2x + 43, what is x? (a) 7 (b) 8 (c) 10 (d) 9
  24. 24.If x/2 + 12 = 20, what is x? (a) 16 (b) 28 (c) 8 (d) 64
  25. 25.If 3x − 17 = 7, what is x? (a) 9 (b) 24 (c) 8 (d) 7
  26. 26.If 8x + 19 = 51, what is x? (a) 5 (b) 3 (c) 32 (d) 4
  27. 27.If 4x + 20 = 28, what is x? (a) 3 (b) 12 (c) 2 (d) 8
  28. 28.If x/3 + 5 = 17, what is x? (a) 12 (b) 66 (c) 36 (d) 46
  29. 29.If 9x − 21 = 6, what is x? (a) 2 (b) 4 (c) 3 (d) 27
  30. 30.If 2x − 14 = 4, what is x? (a) 8 (b) 10 (c) 18 (d) 9
  31. 31.If 7x + 27 = 69, what is x? (a) 5 (b) 7 (c) 6 (d) 42
  32. 32.If 3x − 7 = 2, what is x? (a) 3 (b) 4 (c) 2 (d) 9
  33. 33.If 2x − 3 = 3, what is x? (a) 3 (b) 6 (c) 4 (d) 2
  34. 34.If 8x + 16 = 4x + 28, what is x? (a) 11 (b) 4 (c) 3 (d) 1
  35. 35.If x/2 + 9 = 20, what is x? (a) 58 (b) 22 (c) 31 (d) 11
  36. 36.If 2x − 1 = 27, what is x? (a) 13 (b) 28 (c) 15 (d) 14
  37. 37.If 5x + 20 = 4x + 28, what is x? (a) 8 (b) 10 (c) 9 (d) 48
  38. 38.If 7x + 30 = 107, what is x? (a) 12 (b) 10 (c) 77 (d) 11
  39. 39.If 7x + 10 = 24, what is x? (a) 3 (b) 1 (c) 14 (d) 2
  40. 40.If 7x − 33 = 72, what is x? (a) 105 (b) 14 (c) 15 (d) 16

Answer key

  1. 20
  2. 2
  3. 60
  4. 36
  5. 20
  6. 44
  7. 6
  8. 5
  9. 66
  10. 20
  11. 2
  12. 7
  13. 4
  14. 14
  15. 48
  16. 24
  17. 6
  18. 11
  19. 6
  20. 8
  21. 10
  22. 4
  23. 8
  24. 16
  25. 8
  26. 4
  27. 2
  28. 36
  29. 3
  30. 9
  31. 6
  32. 3
  33. 3
  34. 3
  35. 22
  36. 14
  37. 8
  38. 11
  39. 2
  40. 15

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