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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 887 · 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 + 5 = 11, what is x? (a) 64 (b) 39 (c) 24 (d) 6
  2. 2.If x/3 + 7 = 19, what is x? (a) 36 (b) 12 (c) 50 (d) 78
  3. 3.If 4x + 14 = x + 29, what is x? (a) 5 (b) 3 (c) 6 (d) 7
  4. 4.If 6x + 27 = 45, what is x? (a) 3 (b) 18 (c) 12 (d) 4
  5. 5.If 2x + 26 = 30, what is x? (a) 3 (b) 2 (c) 28 (d) 4
  6. 6.If 7x + 22 = 71, what is x? (a) 7 (b) 8 (c) 49 (d) 6
  7. 7.If x/3 + 9 = 12, what is x? (a) 3 (b) 63 (c) 27 (d) 9
  8. 8.If x/3 + 14 = 20, what is x? (a) 46 (b) 6 (c) 18 (d) 102
  9. 9.If 2x − 10 = 12, what is x? (a) 1 (b) 12 (c) 11 (d) 22
  10. 10.If 2x − 8 = 10, what is x? (a) 18 (b) 9 (c) 1 (d) 10
  11. 11.If 4x + 3 = 63, what is x? (a) 14 (b) 15 (c) 16 (d) 60
  12. 12.If 9x + 1 = 109, what is x? (a) 12 (b) 11 (c) 13 (d) 108
  13. 13.If 8x − 41 = 7, what is x? (a) 6 (b) 7 (c) 48 (d) 5
  14. 14.If 3x + 25 = 61, what is x? (a) 36 (b) 11 (c) 13 (d) 12
  15. 15.If 4x + 11 = 51, what is x? (a) 11 (b) 10 (c) 40 (d) 9
  16. 16.If 9x + 28 = 73, what is x? (a) 45 (b) 4 (c) 6 (d) 5
  17. 17.If x/5 + 6 = 9, what is x? (a) 3 (b) 39 (c) 15 (d) 75
  18. 18.If 5x − 10 = 35, what is x? (a) 9 (b) 45 (c) 5 (d) 10
  19. 19.If 8x + 9 = 3x + 39, what is x? (a) 5 (b) 7 (c) 8 (d) 6
  20. 20.If x/4 + 4 = 16, what is x? (a) 80 (b) 12 (c) 48 (d) 60
  21. 21.If 7x − 52 = 4, what is x? (a) 56 (b) 8 (c) 9 (d) 7
  22. 22.If x/5 + 3 = 11, what is x? (a) 40 (b) 52 (c) 70 (d) 8
  23. 23.If 2x + 6 = 30, what is x? (a) 12 (b) 13 (c) 18 (d) 24
  24. 24.If 4x + 13 = 25, what is x? (a) 2 (b) 12 (c) 3 (d) 4
  25. 25.If 7x + 6 = 5x + 20, what is x? (a) 8 (b) 7 (c) 9 (d) 13
  26. 26.If x/4 + 10 = 12, what is x? (a) 38 (b) 8 (c) 2 (d) 88
  27. 27.If 2x + 2 = 20, what is x? (a) 10 (b) 18 (c) 11 (d) 9
  28. 28.If 9x + 4 = 31, what is x? (a) 2 (b) 3 (c) 4 (d) 27
  29. 29.If 8x − 28 = 28, what is x? (a) 6 (b) 7 (c) 56 (d) 8
  30. 30.If x/2 + 13 = 18, what is x? (a) 62 (b) 23 (c) 5 (d) 10
  31. 31.If 3x + 10 = x + 30, what is x? (a) 11 (b) 5 (c) 20 (d) 10
  32. 32.If 4x + 11 = 23, what is x? (a) 4 (b) 2 (c) 12 (d) 3
  33. 33.If 9x − 7 = 29, what is x? (a) 4 (b) 5 (c) 36 (d) 3
  34. 34.If 8x + 1 = 2x + 67, what is x? (a) 11 (b) 13 (c) 12 (d) 10
  35. 35.If x/6 + 1 = 11, what is x? (a) 65 (b) 10 (c) 72 (d) 60
  36. 36.If 4x − 7 = 1, what is x? (a) 3 (b) 8 (c) 2 (d) 1
  37. 37.If 2x − 9 = 7, what is x? (a) 16 (b) 9 (c) 8 (d) 7
  38. 38.If 5x − 21 = 4, what is x? (a) 4 (b) 25 (c) 6 (d) 5
  39. 39.If 5x + 11 = x + 19, what is x? (a) 2 (b) 1 (c) 3 (d) 4
  40. 40.If 5x + 14 = 29, what is x? (a) 4 (b) 3 (c) 15 (d) 2

Answer key

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

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