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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 981 · 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/6 + 3 = 15, what is x? (a) 12 (b) 108 (c) 72 (d) 87
  2. 2.If x/4 + 4 = 14, what is x? (a) 52 (b) 72 (c) 10 (d) 40
  3. 3.If 5x + 19 = 2x + 28, what is x? (a) 5 (b) 3 (c) 4 (d) 2
  4. 4.If 5x + 16 = x + 40, what is x? (a) 6 (b) 7 (c) 14 (d) 4
  5. 5.If x/4 + 8 = 19, what is x? (a) 11 (b) 68 (c) 44 (d) 108
  6. 6.If 4x + 10 = 30, what is x? (a) 5 (b) 10 (c) 20 (d) 6
  7. 7.If 7x − 13 = 1, what is x? (a) 3 (b) 1 (c) 14 (d) 2
  8. 8.If 5x − 2 = 13, what is x? (a) 15 (b) 2 (c) 3 (d) 4
  9. 9.If 3x − 11 = 31, what is x? (a) 13 (b) 15 (c) 42 (d) 14
  10. 10.If 3x − 9 = 6, what is x? (a) 6 (b) 15 (c) 5 (d) 4
  11. 11.If 6x + 7 = 61, what is x? (a) 9 (b) 8 (c) 54 (d) 10
  12. 12.If 7x + 11 = 88, what is x? (a) 12 (b) 11 (c) 10 (d) 77
  13. 13.If 3x + 14 = 2x + 24, what is x? (a) 2 (b) 38 (c) 11 (d) 10
  14. 14.If x/5 + 3 = 6, what is x? (a) 27 (b) 3 (c) 45 (d) 15
  15. 15.If 2x − 4 = 18, what is x? (a) 11 (b) 12 (c) 22 (d) 7
  16. 16.If 8x + 12 = 3x + 27, what is x? (a) 2 (b) 4 (c) 5 (d) 3
  17. 17.If 9x − 41 = 22, what is x? (a) 63 (b) 6 (c) 7 (d) 8
  18. 18.If 2x + 4 = 14, what is x? (a) 10 (b) 5 (c) 6 (d) 9
  19. 19.If x/3 + 7 = 17, what is x? (a) 44 (b) 10 (c) 30 (d) 72
  20. 20.If 6x − 18 = 12, what is x? (a) 30 (b) 4 (c) 5 (d) 6
  21. 21.If x/6 + 5 = 12, what is x? (a) 7 (b) 42 (c) 67 (d) 102
  22. 22.If 7x + 11 = 32, what is x? (a) 4 (b) 3 (c) 2 (d) 21
  23. 23.If 4x + 7 = 3x + 14, what is x? (a) 1 (b) 7 (c) 8 (d) 21
  24. 24.If 3x + 17 = 32, what is x? (a) 4 (b) 6 (c) 15 (d) 5
  25. 25.If 5x + 12 = 22, what is x? (a) 1 (b) 10 (c) 3 (d) 2
  26. 26.If 6x + 12 = 24, what is x? (a) 2 (b) 12 (c) 3 (d) 6
  27. 27.If x/6 + 5 = 9, what is x? (a) 84 (b) 49 (c) 24 (d) 4
  28. 28.If 8x + 18 = 90, what is x? (a) 8 (b) 9 (c) 72 (d) 10
  29. 29.If 4x + 8 = 60, what is x? (a) 17 (b) 13 (c) 14 (d) 52
  30. 30.If x/4 + 14 = 16, what is x? (a) 120 (b) 8 (c) 2 (d) 50
  31. 31.If 6x + 14 = 2x + 54, what is x? (a) 10 (b) 11 (c) 17 (d) 5
  32. 32.If 7x − 26 = 16, what is x? (a) 42 (b) 5 (c) 6 (d) 7
  33. 33.If 5x + 20 = x + 44, what is x? (a) 6 (b) 7 (c) 4 (d) 16
  34. 34.If 9x + 12 = 111, what is x? (a) 11 (b) 12 (c) 99 (d) 10
  35. 35.If 3x + 8 = 2x + 14, what is x? (a) 6 (b) 22 (c) 8 (d) 7
  36. 36.If 5x + 12 = 2x + 27, what is x? (a) 7 (b) 6 (c) 5 (d) 13
  37. 37.If 3x + 15 = 24, what is x? (a) 13 (b) 9 (c) 4 (d) 3
  38. 38.If 5x + 28 = 93, what is x? (a) 65 (b) 12 (c) 13 (d) 14
  39. 39.If 6x − 21 = 33, what is x? (a) 54 (b) 2 (c) 10 (d) 9
  40. 40.If 5x + 2 = 27, what is x? (a) 5 (b) 25 (c) 6 (d) 4

Answer key

  1. 72
  2. 40
  3. 3
  4. 6
  5. 44
  6. 5
  7. 2
  8. 3
  9. 14
  10. 5
  11. 9
  12. 11
  13. 10
  14. 15
  15. 11
  16. 3
  17. 7
  18. 5
  19. 30
  20. 5
  21. 42
  22. 3
  23. 7
  24. 5
  25. 2
  26. 2
  27. 24
  28. 9
  29. 13
  30. 8
  31. 10
  32. 6
  33. 6
  34. 11
  35. 6
  36. 5
  37. 3
  38. 13
  39. 9
  40. 5

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