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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 900 · 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 5x − 4 = 66, what is x? (a) 14 (b) 13 (c) 70 (d) 15
  2. 2.If 6x − 39 = 9, what is x? (a) 8 (b) 7 (c) 48 (d) 9
  3. 3.If x/5 + 5 = 14, what is x? (a) 9 (b) 65 (c) 95 (d) 45
  4. 4.If 4x − 12 = 8, what is x? (a) 4 (b) 6 (c) 20 (d) 5
  5. 5.If 7x + 19 = x + 61, what is x? (a) 7 (b) 6 (c) 9 (d) 8
  6. 6.If 7x + 9 = 65, what is x? (a) 56 (b) 9 (c) 7 (d) 8
  7. 7.If 6x − 66 = 18, what is x? (a) 15 (b) 14 (c) 13 (d) 84
  8. 8.If 9x + 19 = 127, what is x? (a) 13 (b) 12 (c) 108 (d) 11
  9. 9.If 4x + 15 = 35, what is x? (a) 4 (b) 6 (c) 20 (d) 5
  10. 10.If 4x + 13 = 2x + 19, what is x? (a) 1 (b) 16 (c) 4 (d) 3
  11. 11.If 4x + 10 = 70, what is x? (a) 15 (b) 60 (c) 16 (d) 20
  12. 12.If 8x − 1 = 15, what is x? (a) 3 (b) 16 (c) 2 (d) 1
  13. 13.If 8x − 8 = 48, what is x? (a) 5 (b) 7 (c) 8 (d) 56
  14. 14.If 5x − 1 = 24, what is x? (a) 6 (b) 5 (c) 25 (d) 4
  15. 15.If 8x + 14 = x + 49, what is x? (a) 9 (b) 6 (c) 7 (d) 5
  16. 16.If x/5 + 3 = 9, what is x? (a) 6 (b) 42 (c) 30 (d) 60
  17. 17.If 9x − 13 = 5, what is x? (a) 3 (b) 18 (c) 1 (d) 2
  18. 18.If 8x + 21 = 117, what is x? (a) 12 (b) 96 (c) 13 (d) 11
  19. 19.If 2x + 4 = 10, what is x? (a) 7 (b) 3 (c) 4 (d) 6
  20. 20.If x/6 + 6 = 18, what is x? (a) 102 (b) 144 (c) 12 (d) 72
  21. 21.If 4x + 14 = x + 47, what is x? (a) 11 (b) 13 (c) 10 (d) 12
  22. 22.If 8x − 23 = 49, what is x? (a) 9 (b) 8 (c) 72 (d) 10
  23. 23.If 2x + 21 = 29, what is x? (a) 25 (b) 8 (c) 5 (d) 4
  24. 24.If 8x − 42 = 78, what is x? (a) 16 (b) 15 (c) 120 (d) 14
  25. 25.If 3x + 13 = 52, what is x? (a) 13 (b) 12 (c) 14 (d) 39
  26. 26.If 6x + 3 = 51, what is x? (a) 48 (b) 7 (c) 9 (d) 8
  27. 27.If x/3 + 1 = 7, what is x? (a) 6 (b) 24 (c) 20 (d) 18
  28. 28.If 5x + 8 = 83, what is x? (a) 15 (b) 16 (c) 75 (d) 14
  29. 29.If 4x + 27 = 35, what is x? (a) 1 (b) 2 (c) 3 (d) 8
  30. 30.If 7x + 24 = 115, what is x? (a) 13 (b) 91 (c) 12 (d) 14
  31. 31.If 5x − 5 = 30, what is x? (a) 8 (b) 35 (c) 5 (d) 7
  32. 32.If 6x − 5 = 37, what is x? (a) 6 (b) 7 (c) 42 (d) 8
  33. 33.If 8x − 99 = 5, what is x? (a) 12 (b) 13 (c) 14 (d) 104
  34. 34.If 7x + 5 = 82, what is x? (a) 12 (b) 10 (c) 77 (d) 11
  35. 35.If 5x + 19 = 44, what is x? (a) 25 (b) 6 (c) 4 (d) 5
  36. 36.If x/4 + 5 = 17, what is x? (a) 88 (b) 63 (c) 12 (d) 48
  37. 37.If x/3 + 6 = 8, what is x? (a) 18 (b) 2 (c) 6 (d) 42
  38. 38.If 6x + 18 = 36, what is x? (a) 3 (b) 18 (c) 9 (d) 4
  39. 39.If 5x + 8 = 48, what is x? (a) 8 (b) 7 (c) 9 (d) 40
  40. 40.If x/6 + 1 = 6, what is x? (a) 5 (b) 42 (c) 35 (d) 30

Answer key

  1. 14
  2. 8
  3. 45
  4. 5
  5. 7
  6. 8
  7. 14
  8. 12
  9. 5
  10. 3
  11. 15
  12. 2
  13. 7
  14. 5
  15. 5
  16. 30
  17. 2
  18. 12
  19. 3
  20. 72
  21. 11
  22. 9
  23. 4
  24. 15
  25. 13
  26. 8
  27. 18
  28. 15
  29. 2
  30. 13
  31. 7
  32. 7
  33. 13
  34. 11
  35. 5
  36. 48
  37. 6
  38. 3
  39. 8
  40. 30

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