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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 665 · 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 6x − 24 = 66, what is x? (a) 7 (b) 90 (c) 16 (d) 15
  2. 2.If 7x + 6 = 3x + 18, what is x? (a) 5 (b) 6 (c) 3 (d) 4
  3. 3.If 7x + 15 = 85, what is x? (a) 10 (b) 9 (c) 70 (d) 11
  4. 4.If 7x + 3 = 80, what is x? (a) 77 (b) 10 (c) 12 (d) 11
  5. 5.If 6x + 12 = x + 17, what is x? (a) 1 (b) 2 (c) 3 (d) 4
  6. 6.If 5x + 4 = 69, what is x? (a) 13 (b) 65 (c) 14 (d) 12
  7. 7.If 4x + 2 = 2x + 10, what is x? (a) 3 (b) 5 (c) 4 (d) 6
  8. 8.If x/3 + 9 = 11, what is x? (a) 60 (b) 6 (c) 2 (d) 24
  9. 9.If 2x − 8 = 2, what is x? (a) 4 (b) 5 (c) 10 (d) 6
  10. 10.If 4x + 8 = 2x + 18, what is x? (a) 13 (b) 7 (c) 5 (d) 6
  11. 11.If 9x − 31 = 86, what is x? (a) 13 (b) 12 (c) 14 (d) 117
  12. 12.If 4x + 5 = 25, what is x? (a) 4 (b) 5 (c) 6 (d) 20
  13. 13.If 2x + 5 = 23, what is x? (a) 10 (b) 18 (c) 9 (d) 14
  14. 14.If 4x − 14 = 46, what is x? (a) 15 (b) 16 (c) 60 (d) 8
  15. 15.If 3x + 1 = 2x + 7, what is x? (a) 8 (b) 6 (c) 5 (d) 7
  16. 16.If 4x − 17 = 11, what is x? (a) 6 (b) 7 (c) 8 (d) 28
  17. 17.If 5x − 20 = 10, what is x? (a) 5 (b) 30 (c) 7 (d) 6
  18. 18.If 8x + 16 = 128, what is x? (a) 18 (b) 112 (c) 14 (d) 15
  19. 19.If 3x − 10 = 11, what is x? (a) 21 (b) 6 (c) 8 (d) 7
  20. 20.If 5x + 9 = 49, what is x? (a) 9 (b) 7 (c) 8 (d) 40
  21. 21.If 2x + 2 = 16, what is x? (a) 7 (b) 9 (c) 8 (d) 14
  22. 22.If 7x − 16 = 75, what is x? (a) 12 (b) 14 (c) 91 (d) 13
  23. 23.If 4x + 28 = 68, what is x? (a) 40 (b) 10 (c) 24 (d) 11
  24. 24.If 5x + 11 = 4x + 12, what is x? (a) 23 (b) 2 (c) 3 (d) 1
  25. 25.If 3x − 3 = 9, what is x? (a) 4 (b) 5 (c) 12 (d) 2
  26. 26.If 6x − 30 = 12, what is x? (a) 8 (b) 7 (c) 42 (d) 6
  27. 27.If 8x − 9 = 55, what is x? (a) 9 (b) 64 (c) 8 (d) 7
  28. 28.If 3x − 20 = 1, what is x? (a) 6 (b) 21 (c) 8 (d) 7
  29. 29.If 7x + 4 = 2x + 64, what is x? (a) 14 (b) 13 (c) 12 (d) 11
  30. 30.If 7x + 6 = 55, what is x? (a) 49 (b) 8 (c) 6 (d) 7
  31. 31.If 4x + 5 = 2x + 27, what is x? (a) 12 (b) 13 (c) 16 (d) 11
  32. 32.If 2x + 19 = 43, what is x? (a) 24 (b) 12 (c) 31 (d) 13
  33. 33.If 5x − 2 = 23, what is x? (a) 4 (b) 6 (c) 5 (d) 25
  34. 34.If x/4 + 5 = 9, what is x? (a) 31 (b) 56 (c) 16 (d) 4
  35. 35.If 8x + 17 = 137, what is x? (a) 14 (b) 16 (c) 15 (d) 120
  36. 36.If 5x − 4 = 21, what is x? (a) 5 (b) 4 (c) 6 (d) 25
  37. 37.If 4x + 4 = x + 31, what is x? (a) 11 (b) 8 (c) 10 (d) 9
  38. 38.If 8x + 4 = 3x + 44, what is x? (a) 9 (b) 8 (c) 10 (d) 7
  39. 39.If x/6 + 7 = 13, what is x? (a) 120 (b) 36 (c) 71 (d) 6
  40. 40.If 4x + 3 = 3x + 7, what is x? (a) 10 (b) 5 (c) 4 (d) 6

Answer key

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

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