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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 776 · 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 7x − 55 = 15, what is x? (a) 9 (b) 11 (c) 70 (d) 10
  2. 2.If 8x + 2 = 2x + 38, what is x? (a) 7 (b) 8 (c) 5 (d) 6
  3. 3.If x/2 + 3 = 8, what is x? (a) 5 (b) 22 (c) 10 (d) 13
  4. 4.If x/4 + 5 = 16, what is x? (a) 11 (b) 84 (c) 44 (d) 59
  5. 5.If 6x − 52 = 20, what is x? (a) 11 (b) 13 (c) 72 (d) 12
  6. 6.If x/3 + 7 = 9, what is x? (a) 2 (b) 48 (c) 6 (d) 20
  7. 7.If 2x − 1 = 5, what is x? (a) 6 (b) 3 (c) 2 (d) 4
  8. 8.If x/2 + 4 = 8, what is x? (a) 8 (b) 24 (c) 4 (d) 12
  9. 9.If 9x − 17 = 19, what is x? (a) 5 (b) 4 (c) 3 (d) 36
  10. 10.If 7x + 4 = 2x + 39, what is x? (a) 8 (b) 6 (c) 9 (d) 7
  11. 11.If 5x + 2 = 27, what is x? (a) 6 (b) 5 (c) 25 (d) 4
  12. 12.If x/4 + 9 = 11, what is x? (a) 2 (b) 80 (c) 35 (d) 8
  13. 13.If 9x − 6 = 21, what is x? (a) 3 (b) 2 (c) 27 (d) 4
  14. 14.If 9x + 17 = 4x + 52, what is x? (a) 9 (b) 8 (c) 6 (d) 7
  15. 15.If 4x − 20 = 8, what is x? (a) 28 (b) 7 (c) 6 (d) 8
  16. 16.If x/3 + 6 = 10, what is x? (a) 48 (b) 4 (c) 24 (d) 12
  17. 17.If x/4 + 10 = 16, what is x? (a) 6 (b) 24 (c) 54 (d) 104
  18. 18.If x/2 + 13 = 17, what is x? (a) 60 (b) 8 (c) 21 (d) 4
  19. 19.If x/5 + 7 = 11, what is x? (a) 4 (b) 20 (c) 48 (d) 90
  20. 20.If x/4 + 2 = 8, what is x? (a) 6 (b) 24 (c) 30 (d) 40
  21. 21.If 4x + 8 = 20, what is x? (a) 7 (b) 12 (c) 4 (d) 3
  22. 22.If 7x + 11 = 32, what is x? (a) 2 (b) 4 (c) 21 (d) 3
  23. 23.If x/4 + 7 = 12, what is x? (a) 41 (b) 76 (c) 5 (d) 20
  24. 24.If 3x − 4 = 5, what is x? (a) 2 (b) 4 (c) 3 (d) 9
  25. 25.If 5x + 5 = 55, what is x? (a) 12 (b) 11 (c) 10 (d) 50
  26. 26.If x/2 + 5 = 11, what is x? (a) 32 (b) 17 (c) 6 (d) 12
  27. 27.If 9x + 19 = 100, what is x? (a) 81 (b) 8 (c) 10 (d) 9
  28. 28.If 2x − 1 = 21, what is x? (a) 22 (b) 11 (c) 12 (d) 10
  29. 29.If 5x + 7 = 47, what is x? (a) 9 (b) 8 (c) 7 (d) 40
  30. 30.If 7x − 19 = 2, what is x? (a) 21 (b) 2 (c) 3 (d) 4
  31. 31.If x/3 + 15 = 20, what is x? (a) 105 (b) 5 (c) 45 (d) 15
  32. 32.If 6x + 15 = 5x + 18, what is x? (a) 3 (b) 4 (c) 5 (d) 33
  33. 33.If 3x − 19 = 8, what is x? (a) 27 (b) 8 (c) 10 (d) 9
  34. 34.If 9x + 18 = x + 106, what is x? (a) 13 (b) 12 (c) 11 (d) 10
  35. 35.If x/2 + 3 = 6, what is x? (a) 3 (b) 6 (c) 18 (d) 9
  36. 36.If 7x + 9 = x + 27, what is x? (a) 5 (b) 4 (c) 3 (d) 6
  37. 37.If 9x + 5 = 131, what is x? (a) 13 (b) 14 (c) 126 (d) 15
  38. 38.If x/2 + 7 = 12, what is x? (a) 5 (b) 38 (c) 17 (d) 10
  39. 39.If x/2 + 15 = 19, what is x? (a) 23 (b) 4 (c) 8 (d) 68
  40. 40.If x/2 + 8 = 20, what is x? (a) 32 (b) 24 (c) 56 (d) 12

Answer key

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

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