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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 786 · 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 + 10 = 6x + 21, what is x? (a) 31 (b) 12 (c) 11 (d) 13
  2. 2.If x/5 + 1 = 8, what is x? (a) 39 (b) 45 (c) 7 (d) 35
  3. 3.If 7x + 29 = 106, what is x? (a) 77 (b) 11 (c) 12 (d) 10
  4. 4.If 9x + 8 = 53, what is x? (a) 4 (b) 6 (c) 45 (d) 5
  5. 5.If x/4 + 6 = 11, what is x? (a) 5 (b) 20 (c) 68 (d) 38
  6. 6.If 2x − 3 = 13, what is x? (a) 9 (b) 16 (c) 8 (d) 5
  7. 7.If 7x + 24 = 115, what is x? (a) 14 (b) 13 (c) 91 (d) 12
  8. 8.If x/5 + 10 = 13, what is x? (a) 3 (b) 115 (c) 15 (d) 55
  9. 9.If 2x + 3 = 31, what is x? (a) 28 (b) 17 (c) 15 (d) 14
  10. 10.If 6x + 4 = 4x + 14, what is x? (a) 1 (b) 6 (c) 5 (d) 9
  11. 11.If 8x + 19 = 43, what is x? (a) 24 (b) 4 (c) 3 (d) 2
  12. 12.If 9x − 11 = 34, what is x? (a) 4 (b) 45 (c) 6 (d) 5
  13. 13.If 2x + 17 = 35, what is x? (a) 26 (b) 9 (c) 10 (d) 18
  14. 14.If 9x − 17 = 46, what is x? (a) 6 (b) 63 (c) 8 (d) 7
  15. 15.If 3x − 10 = 11, what is x? (a) 21 (b) 7 (c) 8 (d) 6
  16. 16.If x/2 + 14 = 26, what is x? (a) 80 (b) 24 (c) 38 (d) 12
  17. 17.If 3x + 5 = 2x + 11, what is x? (a) 7 (b) 8 (c) 6 (d) 16
  18. 18.If 2x − 3 = 9, what is x? (a) 6 (b) 12 (c) 7 (d) 3
  19. 19.If 7x − 29 = 6, what is x? (a) 6 (b) 35 (c) 4 (d) 5
  20. 20.If 6x − 10 = 26, what is x? (a) 6 (b) 5 (c) 7 (d) 36
  21. 21.If 5x − 10 = 5, what is x? (a) 15 (b) 3 (c) 4 (d) 2
  22. 22.If x/6 + 13 = 21, what is x? (a) 113 (b) 8 (c) 48 (d) 204
  23. 23.If 3x − 14 = 4, what is x? (a) 6 (b) 18 (c) 7 (d) 5
  24. 24.If 4x − 13 = 47, what is x? (a) 60 (b) 14 (c) 16 (d) 15
  25. 25.If 5x + 9 = 69, what is x? (a) 12 (b) 11 (c) 60 (d) 13
  26. 26.If 8x + 6 = 78, what is x? (a) 10 (b) 8 (c) 9 (d) 72
  27. 27.If 5x − 35 = 10, what is x? (a) 8 (b) 45 (c) 10 (d) 9
  28. 28.If x/2 + 6 = 9, what is x? (a) 3 (b) 6 (c) 30 (d) 12
  29. 29.If 3x − 4 = 2, what is x? (a) 1 (b) 6 (c) 2 (d) 3
  30. 30.If x/2 + 3 = 9, what is x? (a) 24 (b) 12 (c) 6 (d) 15
  31. 31.If 6x + 5 = 41, what is x? (a) 7 (b) 6 (c) 36 (d) 5
  32. 32.If 9x + 17 = 134, what is x? (a) 117 (b) 14 (c) 13 (d) 12
  33. 33.If 5x + 19 = x + 63, what is x? (a) 13 (b) 12 (c) 11 (d) 10
  34. 34.If 3x + 6 = 48, what is x? (a) 14 (b) 18 (c) 15 (d) 42
  35. 35.If 7x + 17 = 6x + 19, what is x? (a) 4 (b) 36 (c) 3 (d) 2
  36. 36.If 2x − 1 = 29, what is x? (a) 14 (b) 16 (c) 30 (d) 15
  37. 37.If x/2 + 2 = 4, what is x? (a) 12 (b) 2 (c) 6 (d) 4
  38. 38.If 4x + 11 = x + 20, what is x? (a) 3 (b) 5 (c) 4 (d) 2
  39. 39.If 6x + 3 = 3x + 18, what is x? (a) 6 (b) 4 (c) 7 (d) 5
  40. 40.If 9x + 12 = 111, what is x? (a) 10 (b) 99 (c) 11 (d) 12

Answer key

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

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