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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 305 · 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 3x + 1 = x + 23, what is x? (a) 11 (b) 13 (c) 12 (d) 10
  2. 2.If 8x + 22 = 110, what is x? (a) 88 (b) 11 (c) 10 (d) 12
  3. 3.If 9x − 18 = 108, what is x? (a) 14 (b) 10 (c) 15 (d) 126
  4. 4.If 9x − 9 = 99, what is x? (a) 108 (b) 10 (c) 13 (d) 12
  5. 5.If x/4 + 6 = 17, what is x? (a) 92 (b) 11 (c) 44 (d) 62
  6. 6.If 3x + 5 = 29, what is x? (a) 8 (b) 9 (c) 7 (d) 24
  7. 7.If 2x + 1 = 29, what is x? (a) 15 (b) 28 (c) 13 (d) 14
  8. 8.If x/2 + 7 = 15, what is x? (a) 8 (b) 23 (c) 44 (d) 16
  9. 9.If 6x − 8 = 4, what is x? (a) 1 (b) 2 (c) 12 (d) 3
  10. 10.If x/5 + 5 = 9, what is x? (a) 40 (b) 20 (c) 70 (d) 4
  11. 11.If 5x − 28 = 2, what is x? (a) 6 (b) 5 (c) 30 (d) 7
  12. 12.If 4x + 4 = 28, what is x? (a) 24 (b) 6 (c) 8 (d) 7
  13. 13.If x/5 + 8 = 11, what is x? (a) 47 (b) 95 (c) 15 (d) 3
  14. 14.If 7x + 9 = 5x + 27, what is x? (a) 18 (b) 9 (c) 11 (d) 10
  15. 15.If 6x + 5 = x + 25, what is x? (a) 3 (b) 5 (c) 6 (d) 4
  16. 16.If 8x − 6 = 10, what is x? (a) 16 (b) 1 (c) 2 (d) 3
  17. 17.If x/4 + 14 = 16, what is x? (a) 2 (b) 50 (c) 8 (d) 120
  18. 18.If 3x + 8 = x + 16, what is x? (a) 4 (b) 2 (c) 5 (d) 12
  19. 19.If 3x + 10 = 43, what is x? (a) 12 (b) 33 (c) 11 (d) 10
  20. 20.If 5x + 3 = x + 15, what is x? (a) 2 (b) 4 (c) 5 (d) 3
  21. 21.If 3x + 15 = 24, what is x? (a) 9 (b) 4 (c) 3 (d) 13
  22. 22.If 9x − 3 = 24, what is x? (a) 4 (b) 27 (c) 3 (d) 2
  23. 23.If 9x + 4 = 5x + 40, what is x? (a) 9 (b) 11 (c) 8 (d) 10
  24. 24.If 4x + 1 = 29, what is x? (a) 6 (b) 8 (c) 7 (d) 28
  25. 25.If 3x + 23 = 59, what is x? (a) 13 (b) 12 (c) 11 (d) 36
  26. 26.If 6x − 24 = 48, what is x? (a) 4 (b) 12 (c) 72 (d) 13
  27. 27.If 9x + 20 = x + 68, what is x? (a) 7 (b) 11 (c) 6 (d) 8
  28. 28.If 5x − 3 = 12, what is x? (a) 15 (b) 3 (c) 4 (d) 2
  29. 29.If 5x + 28 = 78, what is x? (a) 10 (b) 50 (c) 11 (d) 9
  30. 30.If x/2 + 7 = 17, what is x? (a) 48 (b) 20 (c) 27 (d) 10
  31. 31.If 5x + 12 = 3x + 18, what is x? (a) 4 (b) 5 (c) 15 (d) 3
  32. 32.If 4x + 3 = 2x + 27, what is x? (a) 15 (b) 4 (c) 13 (d) 12
  33. 33.If 9x + 28 = 109, what is x? (a) 10 (b) 81 (c) 9 (d) 8
  34. 34.If x/2 + 4 = 14, what is x? (a) 36 (b) 10 (c) 20 (d) 24
  35. 35.If 6x + 29 = 119, what is x? (a) 14 (b) 15 (c) 16 (d) 90
  36. 36.If 8x − 83 = 13, what is x? (a) 96 (b) 13 (c) 11 (d) 12
  37. 37.If 8x + 11 = 2x + 71, what is x? (a) 6 (b) 12 (c) 11 (d) 10
  38. 38.If 2x − 10 = 16, what is x? (a) 13 (b) 3 (c) 14 (d) 26
  39. 39.If 9x + 5 = 7x + 21, what is x? (a) 1 (b) 9 (c) 13 (d) 8
  40. 40.If x/3 + 5 = 10, what is x? (a) 5 (b) 25 (c) 15 (d) 45

Answer key

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

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