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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 215 · 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 x/5 + 12 = 15, what is x? (a) 63 (b) 15 (c) 135 (d) 3
  2. 2.If 7x + 2 = 6x + 11, what is x? (a) 10 (b) 13 (c) 9 (d) 11
  3. 3.If 7x + 21 = 84, what is x? (a) 63 (b) 9 (c) 15 (d) 10
  4. 4.If 2x + 16 = 22, what is x? (a) 4 (b) 3 (c) 6 (d) 19
  5. 5.If 7x + 12 = x + 42, what is x? (a) 5 (b) 9 (c) 7 (d) 6
  6. 6.If 8x + 23 = 95, what is x? (a) 8 (b) 9 (c) 72 (d) 10
  7. 7.If 8x + 11 = x + 32, what is x? (a) 4 (b) 5 (c) 3 (d) 2
  8. 8.If 3x − 20 = 4, what is x? (a) 7 (b) 8 (c) 24 (d) 9
  9. 9.If 7x − 17 = 60, what is x? (a) 12 (b) 11 (c) 10 (d) 77
  10. 10.If 8x − 47 = 17, what is x? (a) 8 (b) 9 (c) 64 (d) 7
  11. 11.If 9x + 9 = 2x + 44, what is x? (a) 7 (b) 5 (c) 6 (d) 4
  12. 12.If 9x + 4 = 4x + 9, what is x? (a) 2 (b) 3 (c) 1 (d) 4
  13. 13.If x/5 + 4 = 14, what is x? (a) 10 (b) 50 (c) 90 (d) 66
  14. 14.If 6x + 2 = 56, what is x? (a) 9 (b) 54 (c) 8 (d) 10
  15. 15.If 5x + 4 = 4x + 8, what is x? (a) 6 (b) 12 (c) 5 (d) 4
  16. 16.If 5x − 11 = 4, what is x? (a) 15 (b) 4 (c) 2 (d) 3
  17. 17.If 3x − 4 = 2, what is x? (a) 6 (b) 3 (c) 1 (d) 2
  18. 18.If 6x − 5 = 31, what is x? (a) 36 (b) 7 (c) 6 (d) 5
  19. 19.If x/6 + 15 = 18, what is x? (a) 198 (b) 18 (c) 93 (d) 3
  20. 20.If x/2 + 15 = 20, what is x? (a) 25 (b) 10 (c) 5 (d) 70
  21. 21.If 8x + 5 = 7x + 12, what is x? (a) 7 (b) 8 (c) 9 (d) 17
  22. 22.If 7x + 12 = 6x + 24, what is x? (a) 14 (b) 13 (c) 12 (d) 36
  23. 23.If x/3 + 11 = 20, what is x? (a) 49 (b) 9 (c) 27 (d) 93
  24. 24.If 5x − 1 = 34, what is x? (a) 8 (b) 6 (c) 35 (d) 7
  25. 25.If 8x − 27 = 5, what is x? (a) 5 (b) 4 (c) 32 (d) 3
  26. 26.If 5x + 11 = 81, what is x? (a) 15 (b) 14 (c) 70 (d) 13
  27. 27.If x/2 + 4 = 11, what is x? (a) 30 (b) 14 (c) 7 (d) 18
  28. 28.If 5x − 7 = 23, what is x? (a) 7 (b) 5 (c) 30 (d) 6
  29. 29.If 6x + 1 = 4x + 5, what is x? (a) 4 (b) 1 (c) 2 (d) 3
  30. 30.If 2x + 7 = 35, what is x? (a) 28 (b) 15 (c) 14 (d) 21
  31. 31.If x/4 + 10 = 19, what is x? (a) 36 (b) 116 (c) 9 (d) 66
  32. 32.If 9x + 28 = 91, what is x? (a) 7 (b) 63 (c) 6 (d) 8
  33. 33.If 3x + 1 = 2x + 12, what is x? (a) 13 (b) 12 (c) 11 (d) 10
  34. 34.If 6x + 26 = 110, what is x? (a) 13 (b) 15 (c) 84 (d) 14
  35. 35.If 4x + 22 = 66, what is x? (a) 22 (b) 44 (c) 12 (d) 11
  36. 36.If 2x − 2 = 4, what is x? (a) 3 (b) 1 (c) 6 (d) 4
  37. 37.If 4x + 26 = 34, what is x? (a) 15 (b) 3 (c) 8 (d) 2
  38. 38.If 2x + 21 = 41, what is x? (a) 11 (b) 31 (c) 20 (d) 10
  39. 39.If 3x + 29 = 41, what is x? (a) 5 (b) 12 (c) 3 (d) 4
  40. 40.If 9x + 9 = 4x + 39, what is x? (a) 8 (b) 7 (c) 5 (d) 6

Answer key

  1. 15
  2. 9
  3. 9
  4. 3
  5. 5
  6. 9
  7. 3
  8. 8
  9. 11
  10. 8
  11. 5
  12. 1
  13. 50
  14. 9
  15. 4
  16. 3
  17. 2
  18. 6
  19. 18
  20. 10
  21. 7
  22. 12
  23. 27
  24. 7
  25. 4
  26. 14
  27. 14
  28. 6
  29. 2
  30. 14
  31. 36
  32. 7
  33. 11
  34. 14
  35. 11
  36. 3
  37. 2
  38. 10
  39. 4
  40. 6

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