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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 718 · 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 − 17 = 1, what is x? (a) 18 (b) 3 (c) 4 (d) 2
  2. 2.If 8x − 4 = 60, what is x? (a) 7 (b) 64 (c) 9 (d) 8
  3. 3.If 5x − 4 = 36, what is x? (a) 8 (b) 9 (c) 40 (d) 7
  4. 4.If x/5 + 6 = 11, what is x? (a) 49 (b) 5 (c) 85 (d) 25
  5. 5.If 6x + 10 = 70, what is x? (a) 10 (b) 9 (c) 60 (d) 11
  6. 6.If 9x + 16 = 106, what is x? (a) 9 (b) 11 (c) 10 (d) 90
  7. 7.If 3x + 11 = 23, what is x? (a) 4 (b) 12 (c) 5 (d) 3
  8. 8.If 3x − 16 = 29, what is x? (a) 45 (b) 15 (c) 14 (d) 16
  9. 9.If 7x − 19 = 51, what is x? (a) 9 (b) 11 (c) 10 (d) 70
  10. 10.If 4x + 19 = 3x + 30, what is x? (a) 11 (b) 12 (c) 49 (d) 13
  11. 11.If 7x − 9 = 47, what is x? (a) 7 (b) 8 (c) 9 (d) 56
  12. 12.If 8x + 2 = 82, what is x? (a) 9 (b) 80 (c) 11 (d) 10
  13. 13.If 2x + 21 = 43, what is x? (a) 11 (b) 22 (c) 12 (d) 32
  14. 14.If x/3 + 3 = 8, what is x? (a) 21 (b) 33 (c) 5 (d) 15
  15. 15.If x/5 + 3 = 5, what is x? (a) 22 (b) 10 (c) 40 (d) 2
  16. 16.If 6x − 34 = 14, what is x? (a) 7 (b) 9 (c) 8 (d) 48
  17. 17.If 5x + 26 = 91, what is x? (a) 13 (b) 14 (c) 65 (d) 12
  18. 18.If 5x + 20 = 3x + 44, what is x? (a) 13 (b) 12 (c) 32 (d) 3
  19. 19.If 7x + 15 = 3x + 19, what is x? (a) 1 (b) 4 (c) 2 (d) 3
  20. 20.If 8x + 13 = 85, what is x? (a) 72 (b) 9 (c) 10 (d) 8
  21. 21.If 3x − 6 = 3, what is x? (a) 9 (b) 2 (c) 3 (d) 4
  22. 22.If 8x + 9 = 49, what is x? (a) 4 (b) 6 (c) 5 (d) 40
  23. 23.If 3x + 13 = 40, what is x? (a) 27 (b) 10 (c) 9 (d) 8
  24. 24.If 6x + 18 = 36, what is x? (a) 3 (b) 9 (c) 18 (d) 4
  25. 25.If 6x − 2 = 10, what is x? (a) 1 (b) 3 (c) 2 (d) 12
  26. 26.If x/2 + 4 = 11, what is x? (a) 7 (b) 30 (c) 18 (d) 14
  27. 27.If 8x − 5 = 27, what is x? (a) 3 (b) 32 (c) 4 (d) 5
  28. 28.If 6x − 71 = 1, what is x? (a) 13 (b) 12 (c) 11 (d) 72
  29. 29.If 4x + 14 = 2x + 20, what is x? (a) 4 (b) 17 (c) 1 (d) 3
  30. 30.If x/2 + 14 = 16, what is x? (a) 18 (b) 60 (c) 4 (d) 2
  31. 31.If 6x − 15 = 21, what is x? (a) 1 (b) 36 (c) 7 (d) 6
  32. 32.If x/2 + 3 = 9, what is x? (a) 15 (b) 6 (c) 24 (d) 12
  33. 33.If x/2 + 10 = 12, what is x? (a) 4 (b) 14 (c) 2 (d) 44
  34. 34.If 2x + 16 = 24, what is x? (a) 20 (b) 5 (c) 4 (d) 8
  35. 35.If 9x + 12 = 8x + 20, what is x? (a) 8 (b) 32 (c) 9 (d) 10
  36. 36.If 4x + 8 = 2x + 24, what is x? (a) 16 (b) 10 (c) 8 (d) 9
  37. 37.If 6x − 6 = 42, what is x? (a) 6 (b) 48 (c) 9 (d) 8
  38. 38.If 5x − 25 = 30, what is x? (a) 55 (b) 11 (c) 1 (d) 12
  39. 39.If x/6 + 10 = 12, what is x? (a) 62 (b) 2 (c) 12 (d) 132
  40. 40.If 2x − 5 = 23, what is x? (a) 28 (b) 9 (c) 15 (d) 14

Answer key

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

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