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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 10 · 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 2x − 14 = 6, what is x? (a) 9 (b) 10 (c) 20 (d) 11
  2. 2.If 8x + 11 = 3x + 21, what is x? (a) 4 (b) 2 (c) 1 (d) 3
  3. 3.If x/2 + 15 = 27, what is x? (a) 24 (b) 12 (c) 84 (d) 39
  4. 4.If 7x + 11 = 53, what is x? (a) 6 (b) 5 (c) 42 (d) 7
  5. 5.If 7x + 4 = 81, what is x? (a) 10 (b) 77 (c) 12 (d) 11
  6. 6.If 4x − 7 = 5, what is x? (a) 4 (b) 3 (c) 12 (d) 2
  7. 7.If 3x + 10 = 22, what is x? (a) 3 (b) 4 (c) 5 (d) 12
  8. 8.If 8x + 14 = x + 42, what is x? (a) 8 (b) 4 (c) 5 (d) 6
  9. 9.If x/2 + 3 = 9, what is x? (a) 6 (b) 15 (c) 12 (d) 24
  10. 10.If 2x + 4 = 16, what is x? (a) 6 (b) 12 (c) 10 (d) 7
  11. 11.If 5x + 9 = 39, what is x? (a) 5 (b) 30 (c) 7 (d) 6
  12. 12.If 7x + 23 = 51, what is x? (a) 5 (b) 3 (c) 4 (d) 28
  13. 13.If x/6 + 13 = 15, what is x? (a) 168 (b) 12 (c) 77 (d) 2
  14. 14.If 9x + 5 = 3x + 35, what is x? (a) 7 (b) 5 (c) 6 (d) 4
  15. 15.If x/4 + 1 = 4, what is x? (a) 12 (b) 3 (c) 15 (d) 20
  16. 16.If x/4 + 1 = 3, what is x? (a) 8 (b) 11 (c) 16 (d) 2
  17. 17.If 7x + 12 = 3x + 32, what is x? (a) 5 (b) 2 (c) 6 (d) 11
  18. 18.If 5x − 20 = 15, what is x? (a) 8 (b) 6 (c) 35 (d) 7
  19. 19.If 3x − 4 = 5, what is x? (a) 3 (b) 9 (c) 4 (d) 2
  20. 20.If x/6 + 3 = 14, what is x? (a) 102 (b) 66 (c) 81 (d) 11
  21. 21.If 6x + 10 = 4x + 18, what is x? (a) 5 (b) 4 (c) 6 (d) 14
  22. 22.If x/4 + 1 = 11, what is x? (a) 48 (b) 10 (c) 40 (d) 43
  23. 23.If 4x + 20 = 3x + 21, what is x? (a) 41 (b) 1 (c) 2 (d) 3
  24. 24.If x/2 + 10 = 14, what is x? (a) 18 (b) 48 (c) 4 (d) 8
  25. 25.If 6x − 46 = 14, what is x? (a) 60 (b) 10 (c) 9 (d) 11
  26. 26.If 2x − 3 = 3, what is x? (a) 2 (b) 4 (c) 3 (d) 6
  27. 27.If 5x + 20 = 3x + 42, what is x? (a) 13 (b) 31 (c) 12 (d) 11
  28. 28.If 8x − 6 = 18, what is x? (a) 4 (b) 24 (c) 3 (d) 2
  29. 29.If x/5 + 7 = 12, what is x? (a) 25 (b) 5 (c) 53 (d) 95
  30. 30.If 2x + 27 = 39, what is x? (a) 6 (b) 12 (c) 33 (d) 7
  31. 31.If 4x + 3 = 55, what is x? (a) 13 (b) 12 (c) 14 (d) 52
  32. 32.If x/4 + 3 = 7, what is x? (a) 4 (b) 40 (c) 25 (d) 16
  33. 33.If 3x + 26 = 32, what is x? (a) 2 (b) 1 (c) 6 (d) 3
  34. 34.If 7x + 13 = x + 55, what is x? (a) 6 (b) 9 (c) 7 (d) 8
  35. 35.If 8x + 10 = 50, what is x? (a) 6 (b) 4 (c) 40 (d) 5
  36. 36.If 4x − 21 = 27, what is x? (a) 12 (b) 13 (c) 11 (d) 48
  37. 37.If 4x − 4 = 16, what is x? (a) 6 (b) 3 (c) 20 (d) 5
  38. 38.If 4x + 18 = 78, what is x? (a) 16 (b) 60 (c) 24 (d) 15
  39. 39.If 8x + 5 = x + 40, what is x? (a) 6 (b) 5 (c) 4 (d) 7
  40. 40.If 3x + 3 = 18, what is x? (a) 6 (b) 5 (c) 15 (d) 7

Answer key

  1. 10
  2. 2
  3. 24
  4. 6
  5. 11
  6. 3
  7. 4
  8. 4
  9. 12
  10. 6
  11. 6
  12. 4
  13. 12
  14. 5
  15. 12
  16. 8
  17. 5
  18. 7
  19. 3
  20. 66
  21. 4
  22. 40
  23. 1
  24. 8
  25. 10
  26. 3
  27. 11
  28. 3
  29. 25
  30. 6
  31. 13
  32. 16
  33. 2
  34. 7
  35. 5
  36. 12
  37. 5
  38. 15
  39. 5
  40. 5

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