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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 404 · 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 − 27 = 15, what is x? (a) 42 (b) 7 (c) 6 (d) 5
  2. 2.If 3x + 17 = x + 27, what is x? (a) 6 (b) 5 (c) 22 (d) 7
  3. 3.If 4x + 29 = 53, what is x? (a) 6 (b) 7 (c) 5 (d) 24
  4. 4.If 3x + 7 = 2x + 10, what is x? (a) 4 (b) 17 (c) 3 (d) 5
  5. 5.If 4x + 9 = 21, what is x? (a) 4 (b) 2 (c) 12 (d) 3
  6. 6.If 4x + 29 = 45, what is x? (a) 5 (b) 4 (c) 3 (d) 16
  7. 7.If 8x + 15 = x + 78, what is x? (a) 10 (b) 7 (c) 9 (d) 11
  8. 8.If 8x + 15 = 2x + 21, what is x? (a) 2 (b) 1 (c) 6 (d) 3
  9. 9.If 9x − 26 = 28, what is x? (a) 7 (b) 5 (c) 54 (d) 6
  10. 10.If 8x + 14 = 4x + 62, what is x? (a) 12 (b) 19 (c) 4 (d) 13
  11. 11.If 7x + 3 = 4x + 21, what is x? (a) 7 (b) 6 (c) 5 (d) 8
  12. 12.If 9x − 13 = 23, what is x? (a) 5 (b) 36 (c) 3 (d) 4
  13. 13.If 8x + 26 = 42, what is x? (a) 2 (b) 16 (c) 1 (d) 3
  14. 14.If 4x + 17 = 61, what is x? (a) 10 (b) 12 (c) 11 (d) 44
  15. 15.If 8x − 20 = 4, what is x? (a) 4 (b) 3 (c) 24 (d) 2
  16. 16.If 2x + 5 = 9, what is x? (a) 7 (b) 2 (c) 3 (d) 4
  17. 17.If 3x + 3 = x + 15, what is x? (a) 3 (b) 9 (c) 6 (d) 7
  18. 18.If 2x − 3 = 25, what is x? (a) 14 (b) 11 (c) 28 (d) 15
  19. 19.If 7x − 57 = 41, what is x? (a) 98 (b) 15 (c) 14 (d) 13
  20. 20.If x/3 + 14 = 23, what is x? (a) 27 (b) 111 (c) 55 (d) 9
  21. 21.If 4x + 4 = 40, what is x? (a) 11 (b) 36 (c) 10 (d) 9
  22. 22.If 2x + 15 = 37, what is x? (a) 12 (b) 22 (c) 11 (d) 26
  23. 23.If 8x + 4 = 100, what is x? (a) 12 (b) 96 (c) 11 (d) 13
  24. 24.If 6x − 42 = 36, what is x? (a) 13 (b) 12 (c) 14 (d) 78
  25. 25.If 3x + 15 = 30, what is x? (a) 6 (b) 15 (c) 4 (d) 5
  26. 26.If 6x − 41 = 43, what is x? (a) 15 (b) 13 (c) 14 (d) 84
  27. 27.If x/3 + 5 = 7, what is x? (a) 6 (b) 16 (c) 2 (d) 36
  28. 28.If 3x − 6 = 6, what is x? (a) 3 (b) 12 (c) 4 (d) 5
  29. 29.If 2x − 4 = 10, what is x? (a) 8 (b) 14 (c) 7 (d) 3
  30. 30.If x/2 + 4 = 14, what is x? (a) 36 (b) 24 (c) 20 (d) 10
  31. 31.If 3x + 6 = 2x + 12, what is x? (a) 7 (b) 18 (c) 8 (d) 6
  32. 32.If 8x − 3 = 21, what is x? (a) 4 (b) 2 (c) 24 (d) 3
  33. 33.If 3x + 19 = 49, what is x? (a) 30 (b) 10 (c) 9 (d) 11
  34. 34.If x/4 + 1 = 9, what is x? (a) 35 (b) 32 (c) 8 (d) 40
  35. 35.If 4x + 7 = 43, what is x? (a) 36 (b) 8 (c) 9 (d) 10
  36. 36.If 3x − 14 = 1, what is x? (a) 5 (b) 6 (c) 4 (d) 15
  37. 37.If 2x + 5 = 15, what is x? (a) 6 (b) 10 (c) 5 (d) 4
  38. 38.If 5x + 15 = 55, what is x? (a) 40 (b) 8 (c) 14 (d) 9
  39. 39.If 7x + 18 = 102, what is x? (a) 84 (b) 12 (c) 13 (d) 11
  40. 40.If 7x + 11 = 53, what is x? (a) 7 (b) 6 (c) 5 (d) 42

Answer key

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

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