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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 468 · 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 − 7 = 5, what is x? (a) 12 (b) 2 (c) 1 (d) 3
  2. 2.If 5x + 23 = 48, what is x? (a) 25 (b) 6 (c) 4 (d) 5
  3. 3.If 9x + 6 = 7x + 14, what is x? (a) 4 (b) 10 (c) 6 (d) 5
  4. 4.If 4x − 47 = 1, what is x? (a) 13 (b) 48 (c) 12 (d) 11
  5. 5.If 5x + 30 = 50, what is x? (a) 4 (b) 16 (c) 20 (d) 5
  6. 6.If 8x + 24 = 80, what is x? (a) 7 (b) 8 (c) 13 (d) 56
  7. 7.If 3x + 20 = 32, what is x? (a) 3 (b) 4 (c) 12 (d) 5
  8. 8.If 8x − 7 = 17, what is x? (a) 24 (b) 4 (c) 2 (d) 3
  9. 9.If 9x + 15 = x + 63, what is x? (a) 7 (b) 5 (c) 6 (d) 8
  10. 10.If 2x − 3 = 19, what is x? (a) 22 (b) 12 (c) 8 (d) 11
  11. 11.If 8x + 11 = 5x + 14, what is x? (a) 4 (b) 1 (c) 3 (d) 2
  12. 12.If 5x + 4 = 14, what is x? (a) 10 (b) 3 (c) 1 (d) 2
  13. 13.If 7x − 8 = 48, what is x? (a) 7 (b) 56 (c) 9 (d) 8
  14. 14.If 7x + 14 = x + 20, what is x? (a) 2 (b) 4 (c) 3 (d) 1
  15. 15.If 3x + 8 = 29, what is x? (a) 7 (b) 21 (c) 8 (d) 6
  16. 16.If 5x − 34 = 16, what is x? (a) 10 (b) 9 (c) 50 (d) 11
  17. 17.If 7x − 3 = 32, what is x? (a) 5 (b) 35 (c) 6 (d) 4
  18. 18.If 8x + 1 = 33, what is x? (a) 32 (b) 4 (c) 3 (d) 5
  19. 19.If x/2 + 7 = 18, what is x? (a) 50 (b) 22 (c) 29 (d) 11
  20. 20.If 8x + 5 = 109, what is x? (a) 12 (b) 104 (c) 13 (d) 14
  21. 21.If 4x + 7 = 43, what is x? (a) 36 (b) 8 (c) 10 (d) 9
  22. 22.If 4x + 1 = 2x + 13, what is x? (a) 8 (b) 6 (c) 7 (d) 2
  23. 23.If 5x + 19 = 89, what is x? (a) 13 (b) 15 (c) 70 (d) 14
  24. 24.If x/5 + 2 = 10, what is x? (a) 8 (b) 60 (c) 40 (d) 48
  25. 25.If 3x − 8 = 1, what is x? (a) 9 (b) 2 (c) 3 (d) 4
  26. 26.If 8x + 16 = 4x + 52, what is x? (a) 9 (b) 10 (c) 3 (d) 17
  27. 27.If x/3 + 10 = 18, what is x? (a) 84 (b) 24 (c) 8 (d) 44
  28. 28.If 3x − 11 = 34, what is x? (a) 16 (b) 14 (c) 45 (d) 15
  29. 29.If 2x − 13 = 7, what is x? (a) 20 (b) 9 (c) 10 (d) 11
  30. 30.If 4x + 18 = 3x + 28, what is x? (a) 46 (b) 12 (c) 11 (d) 10
  31. 31.If 6x + 12 = 36, what is x? (a) 8 (b) 24 (c) 5 (d) 4
  32. 32.If 7x − 10 = 18, what is x? (a) 3 (b) 5 (c) 4 (d) 28
  33. 33.If 7x + 23 = 86, what is x? (a) 63 (b) 8 (c) 10 (d) 9
  34. 34.If x/2 + 1 = 12, what is x? (a) 23 (b) 22 (c) 26 (d) 11
  35. 35.If 5x + 5 = 55, what is x? (a) 11 (b) 50 (c) 12 (d) 10
  36. 36.If 7x + 5 = 19, what is x? (a) 2 (b) 3 (c) 1 (d) 14
  37. 37.If 7x − 29 = 62, what is x? (a) 14 (b) 91 (c) 12 (d) 13
  38. 38.If 9x + 6 = 2x + 76, what is x? (a) 12 (b) 10 (c) 9 (d) 11
  39. 39.If 4x + 16 = x + 37, what is x? (a) 6 (b) 9 (c) 7 (d) 8
  40. 40.If 8x + 25 = 73, what is x? (a) 6 (b) 5 (c) 48 (d) 7

Answer key

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

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