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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 516 · 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 + 3 = 81, what is x? (a) 78 (b) 14 (c) 13 (d) 12
  2. 2.If 5x − 32 = 3, what is x? (a) 7 (b) 8 (c) 6 (d) 35
  3. 3.If x/4 + 6 = 17, what is x? (a) 44 (b) 92 (c) 62 (d) 11
  4. 4.If 8x − 23 = 89, what is x? (a) 13 (b) 112 (c) 14 (d) 15
  5. 5.If 2x + 19 = 41, what is x? (a) 30 (b) 22 (c) 11 (d) 12
  6. 6.If 2x − 5 = 11, what is x? (a) 16 (b) 8 (c) 9 (d) 3
  7. 7.If 9x + 2 = x + 58, what is x? (a) 8 (b) 6 (c) 9 (d) 7
  8. 8.If 7x + 2 = 4x + 8, what is x? (a) 1 (b) 4 (c) 2 (d) 3
  9. 9.If 7x + 6 = 6x + 13, what is x? (a) 19 (b) 7 (c) 8 (d) 9
  10. 10.If 9x + 15 = 78, what is x? (a) 7 (b) 8 (c) 6 (d) 63
  11. 11.If 7x − 6 = 8, what is x? (a) 1 (b) 2 (c) 14 (d) 3
  12. 12.If 6x + 7 = 5x + 16, what is x? (a) 10 (b) 9 (c) 11 (d) 23
  13. 13.If x/3 + 12 = 15, what is x? (a) 3 (b) 33 (c) 81 (d) 9
  14. 14.If 9x − 6 = 66, what is x? (a) 8 (b) 7 (c) 9 (d) 72
  15. 15.If 2x + 7 = 15, what is x? (a) 8 (b) 11 (c) 4 (d) 5
  16. 16.If 7x − 89 = 9, what is x? (a) 14 (b) 13 (c) 15 (d) 98
  17. 17.If x/3 + 13 = 17, what is x? (a) 38 (b) 90 (c) 12 (d) 4
  18. 18.If 8x − 33 = 23, what is x? (a) 8 (b) 6 (c) 7 (d) 56
  19. 19.If 2x + 21 = 51, what is x? (a) 36 (b) 16 (c) 30 (d) 15
  20. 20.If 7x + 10 = 45, what is x? (a) 4 (b) 35 (c) 5 (d) 6
  21. 21.If 8x + 26 = 114, what is x? (a) 12 (b) 10 (c) 11 (d) 88
  22. 22.If 7x − 5 = 65, what is x? (a) 9 (b) 11 (c) 70 (d) 10
  23. 23.If 3x + 17 = x + 39, what is x? (a) 11 (b) 13 (c) 12 (d) 28
  24. 24.If 3x + 21 = 33, what is x? (a) 5 (b) 18 (c) 4 (d) 12
  25. 25.If 3x − 22 = 8, what is x? (a) 9 (b) 30 (c) 10 (d) 11
  26. 26.If 6x + 22 = 100, what is x? (a) 78 (b) 12 (c) 14 (d) 13
  27. 27.If x/4 + 8 = 13, what is x? (a) 84 (b) 20 (c) 44 (d) 5
  28. 28.If x/4 + 14 = 20, what is x? (a) 136 (b) 66 (c) 24 (d) 6
  29. 29.If 3x + 1 = 25, what is x? (a) 24 (b) 9 (c) 7 (d) 8
  30. 30.If 3x + 20 = 26, what is x? (a) 1 (b) 2 (c) 6 (d) 3
  31. 31.If 2x + 26 = 46, what is x? (a) 20 (b) 10 (c) 36 (d) 11
  32. 32.If 8x + 28 = 52, what is x? (a) 24 (b) 3 (c) 10 (d) 4
  33. 33.If 3x − 22 = 5, what is x? (a) 10 (b) 27 (c) 8 (d) 9
  34. 34.If 7x + 10 = 108, what is x? (a) 13 (b) 14 (c) 15 (d) 98
  35. 35.If 4x − 50 = 10, what is x? (a) 60 (b) 14 (c) 16 (d) 15
  36. 36.If 5x + 19 = 44, what is x? (a) 25 (b) 4 (c) 5 (d) 6
  37. 37.If 3x + 9 = 27, what is x? (a) 12 (b) 18 (c) 7 (d) 6
  38. 38.If x/4 + 2 = 8, what is x? (a) 6 (b) 24 (c) 40 (d) 30
  39. 39.If x/3 + 7 = 14, what is x? (a) 7 (b) 21 (c) 35 (d) 63
  40. 40.If x/6 + 1 = 11, what is x? (a) 72 (b) 10 (c) 65 (d) 60

Answer key

  1. 13
  2. 7
  3. 44
  4. 14
  5. 11
  6. 8
  7. 7
  8. 2
  9. 7
  10. 7
  11. 2
  12. 9
  13. 9
  14. 8
  15. 4
  16. 14
  17. 12
  18. 7
  19. 15
  20. 5
  21. 11
  22. 10
  23. 11
  24. 4
  25. 10
  26. 13
  27. 20
  28. 24
  29. 8
  30. 2
  31. 10
  32. 3
  33. 9
  34. 14
  35. 15
  36. 5
  37. 6
  38. 24
  39. 21
  40. 60

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