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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 1 · 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 3x − 41 = 4, what is x? (a) 45 (b) 14 (c) 16 (d) 15
  2. 2.If 3x − 3 = 24, what is x? (a) 10 (b) 27 (c) 9 (d) 7
  3. 3.If 2x − 3 = 25, what is x? (a) 28 (b) 11 (c) 14 (d) 15
  4. 4.If 8x + 3 = 107, what is x? (a) 12 (b) 104 (c) 13 (d) 14
  5. 5.If 6x − 28 = 2, what is x? (a) 6 (b) 30 (c) 5 (d) 4
  6. 6.If 3x + 4 = x + 26, what is x? (a) 11 (b) 15 (c) 12 (d) 13
  7. 7.If 6x + 6 = x + 46, what is x? (a) 7 (b) 9 (c) 10 (d) 8
  8. 8.If 5x + 1 = 4x + 3, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  9. 9.If x/2 + 1 = 13, what is x? (a) 25 (b) 12 (c) 28 (d) 24
  10. 10.If x/3 + 9 = 18, what is x? (a) 45 (b) 9 (c) 27 (d) 81
  11. 11.If 5x + 30 = 55, what is x? (a) 25 (b) 17 (c) 6 (d) 5
  12. 12.If 5x − 20 = 30, what is x? (a) 2 (b) 10 (c) 11 (d) 50
  13. 13.If 8x + 10 = 58, what is x? (a) 7 (b) 5 (c) 48 (d) 6
  14. 14.If x/6 + 9 = 15, what is x? (a) 36 (b) 6 (c) 144 (d) 81
  15. 15.If 3x + 21 = 36, what is x? (a) 6 (b) 5 (c) 15 (d) 19
  16. 16.If x/3 + 8 = 14, what is x? (a) 34 (b) 66 (c) 18 (d) 6
  17. 17.If 8x + 13 = 2x + 55, what is x? (a) 9 (b) 7 (c) 8 (d) 6
  18. 18.If x/2 + 5 = 9, what is x? (a) 8 (b) 28 (c) 4 (d) 13
  19. 19.If 3x − 3 = 21, what is x? (a) 6 (b) 24 (c) 9 (d) 8
  20. 20.If 3x + 19 = x + 33, what is x? (a) 7 (b) 9 (c) 8 (d) 26
  21. 21.If 7x − 78 = 20, what is x? (a) 15 (b) 98 (c) 14 (d) 13
  22. 22.If 2x − 9 = 1, what is x? (a) 5 (b) 6 (c) 4 (d) 10
  23. 23.If 5x − 21 = 9, what is x? (a) 5 (b) 30 (c) 6 (d) 7
  24. 24.If x/3 + 15 = 17, what is x? (a) 96 (b) 36 (c) 2 (d) 6
  25. 25.If 4x + 18 = x + 30, what is x? (a) 16 (b) 4 (c) 6 (d) 5
  26. 26.If 3x − 25 = 17, what is x? (a) 13 (b) 42 (c) 14 (d) 15
  27. 27.If x/2 + 9 = 13, what is x? (a) 17 (b) 4 (c) 8 (d) 44
  28. 28.If 7x + 8 = 106, what is x? (a) 98 (b) 13 (c) 14 (d) 15
  29. 29.If 3x − 7 = 8, what is x? (a) 6 (b) 4 (c) 15 (d) 5
  30. 30.If 6x + 6 = 3x + 27, what is x? (a) 8 (b) 11 (c) 7 (d) 9
  31. 31.If 2x − 1 = 27, what is x? (a) 28 (b) 15 (c) 14 (d) 13
  32. 32.If 4x + 12 = 2x + 14, what is x? (a) 1 (b) 2 (c) 13 (d) 3
  33. 33.If 5x + 5 = 20, what is x? (a) 15 (b) 5 (c) 3 (d) 4
  34. 34.If 4x + 22 = 54, what is x? (a) 19 (b) 8 (c) 32 (d) 9
  35. 35.If 8x − 18 = 22, what is x? (a) 40 (b) 5 (c) 4 (d) 6
  36. 36.If x/6 + 2 = 4, what is x? (a) 22 (b) 2 (c) 12 (d) 36
  37. 37.If 9x + 14 = 77, what is x? (a) 8 (b) 6 (c) 7 (d) 63
  38. 38.If 8x + 7 = x + 91, what is x? (a) 11 (b) 13 (c) 12 (d) 14
  39. 39.If 3x + 18 = x + 20, what is x? (a) 2 (b) 3 (c) 1 (d) 19
  40. 40.If 8x + 27 = 139, what is x? (a) 112 (b) 13 (c) 14 (d) 15

Answer key

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

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