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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 832 · 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 + 7 = x + 25, what is x? (a) 10 (b) 16 (c) 11 (d) 9
  2. 2.If 7x + 17 = 101, what is x? (a) 84 (b) 12 (c) 11 (d) 13
  3. 3.If 8x − 17 = 87, what is x? (a) 14 (b) 13 (c) 12 (d) 104
  4. 4.If 3x + 27 = 66, what is x? (a) 39 (b) 31 (c) 13 (d) 14
  5. 5.If x/2 + 5 = 9, what is x? (a) 28 (b) 13 (c) 4 (d) 8
  6. 6.If 4x + 23 = 59, what is x? (a) 10 (b) 36 (c) 8 (d) 9
  7. 7.If 3x + 22 = 43, what is x? (a) 8 (b) 21 (c) 6 (d) 7
  8. 8.If x/2 + 10 = 13, what is x? (a) 16 (b) 3 (c) 46 (d) 6
  9. 9.If 9x − 71 = 37, what is x? (a) 12 (b) 13 (c) 108 (d) 11
  10. 10.If 9x − 14 = 40, what is x? (a) 5 (b) 6 (c) 7 (d) 54
  11. 11.If 8x + 16 = 5x + 28, what is x? (a) 3 (b) 6 (c) 5 (d) 4
  12. 12.If 9x − 21 = 78, what is x? (a) 99 (b) 12 (c) 10 (d) 11
  13. 13.If x/2 + 7 = 14, what is x? (a) 42 (b) 21 (c) 7 (d) 14
  14. 14.If 7x − 20 = 78, what is x? (a) 14 (b) 15 (c) 13 (d) 98
  15. 15.If x/2 + 3 = 9, what is x? (a) 6 (b) 12 (c) 24 (d) 15
  16. 16.If 7x − 22 = 41, what is x? (a) 10 (b) 63 (c) 9 (d) 8
  17. 17.If 4x − 17 = 35, what is x? (a) 13 (b) 12 (c) 14 (d) 52
  18. 18.If 6x + 9 = 2x + 37, what is x? (a) 9 (b) 6 (c) 7 (d) 8
  19. 19.If 5x − 13 = 27, what is x? (a) 40 (b) 7 (c) 8 (d) 9
  20. 20.If 3x + 25 = 34, what is x? (a) 2 (b) 4 (c) 3 (d) 9
  21. 21.If 7x + 10 = 3x + 58, what is x? (a) 14 (b) 13 (c) 17 (d) 12
  22. 22.If 2x − 1 = 23, what is x? (a) 24 (b) 11 (c) 13 (d) 12
  23. 23.If x/2 + 11 = 16, what is x? (a) 5 (b) 54 (c) 21 (d) 10
  24. 24.If 5x + 20 = 4x + 22, what is x? (a) 2 (b) 42 (c) 4 (d) 3
  25. 25.If 4x + 4 = 2x + 12, what is x? (a) 5 (b) 6 (c) 8 (d) 4
  26. 26.If 2x − 14 = 16, what is x? (a) 30 (b) 15 (c) 16 (d) 1
  27. 27.If 4x − 3 = 5, what is x? (a) 3 (b) 1 (c) 8 (d) 2
  28. 28.If 3x + 30 = 69, what is x? (a) 33 (b) 14 (c) 39 (d) 13
  29. 29.If 4x + 11 = 67, what is x? (a) 56 (b) 14 (c) 13 (d) 15
  30. 30.If 3x − 12 = 9, what is x? (a) 8 (b) 7 (c) 6 (d) 21
  31. 31.If 2x − 2 = 2, what is x? (a) 3 (b) 1 (c) 4 (d) 2
  32. 32.If x/3 + 1 = 3, what is x? (a) 12 (b) 8 (c) 2 (d) 6
  33. 33.If 9x + 12 = 6x + 24, what is x? (a) 12 (b) 4 (c) 5 (d) 6
  34. 34.If 6x + 11 = 2x + 19, what is x? (a) 4 (b) 1 (c) 2 (d) 3
  35. 35.If 5x + 14 = 29, what is x? (a) 4 (b) 2 (c) 15 (d) 3
  36. 36.If 2x + 10 = 38, what is x? (a) 15 (b) 28 (c) 14 (d) 24
  37. 37.If 8x + 9 = 3x + 39, what is x? (a) 6 (b) 7 (c) 5 (d) 8
  38. 38.If 6x + 9 = 87, what is x? (a) 13 (b) 78 (c) 16 (d) 14
  39. 39.If 8x + 5 = 101, what is x? (a) 11 (b) 96 (c) 12 (d) 13
  40. 40.If 8x + 21 = 53, what is x? (a) 4 (b) 5 (c) 3 (d) 32

Answer key

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

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