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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 584 · 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 = 97, what is x? (a) 15 (b) 90 (c) 14 (d) 16
  2. 2.If 4x + 10 = 2x + 24, what is x? (a) 7 (b) 9 (c) 8 (d) 17
  3. 3.If 5x + 1 = x + 37, what is x? (a) 11 (b) 6 (c) 9 (d) 10
  4. 4.If 9x − 84 = 51, what is x? (a) 16 (b) 14 (c) 15 (d) 135
  5. 5.If 3x + 1 = x + 15, what is x? (a) 6 (b) 9 (c) 7 (d) 8
  6. 6.If x/6 + 9 = 21, what is x? (a) 180 (b) 72 (c) 12 (d) 117
  7. 7.If 7x − 7 = 14, what is x? (a) 1 (b) 21 (c) 4 (d) 3
  8. 8.If 7x + 17 = 45, what is x? (a) 3 (b) 4 (c) 28 (d) 5
  9. 9.If 9x + 29 = 128, what is x? (a) 12 (b) 11 (c) 10 (d) 99
  10. 10.If 4x + 13 = x + 28, what is x? (a) 5 (b) 6 (c) 7 (d) 3
  11. 11.If 9x − 5 = 22, what is x? (a) 27 (b) 2 (c) 3 (d) 4
  12. 12.If 4x − 1 = 11, what is x? (a) 12 (b) 3 (c) 4 (d) 2
  13. 13.If 9x + 12 = 5x + 40, what is x? (a) 13 (b) 7 (c) 8 (d) 2
  14. 14.If 2x − 21 = 5, what is x? (a) 13 (b) 12 (c) 26 (d) 14
  15. 15.If 9x + 23 = 50, what is x? (a) 2 (b) 4 (c) 3 (d) 27
  16. 16.If 4x + 6 = 66, what is x? (a) 16 (b) 15 (c) 60 (d) 18
  17. 17.If 3x + 20 = 32, what is x? (a) 5 (b) 4 (c) 12 (d) 3
  18. 18.If 3x + 5 = 32, what is x? (a) 10 (b) 8 (c) 27 (d) 9
  19. 19.If 3x + 15 = x + 35, what is x? (a) 11 (b) 10 (c) 25 (d) 5
  20. 20.If 9x − 44 = 10, what is x? (a) 6 (b) 7 (c) 5 (d) 54
  21. 21.If x/4 + 7 = 13, what is x? (a) 24 (b) 6 (c) 80 (d) 45
  22. 22.If 2x + 5 = 25, what is x? (a) 15 (b) 10 (c) 11 (d) 20
  23. 23.If 4x + 20 = x + 23, what is x? (a) 2 (b) 3 (c) 4 (d) 1
  24. 24.If 7x + 6 = 69, what is x? (a) 10 (b) 8 (c) 9 (d) 63
  25. 25.If x/3 + 10 = 19, what is x? (a) 9 (b) 87 (c) 47 (d) 27
  26. 26.If x/2 + 7 = 9, what is x? (a) 11 (b) 32 (c) 2 (d) 4
  27. 27.If 2x − 7 = 19, what is x? (a) 26 (b) 14 (c) 6 (d) 13
  28. 28.If x/5 + 13 = 21, what is x? (a) 8 (b) 170 (c) 92 (d) 40
  29. 29.If 5x + 21 = 96, what is x? (a) 15 (b) 75 (c) 16 (d) 14
  30. 30.If x/2 + 13 = 15, what is x? (a) 56 (b) 17 (c) 4 (d) 2
  31. 31.If 2x − 11 = 1, what is x? (a) 6 (b) 7 (c) 5 (d) 12
  32. 32.If 3x + 22 = 52, what is x? (a) 30 (b) 11 (c) 10 (d) 9
  33. 33.If 9x + 4 = 94, what is x? (a) 11 (b) 10 (c) 90 (d) 9
  34. 34.If 9x − 25 = 2, what is x? (a) 27 (b) 4 (c) 2 (d) 3
  35. 35.If 5x + 21 = 81, what is x? (a) 60 (b) 11 (c) 12 (d) 13
  36. 36.If 8x + 29 = 149, what is x? (a) 16 (b) 15 (c) 14 (d) 120
  37. 37.If x/5 + 9 = 17, what is x? (a) 130 (b) 40 (c) 8 (d) 76
  38. 38.If 5x + 11 = 2x + 35, what is x? (a) 10 (b) 9 (c) 7 (d) 8
  39. 39.If 3x + 4 = 16, what is x? (a) 3 (b) 12 (c) 4 (d) 5
  40. 40.If 5x − 10 = 5, what is x? (a) 2 (b) 15 (c) 3 (d) 4

Answer key

  1. 15
  2. 7
  3. 9
  4. 15
  5. 7
  6. 72
  7. 3
  8. 4
  9. 11
  10. 5
  11. 3
  12. 3
  13. 7
  14. 13
  15. 3
  16. 15
  17. 4
  18. 9
  19. 10
  20. 6
  21. 24
  22. 10
  23. 1
  24. 9
  25. 27
  26. 4
  27. 13
  28. 40
  29. 15
  30. 4
  31. 6
  32. 10
  33. 10
  34. 3
  35. 12
  36. 15
  37. 40
  38. 8
  39. 4
  40. 3

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