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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 537 · 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 7x − 11 = 52, what is x? (a) 8 (b) 63 (c) 10 (d) 9
  2. 2.If 3x − 13 = 20, what is x? (a) 11 (b) 33 (c) 10 (d) 12
  3. 3.If 9x + 23 = 41, what is x? (a) 3 (b) 2 (c) 18 (d) 1
  4. 4.If 5x + 5 = 3x + 25, what is x? (a) 10 (b) 12 (c) 15 (d) 11
  5. 5.If 2x − 12 = 4, what is x? (a) 9 (b) 7 (c) 16 (d) 8
  6. 6.If 8x + 1 = 25, what is x? (a) 2 (b) 4 (c) 24 (d) 3
  7. 7.If 3x + 2 = 2x + 10, what is x? (a) 8 (b) 12 (c) 10 (d) 9
  8. 8.If 2x + 20 = 50, what is x? (a) 16 (b) 30 (c) 15 (d) 35
  9. 9.If 4x + 18 = 70, what is x? (a) 14 (b) 13 (c) 22 (d) 52
  10. 10.If 3x + 20 = x + 30, what is x? (a) 5 (b) 7 (c) 25 (d) 6
  11. 11.If 4x + 5 = x + 17, what is x? (a) 6 (b) 5 (c) 3 (d) 4
  12. 12.If x/3 + 6 = 18, what is x? (a) 72 (b) 36 (c) 12 (d) 48
  13. 13.If 6x + 16 = 4x + 28, what is x? (a) 22 (b) 7 (c) 6 (d) 8
  14. 14.If 2x − 5 = 3, what is x? (a) 8 (b) 5 (c) 3 (d) 4
  15. 15.If 7x + 12 = 2x + 22, what is x? (a) 4 (b) 3 (c) 1 (d) 2
  16. 16.If 5x − 1 = 64, what is x? (a) 14 (b) 13 (c) 65 (d) 12
  17. 17.If 9x − 8 = 127, what is x? (a) 14 (b) 16 (c) 15 (d) 135
  18. 18.If 3x − 15 = 21, what is x? (a) 2 (b) 12 (c) 13 (d) 36
  19. 19.If 4x + 6 = x + 27, what is x? (a) 7 (b) 8 (c) 9 (d) 11
  20. 20.If 6x + 13 = 91, what is x? (a) 78 (b) 14 (c) 12 (d) 13
  21. 21.If 5x − 15 = 30, what is x? (a) 10 (b) 45 (c) 3 (d) 9
  22. 22.If 4x + 1 = 3x + 11, what is x? (a) 11 (b) 10 (c) 12 (d) 9
  23. 23.If 4x + 9 = 2x + 11, what is x? (a) 10 (b) 3 (c) 2 (d) 1
  24. 24.If 2x + 29 = 35, what is x? (a) 4 (b) 3 (c) 6 (d) 32
  25. 25.If 3x − 15 = 9, what is x? (a) 9 (b) 7 (c) 8 (d) 24
  26. 26.If 9x + 1 = 4x + 56, what is x? (a) 12 (b) 13 (c) 10 (d) 11
  27. 27.If 2x + 7 = 31, what is x? (a) 13 (b) 12 (c) 19 (d) 24
  28. 28.If 6x + 27 = 63, what is x? (a) 6 (b) 15 (c) 7 (d) 36
  29. 29.If 8x − 57 = 7, what is x? (a) 64 (b) 7 (c) 9 (d) 8
  30. 30.If 7x + 15 = x + 51, what is x? (a) 11 (b) 6 (c) 7 (d) 8
  31. 31.If 4x + 16 = 2x + 32, what is x? (a) 10 (b) 24 (c) 9 (d) 8
  32. 32.If x/5 + 2 = 9, what is x? (a) 35 (b) 7 (c) 55 (d) 43
  33. 33.If 3x − 13 = 14, what is x? (a) 9 (b) 8 (c) 10 (d) 27
  34. 34.If 7x + 8 = 92, what is x? (a) 12 (b) 13 (c) 11 (d) 84
  35. 35.If x/2 + 14 = 16, what is x? (a) 60 (b) 18 (c) 4 (d) 2
  36. 36.If 5x − 3 = 62, what is x? (a) 12 (b) 13 (c) 14 (d) 65
  37. 37.If x/6 + 6 = 9, what is x? (a) 18 (b) 3 (c) 48 (d) 90
  38. 38.If 8x + 9 = 41, what is x? (a) 32 (b) 5 (c) 3 (d) 4
  39. 39.If x/2 + 7 = 15, what is x? (a) 16 (b) 44 (c) 23 (d) 8
  40. 40.If 8x + 13 = 109, what is x? (a) 12 (b) 11 (c) 96 (d) 13

Answer key

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

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