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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 357 · 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 4x + 21 = 53, what is x? (a) 8 (b) 9 (c) 32 (d) 7
  2. 2.If 5x − 3 = 57, what is x? (a) 13 (b) 11 (c) 12 (d) 60
  3. 3.If 9x + 26 = 53, what is x? (a) 2 (b) 4 (c) 27 (d) 3
  4. 4.If 5x − 9 = 1, what is x? (a) 2 (b) 10 (c) 3 (d) 1
  5. 5.If 3x − 5 = 1, what is x? (a) 3 (b) 1 (c) 6 (d) 2
  6. 6.If 8x + 3 = 2x + 75, what is x? (a) 14 (b) 13 (c) 11 (d) 12
  7. 7.If 6x + 2 = 2x + 22, what is x? (a) 5 (b) 7 (c) 6 (d) 4
  8. 8.If 4x − 1 = 15, what is x? (a) 3 (b) 5 (c) 16 (d) 4
  9. 9.If x/3 + 4 = 14, what is x? (a) 30 (b) 10 (c) 38 (d) 54
  10. 10.If 6x + 21 = 69, what is x? (a) 48 (b) 9 (c) 8 (d) 15
  11. 11.If 7x + 6 = 4x + 27, what is x? (a) 8 (b) 9 (c) 7 (d) 11
  12. 12.If x/2 + 2 = 10, what is x? (a) 24 (b) 18 (c) 8 (d) 16
  13. 13.If x/4 + 1 = 7, what is x? (a) 6 (b) 32 (c) 27 (d) 24
  14. 14.If 4x + 8 = x + 44, what is x? (a) 13 (b) 12 (c) 11 (d) 14
  15. 15.If 8x + 20 = 108, what is x? (a) 88 (b) 11 (c) 12 (d) 16
  16. 16.If x/6 + 8 = 16, what is x? (a) 144 (b) 8 (c) 48 (d) 88
  17. 17.If 4x + 17 = x + 38, what is x? (a) 8 (b) 6 (c) 7 (d) 9
  18. 18.If 6x + 2 = 3x + 29, what is x? (a) 3 (b) 10 (c) 9 (d) 11
  19. 19.If 6x + 20 = 98, what is x? (a) 12 (b) 78 (c) 14 (d) 13
  20. 20.If 3x + 7 = x + 27, what is x? (a) 17 (b) 5 (c) 11 (d) 10
  21. 21.If x/2 + 8 = 18, what is x? (a) 52 (b) 28 (c) 20 (d) 10
  22. 22.If 5x − 36 = 4, what is x? (a) 7 (b) 40 (c) 9 (d) 8
  23. 23.If 2x + 5 = 13, what is x? (a) 4 (b) 9 (c) 5 (d) 8
  24. 24.If 5x − 42 = 13, what is x? (a) 10 (b) 55 (c) 12 (d) 11
  25. 25.If 7x + 18 = 3x + 66, what is x? (a) 14 (b) 12 (c) 13 (d) 21
  26. 26.If 8x + 10 = 3x + 55, what is x? (a) 13 (b) 9 (c) 11 (d) 10
  27. 27.If 9x + 7 = 6x + 37, what is x? (a) 2 (b) 10 (c) 12 (d) 11
  28. 28.If 4x + 5 = x + 32, what is x? (a) 8 (b) 9 (c) 11 (d) 10
  29. 29.If 4x + 3 = 3x + 8, what is x? (a) 6 (b) 11 (c) 7 (d) 5
  30. 30.If 8x + 26 = 74, what is x? (a) 7 (b) 48 (c) 5 (d) 6
  31. 31.If 9x + 1 = 5x + 45, what is x? (a) 11 (b) 10 (c) 13 (d) 12
  32. 32.If 6x − 14 = 22, what is x? (a) 36 (b) 5 (c) 6 (d) 7
  33. 33.If 5x + 7 = x + 11, what is x? (a) 2 (b) 4 (c) 1 (d) 3
  34. 34.If 6x + 27 = 57, what is x? (a) 14 (b) 30 (c) 6 (d) 5
  35. 35.If 7x + 8 = 71, what is x? (a) 63 (b) 10 (c) 8 (d) 9
  36. 36.If 6x + 9 = 3x + 36, what is x? (a) 15 (b) 9 (c) 10 (d) 3
  37. 37.If 2x − 12 = 2, what is x? (a) 8 (b) 6 (c) 14 (d) 7
  38. 38.If x/2 + 11 = 13, what is x? (a) 4 (b) 48 (c) 15 (d) 2
  39. 39.If 2x − 15 = 7, what is x? (a) 22 (b) 11 (c) 10 (d) 12
  40. 40.If 7x + 2 = 100, what is x? (a) 14 (b) 98 (c) 15 (d) 13

Answer key

  1. 8
  2. 12
  3. 3
  4. 2
  5. 2
  6. 12
  7. 5
  8. 4
  9. 30
  10. 8
  11. 7
  12. 16
  13. 24
  14. 12
  15. 11
  16. 48
  17. 7
  18. 9
  19. 13
  20. 10
  21. 20
  22. 8
  23. 4
  24. 11
  25. 12
  26. 9
  27. 10
  28. 9
  29. 5
  30. 6
  31. 11
  32. 6
  33. 1
  34. 5
  35. 9
  36. 9
  37. 7
  38. 4
  39. 11
  40. 14

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