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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 79 · 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 5x − 44 = 16, what is x? (a) 11 (b) 12 (c) 13 (d) 60
  2. 2.If 3x + 16 = x + 20, what is x? (a) 1 (b) 3 (c) 2 (d) 18
  3. 3.If x/4 + 3 = 7, what is x? (a) 4 (b) 16 (c) 25 (d) 40
  4. 4.If x/2 + 3 = 8, what is x? (a) 13 (b) 5 (c) 22 (d) 10
  5. 5.If 5x − 20 = 40, what is x? (a) 12 (b) 13 (c) 4 (d) 60
  6. 6.If 5x + 29 = 44, what is x? (a) 2 (b) 15 (c) 4 (d) 3
  7. 7.If 9x + 7 = 3x + 37, what is x? (a) 4 (b) 5 (c) 7 (d) 6
  8. 8.If 3x + 5 = x + 15, what is x? (a) 5 (b) 10 (c) 6 (d) 7
  9. 9.If 2x − 1 = 11, what is x? (a) 6 (b) 5 (c) 7 (d) 12
  10. 10.If 9x − 25 = 38, what is x? (a) 63 (b) 8 (c) 6 (d) 7
  11. 11.If x/2 + 4 = 7, what is x? (a) 6 (b) 10 (c) 3 (d) 22
  12. 12.If 2x + 11 = 29, what is x? (a) 10 (b) 18 (c) 9 (d) 20
  13. 13.If 8x − 21 = 11, what is x? (a) 3 (b) 5 (c) 32 (d) 4
  14. 14.If x/4 + 1 = 5, what is x? (a) 4 (b) 16 (c) 19 (d) 24
  15. 15.If 8x − 11 = 109, what is x? (a) 120 (b) 15 (c) 14 (d) 16
  16. 16.If 5x + 6 = x + 26, what is x? (a) 5 (b) 8 (c) 6 (d) 7
  17. 17.If 9x + 26 = 161, what is x? (a) 14 (b) 135 (c) 16 (d) 15
  18. 18.If 6x − 2 = 52, what is x? (a) 9 (b) 8 (c) 54 (d) 10
  19. 19.If 7x + 15 = 4x + 24, what is x? (a) 4 (b) 5 (c) 3 (d) 13
  20. 20.If x/3 + 15 = 20, what is x? (a) 45 (b) 105 (c) 15 (d) 5
  21. 21.If x/6 + 11 = 21, what is x? (a) 192 (b) 60 (c) 115 (d) 10
  22. 22.If 8x − 34 = 78, what is x? (a) 13 (b) 15 (c) 112 (d) 14
  23. 23.If 4x + 17 = 49, what is x? (a) 7 (b) 8 (c) 9 (d) 32
  24. 24.If 8x + 18 = 82, what is x? (a) 64 (b) 9 (c) 7 (d) 8
  25. 25.If 9x − 37 = 35, what is x? (a) 72 (b) 8 (c) 7 (d) 9
  26. 26.If 4x + 13 = 57, what is x? (a) 10 (b) 44 (c) 11 (d) 12
  27. 27.If 5x + 30 = 50, what is x? (a) 16 (b) 20 (c) 4 (d) 5
  28. 28.If 2x − 3 = 13, what is x? (a) 9 (b) 16 (c) 5 (d) 8
  29. 29.If 2x − 5 = 17, what is x? (a) 22 (b) 12 (c) 6 (d) 11
  30. 30.If 6x + 5 = 29, what is x? (a) 4 (b) 24 (c) 3 (d) 5
  31. 31.If x/3 + 3 = 6, what is x? (a) 3 (b) 27 (c) 15 (d) 9
  32. 32.If 5x − 28 = 22, what is x? (a) 50 (b) 11 (c) 9 (d) 10
  33. 33.If 8x + 4 = x + 81, what is x? (a) 12 (b) 13 (c) 10 (d) 11
  34. 34.If x/2 + 10 = 17, what is x? (a) 24 (b) 54 (c) 14 (d) 7
  35. 35.If 7x − 25 = 73, what is x? (a) 98 (b) 13 (c) 15 (d) 14
  36. 36.If 8x + 21 = 53, what is x? (a) 32 (b) 3 (c) 5 (d) 4
  37. 37.If 9x + 4 = 85, what is x? (a) 8 (b) 9 (c) 10 (d) 81
  38. 38.If 4x + 20 = 3x + 29, what is x? (a) 10 (b) 9 (c) 11 (d) 49
  39. 39.If 7x + 1 = 3x + 17, what is x? (a) 6 (b) 5 (c) 4 (d) 3
  40. 40.If 9x + 7 = 34, what is x? (a) 27 (b) 3 (c) 4 (d) 2

Answer key

  1. 12
  2. 2
  3. 16
  4. 10
  5. 12
  6. 3
  7. 5
  8. 5
  9. 6
  10. 7
  11. 6
  12. 9
  13. 4
  14. 16
  15. 15
  16. 5
  17. 15
  18. 9
  19. 3
  20. 15
  21. 60
  22. 14
  23. 8
  24. 8
  25. 8
  26. 11
  27. 4
  28. 8
  29. 11
  30. 4
  31. 9
  32. 10
  33. 11
  34. 14
  35. 14
  36. 4
  37. 9
  38. 9
  39. 4
  40. 3

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