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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 669 · 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 8x − 40 = 8, what is x? (a) 5 (b) 6 (c) 48 (d) 7
  2. 2.If 4x + 27 = 39, what is x? (a) 2 (b) 12 (c) 4 (d) 3
  3. 3.If 3x + 7 = 40, what is x? (a) 11 (b) 10 (c) 12 (d) 33
  4. 4.If x/5 + 2 = 11, what is x? (a) 65 (b) 53 (c) 9 (d) 45
  5. 5.If 2x + 6 = 10, what is x? (a) 3 (b) 4 (c) 2 (d) 8
  6. 6.If 4x + 9 = 3x + 11, what is x? (a) 2 (b) 20 (c) 4 (d) 3
  7. 7.If 8x + 16 = 4x + 28, what is x? (a) 4 (b) 1 (c) 3 (d) 11
  8. 8.If 8x + 19 = x + 96, what is x? (a) 13 (b) 12 (c) 11 (d) 10
  9. 9.If 2x − 20 = 8, what is x? (a) 13 (b) 14 (c) 28 (d) 15
  10. 10.If 3x − 3 = 12, what is x? (a) 15 (b) 5 (c) 6 (d) 3
  11. 11.If 8x + 6 = 22, what is x? (a) 16 (b) 2 (c) 1 (d) 3
  12. 12.If x/2 + 9 = 21, what is x? (a) 12 (b) 33 (c) 60 (d) 24
  13. 13.If 9x + 9 = 6x + 18, what is x? (a) 5 (b) 4 (c) 3 (d) 9
  14. 14.If x/4 + 2 = 8, what is x? (a) 40 (b) 24 (c) 30 (d) 6
  15. 15.If x/4 + 4 = 6, what is x? (a) 2 (b) 40 (c) 20 (d) 8
  16. 16.If 2x + 14 = 40, what is x? (a) 26 (b) 14 (c) 27 (d) 13
  17. 17.If 8x + 14 = 38, what is x? (a) 4 (b) 2 (c) 3 (d) 24
  18. 18.If 2x − 3 = 1, what is x? (a) 2 (b) 1 (c) 3 (d) 4
  19. 19.If 9x − 19 = 116, what is x? (a) 14 (b) 16 (c) 15 (d) 135
  20. 20.If x/2 + 8 = 19, what is x? (a) 11 (b) 22 (c) 30 (d) 54
  21. 21.If 3x − 11 = 10, what is x? (a) 21 (b) 6 (c) 8 (d) 7
  22. 22.If 3x − 10 = 11, what is x? (a) 21 (b) 6 (c) 8 (d) 7
  23. 23.If 8x + 15 = 2x + 27, what is x? (a) 4 (b) 3 (c) 7 (d) 2
  24. 24.If 3x − 11 = 1, what is x? (a) 5 (b) 12 (c) 4 (d) 3
  25. 25.If 8x + 11 = 2x + 47, what is x? (a) 8 (b) 6 (c) 5 (d) 7
  26. 26.If 3x − 12 = 33, what is x? (a) 45 (b) 15 (c) 7 (d) 16
  27. 27.If 6x + 30 = 78, what is x? (a) 18 (b) 8 (c) 48 (d) 9
  28. 28.If 9x − 65 = 16, what is x? (a) 8 (b) 9 (c) 10 (d) 81
  29. 29.If x/2 + 14 = 20, what is x? (a) 26 (b) 12 (c) 6 (d) 68
  30. 30.If 9x + 3 = 7x + 17, what is x? (a) 8 (b) 7 (c) 9 (d) 10
  31. 31.If 4x + 14 = 2x + 28, what is x? (a) 9 (b) 8 (c) 7 (d) 21
  32. 32.If x/2 + 7 = 10, what is x? (a) 13 (b) 3 (c) 34 (d) 6
  33. 33.If 6x + 5 = 41, what is x? (a) 7 (b) 5 (c) 6 (d) 36
  34. 34.If 3x + 19 = 61, what is x? (a) 42 (b) 14 (c) 13 (d) 15
  35. 35.If 3x + 16 = x + 30, what is x? (a) 23 (b) 9 (c) 7 (d) 8
  36. 36.If 3x + 27 = 66, what is x? (a) 14 (b) 39 (c) 31 (d) 13
  37. 37.If 6x + 5 = 83, what is x? (a) 78 (b) 14 (c) 12 (d) 13
  38. 38.If 3x + 26 = 38, what is x? (a) 3 (b) 12 (c) 5 (d) 4
  39. 39.If 5x + 14 = 3x + 24, what is x? (a) 19 (b) 5 (c) 7 (d) 6
  40. 40.If x/4 + 2 = 13, what is x? (a) 44 (b) 60 (c) 11 (d) 50

Answer key

  1. 6
  2. 3
  3. 11
  4. 45
  5. 2
  6. 2
  7. 3
  8. 11
  9. 14
  10. 5
  11. 2
  12. 24
  13. 3
  14. 24
  15. 8
  16. 13
  17. 3
  18. 2
  19. 15
  20. 22
  21. 7
  22. 7
  23. 2
  24. 4
  25. 6
  26. 15
  27. 8
  28. 9
  29. 12
  30. 7
  31. 7
  32. 6
  33. 6
  34. 14
  35. 7
  36. 13
  37. 13
  38. 4
  39. 5
  40. 44

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