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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 241 · 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 x/6 + 3 = 7, what is x? (a) 39 (b) 24 (c) 60 (d) 4
  2. 2.If 2x − 7 = 9, what is x? (a) 16 (b) 9 (c) 1 (d) 8
  3. 3.If 5x − 36 = 4, what is x? (a) 7 (b) 40 (c) 8 (d) 9
  4. 4.If 2x − 2 = 2, what is x? (a) 4 (b) 2 (c) 1 (d) 3
  5. 5.If 3x + 2 = 14, what is x? (a) 5 (b) 3 (c) 12 (d) 4
  6. 6.If 4x + 20 = 2x + 34, what is x? (a) 9 (b) 7 (c) 8 (d) 27
  7. 7.If 5x + 6 = 3x + 18, what is x? (a) 6 (b) 8 (c) 7 (d) 12
  8. 8.If 4x + 1 = 21, what is x? (a) 5 (b) 20 (c) 6 (d) 4
  9. 9.If x/6 + 6 = 10, what is x? (a) 96 (b) 24 (c) 4 (d) 54
  10. 10.If 3x + 2 = x + 10, what is x? (a) 6 (b) 5 (c) 2 (d) 4
  11. 11.If x/5 + 13 = 20, what is x? (a) 7 (b) 165 (c) 35 (d) 87
  12. 12.If 4x + 21 = 81, what is x? (a) 60 (b) 16 (c) 14 (d) 15
  13. 13.If 3x − 9 = 12, what is x? (a) 1 (b) 7 (c) 21 (d) 8
  14. 14.If 4x + 17 = 37, what is x? (a) 20 (b) 4 (c) 5 (d) 6
  15. 15.If 6x − 7 = 11, what is x? (a) 4 (b) 3 (c) 2 (d) 18
  16. 16.If 5x − 3 = 12, what is x? (a) 2 (b) 15 (c) 4 (d) 3
  17. 17.If x/6 + 10 = 12, what is x? (a) 12 (b) 2 (c) 132 (d) 62
  18. 18.If 3x − 4 = 5, what is x? (a) 3 (b) 2 (c) 4 (d) 9
  19. 19.If 7x + 4 = 3x + 16, what is x? (a) 3 (b) 2 (c) 4 (d) 5
  20. 20.If 5x + 7 = 2x + 34, what is x? (a) 11 (b) 9 (c) 10 (d) 8
  21. 21.If 3x + 6 = 12, what is x? (a) 1 (b) 2 (c) 3 (d) 6
  22. 22.If 5x − 8 = 2, what is x? (a) 2 (b) 3 (c) 10 (d) 1
  23. 23.If x/2 + 12 = 20, what is x? (a) 8 (b) 64 (c) 16 (d) 28
  24. 24.If 5x + 4 = 2x + 19, what is x? (a) 7 (b) 6 (c) 4 (d) 5
  25. 25.If 3x − 34 = 2, what is x? (a) 11 (b) 12 (c) 13 (d) 36
  26. 26.If 5x + 18 = 3x + 32, what is x? (a) 7 (b) 25 (c) 8 (d) 9
  27. 27.If 3x + 23 = 59, what is x? (a) 36 (b) 11 (c) 12 (d) 13
  28. 28.If 2x + 10 = 18, what is x? (a) 14 (b) 4 (c) 5 (d) 8
  29. 29.If x/2 + 1 = 9, what is x? (a) 8 (b) 20 (c) 17 (d) 16
  30. 30.If 7x − 65 = 5, what is x? (a) 70 (b) 11 (c) 9 (d) 10
  31. 31.If x/4 + 13 = 15, what is x? (a) 2 (b) 112 (c) 47 (d) 8
  32. 32.If 3x + 2 = 2x + 10, what is x? (a) 10 (b) 12 (c) 8 (d) 9
  33. 33.If 8x + 5 = 6x + 23, what is x? (a) 11 (b) 10 (c) 14 (d) 9
  34. 34.If 6x + 15 = x + 50, what is x? (a) 7 (b) 13 (c) 8 (d) 5
  35. 35.If 7x + 4 = 32, what is x? (a) 4 (b) 5 (c) 28 (d) 3
  36. 36.If 9x + 13 = 3x + 19, what is x? (a) 3 (b) 1 (c) 4 (d) 2
  37. 37.If 4x + 19 = 35, what is x? (a) 5 (b) 16 (c) 3 (d) 4
  38. 38.If 4x − 17 = 11, what is x? (a) 8 (b) 6 (c) 7 (d) 28
  39. 39.If 4x + 30 = 42, what is x? (a) 4 (b) 12 (c) 3 (d) 18
  40. 40.If 6x − 21 = 33, what is x? (a) 9 (b) 10 (c) 2 (d) 54

Answer key

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

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