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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 497 · 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 + 6 = 54, what is x? (a) 48 (b) 5 (c) 7 (d) 6
  2. 2.If 9x + 30 = 66, what is x? (a) 5 (b) 3 (c) 4 (d) 36
  3. 3.If 3x − 3 = 36, what is x? (a) 39 (b) 13 (c) 11 (d) 14
  4. 4.If 4x − 6 = 30, what is x? (a) 10 (b) 9 (c) 36 (d) 6
  5. 5.If 7x + 19 = 89, what is x? (a) 11 (b) 9 (c) 70 (d) 10
  6. 6.If 6x + 5 = 17, what is x? (a) 2 (b) 3 (c) 1 (d) 12
  7. 7.If 3x + 14 = 23, what is x? (a) 2 (b) 9 (c) 3 (d) 4
  8. 8.If 3x + 6 = 39, what is x? (a) 12 (b) 33 (c) 15 (d) 11
  9. 9.If 7x − 22 = 20, what is x? (a) 42 (b) 6 (c) 7 (d) 5
  10. 10.If 7x + 25 = 67, what is x? (a) 5 (b) 6 (c) 42 (d) 7
  11. 11.If x/5 + 6 = 9, what is x? (a) 3 (b) 75 (c) 39 (d) 15
  12. 12.If x/2 + 2 = 9, what is x? (a) 16 (b) 7 (c) 22 (d) 14
  13. 13.If 6x − 10 = 14, what is x? (a) 4 (b) 3 (c) 5 (d) 24
  14. 14.If 4x + 17 = 73, what is x? (a) 15 (b) 56 (c) 13 (d) 14
  15. 15.If x/2 + 6 = 11, what is x? (a) 5 (b) 16 (c) 34 (d) 10
  16. 16.If 7x − 83 = 1, what is x? (a) 11 (b) 13 (c) 12 (d) 84
  17. 17.If 4x + 2 = 14, what is x? (a) 2 (b) 12 (c) 4 (d) 3
  18. 18.If 3x + 10 = 2x + 13, what is x? (a) 4 (b) 5 (c) 3 (d) 23
  19. 19.If x/2 + 9 = 13, what is x? (a) 4 (b) 17 (c) 8 (d) 44
  20. 20.If 8x + 20 = 2x + 26, what is x? (a) 1 (b) 2 (c) 3 (d) 4
  21. 21.If 2x + 13 = 37, what is x? (a) 25 (b) 24 (c) 13 (d) 12
  22. 22.If 3x − 27 = 3, what is x? (a) 11 (b) 9 (c) 30 (d) 10
  23. 23.If x/6 + 1 = 5, what is x? (a) 24 (b) 29 (c) 4 (d) 36
  24. 24.If x/2 + 5 = 9, what is x? (a) 13 (b) 4 (c) 28 (d) 8
  25. 25.If 6x + 6 = x + 46, what is x? (a) 7 (b) 8 (c) 10 (d) 9
  26. 26.If 9x + 18 = 5x + 42, what is x? (a) 6 (b) 7 (c) 8 (d) 15
  27. 27.If 4x + 16 = 28, what is x? (a) 4 (b) 3 (c) 11 (d) 12
  28. 28.If 9x + 1 = 7x + 5, what is x? (a) 1 (b) 4 (c) 3 (d) 2
  29. 29.If 3x − 25 = 11, what is x? (a) 11 (b) 13 (c) 36 (d) 12
  30. 30.If 6x + 25 = 49, what is x? (a) 4 (b) 5 (c) 24 (d) 3
  31. 31.If 8x + 3 = 6x + 11, what is x? (a) 7 (b) 6 (c) 5 (d) 4
  32. 32.If 8x − 18 = 6, what is x? (a) 2 (b) 3 (c) 4 (d) 24
  33. 33.If 5x + 20 = x + 52, what is x? (a) 9 (b) 10 (c) 8 (d) 18
  34. 34.If x/3 + 7 = 13, what is x? (a) 60 (b) 6 (c) 32 (d) 18
  35. 35.If 6x + 3 = 2x + 27, what is x? (a) 7 (b) 6 (c) 8 (d) 3
  36. 36.If 8x + 17 = 5x + 29, what is x? (a) 5 (b) 6 (c) 3 (d) 4
  37. 37.If x/5 + 8 = 11, what is x? (a) 15 (b) 3 (c) 95 (d) 47
  38. 38.If 4x + 6 = 26, what is x? (a) 6 (b) 8 (c) 5 (d) 20
  39. 39.If 5x + 8 = 4x + 9, what is x? (a) 1 (b) 2 (c) 3 (d) 17
  40. 40.If 8x − 7 = 25, what is x? (a) 32 (b) 5 (c) 3 (d) 4

Answer key

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

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