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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 396 · 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 − 32 = 13, what is x? (a) 8 (b) 9 (c) 45 (d) 10
  2. 2.If 4x − 5 = 3, what is x? (a) 2 (b) 1 (c) 8 (d) 3
  3. 3.If 6x + 28 = 106, what is x? (a) 78 (b) 12 (c) 13 (d) 14
  4. 4.If 8x + 6 = 54, what is x? (a) 7 (b) 48 (c) 5 (d) 6
  5. 5.If 4x + 19 = 31, what is x? (a) 4 (b) 12 (c) 2 (d) 3
  6. 6.If x/2 + 7 = 13, what is x? (a) 40 (b) 19 (c) 6 (d) 12
  7. 7.If 6x − 17 = 43, what is x? (a) 11 (b) 9 (c) 60 (d) 10
  8. 8.If 6x + 5 = 2x + 41, what is x? (a) 10 (b) 8 (c) 11 (d) 9
  9. 9.If 3x + 7 = 13, what is x? (a) 3 (b) 1 (c) 2 (d) 6
  10. 10.If 8x − 85 = 3, what is x? (a) 12 (b) 11 (c) 10 (d) 88
  11. 11.If 9x + 12 = 7x + 16, what is x? (a) 4 (b) 3 (c) 2 (d) 14
  12. 12.If 4x − 18 = 38, what is x? (a) 14 (b) 5 (c) 56 (d) 15
  13. 13.If 2x − 12 = 6, what is x? (a) 18 (b) 8 (c) 10 (d) 9
  14. 14.If x/3 + 4 = 16, what is x? (a) 12 (b) 36 (c) 44 (d) 60
  15. 15.If 8x + 19 = x + 33, what is x? (a) 4 (b) 2 (c) 3 (d) 1
  16. 16.If 6x + 19 = 2x + 43, what is x? (a) 3 (b) 8 (c) 7 (d) 6
  17. 17.If x/4 + 4 = 14, what is x? (a) 52 (b) 10 (c) 40 (d) 72
  18. 18.If 5x − 27 = 33, what is x? (a) 60 (b) 11 (c) 12 (d) 13
  19. 19.If 8x + 13 = 2x + 85, what is x? (a) 13 (b) 11 (c) 12 (d) 14
  20. 20.If 7x + 24 = 52, what is x? (a) 3 (b) 4 (c) 28 (d) 5
  21. 21.If 4x + 18 = 46, what is x? (a) 8 (b) 28 (c) 16 (d) 7
  22. 22.If 3x − 2 = 4, what is x? (a) 1 (b) 3 (c) 2 (d) 6
  23. 23.If 4x − 3 = 17, what is x? (a) 20 (b) 5 (c) 6 (d) 4
  24. 24.If 8x + 14 = 7x + 17, what is x? (a) 31 (b) 4 (c) 3 (d) 5
  25. 25.If 6x − 25 = 35, what is x? (a) 11 (b) 10 (c) 60 (d) 9
  26. 26.If 5x − 30 = 5, what is x? (a) 6 (b) 8 (c) 35 (d) 7
  27. 27.If 6x − 19 = 53, what is x? (a) 12 (b) 72 (c) 11 (d) 13
  28. 28.If 5x + 5 = 3x + 21, what is x? (a) 9 (b) 2 (c) 8 (d) 13
  29. 29.If 2x + 15 = 41, what is x? (a) 14 (b) 13 (c) 28 (d) 26
  30. 30.If 5x + 11 = 3x + 13, what is x? (a) 3 (b) 12 (c) 1 (d) 2
  31. 31.If x/2 + 5 = 12, what is x? (a) 7 (b) 19 (c) 34 (d) 14
  32. 32.If 7x + 1 = 2x + 26, what is x? (a) 4 (b) 6 (c) 5 (d) 7
  33. 33.If 6x − 34 = 26, what is x? (a) 10 (b) 9 (c) 60 (d) 11
  34. 34.If 9x − 7 = 29, what is x? (a) 36 (b) 4 (c) 5 (d) 3
  35. 35.If 6x + 20 = 3x + 53, what is x? (a) 13 (b) 11 (c) 10 (d) 12
  36. 36.If 3x − 27 = 3, what is x? (a) 11 (b) 30 (c) 9 (d) 10
  37. 37.If 4x + 26 = 46, what is x? (a) 6 (b) 18 (c) 5 (d) 20
  38. 38.If 6x + 7 = 5x + 13, what is x? (a) 20 (b) 8 (c) 6 (d) 7
  39. 39.If x/5 + 14 = 23, what is x? (a) 9 (b) 45 (c) 101 (d) 185
  40. 40.If 9x + 16 = 70, what is x? (a) 54 (b) 7 (c) 6 (d) 5

Answer key

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

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