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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 334 · 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 + 2 = 58, what is x? (a) 6 (b) 7 (c) 56 (d) 8
  2. 2.If 8x − 26 = 6, what is x? (a) 4 (b) 5 (c) 32 (d) 3
  3. 3.If 2x + 13 = 19, what is x? (a) 3 (b) 16 (c) 6 (d) 4
  4. 4.If 5x + 4 = 34, what is x? (a) 6 (b) 5 (c) 7 (d) 30
  5. 5.If 4x + 18 = x + 54, what is x? (a) 13 (b) 12 (c) 14 (d) 24
  6. 6.If 7x − 54 = 23, what is x? (a) 10 (b) 77 (c) 12 (d) 11
  7. 7.If 6x + 30 = 66, what is x? (a) 6 (b) 36 (c) 7 (d) 16
  8. 8.If 4x + 15 = 51, what is x? (a) 9 (b) 10 (c) 36 (d) 8
  9. 9.If 5x + 7 = 32, what is x? (a) 25 (b) 4 (c) 5 (d) 6
  10. 10.If 3x + 9 = 15, what is x? (a) 2 (b) 3 (c) 6 (d) 8
  11. 11.If x/2 + 7 = 19, what is x? (a) 52 (b) 12 (c) 31 (d) 24
  12. 12.If 4x + 30 = 70, what is x? (a) 11 (b) 25 (c) 10 (d) 40
  13. 13.If 7x − 19 = 23, what is x? (a) 7 (b) 5 (c) 6 (d) 42
  14. 14.If 4x + 20 = 52, what is x? (a) 9 (b) 32 (c) 8 (d) 18
  15. 15.If 6x − 12 = 24, what is x? (a) 36 (b) 2 (c) 6 (d) 7
  16. 16.If 8x + 5 = 6x + 25, what is x? (a) 12 (b) 11 (c) 10 (d) 15
  17. 17.If 8x + 3 = 6x + 17, what is x? (a) 1 (b) 7 (c) 8 (d) 10
  18. 18.If 8x − 11 = 29, what is x? (a) 40 (b) 6 (c) 5 (d) 4
  19. 19.If 7x − 17 = 74, what is x? (a) 12 (b) 91 (c) 14 (d) 13
  20. 20.If x/5 + 8 = 11, what is x? (a) 3 (b) 15 (c) 95 (d) 47
  21. 21.If x/5 + 10 = 14, what is x? (a) 60 (b) 4 (c) 120 (d) 20
  22. 22.If 8x − 42 = 14, what is x? (a) 8 (b) 56 (c) 6 (d) 7
  23. 23.If 2x + 9 = 31, what is x? (a) 22 (b) 12 (c) 11 (d) 20
  24. 24.If 2x − 1 = 9, what is x? (a) 10 (b) 4 (c) 5 (d) 6
  25. 25.If 3x + 19 = x + 35, what is x? (a) 8 (b) 9 (c) 27 (d) 4
  26. 26.If 3x + 5 = x + 29, what is x? (a) 13 (b) 17 (c) 6 (d) 12
  27. 27.If 6x + 22 = 76, what is x? (a) 10 (b) 54 (c) 9 (d) 8
  28. 28.If 3x + 17 = 2x + 25, what is x? (a) 42 (b) 9 (c) 10 (d) 8
  29. 29.If x/5 + 4 = 9, what is x? (a) 65 (b) 5 (c) 25 (d) 41
  30. 30.If x/5 + 12 = 14, what is x? (a) 130 (b) 2 (c) 58 (d) 10
  31. 31.If x/5 + 7 = 10, what is x? (a) 3 (b) 43 (c) 85 (d) 15
  32. 32.If 7x − 45 = 39, what is x? (a) 84 (b) 13 (c) 11 (d) 12
  33. 33.If x/5 + 5 = 13, what is x? (a) 90 (b) 60 (c) 40 (d) 8
  34. 34.If 4x − 20 = 24, what is x? (a) 12 (b) 11 (c) 1 (d) 44
  35. 35.If 6x + 5 = 71, what is x? (a) 10 (b) 11 (c) 66 (d) 12
  36. 36.If 6x − 56 = 16, what is x? (a) 13 (b) 12 (c) 72 (d) 11
  37. 37.If 7x + 23 = 128, what is x? (a) 14 (b) 105 (c) 16 (d) 15
  38. 38.If 8x + 10 = 3x + 50, what is x? (a) 12 (b) 9 (c) 8 (d) 10
  39. 39.If x/5 + 8 = 18, what is x? (a) 10 (b) 82 (c) 50 (d) 130
  40. 40.If x/3 + 6 = 13, what is x? (a) 7 (b) 33 (c) 21 (d) 57

Answer key

  1. 7
  2. 4
  3. 3
  4. 6
  5. 12
  6. 11
  7. 6
  8. 9
  9. 5
  10. 2
  11. 24
  12. 10
  13. 6
  14. 8
  15. 6
  16. 10
  17. 7
  18. 5
  19. 13
  20. 15
  21. 20
  22. 7
  23. 11
  24. 5
  25. 8
  26. 12
  27. 9
  28. 8
  29. 25
  30. 10
  31. 15
  32. 12
  33. 40
  34. 11
  35. 11
  36. 12
  37. 15
  38. 8
  39. 50
  40. 21

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