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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 212 · 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 + 29 = 93, what is x? (a) 7 (b) 64 (c) 8 (d) 9
  2. 2.If 8x − 32 = 8, what is x? (a) 40 (b) 5 (c) 4 (d) 6
  3. 3.If 8x + 23 = 47, what is x? (a) 3 (b) 2 (c) 4 (d) 24
  4. 4.If 4x − 26 = 6, what is x? (a) 9 (b) 7 (c) 32 (d) 8
  5. 5.If 7x + 11 = 6x + 17, what is x? (a) 8 (b) 28 (c) 6 (d) 7
  6. 6.If 8x − 22 = 42, what is x? (a) 7 (b) 8 (c) 9 (d) 64
  7. 7.If x/4 + 5 = 10, what is x? (a) 5 (b) 35 (c) 60 (d) 20
  8. 8.If x/4 + 4 = 13, what is x? (a) 9 (b) 48 (c) 36 (d) 68
  9. 9.If 2x + 27 = 45, what is x? (a) 10 (b) 9 (c) 18 (d) 36
  10. 10.If x/5 + 8 = 12, what is x? (a) 52 (b) 4 (c) 20 (d) 100
  11. 11.If 6x + 29 = 47, what is x? (a) 3 (b) 2 (c) 18 (d) 4
  12. 12.If x/4 + 5 = 8, what is x? (a) 52 (b) 3 (c) 27 (d) 12
  13. 13.If 4x + 30 = 90, what is x? (a) 16 (b) 30 (c) 60 (d) 15
  14. 14.If 3x + 13 = 46, what is x? (a) 10 (b) 12 (c) 11 (d) 33
  15. 15.If x/2 + 10 = 22, what is x? (a) 34 (b) 24 (c) 12 (d) 64
  16. 16.If x/3 + 2 = 9, what is x? (a) 7 (b) 25 (c) 21 (d) 33
  17. 17.If 6x − 41 = 49, what is x? (a) 16 (b) 15 (c) 14 (d) 90
  18. 18.If 7x + 21 = 119, what is x? (a) 20 (b) 98 (c) 15 (d) 14
  19. 19.If 6x + 29 = 107, what is x? (a) 14 (b) 13 (c) 78 (d) 12
  20. 20.If 6x + 20 = 50, what is x? (a) 5 (b) 6 (c) 30 (d) 4
  21. 21.If x/5 + 1 = 12, what is x? (a) 59 (b) 11 (c) 55 (d) 65
  22. 22.If x/6 + 5 = 15, what is x? (a) 85 (b) 120 (c) 60 (d) 10
  23. 23.If 4x + 13 = x + 19, what is x? (a) 2 (b) 3 (c) 1 (d) 4
  24. 24.If 3x + 8 = x + 26, what is x? (a) 17 (b) 9 (c) 11 (d) 10
  25. 25.If 8x + 3 = 4x + 43, what is x? (a) 12 (b) 9 (c) 11 (d) 10
  26. 26.If 4x − 4 = 4, what is x? (a) 1 (b) 8 (c) 3 (d) 2
  27. 27.If 4x + 20 = 76, what is x? (a) 15 (b) 56 (c) 14 (d) 24
  28. 28.If 8x − 62 = 50, what is x? (a) 14 (b) 13 (c) 112 (d) 15
  29. 29.If 3x + 21 = 57, what is x? (a) 26 (b) 13 (c) 12 (d) 36
  30. 30.If 9x + 11 = 92, what is x? (a) 81 (b) 10 (c) 9 (d) 8
  31. 31.If 9x − 14 = 40, what is x? (a) 54 (b) 7 (c) 6 (d) 5
  32. 32.If 9x + 16 = 34, what is x? (a) 1 (b) 18 (c) 3 (d) 2
  33. 33.If x/4 + 6 = 9, what is x? (a) 60 (b) 3 (c) 12 (d) 30
  34. 34.If 9x + 15 = 7x + 25, what is x? (a) 7 (b) 6 (c) 20 (d) 5
  35. 35.If 9x + 10 = 6x + 28, what is x? (a) 7 (b) 6 (c) 5 (d) 8
  36. 36.If 5x − 5 = 25, what is x? (a) 6 (b) 4 (c) 7 (d) 30
  37. 37.If 6x − 13 = 5, what is x? (a) 18 (b) 3 (c) 4 (d) 2
  38. 38.If 2x + 2 = 8, what is x? (a) 3 (b) 6 (c) 5 (d) 4
  39. 39.If 7x + 18 = 6x + 23, what is x? (a) 6 (b) 7 (c) 5 (d) 41
  40. 40.If 7x − 80 = 11, what is x? (a) 13 (b) 14 (c) 91 (d) 12

Answer key

  1. 8
  2. 5
  3. 3
  4. 8
  5. 6
  6. 8
  7. 20
  8. 36
  9. 9
  10. 20
  11. 3
  12. 12
  13. 15
  14. 11
  15. 24
  16. 21
  17. 15
  18. 14
  19. 13
  20. 5
  21. 55
  22. 60
  23. 2
  24. 9
  25. 10
  26. 2
  27. 14
  28. 14
  29. 12
  30. 9
  31. 6
  32. 2
  33. 12
  34. 5
  35. 6
  36. 6
  37. 3
  38. 3
  39. 5
  40. 13

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