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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 13 · 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/4 + 5 = 9, what is x? (a) 4 (b) 16 (c) 31 (d) 56
  2. 2.If x/2 + 5 = 11, what is x? (a) 32 (b) 12 (c) 17 (d) 6
  3. 3.If 3x − 2 = 4, what is x? (a) 2 (b) 1 (c) 6 (d) 3
  4. 4.If x/4 + 13 = 23, what is x? (a) 144 (b) 10 (c) 79 (d) 40
  5. 5.If 5x + 6 = 2x + 33, what is x? (a) 9 (b) 11 (c) 13 (d) 10
  6. 6.If 4x − 24 = 32, what is x? (a) 15 (b) 56 (c) 14 (d) 2
  7. 7.If 6x − 21 = 39, what is x? (a) 10 (b) 11 (c) 60 (d) 3
  8. 8.If 3x + 11 = 2x + 18, what is x? (a) 9 (b) 29 (c) 8 (d) 7
  9. 9.If 7x + 10 = 87, what is x? (a) 77 (b) 10 (c) 11 (d) 12
  10. 10.If x/5 + 1 = 5, what is x? (a) 30 (b) 4 (c) 24 (d) 20
  11. 11.If 7x − 19 = 37, what is x? (a) 8 (b) 56 (c) 9 (d) 7
  12. 12.If x/3 + 4 = 12, what is x? (a) 24 (b) 48 (c) 8 (d) 32
  13. 13.If 3x + 2 = 14, what is x? (a) 3 (b) 5 (c) 12 (d) 4
  14. 14.If 7x − 69 = 8, what is x? (a) 10 (b) 11 (c) 77 (d) 12
  15. 15.If 6x + 4 = 58, what is x? (a) 10 (b) 9 (c) 8 (d) 54
  16. 16.If 8x − 30 = 42, what is x? (a) 9 (b) 8 (c) 72 (d) 10
  17. 17.If 9x + 17 = 5x + 37, what is x? (a) 6 (b) 7 (c) 5 (d) 4
  18. 18.If x/6 + 7 = 17, what is x? (a) 10 (b) 144 (c) 60 (d) 95
  19. 19.If 9x + 5 = x + 61, what is x? (a) 8 (b) 9 (c) 6 (d) 7
  20. 20.If x/4 + 8 = 18, what is x? (a) 10 (b) 40 (c) 104 (d) 64
  21. 21.If 4x + 14 = 58, what is x? (a) 44 (b) 11 (c) 12 (d) 18
  22. 22.If 9x − 8 = 73, what is x? (a) 81 (b) 10 (c) 9 (d) 8
  23. 23.If 2x + 22 = 38, what is x? (a) 9 (b) 16 (c) 8 (d) 30
  24. 24.If x/2 + 8 = 20, what is x? (a) 12 (b) 24 (c) 56 (d) 32
  25. 25.If 7x + 24 = 87, what is x? (a) 9 (b) 10 (c) 63 (d) 8
  26. 26.If x/6 + 11 = 17, what is x? (a) 168 (b) 91 (c) 6 (d) 36
  27. 27.If 8x + 6 = 5x + 30, what is x? (a) 12 (b) 10 (c) 9 (d) 8
  28. 28.If x/5 + 7 = 17, what is x? (a) 120 (b) 50 (c) 10 (d) 78
  29. 29.If 4x + 29 = 65, what is x? (a) 8 (b) 36 (c) 10 (d) 9
  30. 30.If x/5 + 5 = 15, what is x? (a) 100 (b) 10 (c) 50 (d) 70
  31. 31.If 4x + 10 = 54, what is x? (a) 12 (b) 11 (c) 44 (d) 16
  32. 32.If 3x + 17 = 2x + 21, what is x? (a) 4 (b) 6 (c) 38 (d) 5
  33. 33.If 3x − 11 = 7, what is x? (a) 7 (b) 6 (c) 18 (d) 5
  34. 34.If 8x + 17 = 6x + 19, what is x? (a) 3 (b) 1 (c) 18 (d) 2
  35. 35.If 4x + 26 = 78, what is x? (a) 52 (b) 13 (c) 26 (d) 14
  36. 36.If 9x + 19 = 2x + 61, what is x? (a) 7 (b) 8 (c) 6 (d) 5
  37. 37.If x/2 + 5 = 10, what is x? (a) 5 (b) 10 (c) 30 (d) 15
  38. 38.If 4x − 5 = 15, what is x? (a) 20 (b) 6 (c) 4 (d) 5
  39. 39.If 9x + 28 = 136, what is x? (a) 108 (b) 12 (c) 13 (d) 11
  40. 40.If 8x + 6 = x + 69, what is x? (a) 9 (b) 7 (c) 11 (d) 10

Answer key

  1. 16
  2. 12
  3. 2
  4. 40
  5. 9
  6. 14
  7. 10
  8. 7
  9. 11
  10. 20
  11. 8
  12. 24
  13. 4
  14. 11
  15. 9
  16. 9
  17. 5
  18. 60
  19. 7
  20. 40
  21. 11
  22. 9
  23. 8
  24. 24
  25. 9
  26. 36
  27. 8
  28. 50
  29. 9
  30. 50
  31. 11
  32. 4
  33. 6
  34. 1
  35. 13
  36. 6
  37. 10
  38. 5
  39. 12
  40. 9

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