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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 99 · 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 + 7 = 19, what is x? (a) 48 (b) 12 (c) 69 (d) 104
  2. 2.If 3x + 20 = 41, what is x? (a) 21 (b) 7 (c) 6 (d) 8
  3. 3.If x/3 + 14 = 18, what is x? (a) 12 (b) 4 (c) 40 (d) 96
  4. 4.If 2x + 9 = 37, what is x? (a) 14 (b) 15 (c) 28 (d) 23
  5. 5.If 3x − 9 = 9, what is x? (a) 18 (b) 7 (c) 5 (d) 6
  6. 6.If 9x + 16 = 7x + 30, what is x? (a) 8 (b) 9 (c) 23 (d) 7
  7. 7.If 5x − 2 = 28, what is x? (a) 6 (b) 5 (c) 30 (d) 7
  8. 8.If 5x + 6 = x + 22, what is x? (a) 4 (b) 5 (c) 7 (d) 6
  9. 9.If 9x + 20 = 5x + 60, what is x? (a) 12 (b) 10 (c) 11 (d) 20
  10. 10.If x/3 + 3 = 9, what is x? (a) 18 (b) 36 (c) 24 (d) 6
  11. 11.If 7x + 22 = 113, what is x? (a) 13 (b) 91 (c) 12 (d) 14
  12. 12.If x/3 + 3 = 8, what is x? (a) 5 (b) 33 (c) 21 (d) 15
  13. 13.If 2x + 25 = 33, what is x? (a) 8 (b) 5 (c) 29 (d) 4
  14. 14.If x/5 + 4 = 15, what is x? (a) 71 (b) 55 (c) 95 (d) 11
  15. 15.If x/6 + 4 = 10, what is x? (a) 84 (b) 36 (c) 6 (d) 56
  16. 16.If 3x + 7 = 31, what is x? (a) 8 (b) 9 (c) 7 (d) 24
  17. 17.If 4x − 34 = 22, what is x? (a) 56 (b) 13 (c) 15 (d) 14
  18. 18.If 4x + 3 = x + 33, what is x? (a) 11 (b) 6 (c) 10 (d) 12
  19. 19.If 8x − 34 = 22, what is x? (a) 8 (b) 56 (c) 6 (d) 7
  20. 20.If 3x + 5 = 2x + 13, what is x? (a) 18 (b) 10 (c) 8 (d) 9
  21. 21.If 7x + 4 = 4x + 13, what is x? (a) 5 (b) 4 (c) 2 (d) 3
  22. 22.If 4x − 7 = 37, what is x? (a) 12 (b) 44 (c) 10 (d) 11
  23. 23.If 9x − 25 = 11, what is x? (a) 5 (b) 3 (c) 36 (d) 4
  24. 24.If x/5 + 10 = 14, what is x? (a) 60 (b) 4 (c) 20 (d) 120
  25. 25.If 4x − 1 = 19, what is x? (a) 5 (b) 20 (c) 6 (d) 4
  26. 26.If 7x + 19 = x + 49, what is x? (a) 6 (b) 5 (c) 7 (d) 4
  27. 27.If 4x + 30 = 90, what is x? (a) 16 (b) 30 (c) 60 (d) 15
  28. 28.If 7x + 19 = 124, what is x? (a) 14 (b) 15 (c) 16 (d) 105
  29. 29.If 3x + 19 = x + 39, what is x? (a) 5 (b) 29 (c) 11 (d) 10
  30. 30.If 7x − 44 = 19, what is x? (a) 8 (b) 10 (c) 9 (d) 63
  31. 31.If 9x + 17 = 4x + 52, what is x? (a) 9 (b) 6 (c) 8 (d) 7
  32. 32.If 5x − 2 = 8, what is x? (a) 10 (b) 3 (c) 2 (d) 1
  33. 33.If x/3 + 4 = 7, what is x? (a) 9 (b) 33 (c) 3 (d) 17
  34. 34.If 3x − 2 = 25, what is x? (a) 9 (b) 8 (c) 10 (d) 27
  35. 35.If 4x + 5 = x + 23, what is x? (a) 8 (b) 5 (c) 7 (d) 6
  36. 36.If 3x − 4 = 17, what is x? (a) 8 (b) 6 (c) 7 (d) 21
  37. 37.If 4x + 1 = 3x + 8, what is x? (a) 8 (b) 1 (c) 7 (d) 9
  38. 38.If 8x + 14 = 126, what is x? (a) 14 (b) 13 (c) 112 (d) 15
  39. 39.If x/2 + 10 = 13, what is x? (a) 3 (b) 6 (c) 46 (d) 16
  40. 40.If x/6 + 13 = 23, what is x? (a) 10 (b) 125 (c) 60 (d) 216

Answer key

  1. 48
  2. 7
  3. 12
  4. 14
  5. 6
  6. 7
  7. 6
  8. 4
  9. 10
  10. 18
  11. 13
  12. 15
  13. 4
  14. 55
  15. 36
  16. 8
  17. 14
  18. 10
  19. 7
  20. 8
  21. 3
  22. 11
  23. 4
  24. 20
  25. 5
  26. 5
  27. 15
  28. 15
  29. 10
  30. 9
  31. 7
  32. 2
  33. 9
  34. 9
  35. 6
  36. 7
  37. 7
  38. 14
  39. 6
  40. 60

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