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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 750 · 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 2x − 1 = 19, what is x? (a) 10 (b) 11 (c) 20 (d) 9
  2. 2.If x/4 + 3 = 7, what is x? (a) 4 (b) 16 (c) 40 (d) 25
  3. 3.If 9x − 74 = 25, what is x? (a) 11 (b) 10 (c) 12 (d) 99
  4. 4.If 7x + 19 = x + 91, what is x? (a) 13 (b) 9 (c) 12 (d) 14
  5. 5.If x/5 + 14 = 25, what is x? (a) 55 (b) 195 (c) 11 (d) 111
  6. 6.If x/2 + 5 = 11, what is x? (a) 6 (b) 32 (c) 12 (d) 17
  7. 7.If x/6 + 2 = 6, what is x? (a) 34 (b) 48 (c) 4 (d) 24
  8. 8.If 8x + 5 = 45, what is x? (a) 40 (b) 6 (c) 4 (d) 5
  9. 9.If x/3 + 11 = 13, what is x? (a) 6 (b) 28 (c) 72 (d) 2
  10. 10.If 2x − 15 = 13, what is x? (a) 28 (b) 13 (c) 14 (d) 15
  11. 11.If 4x + 30 = 58, what is x? (a) 8 (b) 28 (c) 22 (d) 7
  12. 12.If 2x − 3 = 1, what is x? (a) 3 (b) 4 (c) 2 (d) 1
  13. 13.If 7x − 2 = 12, what is x? (a) 14 (b) 2 (c) 1 (d) 3
  14. 14.If x/3 + 10 = 18, what is x? (a) 24 (b) 84 (c) 8 (d) 44
  15. 15.If 3x + 29 = 47, what is x? (a) 6 (b) 7 (c) 5 (d) 18
  16. 16.If 5x − 11 = 49, what is x? (a) 60 (b) 13 (c) 11 (d) 12
  17. 17.If 2x − 2 = 4, what is x? (a) 6 (b) 1 (c) 3 (d) 4
  18. 18.If 9x + 2 = 47, what is x? (a) 4 (b) 45 (c) 5 (d) 6
  19. 19.If 8x + 8 = 80, what is x? (a) 10 (b) 11 (c) 9 (d) 72
  20. 20.If 5x + 20 = x + 44, what is x? (a) 4 (b) 16 (c) 7 (d) 6
  21. 21.If x/3 + 5 = 16, what is x? (a) 11 (b) 43 (c) 33 (d) 63
  22. 22.If 3x + 5 = 35, what is x? (a) 30 (b) 9 (c) 10 (d) 11
  23. 23.If x/6 + 4 = 13, what is x? (a) 74 (b) 102 (c) 9 (d) 54
  24. 24.If 5x − 12 = 38, what is x? (a) 50 (b) 11 (c) 10 (d) 9
  25. 25.If 5x − 3 = 7, what is x? (a) 1 (b) 2 (c) 3 (d) 10
  26. 26.If 4x − 8 = 12, what is x? (a) 1 (b) 6 (c) 20 (d) 5
  27. 27.If 4x − 3 = 5, what is x? (a) 2 (b) 1 (c) 3 (d) 8
  28. 28.If x/4 + 3 = 5, what is x? (a) 17 (b) 2 (c) 8 (d) 32
  29. 29.If 3x + 9 = 42, what is x? (a) 11 (b) 33 (c) 17 (d) 12
  30. 30.If x/5 + 3 = 7, what is x? (a) 50 (b) 32 (c) 20 (d) 4
  31. 31.If x/6 + 9 = 20, what is x? (a) 111 (b) 11 (c) 66 (d) 174
  32. 32.If 6x + 14 = 4x + 36, what is x? (a) 13 (b) 25 (c) 11 (d) 12
  33. 33.If 6x − 5 = 43, what is x? (a) 8 (b) 7 (c) 48 (d) 9
  34. 34.If x/6 + 1 = 4, what is x? (a) 18 (b) 30 (c) 23 (d) 3
  35. 35.If 8x − 91 = 21, what is x? (a) 13 (b) 112 (c) 15 (d) 14
  36. 36.If 6x + 13 = 97, what is x? (a) 15 (b) 84 (c) 13 (d) 14
  37. 37.If 3x − 3 = 36, what is x? (a) 11 (b) 13 (c) 14 (d) 39
  38. 38.If 8x + 9 = 5x + 24, what is x? (a) 11 (b) 6 (c) 7 (d) 5
  39. 39.If x/3 + 10 = 22, what is x? (a) 56 (b) 36 (c) 96 (d) 12
  40. 40.If x/6 + 2 = 11, what is x? (a) 9 (b) 64 (c) 78 (d) 54

Answer key

  1. 10
  2. 16
  3. 11
  4. 12
  5. 55
  6. 12
  7. 24
  8. 5
  9. 6
  10. 14
  11. 7
  12. 2
  13. 2
  14. 24
  15. 6
  16. 12
  17. 3
  18. 5
  19. 9
  20. 6
  21. 33
  22. 10
  23. 54
  24. 10
  25. 2
  26. 5
  27. 2
  28. 8
  29. 11
  30. 20
  31. 66
  32. 11
  33. 8
  34. 18
  35. 14
  36. 14
  37. 13
  38. 5
  39. 36
  40. 54

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