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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 323 · 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 3x − 7 = 14, what is x? (a) 21 (b) 8 (c) 7 (d) 6
  2. 2.If x/2 + 14 = 26, what is x? (a) 38 (b) 24 (c) 12 (d) 80
  3. 3.If 2x + 15 = 21, what is x? (a) 3 (b) 4 (c) 6 (d) 18
  4. 4.If 8x + 18 = 90, what is x? (a) 9 (b) 10 (c) 8 (d) 72
  5. 5.If 5x + 11 = 61, what is x? (a) 10 (b) 9 (c) 50 (d) 11
  6. 6.If 2x + 18 = 24, what is x? (a) 4 (b) 3 (c) 21 (d) 6
  7. 7.If x/2 + 9 = 12, what is x? (a) 42 (b) 15 (c) 3 (d) 6
  8. 8.If 7x + 20 = 2x + 75, what is x? (a) 11 (b) 19 (c) 12 (d) 13
  9. 9.If 7x + 24 = 45, what is x? (a) 21 (b) 4 (c) 3 (d) 2
  10. 10.If x/3 + 6 = 14, what is x? (a) 8 (b) 60 (c) 24 (d) 36
  11. 11.If 3x + 22 = 61, what is x? (a) 12 (b) 39 (c) 13 (d) 14
  12. 12.If 3x + 11 = 2x + 23, what is x? (a) 12 (b) 34 (c) 14 (d) 13
  13. 13.If 5x + 9 = 44, what is x? (a) 6 (b) 7 (c) 8 (d) 35
  14. 14.If 9x + 26 = 125, what is x? (a) 99 (b) 12 (c) 10 (d) 11
  15. 15.If 7x + 22 = 50, what is x? (a) 4 (b) 3 (c) 5 (d) 28
  16. 16.If 2x − 3 = 3, what is x? (a) 3 (b) 4 (c) 6 (d) 2
  17. 17.If 6x − 10 = 68, what is x? (a) 13 (b) 78 (c) 14 (d) 12
  18. 18.If 3x + 26 = 32, what is x? (a) 3 (b) 2 (c) 6 (d) 1
  19. 19.If 9x + 19 = 91, what is x? (a) 8 (b) 72 (c) 9 (d) 7
  20. 20.If 4x + 8 = 52, what is x? (a) 15 (b) 44 (c) 12 (d) 11
  21. 21.If x/6 + 1 = 7, what is x? (a) 41 (b) 48 (c) 36 (d) 6
  22. 22.If 7x + 20 = 118, what is x? (a) 13 (b) 98 (c) 14 (d) 15
  23. 23.If x/4 + 1 = 6, what is x? (a) 20 (b) 28 (c) 5 (d) 23
  24. 24.If x/6 + 10 = 21, what is x? (a) 186 (b) 66 (c) 11 (d) 116
  25. 25.If 4x + 15 = x + 36, what is x? (a) 17 (b) 9 (c) 8 (d) 7
  26. 26.If x/4 + 11 = 16, what is x? (a) 20 (b) 108 (c) 5 (d) 53
  27. 27.If 5x + 9 = 3x + 29, what is x? (a) 19 (b) 12 (c) 11 (d) 10
  28. 28.If x/3 + 15 = 18, what is x? (a) 99 (b) 39 (c) 9 (d) 3
  29. 29.If 4x + 16 = 24, what is x? (a) 3 (b) 10 (c) 8 (d) 2
  30. 30.If 3x + 9 = x + 17, what is x? (a) 5 (b) 4 (c) 2 (d) 13
  31. 31.If 5x − 21 = 39, what is x? (a) 13 (b) 60 (c) 12 (d) 11
  32. 32.If x/4 + 1 = 10, what is x? (a) 44 (b) 36 (c) 39 (d) 9
  33. 33.If 4x − 3 = 17, what is x? (a) 20 (b) 4 (c) 5 (d) 6
  34. 34.If 8x + 1 = 4x + 29, what is x? (a) 9 (b) 6 (c) 7 (d) 8
  35. 35.If 2x − 13 = 9, what is x? (a) 11 (b) 10 (c) 12 (d) 22
  36. 36.If 6x + 6 = 30, what is x? (a) 24 (b) 5 (c) 6 (d) 4
  37. 37.If 9x + 9 = 2x + 86, what is x? (a) 7 (b) 12 (c) 11 (d) 13
  38. 38.If 5x + 23 = 73, what is x? (a) 9 (b) 10 (c) 50 (d) 11
  39. 39.If 3x + 2 = 2x + 3, what is x? (a) 2 (b) 1 (c) 5 (d) 3
  40. 40.If x/4 + 1 = 4, what is x? (a) 3 (b) 12 (c) 15 (d) 20

Answer key

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

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