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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 147 · 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 + 5 = x + 25, what is x? (a) 5 (b) 15 (c) 10 (d) 11
  2. 2.If 7x + 3 = 31, what is x? (a) 28 (b) 3 (c) 4 (d) 5
  3. 3.If 9x − 99 = 9, what is x? (a) 108 (b) 11 (c) 13 (d) 12
  4. 4.If 6x + 2 = 2x + 38, what is x? (a) 9 (b) 10 (c) 8 (d) 11
  5. 5.If 5x − 12 = 8, what is x? (a) 20 (b) 5 (c) 3 (d) 4
  6. 6.If 9x + 7 = 3x + 43, what is x? (a) 8 (b) 3 (c) 7 (d) 6
  7. 7.If 3x + 14 = 44, what is x? (a) 30 (b) 9 (c) 11 (d) 10
  8. 8.If 7x − 41 = 22, what is x? (a) 9 (b) 8 (c) 10 (d) 63
  9. 9.If 3x + 17 = 41, what is x? (a) 24 (b) 8 (c) 7 (d) 9
  10. 10.If 3x − 4 = 5, what is x? (a) 9 (b) 2 (c) 4 (d) 3
  11. 11.If 4x + 14 = 30, what is x? (a) 16 (b) 11 (c) 4 (d) 5
  12. 12.If x/5 + 1 = 12, what is x? (a) 65 (b) 59 (c) 11 (d) 55
  13. 13.If x/3 + 13 = 25, what is x? (a) 62 (b) 36 (c) 12 (d) 114
  14. 14.If 4x + 9 = 41, what is x? (a) 32 (b) 9 (c) 7 (d) 8
  15. 15.If 9x + 2 = 7x + 16, what is x? (a) 9 (b) 8 (c) 7 (d) 6
  16. 16.If x/5 + 7 = 10, what is x? (a) 85 (b) 3 (c) 15 (d) 43
  17. 17.If 2x − 8 = 18, what is x? (a) 13 (b) 14 (c) 26 (d) 5
  18. 18.If 2x + 1 = 13, what is x? (a) 7 (b) 5 (c) 6 (d) 12
  19. 19.If 3x + 13 = 49, what is x? (a) 12 (b) 13 (c) 36 (d) 11
  20. 20.If 9x + 13 = 121, what is x? (a) 108 (b) 11 (c) 12 (d) 13
  21. 21.If 9x + 2 = x + 90, what is x? (a) 10 (b) 13 (c) 12 (d) 11
  22. 22.If 7x − 73 = 11, what is x? (a) 84 (b) 13 (c) 11 (d) 12
  23. 23.If 4x − 16 = 16, what is x? (a) 32 (b) 8 (c) 9 (d) 7
  24. 24.If 3x − 14 = 4, what is x? (a) 5 (b) 7 (c) 18 (d) 6
  25. 25.If 7x − 32 = 3, what is x? (a) 6 (b) 5 (c) 35 (d) 4
  26. 26.If 6x + 2 = 2x + 46, what is x? (a) 12 (b) 13 (c) 10 (d) 11
  27. 27.If 8x + 1 = 4x + 33, what is x? (a) 10 (b) 8 (c) 7 (d) 9
  28. 28.If x/3 + 14 = 19, what is x? (a) 5 (b) 99 (c) 43 (d) 15
  29. 29.If 4x + 5 = 29, what is x? (a) 24 (b) 7 (c) 5 (d) 6
  30. 30.If x/2 + 10 = 19, what is x? (a) 9 (b) 58 (c) 18 (d) 28
  31. 31.If x/3 + 11 = 15, what is x? (a) 12 (b) 4 (c) 34 (d) 78
  32. 32.If 3x − 28 = 11, what is x? (a) 14 (b) 39 (c) 13 (d) 12
  33. 33.If x/3 + 13 = 17, what is x? (a) 90 (b) 12 (c) 4 (d) 38
  34. 34.If 7x − 2 = 47, what is x? (a) 49 (b) 8 (c) 6 (d) 7
  35. 35.If x/3 + 6 = 9, what is x? (a) 45 (b) 9 (c) 21 (d) 3
  36. 36.If 3x + 19 = 2x + 30, what is x? (a) 12 (b) 49 (c) 13 (d) 11
  37. 37.If 5x − 23 = 32, what is x? (a) 55 (b) 12 (c) 11 (d) 10
  38. 38.If 2x + 2 = 22, what is x? (a) 20 (b) 12 (c) 11 (d) 10
  39. 39.If x/4 + 3 = 9, what is x? (a) 33 (b) 6 (c) 24 (d) 48
  40. 40.If 8x − 113 = 7, what is x? (a) 16 (b) 14 (c) 15 (d) 120

Answer key

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

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