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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 374 · 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 5x + 20 = 45, what is x? (a) 6 (b) 13 (c) 5 (d) 25
  2. 2.If x/3 + 10 = 17, what is x? (a) 7 (b) 21 (c) 81 (d) 41
  3. 3.If 7x − 1 = 20, what is x? (a) 3 (b) 21 (c) 2 (d) 4
  4. 4.If 4x − 11 = 29, what is x? (a) 11 (b) 40 (c) 10 (d) 9
  5. 5.If 8x + 15 = 5x + 21, what is x? (a) 4 (b) 3 (c) 2 (d) 12
  6. 6.If 2x − 6 = 2, what is x? (a) 8 (b) 5 (c) 3 (d) 4
  7. 7.If 3x + 1 = 28, what is x? (a) 10 (b) 9 (c) 8 (d) 27
  8. 8.If 7x + 27 = 90, what is x? (a) 8 (b) 9 (c) 10 (d) 63
  9. 9.If 3x + 11 = x + 17, what is x? (a) 5 (b) 3 (c) 4 (d) 14
  10. 10.If 2x + 28 = 40, what is x? (a) 7 (b) 6 (c) 34 (d) 12
  11. 11.If 8x − 1 = 103, what is x? (a) 13 (b) 12 (c) 104 (d) 14
  12. 12.If 5x − 19 = 51, what is x? (a) 15 (b) 14 (c) 13 (d) 70
  13. 13.If 3x + 25 = 55, what is x? (a) 9 (b) 30 (c) 10 (d) 11
  14. 14.If x/6 + 5 = 10, what is x? (a) 30 (b) 55 (c) 90 (d) 5
  15. 15.If 6x + 21 = 99, what is x? (a) 13 (b) 78 (c) 20 (d) 14
  16. 16.If 8x − 48 = 32, what is x? (a) 11 (b) 10 (c) 9 (d) 80
  17. 17.If 4x + 20 = 2x + 44, what is x? (a) 4 (b) 12 (c) 32 (d) 13
  18. 18.If 2x + 16 = 26, what is x? (a) 6 (b) 21 (c) 5 (d) 10
  19. 19.If 9x − 26 = 19, what is x? (a) 5 (b) 45 (c) 6 (d) 4
  20. 20.If 2x + 9 = 13, what is x? (a) 11 (b) 4 (c) 3 (d) 2
  21. 21.If 5x + 3 = 48, what is x? (a) 10 (b) 9 (c) 8 (d) 45
  22. 22.If x/4 + 15 = 26, what is x? (a) 11 (b) 89 (c) 44 (d) 164
  23. 23.If 6x + 15 = x + 45, what is x? (a) 12 (b) 6 (c) 7 (d) 8
  24. 24.If 3x − 7 = 29, what is x? (a) 11 (b) 12 (c) 36 (d) 13
  25. 25.If 3x − 11 = 16, what is x? (a) 10 (b) 8 (c) 9 (d) 27
  26. 26.If 5x + 16 = x + 56, what is x? (a) 11 (b) 10 (c) 12 (d) 18
  27. 27.If 8x + 1 = 97, what is x? (a) 96 (b) 13 (c) 11 (d) 12
  28. 28.If 3x + 2 = 2x + 10, what is x? (a) 10 (b) 9 (c) 8 (d) 12
  29. 29.If 5x − 49 = 11, what is x? (a) 60 (b) 11 (c) 12 (d) 13
  30. 30.If x/3 + 11 = 13, what is x? (a) 2 (b) 28 (c) 72 (d) 6
  31. 31.If 2x − 3 = 7, what is x? (a) 5 (b) 6 (c) 2 (d) 10
  32. 32.If 7x + 3 = 3x + 43, what is x? (a) 12 (b) 10 (c) 4 (d) 11
  33. 33.If x/2 + 7 = 11, what is x? (a) 36 (b) 8 (c) 15 (d) 4
  34. 34.If 3x − 17 = 19, what is x? (a) 11 (b) 36 (c) 13 (d) 12
  35. 35.If 7x + 10 = 5x + 26, what is x? (a) 8 (b) 18 (c) 9 (d) 10
  36. 36.If 9x + 10 = 3x + 34, what is x? (a) 2 (b) 4 (c) 6 (d) 5
  37. 37.If 2x + 12 = 30, what is x? (a) 10 (b) 18 (c) 9 (d) 21
  38. 38.If x/2 + 3 = 6, what is x? (a) 3 (b) 18 (c) 9 (d) 6
  39. 39.If 8x + 30 = 150, what is x? (a) 16 (b) 15 (c) 14 (d) 120
  40. 40.If 9x + 2 = 38, what is x? (a) 5 (b) 36 (c) 3 (d) 4

Answer key

  1. 5
  2. 21
  3. 3
  4. 10
  5. 2
  6. 4
  7. 9
  8. 9
  9. 3
  10. 6
  11. 13
  12. 14
  13. 10
  14. 30
  15. 13
  16. 10
  17. 12
  18. 5
  19. 5
  20. 2
  21. 9
  22. 44
  23. 6
  24. 12
  25. 9
  26. 10
  27. 12
  28. 8
  29. 12
  30. 6
  31. 5
  32. 10
  33. 8
  34. 12
  35. 8
  36. 4
  37. 9
  38. 6
  39. 15
  40. 4

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