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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 639 · 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 9x − 10 = 35, what is x? (a) 4 (b) 5 (c) 45 (d) 6
  2. 2.If 9x + 21 = 48, what is x? (a) 27 (b) 2 (c) 4 (d) 3
  3. 3.If 5x − 22 = 43, what is x? (a) 13 (b) 12 (c) 14 (d) 65
  4. 4.If 2x + 8 = 38, what is x? (a) 16 (b) 15 (c) 30 (d) 23
  5. 5.If 2x + 17 = 47, what is x? (a) 15 (b) 30 (c) 32 (d) 16
  6. 6.If x/5 + 8 = 18, what is x? (a) 82 (b) 10 (c) 50 (d) 130
  7. 7.If x/3 + 8 = 13, what is x? (a) 15 (b) 5 (c) 63 (d) 31
  8. 8.If 7x + 25 = 60, what is x? (a) 5 (b) 4 (c) 35 (d) 6
  9. 9.If 5x + 4 = 19, what is x? (a) 2 (b) 3 (c) 15 (d) 4
  10. 10.If 4x + 14 = 2x + 32, what is x? (a) 23 (b) 9 (c) 3 (d) 10
  11. 11.If 5x − 2 = 28, what is x? (a) 7 (b) 30 (c) 6 (d) 5
  12. 12.If 3x + 14 = 41, what is x? (a) 27 (b) 10 (c) 8 (d) 9
  13. 13.If 2x + 23 = 47, what is x? (a) 35 (b) 12 (c) 24 (d) 13
  14. 14.If 5x + 7 = x + 15, what is x? (a) 2 (b) 1 (c) 4 (d) 3
  15. 15.If 3x − 7 = 8, what is x? (a) 4 (b) 15 (c) 5 (d) 6
  16. 16.If 2x + 12 = 38, what is x? (a) 26 (b) 13 (c) 25 (d) 14
  17. 17.If 2x + 28 = 54, what is x? (a) 41 (b) 14 (c) 13 (d) 26
  18. 18.If 5x − 11 = 14, what is x? (a) 5 (b) 6 (c) 4 (d) 25
  19. 19.If x/3 + 2 = 4, what is x? (a) 10 (b) 2 (c) 6 (d) 18
  20. 20.If 3x + 8 = x + 22, what is x? (a) 9 (b) 8 (c) 7 (d) 15
  21. 21.If 7x − 25 = 52, what is x? (a) 10 (b) 12 (c) 77 (d) 11
  22. 22.If 6x + 5 = 4x + 11, what is x? (a) 4 (b) 5 (c) 8 (d) 3
  23. 23.If x/2 + 4 = 12, what is x? (a) 16 (b) 32 (c) 20 (d) 8
  24. 24.If 5x + 15 = 4x + 26, what is x? (a) 41 (b) 12 (c) 11 (d) 13
  25. 25.If 8x + 27 = 83, what is x? (a) 7 (b) 56 (c) 6 (d) 8
  26. 26.If 2x − 1 = 11, what is x? (a) 12 (b) 6 (c) 7 (d) 5
  27. 27.If 8x + 12 = 28, what is x? (a) 3 (b) 16 (c) 5 (d) 2
  28. 28.If 6x + 13 = 2x + 45, what is x? (a) 4 (b) 9 (c) 10 (d) 8
  29. 29.If 6x + 21 = 63, what is x? (a) 7 (b) 42 (c) 8 (d) 14
  30. 30.If 4x + 25 = 85, what is x? (a) 14 (b) 16 (c) 60 (d) 15
  31. 31.If x/6 + 2 = 11, what is x? (a) 64 (b) 78 (c) 54 (d) 9
  32. 32.If 2x − 3 = 3, what is x? (a) 6 (b) 3 (c) 2 (d) 4
  33. 33.If 7x + 6 = 3x + 26, what is x? (a) 5 (b) 2 (c) 6 (d) 8
  34. 34.If 3x + 6 = 42, what is x? (a) 36 (b) 16 (c) 13 (d) 12
  35. 35.If 4x + 10 = 66, what is x? (a) 15 (b) 19 (c) 56 (d) 14
  36. 36.If 2x − 1 = 23, what is x? (a) 12 (b) 13 (c) 24 (d) 11
  37. 37.If 8x + 11 = 5x + 17, what is x? (a) 4 (b) 1 (c) 2 (d) 3
  38. 38.If 5x + 16 = 3x + 38, what is x? (a) 27 (b) 11 (c) 12 (d) 13
  39. 39.If 6x + 15 = 33, what is x? (a) 3 (b) 4 (c) 8 (d) 18
  40. 40.If x/4 + 15 = 18, what is x? (a) 57 (b) 132 (c) 12 (d) 3

Answer key

  1. 5
  2. 3
  3. 13
  4. 15
  5. 15
  6. 50
  7. 15
  8. 5
  9. 3
  10. 9
  11. 6
  12. 9
  13. 12
  14. 2
  15. 5
  16. 13
  17. 13
  18. 5
  19. 6
  20. 7
  21. 11
  22. 3
  23. 16
  24. 11
  25. 7
  26. 6
  27. 2
  28. 8
  29. 7
  30. 15
  31. 54
  32. 3
  33. 5
  34. 12
  35. 14
  36. 12
  37. 2
  38. 11
  39. 3
  40. 12

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