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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 39 · 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 + 24 = 32, what is x? (a) 5 (b) 4 (c) 28 (d) 8
  2. 2.If 9x − 33 = 3, what is x? (a) 4 (b) 36 (c) 5 (d) 3
  3. 3.If 4x + 19 = 67, what is x? (a) 48 (b) 11 (c) 13 (d) 12
  4. 4.If 5x − 2 = 23, what is x? (a) 5 (b) 25 (c) 4 (d) 6
  5. 5.If 6x + 1 = 55, what is x? (a) 10 (b) 8 (c) 9 (d) 54
  6. 6.If x/4 + 4 = 15, what is x? (a) 44 (b) 76 (c) 11 (d) 56
  7. 7.If 5x + 15 = 2x + 42, what is x? (a) 10 (b) 11 (c) 19 (d) 9
  8. 8.If x/6 + 10 = 12, what is x? (a) 2 (b) 132 (c) 62 (d) 12
  9. 9.If x/3 + 3 = 7, what is x? (a) 30 (b) 12 (c) 18 (d) 4
  10. 10.If 4x + 5 = 37, what is x? (a) 7 (b) 9 (c) 32 (d) 8
  11. 11.If 5x − 21 = 14, what is x? (a) 6 (b) 7 (c) 35 (d) 8
  12. 12.If x/3 + 6 = 15, what is x? (a) 39 (b) 9 (c) 27 (d) 63
  13. 13.If x/2 + 1 = 6, what is x? (a) 14 (b) 11 (c) 5 (d) 10
  14. 14.If 5x − 43 = 7, what is x? (a) 50 (b) 9 (c) 11 (d) 10
  15. 15.If 6x − 37 = 35, what is x? (a) 11 (b) 72 (c) 13 (d) 12
  16. 16.If x/5 + 3 = 8, what is x? (a) 25 (b) 5 (c) 55 (d) 37
  17. 17.If x/3 + 2 = 4, what is x? (a) 2 (b) 10 (c) 6 (d) 18
  18. 18.If x/5 + 1 = 13, what is x? (a) 64 (b) 60 (c) 12 (d) 70
  19. 19.If 4x + 4 = 60, what is x? (a) 56 (b) 16 (c) 14 (d) 15
  20. 20.If 3x − 23 = 4, what is x? (a) 8 (b) 10 (c) 9 (d) 27
  21. 21.If 3x + 17 = 29, what is x? (a) 4 (b) 3 (c) 12 (d) 5
  22. 22.If 4x + 26 = 34, what is x? (a) 2 (b) 3 (c) 8 (d) 15
  23. 23.If 4x − 11 = 21, what is x? (a) 8 (b) 32 (c) 7 (d) 9
  24. 24.If 2x + 6 = 12, what is x? (a) 3 (b) 4 (c) 9 (d) 6
  25. 25.If x/5 + 3 = 10, what is x? (a) 65 (b) 7 (c) 47 (d) 35
  26. 26.If 5x − 4 = 11, what is x? (a) 2 (b) 15 (c) 4 (d) 3
  27. 27.If 7x − 50 = 27, what is x? (a) 12 (b) 11 (c) 10 (d) 77
  28. 28.If 5x − 3 = 7, what is x? (a) 3 (b) 1 (c) 10 (d) 2
  29. 29.If 2x + 8 = 20, what is x? (a) 14 (b) 7 (c) 12 (d) 6
  30. 30.If 5x + 1 = 71, what is x? (a) 15 (b) 13 (c) 70 (d) 14
  31. 31.If 5x − 30 = 25, what is x? (a) 12 (b) 10 (c) 55 (d) 11
  32. 32.If 9x + 19 = 5x + 67, what is x? (a) 14 (b) 11 (c) 13 (d) 12
  33. 33.If 3x + 28 = 37, what is x? (a) 9 (b) 3 (c) 4 (d) 2
  34. 34.If 7x + 17 = 115, what is x? (a) 15 (b) 98 (c) 14 (d) 13
  35. 35.If 7x + 3 = 31, what is x? (a) 3 (b) 5 (c) 4 (d) 28
  36. 36.If 3x − 27 = 6, what is x? (a) 11 (b) 10 (c) 33 (d) 12
  37. 37.If 4x + 7 = x + 28, what is x? (a) 7 (b) 9 (c) 8 (d) 6
  38. 38.If 6x + 15 = 2x + 47, what is x? (a) 9 (b) 8 (c) 4 (d) 10
  39. 39.If 3x − 7 = 23, what is x? (a) 10 (b) 11 (c) 30 (d) 9
  40. 40.If 2x − 3 = 1, what is x? (a) 3 (b) 4 (c) 2 (d) 1

Answer key

  1. 4
  2. 4
  3. 12
  4. 5
  5. 9
  6. 44
  7. 9
  8. 12
  9. 12
  10. 8
  11. 7
  12. 27
  13. 10
  14. 10
  15. 12
  16. 25
  17. 6
  18. 60
  19. 14
  20. 9
  21. 4
  22. 2
  23. 8
  24. 3
  25. 35
  26. 3
  27. 11
  28. 2
  29. 6
  30. 14
  31. 11
  32. 12
  33. 3
  34. 14
  35. 4
  36. 11
  37. 7
  38. 8
  39. 10
  40. 2

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