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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 547 · 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 8x + 3 = 43, what is x? (a) 6 (b) 5 (c) 40 (d) 4
  2. 2.If 5x − 8 = 2, what is x? (a) 1 (b) 2 (c) 3 (d) 10
  3. 3.If 9x − 22 = 14, what is x? (a) 36 (b) 5 (c) 4 (d) 3
  4. 4.If 8x + 20 = 7x + 21, what is x? (a) 41 (b) 3 (c) 2 (d) 1
  5. 5.If 4x − 9 = 27, what is x? (a) 9 (b) 36 (c) 8 (d) 10
  6. 6.If 3x + 19 = 2x + 22, what is x? (a) 5 (b) 4 (c) 3 (d) 41
  7. 7.If 4x − 1 = 11, what is x? (a) 12 (b) 3 (c) 4 (d) 2
  8. 8.If x/6 + 13 = 15, what is x? (a) 168 (b) 77 (c) 2 (d) 12
  9. 9.If x/3 + 2 = 13, what is x? (a) 45 (b) 11 (c) 33 (d) 37
  10. 10.If x/6 + 15 = 27, what is x? (a) 252 (b) 12 (c) 147 (d) 72
  11. 11.If 4x + 20 = x + 38, what is x? (a) 5 (b) 8 (c) 6 (d) 7
  12. 12.If 3x + 11 = x + 19, what is x? (a) 15 (b) 4 (c) 2 (d) 5
  13. 13.If 3x + 1 = 2x + 10, what is x? (a) 9 (b) 11 (c) 8 (d) 10
  14. 14.If x/3 + 13 = 16, what is x? (a) 87 (b) 35 (c) 3 (d) 9
  15. 15.If 7x + 8 = 71, what is x? (a) 10 (b) 63 (c) 9 (d) 8
  16. 16.If 5x + 19 = x + 23, what is x? (a) 2 (b) 4 (c) 1 (d) 3
  17. 17.If 8x + 22 = 38, what is x? (a) 2 (b) 16 (c) 3 (d) 1
  18. 18.If 5x + 28 = 53, what is x? (a) 6 (b) 25 (c) 4 (d) 5
  19. 19.If 4x + 27 = 35, what is x? (a) 2 (b) 1 (c) 8 (d) 3
  20. 20.If 2x + 3 = 13, what is x? (a) 8 (b) 6 (c) 10 (d) 5
  21. 21.If 2x − 5 = 15, what is x? (a) 11 (b) 20 (c) 5 (d) 10
  22. 22.If 6x + 6 = x + 56, what is x? (a) 12 (b) 11 (c) 9 (d) 10
  23. 23.If x/6 + 8 = 11, what is x? (a) 114 (b) 58 (c) 3 (d) 18
  24. 24.If x/2 + 10 = 13, what is x? (a) 16 (b) 6 (c) 3 (d) 46
  25. 25.If 2x − 20 = 2, what is x? (a) 12 (b) 22 (c) 10 (d) 11
  26. 26.If 3x + 25 = 40, what is x? (a) 5 (b) 6 (c) 4 (d) 15
  27. 27.If 6x + 28 = 100, what is x? (a) 11 (b) 12 (c) 13 (d) 72
  28. 28.If 8x − 27 = 37, what is x? (a) 7 (b) 64 (c) 9 (d) 8
  29. 29.If x/3 + 5 = 9, what is x? (a) 12 (b) 22 (c) 4 (d) 42
  30. 30.If 5x − 7 = 63, what is x? (a) 14 (b) 70 (c) 15 (d) 13
  31. 31.If 5x − 12 = 3, what is x? (a) 3 (b) 15 (c) 4 (d) 2
  32. 32.If 4x + 11 = 47, what is x? (a) 8 (b) 9 (c) 10 (d) 36
  33. 33.If 7x + 23 = 100, what is x? (a) 11 (b) 10 (c) 12 (d) 77
  34. 34.If 4x − 4 = 32, what is x? (a) 36 (b) 7 (c) 10 (d) 9
  35. 35.If 9x + 23 = 41, what is x? (a) 18 (b) 3 (c) 2 (d) 1
  36. 36.If 8x − 45 = 3, what is x? (a) 48 (b) 7 (c) 5 (d) 6
  37. 37.If 9x − 36 = 18, what is x? (a) 54 (b) 6 (c) 7 (d) 5
  38. 38.If 5x + 17 = 4x + 23, what is x? (a) 8 (b) 7 (c) 6 (d) 40
  39. 39.If x/3 + 10 = 14, what is x? (a) 72 (b) 12 (c) 4 (d) 32
  40. 40.If 3x + 10 = 2x + 21, what is x? (a) 31 (b) 11 (c) 13 (d) 12

Answer key

  1. 5
  2. 2
  3. 4
  4. 1
  5. 9
  6. 3
  7. 3
  8. 12
  9. 33
  10. 72
  11. 6
  12. 4
  13. 9
  14. 9
  15. 9
  16. 1
  17. 2
  18. 5
  19. 2
  20. 5
  21. 10
  22. 10
  23. 18
  24. 6
  25. 11
  26. 5
  27. 12
  28. 8
  29. 12
  30. 14
  31. 3
  32. 9
  33. 11
  34. 9
  35. 2
  36. 6
  37. 6
  38. 6
  39. 12
  40. 11

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