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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 674 · 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 x/6 + 9 = 21, what is x? (a) 12 (b) 180 (c) 117 (d) 72
  2. 2.If 6x + 2 = 5x + 12, what is x? (a) 14 (b) 11 (c) 10 (d) 12
  3. 3.If x/3 + 1 = 8, what is x? (a) 27 (b) 7 (c) 23 (d) 21
  4. 4.If 8x − 55 = 49, what is x? (a) 12 (b) 104 (c) 13 (d) 14
  5. 5.If 3x + 11 = x + 35, what is x? (a) 23 (b) 13 (c) 12 (d) 6
  6. 6.If 7x − 78 = 6, what is x? (a) 84 (b) 11 (c) 12 (d) 13
  7. 7.If 9x + 19 = 118, what is x? (a) 11 (b) 10 (c) 99 (d) 12
  8. 8.If 5x + 7 = 3x + 13, what is x? (a) 3 (b) 4 (c) 5 (d) 10
  9. 9.If 3x + 23 = 53, what is x? (a) 9 (b) 11 (c) 30 (d) 10
  10. 10.If 9x + 10 = 28, what is x? (a) 3 (b) 18 (c) 2 (d) 1
  11. 11.If 2x − 6 = 6, what is x? (a) 5 (b) 7 (c) 12 (d) 6
  12. 12.If x/3 + 5 = 14, what is x? (a) 37 (b) 27 (c) 57 (d) 9
  13. 13.If 8x − 21 = 11, what is x? (a) 32 (b) 3 (c) 4 (d) 5
  14. 14.If 8x + 20 = 68, what is x? (a) 48 (b) 6 (c) 7 (d) 11
  15. 15.If 5x − 29 = 16, what is x? (a) 8 (b) 10 (c) 9 (d) 45
  16. 16.If 2x − 7 = 23, what is x? (a) 16 (b) 30 (c) 15 (d) 8
  17. 17.If 6x − 26 = 28, what is x? (a) 10 (b) 8 (c) 9 (d) 54
  18. 18.If 3x + 24 = 69, what is x? (a) 45 (b) 31 (c) 16 (d) 15
  19. 19.If 7x + 7 = 4x + 25, what is x? (a) 8 (b) 7 (c) 5 (d) 6
  20. 20.If 9x + 19 = 82, what is x? (a) 63 (b) 7 (c) 8 (d) 6
  21. 21.If 7x − 8 = 20, what is x? (a) 3 (b) 28 (c) 4 (d) 5
  22. 22.If 2x + 26 = 56, what is x? (a) 16 (b) 15 (c) 30 (d) 41
  23. 23.If 6x + 12 = 66, what is x? (a) 10 (b) 9 (c) 13 (d) 54
  24. 24.If 5x + 1 = 3x + 13, what is x? (a) 8 (b) 6 (c) 5 (d) 7
  25. 25.If 4x + 27 = 39, what is x? (a) 12 (b) 2 (c) 4 (d) 3
  26. 26.If x/5 + 10 = 14, what is x? (a) 4 (b) 20 (c) 60 (d) 120
  27. 27.If 8x + 12 = 3x + 32, what is x? (a) 4 (b) 6 (c) 3 (d) 5
  28. 28.If x/2 + 5 = 10, what is x? (a) 15 (b) 5 (c) 10 (d) 30
  29. 29.If 5x − 2 = 48, what is x? (a) 11 (b) 50 (c) 10 (d) 9
  30. 30.If 8x + 7 = 4x + 19, what is x? (a) 1 (b) 4 (c) 5 (d) 3
  31. 31.If 7x + 8 = 5x + 28, what is x? (a) 18 (b) 11 (c) 12 (d) 10
  32. 32.If 2x − 10 = 18, what is x? (a) 28 (b) 4 (c) 15 (d) 14
  33. 33.If 3x + 2 = 47, what is x? (a) 16 (b) 45 (c) 15 (d) 14
  34. 34.If 2x + 28 = 32, what is x? (a) 3 (b) 2 (c) 4 (d) 30
  35. 35.If 7x − 30 = 5, what is x? (a) 4 (b) 5 (c) 6 (d) 35
  36. 36.If 3x + 16 = 49, what is x? (a) 33 (b) 10 (c) 12 (d) 11
  37. 37.If 7x + 4 = x + 46, what is x? (a) 8 (b) 6 (c) 9 (d) 7
  38. 38.If 6x + 17 = 2x + 45, what is x? (a) 9 (b) 6 (c) 8 (d) 7
  39. 39.If 8x − 8 = 40, what is x? (a) 7 (b) 48 (c) 6 (d) 4
  40. 40.If 7x + 10 = 38, what is x? (a) 28 (b) 3 (c) 4 (d) 5

Answer key

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

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