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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 881 · 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 + 19 = 43, what is x? (a) 4 (b) 2 (c) 24 (d) 3
  2. 2.If 3x + 1 = x + 15, what is x? (a) 9 (b) 8 (c) 6 (d) 7
  3. 3.If 7x + 4 = 2x + 39, what is x? (a) 6 (b) 7 (c) 8 (d) 9
  4. 4.If 3x + 3 = 2x + 6, what is x? (a) 4 (b) 5 (c) 9 (d) 3
  5. 5.If 4x + 7 = x + 31, what is x? (a) 10 (b) 7 (c) 9 (d) 8
  6. 6.If 9x − 48 = 87, what is x? (a) 135 (b) 16 (c) 15 (d) 14
  7. 7.If 5x − 42 = 23, what is x? (a) 12 (b) 13 (c) 14 (d) 65
  8. 8.If 2x + 14 = 18, what is x? (a) 3 (b) 2 (c) 4 (d) 16
  9. 9.If 2x − 2 = 6, what is x? (a) 5 (b) 2 (c) 8 (d) 4
  10. 10.If 4x + 3 = x + 36, what is x? (a) 11 (b) 13 (c) 12 (d) 10
  11. 11.If 9x + 10 = 4x + 65, what is x? (a) 15 (b) 12 (c) 13 (d) 11
  12. 12.If 5x − 17 = 8, what is x? (a) 5 (b) 25 (c) 6 (d) 4
  13. 13.If 3x + 2 = 14, what is x? (a) 12 (b) 5 (c) 4 (d) 3
  14. 14.If 9x + 9 = 2x + 58, what is x? (a) 8 (b) 9 (c) 7 (d) 6
  15. 15.If x/6 + 6 = 12, what is x? (a) 108 (b) 36 (c) 6 (d) 66
  16. 16.If 2x + 11 = 41, what is x? (a) 26 (b) 16 (c) 30 (d) 15
  17. 17.If 3x + 15 = x + 31, what is x? (a) 9 (b) 4 (c) 23 (d) 8
  18. 18.If x/2 + 13 = 20, what is x? (a) 66 (b) 7 (c) 27 (d) 14
  19. 19.If 7x + 21 = 105, what is x? (a) 18 (b) 13 (c) 12 (d) 84
  20. 20.If 9x − 34 = 2, what is x? (a) 5 (b) 3 (c) 36 (d) 4
  21. 21.If 4x + 3 = 2x + 9, what is x? (a) 6 (b) 1 (c) 3 (d) 4
  22. 22.If 6x + 17 = 5x + 28, what is x? (a) 11 (b) 12 (c) 1 (d) 45
  23. 23.If 9x + 19 = 8x + 25, what is x? (a) 44 (b) 7 (c) 8 (d) 6
  24. 24.If 5x + 27 = 87, what is x? (a) 12 (b) 60 (c) 11 (d) 13
  25. 25.If 8x − 28 = 92, what is x? (a) 16 (b) 15 (c) 8 (d) 120
  26. 26.If 3x − 11 = 16, what is x? (a) 10 (b) 27 (c) 8 (d) 9
  27. 27.If 4x + 1 = 21, what is x? (a) 4 (b) 6 (c) 20 (d) 5
  28. 28.If 5x + 12 = 2x + 18, what is x? (a) 10 (b) 2 (c) 4 (d) 3
  29. 29.If 4x + 29 = 89, what is x? (a) 60 (b) 16 (c) 14 (d) 15
  30. 30.If 6x + 8 = 38, what is x? (a) 5 (b) 6 (c) 4 (d) 30
  31. 31.If 9x + 9 = 7x + 17, what is x? (a) 13 (b) 6 (c) 5 (d) 4
  32. 32.If x/2 + 15 = 17, what is x? (a) 19 (b) 64 (c) 2 (d) 4
  33. 33.If 8x + 14 = 2x + 86, what is x? (a) 13 (b) 11 (c) 14 (d) 12
  34. 34.If x/4 + 5 = 13, what is x? (a) 8 (b) 47 (c) 72 (d) 32
  35. 35.If 6x + 2 = x + 27, what is x? (a) 4 (b) 7 (c) 5 (d) 6
  36. 36.If 9x + 4 = 49, what is x? (a) 6 (b) 4 (c) 5 (d) 45
  37. 37.If 4x + 3 = 2x + 27, what is x? (a) 12 (b) 15 (c) 13 (d) 4
  38. 38.If 3x − 9 = 18, what is x? (a) 3 (b) 9 (c) 27 (d) 10
  39. 39.If 7x + 15 = 5x + 33, what is x? (a) 11 (b) 9 (c) 24 (d) 10
  40. 40.If 6x + 5 = x + 15, what is x? (a) 3 (b) 1 (c) 2 (d) 4

Answer key

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

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