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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 874 · 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 3x + 6 = 24, what is x? (a) 18 (b) 10 (c) 7 (d) 6
  2. 2.If 5x + 12 = x + 52, what is x? (a) 10 (b) 16 (c) 11 (d) 12
  3. 3.If 5x + 11 = 2x + 44, what is x? (a) 13 (b) 10 (c) 11 (d) 12
  4. 4.If 2x − 3 = 7, what is x? (a) 10 (b) 6 (c) 2 (d) 5
  5. 5.If 4x + 7 = 47, what is x? (a) 10 (b) 11 (c) 9 (d) 40
  6. 6.If 9x − 123 = 3, what is x? (a) 15 (b) 13 (c) 14 (d) 126
  7. 7.If 9x + 18 = 63, what is x? (a) 9 (b) 6 (c) 45 (d) 5
  8. 8.If x/4 + 5 = 15, what is x? (a) 10 (b) 55 (c) 40 (d) 80
  9. 9.If 3x + 15 = 2x + 23, what is x? (a) 9 (b) 38 (c) 10 (d) 8
  10. 10.If 5x − 21 = 44, what is x? (a) 12 (b) 14 (c) 65 (d) 13
  11. 11.If 6x + 13 = 4x + 25, what is x? (a) 19 (b) 8 (c) 6 (d) 7
  12. 12.If 3x − 9 = 9, what is x? (a) 7 (b) 6 (c) 5 (d) 18
  13. 13.If 4x + 15 = 59, what is x? (a) 11 (b) 44 (c) 10 (d) 12
  14. 14.If 9x + 14 = 77, what is x? (a) 63 (b) 8 (c) 7 (d) 6
  15. 15.If 5x + 8 = 38, what is x? (a) 5 (b) 7 (c) 6 (d) 30
  16. 16.If 5x + 5 = 15, what is x? (a) 3 (b) 10 (c) 2 (d) 4
  17. 17.If 3x − 32 = 13, what is x? (a) 45 (b) 16 (c) 14 (d) 15
  18. 18.If 8x − 71 = 25, what is x? (a) 96 (b) 13 (c) 11 (d) 12
  19. 19.If 2x + 11 = 19, what is x? (a) 4 (b) 5 (c) 15 (d) 8
  20. 20.If x/5 + 6 = 14, what is x? (a) 100 (b) 64 (c) 40 (d) 8
  21. 21.If x/3 + 4 = 9, what is x? (a) 39 (b) 23 (c) 5 (d) 15
  22. 22.If 5x − 4 = 6, what is x? (a) 1 (b) 2 (c) 3 (d) 10
  23. 23.If 5x + 20 = 3x + 28, what is x? (a) 5 (b) 4 (c) 24 (d) 1
  24. 24.If 9x + 14 = 59, what is x? (a) 6 (b) 4 (c) 5 (d) 45
  25. 25.If 8x + 7 = x + 21, what is x? (a) 4 (b) 3 (c) 1 (d) 2
  26. 26.If 3x − 9 = 6, what is x? (a) 4 (b) 15 (c) 5 (d) 6
  27. 27.If 3x + 5 = 44, what is x? (a) 39 (b) 12 (c) 13 (d) 14
  28. 28.If x/5 + 3 = 9, what is x? (a) 30 (b) 42 (c) 60 (d) 6
  29. 29.If 9x + 10 = 4x + 70, what is x? (a) 12 (b) 14 (c) 13 (d) 16
  30. 30.If 3x − 1 = 8, what is x? (a) 2 (b) 9 (c) 4 (d) 3
  31. 31.If 9x − 9 = 9, what is x? (a) 2 (b) 18 (c) 3 (d) 1
  32. 32.If 6x + 8 = 4x + 30, what is x? (a) 12 (b) 11 (c) 19 (d) 13
  33. 33.If 5x + 9 = 3x + 25, what is x? (a) 2 (b) 8 (c) 9 (d) 17
  34. 34.If 8x − 16 = 8, what is x? (a) 4 (b) 3 (c) 24 (d) 2
  35. 35.If 9x + 13 = 2x + 76, what is x? (a) 11 (b) 10 (c) 8 (d) 9
  36. 36.If 3x + 12 = 48, what is x? (a) 12 (b) 13 (c) 36 (d) 20
  37. 37.If 7x + 7 = 105, what is x? (a) 15 (b) 14 (c) 98 (d) 16
  38. 38.If 8x + 16 = 7x + 17, what is x? (a) 33 (b) 2 (c) 1 (d) 3
  39. 39.If 7x + 10 = 6x + 11, what is x? (a) 1 (b) 3 (c) 21 (d) 2
  40. 40.If 4x − 12 = 20, what is x? (a) 8 (b) 32 (c) 2 (d) 9

Answer key

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

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