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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 857 · 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/5 + 13 = 24, what is x? (a) 185 (b) 55 (c) 107 (d) 11
  2. 2.If 8x + 18 = 138, what is x? (a) 16 (b) 120 (c) 14 (d) 15
  3. 3.If 8x + 3 = 2x + 15, what is x? (a) 1 (b) 4 (c) 2 (d) 3
  4. 4.If 8x + 15 = 103, what is x? (a) 10 (b) 12 (c) 11 (d) 88
  5. 5.If 2x + 8 = 28, what is x? (a) 10 (b) 20 (c) 18 (d) 11
  6. 6.If 2x + 20 = 34, what is x? (a) 7 (b) 14 (c) 8 (d) 27
  7. 7.If 3x + 12 = x + 20, what is x? (a) 2 (b) 4 (c) 5 (d) 16
  8. 8.If 3x + 6 = x + 14, what is x? (a) 2 (b) 10 (c) 5 (d) 4
  9. 9.If 4x − 10 = 10, what is x? (a) 20 (b) 4 (c) 5 (d) 6
  10. 10.If x/5 + 2 = 7, what is x? (a) 5 (b) 33 (c) 45 (d) 25
  11. 11.If 2x + 4 = 12, what is x? (a) 3 (b) 5 (c) 4 (d) 8
  12. 12.If 7x + 13 = 41, what is x? (a) 5 (b) 3 (c) 28 (d) 4
  13. 13.If 2x − 4 = 22, what is x? (a) 9 (b) 26 (c) 14 (d) 13
  14. 14.If x/3 + 4 = 8, what is x? (a) 4 (b) 12 (c) 20 (d) 36
  15. 15.If 8x + 1 = 6x + 21, what is x? (a) 11 (b) 9 (c) 10 (d) 12
  16. 16.If 6x + 26 = 62, what is x? (a) 36 (b) 5 (c) 7 (d) 6
  17. 17.If 3x − 11 = 1, what is x? (a) 3 (b) 12 (c) 4 (d) 5
  18. 18.If 3x + 10 = 34, what is x? (a) 9 (b) 8 (c) 24 (d) 7
  19. 19.If 7x − 41 = 29, what is x? (a) 9 (b) 11 (c) 10 (d) 70
  20. 20.If 3x + 15 = x + 23, what is x? (a) 5 (b) 2 (c) 4 (d) 19
  21. 21.If 6x + 16 = 76, what is x? (a) 10 (b) 9 (c) 11 (d) 60
  22. 22.If x/3 + 1 = 6, what is x? (a) 15 (b) 21 (c) 5 (d) 17
  23. 23.If 5x + 7 = 27, what is x? (a) 5 (b) 20 (c) 3 (d) 4
  24. 24.If 8x + 11 = 4x + 51, what is x? (a) 9 (b) 12 (c) 11 (d) 10
  25. 25.If 3x + 20 = 56, what is x? (a) 13 (b) 11 (c) 36 (d) 12
  26. 26.If 3x + 16 = x + 22, what is x? (a) 19 (b) 3 (c) 5 (d) 4
  27. 27.If 3x + 15 = 2x + 18, what is x? (a) 5 (b) 33 (c) 3 (d) 4
  28. 28.If 4x + 13 = x + 37, what is x? (a) 9 (b) 10 (c) 8 (d) 7
  29. 29.If 9x − 55 = 53, what is x? (a) 11 (b) 13 (c) 12 (d) 108
  30. 30.If 8x − 33 = 7, what is x? (a) 4 (b) 40 (c) 6 (d) 5
  31. 31.If 9x + 3 = 8x + 13, what is x? (a) 12 (b) 16 (c) 11 (d) 10
  32. 32.If x/3 + 5 = 16, what is x? (a) 11 (b) 63 (c) 33 (d) 43
  33. 33.If 8x + 14 = 46, what is x? (a) 32 (b) 4 (c) 5 (d) 3
  34. 34.If 5x − 1 = 9, what is x? (a) 1 (b) 3 (c) 10 (d) 2
  35. 35.If x/2 + 13 = 15, what is x? (a) 56 (b) 4 (c) 17 (d) 2
  36. 36.If 4x + 19 = x + 46, what is x? (a) 8 (b) 9 (c) 11 (d) 10
  37. 37.If x/2 + 3 = 8, what is x? (a) 10 (b) 13 (c) 22 (d) 5
  38. 38.If 3x + 10 = x + 18, what is x? (a) 5 (b) 14 (c) 4 (d) 2
  39. 39.If 3x + 19 = x + 41, what is x? (a) 11 (b) 30 (c) 12 (d) 13
  40. 40.If 6x + 5 = 41, what is x? (a) 7 (b) 6 (c) 5 (d) 36

Answer key

  1. 55
  2. 15
  3. 2
  4. 11
  5. 10
  6. 7
  7. 4
  8. 4
  9. 5
  10. 25
  11. 4
  12. 4
  13. 13
  14. 12
  15. 10
  16. 6
  17. 4
  18. 8
  19. 10
  20. 4
  21. 10
  22. 15
  23. 4
  24. 10
  25. 12
  26. 3
  27. 3
  28. 8
  29. 12
  30. 5
  31. 10
  32. 33
  33. 4
  34. 2
  35. 4
  36. 9
  37. 10
  38. 4
  39. 11
  40. 6

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