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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 882 · 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 5x − 11 = 29, what is x? (a) 7 (b) 9 (c) 40 (d) 8
  2. 2.If 3x + 6 = 2x + 10, what is x? (a) 5 (b) 16 (c) 6 (d) 4
  3. 3.If 7x + 7 = 21, what is x? (a) 2 (b) 14 (c) 4 (d) 3
  4. 4.If 6x + 7 = 3x + 19, what is x? (a) 3 (b) 5 (c) 6 (d) 4
  5. 5.If x/6 + 1 = 9, what is x? (a) 8 (b) 48 (c) 60 (d) 53
  6. 6.If x/6 + 12 = 15, what is x? (a) 3 (b) 78 (c) 162 (d) 18
  7. 7.If 6x + 9 = 39, what is x? (a) 30 (b) 6 (c) 8 (d) 5
  8. 8.If 4x − 9 = 31, what is x? (a) 10 (b) 40 (c) 11 (d) 9
  9. 9.If 2x + 22 = 38, what is x? (a) 9 (b) 16 (c) 30 (d) 8
  10. 10.If 9x + 11 = 146, what is x? (a) 14 (b) 16 (c) 135 (d) 15
  11. 11.If 4x + 10 = 70, what is x? (a) 16 (b) 20 (c) 15 (d) 60
  12. 12.If x/2 + 15 = 17, what is x? (a) 64 (b) 19 (c) 2 (d) 4
  13. 13.If 2x − 2 = 18, what is x? (a) 8 (b) 11 (c) 10 (d) 20
  14. 14.If x/2 + 15 = 18, what is x? (a) 21 (b) 6 (c) 66 (d) 3
  15. 15.If 7x + 7 = 77, what is x? (a) 12 (b) 10 (c) 70 (d) 11
  16. 16.If 9x + 6 = 60, what is x? (a) 54 (b) 6 (c) 7 (d) 5
  17. 17.If 4x − 44 = 4, what is x? (a) 48 (b) 12 (c) 11 (d) 13
  18. 18.If 5x + 4 = 74, what is x? (a) 13 (b) 70 (c) 15 (d) 14
  19. 19.If 5x + 10 = 50, what is x? (a) 8 (b) 12 (c) 9 (d) 40
  20. 20.If 8x + 18 = 5x + 51, what is x? (a) 23 (b) 11 (c) 13 (d) 12
  21. 21.If 6x + 1 = 13, what is x? (a) 1 (b) 3 (c) 2 (d) 12
  22. 22.If 9x + 14 = 3x + 38, what is x? (a) 4 (b) 5 (c) 6 (d) 2
  23. 23.If 3x − 6 = 33, what is x? (a) 39 (b) 9 (c) 13 (d) 14
  24. 24.If 4x + 13 = x + 16, what is x? (a) 2 (b) 3 (c) 4 (d) 1
  25. 25.If 3x + 8 = 2x + 16, what is x? (a) 10 (b) 9 (c) 24 (d) 8
  26. 26.If 5x + 19 = 34, what is x? (a) 3 (b) 15 (c) 4 (d) 2
  27. 27.If 4x + 4 = x + 10, what is x? (a) 1 (b) 3 (c) 2 (d) 4
  28. 28.If 8x + 12 = 7x + 17, what is x? (a) 6 (b) 7 (c) 29 (d) 5
  29. 29.If 4x + 18 = x + 39, what is x? (a) 7 (b) 9 (c) 8 (d) 19
  30. 30.If 6x + 2 = 14, what is x? (a) 3 (b) 12 (c) 1 (d) 2
  31. 31.If 6x + 17 = 4x + 19, what is x? (a) 3 (b) 18 (c) 2 (d) 1
  32. 32.If 7x + 5 = x + 23, what is x? (a) 5 (b) 2 (c) 3 (d) 4
  33. 33.If x/3 + 9 = 16, what is x? (a) 75 (b) 39 (c) 7 (d) 21
  34. 34.If 2x + 20 = 32, what is x? (a) 7 (b) 26 (c) 6 (d) 12
  35. 35.If 3x − 13 = 17, what is x? (a) 30 (b) 11 (c) 9 (d) 10
  36. 36.If 3x + 10 = 49, what is x? (a) 39 (b) 14 (c) 12 (d) 13
  37. 37.If 7x + 16 = 2x + 61, what is x? (a) 9 (b) 11 (c) 5 (d) 10
  38. 38.If x/2 + 6 = 17, what is x? (a) 22 (b) 11 (c) 46 (d) 28
  39. 39.If 9x − 75 = 51, what is x? (a) 14 (b) 15 (c) 126 (d) 13
  40. 40.If 7x + 24 = 52, what is x? (a) 5 (b) 4 (c) 3 (d) 28

Answer key

  1. 8
  2. 4
  3. 2
  4. 4
  5. 48
  6. 18
  7. 5
  8. 10
  9. 8
  10. 15
  11. 15
  12. 4
  13. 10
  14. 6
  15. 10
  16. 6
  17. 12
  18. 14
  19. 8
  20. 11
  21. 2
  22. 4
  23. 13
  24. 1
  25. 8
  26. 3
  27. 2
  28. 5
  29. 7
  30. 2
  31. 1
  32. 3
  33. 21
  34. 6
  35. 10
  36. 13
  37. 9
  38. 22
  39. 14
  40. 4

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