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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 937 · 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 − 1 = 11, what is x? (a) 12 (b) 5 (c) 3 (d) 4
  2. 2.If x/2 + 13 = 16, what is x? (a) 58 (b) 19 (c) 6 (d) 3
  3. 3.If 4x + 2 = 2x + 8, what is x? (a) 3 (b) 5 (c) 1 (d) 4
  4. 4.If 5x − 22 = 28, what is x? (a) 10 (b) 11 (c) 9 (d) 50
  5. 5.If 2x − 10 = 10, what is x? (a) 10 (b) 20 (c) 11 (d) 9
  6. 6.If x/4 + 3 = 9, what is x? (a) 6 (b) 33 (c) 48 (d) 24
  7. 7.If 9x − 80 = 19, what is x? (a) 10 (b) 99 (c) 11 (d) 12
  8. 8.If x/6 + 4 = 13, what is x? (a) 54 (b) 9 (c) 74 (d) 102
  9. 9.If 5x + 14 = 3x + 20, what is x? (a) 17 (b) 4 (c) 5 (d) 3
  10. 10.If 4x − 53 = 3, what is x? (a) 56 (b) 13 (c) 15 (d) 14
  11. 11.If x/4 + 14 = 16, what is x? (a) 50 (b) 8 (c) 2 (d) 120
  12. 12.If 5x − 31 = 19, what is x? (a) 50 (b) 9 (c) 11 (d) 10
  13. 13.If 8x + 6 = 38, what is x? (a) 4 (b) 32 (c) 5 (d) 3
  14. 14.If x/2 + 5 = 10, what is x? (a) 10 (b) 15 (c) 5 (d) 30
  15. 15.If 4x − 56 = 4, what is x? (a) 60 (b) 16 (c) 14 (d) 15
  16. 16.If x/3 + 9 = 17, what is x? (a) 8 (b) 24 (c) 42 (d) 78
  17. 17.If x/4 + 10 = 21, what is x? (a) 11 (b) 124 (c) 44 (d) 74
  18. 18.If 5x + 18 = 2x + 36, what is x? (a) 8 (b) 7 (c) 18 (d) 6
  19. 19.If 9x + 6 = 3x + 54, what is x? (a) 4 (b) 9 (c) 10 (d) 8
  20. 20.If x/3 + 6 = 16, what is x? (a) 10 (b) 30 (c) 42 (d) 66
  21. 21.If 3x − 27 = 3, what is x? (a) 30 (b) 9 (c) 10 (d) 11
  22. 22.If x/4 + 8 = 17, what is x? (a) 9 (b) 36 (c) 60 (d) 100
  23. 23.If 3x + 14 = 2x + 16, what is x? (a) 30 (b) 3 (c) 4 (d) 2
  24. 24.If x/6 + 1 = 9, what is x? (a) 48 (b) 60 (c) 53 (d) 8
  25. 25.If 7x + 12 = 3x + 44, what is x? (a) 10 (b) 14 (c) 9 (d) 8
  26. 26.If 3x + 1 = x + 17, what is x? (a) 4 (b) 9 (c) 10 (d) 8
  27. 27.If 4x + 20 = x + 53, what is x? (a) 13 (b) 11 (c) 12 (d) 10
  28. 28.If 3x + 29 = 38, what is x? (a) 9 (b) 2 (c) 4 (d) 3
  29. 29.If 2x + 4 = 12, what is x? (a) 4 (b) 8 (c) 5 (d) 3
  30. 30.If 9x − 9 = 72, what is x? (a) 10 (b) 81 (c) 9 (d) 7
  31. 31.If x/5 + 6 = 15, what is x? (a) 45 (b) 9 (c) 105 (d) 69
  32. 32.If x/4 + 3 = 10, what is x? (a) 52 (b) 7 (c) 28 (d) 37
  33. 33.If 3x + 11 = x + 13, what is x? (a) 12 (b) 3 (c) 2 (d) 1
  34. 34.If 4x + 9 = 37, what is x? (a) 8 (b) 7 (c) 28 (d) 6
  35. 35.If 2x + 7 = 27, what is x? (a) 11 (b) 20 (c) 17 (d) 10
  36. 36.If 4x + 13 = 45, what is x? (a) 9 (b) 8 (c) 7 (d) 32
  37. 37.If 4x + 1 = x + 37, what is x? (a) 13 (b) 14 (c) 12 (d) 11
  38. 38.If 6x + 20 = 5x + 24, what is x? (a) 44 (b) 6 (c) 4 (d) 5
  39. 39.If 5x − 13 = 42, what is x? (a) 12 (b) 11 (c) 55 (d) 10
  40. 40.If 4x + 10 = 66, what is x? (a) 56 (b) 15 (c) 14 (d) 19

Answer key

  1. 4
  2. 6
  3. 3
  4. 10
  5. 10
  6. 24
  7. 11
  8. 54
  9. 3
  10. 14
  11. 8
  12. 10
  13. 4
  14. 10
  15. 15
  16. 24
  17. 44
  18. 6
  19. 8
  20. 30
  21. 10
  22. 36
  23. 2
  24. 48
  25. 8
  26. 8
  27. 11
  28. 3
  29. 4
  30. 9
  31. 45
  32. 28
  33. 1
  34. 7
  35. 10
  36. 8
  37. 12
  38. 4
  39. 11
  40. 14

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