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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 837 · 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/2 + 10 = 14, what is x? (a) 48 (b) 18 (c) 8 (d) 4
  2. 2.If x/2 + 1 = 5, what is x? (a) 12 (b) 9 (c) 4 (d) 8
  3. 3.If x/6 + 11 = 23, what is x? (a) 204 (b) 72 (c) 12 (d) 127
  4. 4.If 4x − 2 = 50, what is x? (a) 13 (b) 14 (c) 12 (d) 52
  5. 5.If x/5 + 4 = 6, what is x? (a) 2 (b) 10 (c) 26 (d) 50
  6. 6.If 8x − 3 = 45, what is x? (a) 48 (b) 5 (c) 6 (d) 7
  7. 7.If 9x + 16 = 7x + 22, what is x? (a) 5 (b) 4 (c) 3 (d) 19
  8. 8.If x/3 + 10 = 13, what is x? (a) 69 (b) 9 (c) 3 (d) 29
  9. 9.If 4x + 9 = 25, what is x? (a) 4 (b) 3 (c) 5 (d) 16
  10. 10.If 2x + 22 = 36, what is x? (a) 8 (b) 14 (c) 29 (d) 7
  11. 11.If x/2 + 11 = 13, what is x? (a) 48 (b) 15 (c) 2 (d) 4
  12. 12.If x/2 + 1 = 13, what is x? (a) 12 (b) 28 (c) 25 (d) 24
  13. 13.If 2x + 16 = 46, what is x? (a) 31 (b) 16 (c) 30 (d) 15
  14. 14.If 4x + 5 = 45, what is x? (a) 9 (b) 40 (c) 10 (d) 11
  15. 15.If 7x − 27 = 1, what is x? (a) 3 (b) 4 (c) 5 (d) 28
  16. 16.If 3x + 6 = 12, what is x? (a) 3 (b) 2 (c) 6 (d) 1
  17. 17.If 3x + 19 = x + 39, what is x? (a) 29 (b) 11 (c) 10 (d) 5
  18. 18.If 7x − 75 = 16, what is x? (a) 14 (b) 91 (c) 13 (d) 12
  19. 19.If x/6 + 13 = 24, what is x? (a) 131 (b) 222 (c) 66 (d) 11
  20. 20.If 6x + 12 = x + 22, what is x? (a) 4 (b) 1 (c) 2 (d) 3
  21. 21.If x/5 + 7 = 11, what is x? (a) 48 (b) 20 (c) 4 (d) 90
  22. 22.If 2x − 12 = 2, what is x? (a) 14 (b) 8 (c) 6 (d) 7
  23. 23.If x/5 + 7 = 9, what is x? (a) 80 (b) 10 (c) 2 (d) 38
  24. 24.If 4x + 2 = x + 26, what is x? (a) 7 (b) 9 (c) 8 (d) 10
  25. 25.If 7x + 10 = x + 46, what is x? (a) 5 (b) 6 (c) 8 (d) 7
  26. 26.If 9x − 33 = 12, what is x? (a) 4 (b) 45 (c) 5 (d) 6
  27. 27.If 6x + 22 = 70, what is x? (a) 8 (b) 48 (c) 9 (d) 7
  28. 28.If 9x + 18 = 3x + 42, what is x? (a) 4 (b) 2 (c) 10 (d) 5
  29. 29.If 6x + 13 = x + 18, what is x? (a) 4 (b) 3 (c) 2 (d) 1
  30. 30.If 5x − 4 = 41, what is x? (a) 9 (b) 45 (c) 10 (d) 8
  31. 31.If 6x − 20 = 40, what is x? (a) 10 (b) 60 (c) 11 (d) 9
  32. 32.If 8x + 4 = 3x + 39, what is x? (a) 9 (b) 7 (c) 8 (d) 6
  33. 33.If 5x − 6 = 34, what is x? (a) 7 (b) 40 (c) 8 (d) 9
  34. 34.If 3x + 22 = 67, what is x? (a) 45 (b) 15 (c) 16 (d) 14
  35. 35.If 6x + 18 = 2x + 62, what is x? (a) 12 (b) 20 (c) 13 (d) 11
  36. 36.If 5x + 15 = x + 55, what is x? (a) 9 (b) 11 (c) 12 (d) 10
  37. 37.If 7x + 9 = 2x + 69, what is x? (a) 11 (b) 12 (c) 13 (d) 14
  38. 38.If 3x − 11 = 31, what is x? (a) 15 (b) 14 (c) 42 (d) 13
  39. 39.If x/5 + 7 = 17, what is x? (a) 78 (b) 50 (c) 10 (d) 120
  40. 40.If 7x − 13 = 92, what is x? (a) 16 (b) 105 (c) 15 (d) 14

Answer key

  1. 8
  2. 8
  3. 72
  4. 13
  5. 10
  6. 6
  7. 3
  8. 9
  9. 4
  10. 7
  11. 4
  12. 24
  13. 15
  14. 10
  15. 4
  16. 2
  17. 10
  18. 13
  19. 66
  20. 2
  21. 20
  22. 7
  23. 10
  24. 8
  25. 6
  26. 5
  27. 8
  28. 4
  29. 1
  30. 9
  31. 10
  32. 7
  33. 8
  34. 15
  35. 11
  36. 10
  37. 12
  38. 14
  39. 50
  40. 15

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