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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 974 · 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 + 11 = 13, what is x? (a) 48 (b) 4 (c) 2 (d) 15
  2. 2.If 2x − 7 = 15, what is x? (a) 12 (b) 11 (c) 4 (d) 22
  3. 3.If 9x + 16 = x + 48, what is x? (a) 8 (b) 6 (c) 5 (d) 4
  4. 4.If x/3 + 15 = 21, what is x? (a) 18 (b) 6 (c) 48 (d) 108
  5. 5.If 7x − 55 = 29, what is x? (a) 84 (b) 11 (c) 13 (d) 12
  6. 6.If 6x + 23 = 71, what is x? (a) 48 (b) 7 (c) 8 (d) 9
  7. 7.If 8x + 10 = 114, what is x? (a) 104 (b) 12 (c) 14 (d) 13
  8. 8.If 2x + 28 = 36, what is x? (a) 32 (b) 5 (c) 4 (d) 8
  9. 9.If x/6 + 13 = 23, what is x? (a) 125 (b) 10 (c) 60 (d) 216
  10. 10.If 7x + 1 = 5x + 11, what is x? (a) 7 (b) 5 (c) 4 (d) 6
  11. 11.If 3x − 11 = 31, what is x? (a) 15 (b) 13 (c) 14 (d) 42
  12. 12.If 3x − 10 = 23, what is x? (a) 12 (b) 10 (c) 33 (d) 11
  13. 13.If 8x − 29 = 11, what is x? (a) 40 (b) 4 (c) 5 (d) 6
  14. 14.If x/2 + 11 = 20, what is x? (a) 29 (b) 9 (c) 62 (d) 18
  15. 15.If 7x + 30 = 135, what is x? (a) 14 (b) 16 (c) 15 (d) 105
  16. 16.If 3x − 17 = 19, what is x? (a) 12 (b) 36 (c) 11 (d) 13
  17. 17.If x/4 + 11 = 18, what is x? (a) 28 (b) 7 (c) 116 (d) 61
  18. 18.If 2x − 3 = 9, what is x? (a) 3 (b) 6 (c) 7 (d) 12
  19. 19.If 4x + 10 = x + 46, what is x? (a) 14 (b) 11 (c) 12 (d) 13
  20. 20.If 9x + 18 = 144, what is x? (a) 126 (b) 15 (c) 14 (d) 18
  21. 21.If 8x − 38 = 2, what is x? (a) 6 (b) 40 (c) 5 (d) 4
  22. 22.If 2x + 24 = 44, what is x? (a) 20 (b) 10 (c) 11 (d) 34
  23. 23.If 5x + 28 = 43, what is x? (a) 4 (b) 2 (c) 15 (d) 3
  24. 24.If 7x + 24 = 80, what is x? (a) 9 (b) 56 (c) 8 (d) 7
  25. 25.If x/2 + 9 = 20, what is x? (a) 22 (b) 31 (c) 58 (d) 11
  26. 26.If 6x + 14 = 80, what is x? (a) 10 (b) 12 (c) 11 (d) 66
  27. 27.If 6x − 30 = 24, what is x? (a) 10 (b) 9 (c) 8 (d) 54
  28. 28.If 3x + 17 = x + 31, what is x? (a) 8 (b) 9 (c) 7 (d) 24
  29. 29.If 6x − 17 = 55, what is x? (a) 12 (b) 11 (c) 13 (d) 72
  30. 30.If 4x + 9 = 3x + 20, what is x? (a) 11 (b) 29 (c) 13 (d) 12
  31. 31.If 5x + 9 = 2x + 39, what is x? (a) 12 (b) 10 (c) 16 (d) 11
  32. 32.If 4x + 17 = 61, what is x? (a) 11 (b) 12 (c) 44 (d) 10
  33. 33.If 3x + 25 = 49, what is x? (a) 9 (b) 24 (c) 7 (d) 8
  34. 34.If 7x + 1 = 2x + 46, what is x? (a) 5 (b) 10 (c) 11 (d) 9
  35. 35.If x/4 + 9 = 21, what is x? (a) 75 (b) 48 (c) 120 (d) 12
  36. 36.If 4x − 41 = 11, what is x? (a) 12 (b) 14 (c) 13 (d) 52
  37. 37.If x/6 + 12 = 24, what is x? (a) 72 (b) 132 (c) 216 (d) 12
  38. 38.If x/3 + 8 = 10, what is x? (a) 54 (b) 2 (c) 22 (d) 6
  39. 39.If 6x − 11 = 37, what is x? (a) 9 (b) 8 (c) 7 (d) 48
  40. 40.If 4x + 12 = 3x + 24, what is x? (a) 36 (b) 13 (c) 14 (d) 12

Answer key

  1. 4
  2. 11
  3. 4
  4. 18
  5. 12
  6. 8
  7. 13
  8. 4
  9. 60
  10. 5
  11. 14
  12. 11
  13. 5
  14. 18
  15. 15
  16. 12
  17. 28
  18. 6
  19. 12
  20. 14
  21. 5
  22. 10
  23. 3
  24. 8
  25. 22
  26. 11
  27. 9
  28. 7
  29. 12
  30. 11
  31. 10
  32. 11
  33. 8
  34. 9
  35. 48
  36. 13
  37. 72
  38. 6
  39. 8
  40. 12

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