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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 851 · 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/3 + 12 = 19, what is x? (a) 7 (b) 45 (c) 93 (d) 21
  2. 2.If 8x + 8 = 128, what is x? (a) 17 (b) 120 (c) 16 (d) 15
  3. 3.If 9x + 13 = 6x + 16, what is x? (a) 4 (b) 1 (c) 2 (d) 3
  4. 4.If 6x + 30 = 102, what is x? (a) 22 (b) 72 (c) 12 (d) 13
  5. 5.If 2x + 9 = 31, what is x? (a) 22 (b) 11 (c) 20 (d) 12
  6. 6.If 3x + 5 = 2x + 17, what is x? (a) 12 (b) 13 (c) 22 (d) 14
  7. 7.If 7x + 28 = 126, what is x? (a) 15 (b) 14 (c) 22 (d) 98
  8. 8.If 9x + 21 = 66, what is x? (a) 45 (b) 5 (c) 6 (d) 4
  9. 9.If 7x + 22 = 99, what is x? (a) 10 (b) 11 (c) 12 (d) 77
  10. 10.If 3x + 1 = x + 15, what is x? (a) 9 (b) 6 (c) 8 (d) 7
  11. 11.If 3x + 4 = 2x + 10, what is x? (a) 8 (b) 7 (c) 6 (d) 14
  12. 12.If 8x + 4 = x + 88, what is x? (a) 11 (b) 13 (c) 14 (d) 12
  13. 13.If x/2 + 12 = 14, what is x? (a) 2 (b) 16 (c) 4 (d) 52
  14. 14.If x/3 + 6 = 11, what is x? (a) 51 (b) 5 (c) 27 (d) 15
  15. 15.If 6x + 8 = 80, what is x? (a) 12 (b) 72 (c) 11 (d) 13
  16. 16.If 3x + 6 = 45, what is x? (a) 17 (b) 13 (c) 39 (d) 14
  17. 17.If 2x + 12 = 34, what is x? (a) 12 (b) 22 (c) 11 (d) 23
  18. 18.If 5x + 23 = 63, what is x? (a) 7 (b) 40 (c) 9 (d) 8
  19. 19.If 3x + 7 = x + 27, what is x? (a) 11 (b) 5 (c) 10 (d) 17
  20. 20.If 4x + 13 = 2x + 23, what is x? (a) 5 (b) 18 (c) 7 (d) 6
  21. 21.If 4x + 5 = 25, what is x? (a) 5 (b) 20 (c) 4 (d) 6
  22. 22.If 2x + 2 = 6, what is x? (a) 2 (b) 1 (c) 3 (d) 4
  23. 23.If 2x − 18 = 4, what is x? (a) 12 (b) 22 (c) 10 (d) 11
  24. 24.If 7x + 23 = 37, what is x? (a) 1 (b) 2 (c) 14 (d) 3
  25. 25.If 4x + 9 = x + 36, what is x? (a) 15 (b) 11 (c) 9 (d) 10
  26. 26.If 8x + 25 = 81, what is x? (a) 6 (b) 56 (c) 7 (d) 8
  27. 27.If 8x − 7 = 9, what is x? (a) 16 (b) 3 (c) 2 (d) 1
  28. 28.If 4x + 13 = x + 46, what is x? (a) 11 (b) 12 (c) 13 (d) 10
  29. 29.If 6x + 29 = 113, what is x? (a) 84 (b) 15 (c) 13 (d) 14
  30. 30.If 2x + 3 = 13, what is x? (a) 8 (b) 5 (c) 10 (d) 6
  31. 31.If 8x + 29 = 85, what is x? (a) 7 (b) 8 (c) 6 (d) 56
  32. 32.If 9x + 20 = 7x + 32, what is x? (a) 7 (b) 8 (c) 26 (d) 6
  33. 33.If 7x − 24 = 4, what is x? (a) 3 (b) 4 (c) 5 (d) 28
  34. 34.If 5x + 7 = x + 15, what is x? (a) 3 (b) 4 (c) 2 (d) 1
  35. 35.If 8x + 14 = 46, what is x? (a) 32 (b) 3 (c) 5 (d) 4
  36. 36.If 4x + 6 = 2x + 20, what is x? (a) 7 (b) 9 (c) 13 (d) 8
  37. 37.If 5x + 8 = 3x + 22, what is x? (a) 7 (b) 15 (c) 8 (d) 9
  38. 38.If 9x + 27 = 54, what is x? (a) 27 (b) 4 (c) 9 (d) 3
  39. 39.If x/6 + 11 = 18, what is x? (a) 7 (b) 97 (c) 174 (d) 42
  40. 40.If 6x − 65 = 13, what is x? (a) 12 (b) 13 (c) 78 (d) 14

Answer key

  1. 21
  2. 15
  3. 1
  4. 12
  5. 11
  6. 12
  7. 14
  8. 5
  9. 11
  10. 7
  11. 6
  12. 12
  13. 4
  14. 15
  15. 12
  16. 13
  17. 11
  18. 8
  19. 10
  20. 5
  21. 5
  22. 2
  23. 11
  24. 2
  25. 9
  26. 7
  27. 2
  28. 11
  29. 14
  30. 5
  31. 7
  32. 6
  33. 4
  34. 2
  35. 4
  36. 7
  37. 7
  38. 3
  39. 42
  40. 13

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