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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 946 · 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 6x − 13 = 23, what is x? (a) 36 (b) 7 (c) 5 (d) 6
  2. 2.If 4x + 24 = 52, what is x? (a) 8 (b) 28 (c) 7 (d) 19
  3. 3.If 4x + 17 = 3x + 19, what is x? (a) 3 (b) 36 (c) 4 (d) 2
  4. 4.If 9x + 17 = 89, what is x? (a) 7 (b) 9 (c) 8 (d) 72
  5. 5.If x/2 + 4 = 15, what is x? (a) 11 (b) 26 (c) 38 (d) 22
  6. 6.If 3x + 25 = 37, what is x? (a) 12 (b) 4 (c) 5 (d) 3
  7. 7.If 5x + 6 = 2x + 9, what is x? (a) 2 (b) 1 (c) 5 (d) 3
  8. 8.If 9x + 4 = 6x + 7, what is x? (a) 3 (b) 2 (c) 1 (d) 4
  9. 9.If 5x + 9 = 2x + 39, what is x? (a) 11 (b) 10 (c) 12 (d) 16
  10. 10.If x/5 + 10 = 16, what is x? (a) 30 (b) 130 (c) 70 (d) 6
  11. 11.If 7x + 26 = 103, what is x? (a) 77 (b) 11 (c) 10 (d) 12
  12. 12.If 7x + 28 = 56, what is x? (a) 28 (b) 12 (c) 4 (d) 5
  13. 13.If 2x + 7 = 35, what is x? (a) 15 (b) 21 (c) 14 (d) 28
  14. 14.If 9x + 10 = 5x + 18, what is x? (a) 7 (b) 2 (c) 3 (d) 4
  15. 15.If 2x − 9 = 17, what is x? (a) 14 (b) 4 (c) 13 (d) 26
  16. 16.If 3x + 1 = x + 13, what is x? (a) 6 (b) 8 (c) 3 (d) 7
  17. 17.If 2x − 7 = 7, what is x? (a) 8 (b) 6 (c) 14 (d) 7
  18. 18.If 9x + 6 = 8x + 7, what is x? (a) 1 (b) 3 (c) 13 (d) 2
  19. 19.If 4x + 15 = 2x + 21, what is x? (a) 4 (b) 18 (c) 1 (d) 3
  20. 20.If 5x + 8 = 4x + 11, what is x? (a) 19 (b) 3 (c) 5 (d) 4
  21. 21.If 3x + 7 = 2x + 18, what is x? (a) 12 (b) 13 (c) 25 (d) 11
  22. 22.If x/6 + 14 = 25, what is x? (a) 136 (b) 234 (c) 66 (d) 11
  23. 23.If 4x + 20 = 2x + 34, what is x? (a) 27 (b) 7 (c) 9 (d) 8
  24. 24.If 3x − 22 = 20, what is x? (a) 13 (b) 15 (c) 42 (d) 14
  25. 25.If 9x − 13 = 5, what is x? (a) 18 (b) 1 (c) 3 (d) 2
  26. 26.If 3x − 25 = 14, what is x? (a) 39 (b) 12 (c) 13 (d) 14
  27. 27.If 2x − 19 = 3, what is x? (a) 10 (b) 22 (c) 12 (d) 11
  28. 28.If 5x + 30 = 105, what is x? (a) 27 (b) 16 (c) 15 (d) 75
  29. 29.If 4x + 1 = x + 37, what is x? (a) 11 (b) 13 (c) 12 (d) 14
  30. 30.If x/5 + 11 = 20, what is x? (a) 155 (b) 89 (c) 45 (d) 9
  31. 31.If 6x + 6 = 2x + 18, what is x? (a) 3 (b) 5 (c) 6 (d) 4
  32. 32.If 2x − 1 = 5, what is x? (a) 6 (b) 3 (c) 2 (d) 4
  33. 33.If 3x + 1 = x + 15, what is x? (a) 9 (b) 8 (c) 7 (d) 6
  34. 34.If 3x + 9 = x + 21, what is x? (a) 3 (b) 6 (c) 7 (d) 15
  35. 35.If 8x − 51 = 29, what is x? (a) 11 (b) 80 (c) 9 (d) 10
  36. 36.If 3x + 2 = x + 14, what is x? (a) 3 (b) 8 (c) 6 (d) 7
  37. 37.If 8x + 29 = 45, what is x? (a) 16 (b) 3 (c) 2 (d) 1
  38. 38.If 6x − 11 = 43, what is x? (a) 8 (b) 10 (c) 54 (d) 9
  39. 39.If 5x − 21 = 34, what is x? (a) 11 (b) 12 (c) 55 (d) 10
  40. 40.If x/2 + 1 = 3, what is x? (a) 2 (b) 4 (c) 8 (d) 5

Answer key

  1. 6
  2. 7
  3. 2
  4. 8
  5. 22
  6. 4
  7. 1
  8. 1
  9. 10
  10. 30
  11. 11
  12. 4
  13. 14
  14. 2
  15. 13
  16. 6
  17. 7
  18. 1
  19. 3
  20. 3
  21. 11
  22. 66
  23. 7
  24. 14
  25. 2
  26. 13
  27. 11
  28. 15
  29. 12
  30. 45
  31. 3
  32. 3
  33. 7
  34. 6
  35. 10
  36. 6
  37. 2
  38. 9
  39. 11
  40. 4

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