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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 969 · 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 7x + 2 = 107, what is x? (a) 14 (b) 105 (c) 15 (d) 16
  2. 2.If 6x + 26 = 50, what is x? (a) 3 (b) 5 (c) 4 (d) 24
  3. 3.If 6x + 4 = 2x + 24, what is x? (a) 5 (b) 4 (c) 6 (d) 7
  4. 4.If 9x + 7 = x + 31, what is x? (a) 3 (b) 2 (c) 4 (d) 5
  5. 5.If 6x − 8 = 28, what is x? (a) 36 (b) 5 (c) 7 (d) 6
  6. 6.If 6x + 11 = 3x + 29, what is x? (a) 6 (b) 8 (c) 2 (d) 7
  7. 7.If 8x − 42 = 78, what is x? (a) 120 (b) 14 (c) 15 (d) 16
  8. 8.If 4x − 2 = 6, what is x? (a) 3 (b) 1 (c) 8 (d) 2
  9. 9.If x/2 + 12 = 14, what is x? (a) 52 (b) 16 (c) 2 (d) 4
  10. 10.If 5x + 6 = 2x + 30, what is x? (a) 9 (b) 10 (c) 12 (d) 8
  11. 11.If 6x + 27 = 117, what is x? (a) 16 (b) 24 (c) 15 (d) 90
  12. 12.If 6x + 14 = 26, what is x? (a) 2 (b) 1 (c) 12 (d) 3
  13. 13.If 3x + 17 = x + 29, what is x? (a) 6 (b) 3 (c) 23 (d) 7
  14. 14.If 7x + 2 = 30, what is x? (a) 4 (b) 3 (c) 5 (d) 28
  15. 15.If 3x + 10 = 2x + 13, what is x? (a) 23 (b) 3 (c) 4 (d) 5
  16. 16.If 3x + 11 = 38, what is x? (a) 10 (b) 27 (c) 8 (d) 9
  17. 17.If 4x + 10 = 50, what is x? (a) 11 (b) 40 (c) 10 (d) 15
  18. 18.If 6x + 19 = 103, what is x? (a) 15 (b) 13 (c) 84 (d) 14
  19. 19.If 6x − 10 = 38, what is x? (a) 9 (b) 7 (c) 8 (d) 48
  20. 20.If x/6 + 3 = 14, what is x? (a) 102 (b) 66 (c) 81 (d) 11
  21. 21.If x/4 + 9 = 20, what is x? (a) 44 (b) 11 (c) 116 (d) 71
  22. 22.If 4x + 10 = 3x + 13, what is x? (a) 23 (b) 3 (c) 4 (d) 5
  23. 23.If 3x − 26 = 1, what is x? (a) 27 (b) 10 (c) 9 (d) 8
  24. 24.If x/4 + 8 = 14, what is x? (a) 88 (b) 6 (c) 48 (d) 24
  25. 25.If 4x + 2 = 2x + 24, what is x? (a) 12 (b) 10 (c) 13 (d) 11
  26. 26.If 5x − 8 = 2, what is x? (a) 3 (b) 2 (c) 1 (d) 10
  27. 27.If 4x − 23 = 17, what is x? (a) 11 (b) 9 (c) 40 (d) 10
  28. 28.If 7x + 17 = 2x + 47, what is x? (a) 8 (b) 6 (c) 7 (d) 5
  29. 29.If 4x + 4 = 28, what is x? (a) 24 (b) 8 (c) 7 (d) 6
  30. 30.If 7x − 11 = 10, what is x? (a) 21 (b) 2 (c) 4 (d) 3
  31. 31.If 2x + 2 = 10, what is x? (a) 4 (b) 6 (c) 8 (d) 5
  32. 32.If 9x − 34 = 65, what is x? (a) 12 (b) 99 (c) 11 (d) 10
  33. 33.If 5x + 17 = 47, what is x? (a) 7 (b) 6 (c) 30 (d) 5
  34. 34.If x/2 + 3 = 7, what is x? (a) 20 (b) 8 (c) 4 (d) 11
  35. 35.If 6x − 16 = 2, what is x? (a) 2 (b) 18 (c) 4 (d) 3
  36. 36.If x/2 + 6 = 12, what is x? (a) 18 (b) 6 (c) 36 (d) 12
  37. 37.If 8x + 14 = x + 77, what is x? (a) 13 (b) 7 (c) 10 (d) 9
  38. 38.If 5x + 16 = 2x + 25, what is x? (a) 5 (b) 2 (c) 3 (d) 4
  39. 39.If x/6 + 3 = 13, what is x? (a) 75 (b) 60 (c) 96 (d) 10
  40. 40.If 3x + 17 = 56, what is x? (a) 14 (b) 13 (c) 39 (d) 12

Answer key

  1. 15
  2. 4
  3. 5
  4. 3
  5. 6
  6. 6
  7. 15
  8. 2
  9. 4
  10. 8
  11. 15
  12. 2
  13. 6
  14. 4
  15. 3
  16. 9
  17. 10
  18. 14
  19. 8
  20. 66
  21. 44
  22. 3
  23. 9
  24. 24
  25. 11
  26. 2
  27. 10
  28. 6
  29. 6
  30. 3
  31. 4
  32. 11
  33. 6
  34. 8
  35. 3
  36. 12
  37. 9
  38. 3
  39. 60
  40. 13

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