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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 906 · 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 8x − 82 = 30, what is x? (a) 112 (b) 15 (c) 13 (d) 14
  2. 2.If 2x + 18 = 30, what is x? (a) 7 (b) 24 (c) 6 (d) 12
  3. 3.If x/5 + 4 = 7, what is x? (a) 3 (b) 55 (c) 15 (d) 31
  4. 4.If 7x + 12 = 75, what is x? (a) 9 (b) 10 (c) 63 (d) 8
  5. 5.If 7x + 15 = x + 33, what is x? (a) 8 (b) 3 (c) 4 (d) 5
  6. 6.If 6x − 50 = 16, what is x? (a) 66 (b) 10 (c) 12 (d) 11
  7. 7.If x/5 + 12 = 21, what is x? (a) 165 (b) 45 (c) 93 (d) 9
  8. 8.If 6x + 14 = 3x + 20, what is x? (a) 2 (b) 4 (c) 1 (d) 3
  9. 9.If 5x + 2 = 22, what is x? (a) 5 (b) 4 (c) 20 (d) 3
  10. 10.If 9x + 11 = 7x + 21, what is x? (a) 6 (b) 16 (c) 5 (d) 7
  11. 11.If 7x + 12 = 6x + 15, what is x? (a) 27 (b) 4 (c) 3 (d) 5
  12. 12.If 8x + 1 = 4x + 13, what is x? (a) 1 (b) 5 (c) 4 (d) 3
  13. 13.If 4x + 17 = 3x + 18, what is x? (a) 35 (b) 3 (c) 2 (d) 1
  14. 14.If 5x + 25 = 55, what is x? (a) 30 (b) 6 (c) 16 (d) 7
  15. 15.If 7x + 27 = 90, what is x? (a) 63 (b) 10 (c) 9 (d) 8
  16. 16.If 5x + 2 = x + 10, what is x? (a) 1 (b) 4 (c) 2 (d) 3
  17. 17.If 4x − 3 = 9, what is x? (a) 12 (b) 2 (c) 4 (d) 3
  18. 18.If 3x + 8 = 20, what is x? (a) 4 (b) 5 (c) 12 (d) 3
  19. 19.If 8x + 2 = 7x + 12, what is x? (a) 12 (b) 14 (c) 10 (d) 11
  20. 20.If 4x − 1 = 59, what is x? (a) 15 (b) 16 (c) 14 (d) 60
  21. 21.If 8x − 44 = 20, what is x? (a) 7 (b) 8 (c) 9 (d) 64
  22. 22.If 4x + 19 = 3x + 31, what is x? (a) 13 (b) 50 (c) 14 (d) 12
  23. 23.If x/3 + 1 = 8, what is x? (a) 7 (b) 21 (c) 23 (d) 27
  24. 24.If x/6 + 7 = 15, what is x? (a) 8 (b) 132 (c) 48 (d) 83
  25. 25.If 5x + 18 = x + 42, what is x? (a) 6 (b) 15 (c) 7 (d) 4
  26. 26.If 7x + 25 = 109, what is x? (a) 84 (b) 13 (c) 12 (d) 11
  27. 27.If x/6 + 15 = 19, what is x? (a) 99 (b) 4 (c) 24 (d) 204
  28. 28.If 4x + 20 = 36, what is x? (a) 14 (b) 16 (c) 5 (d) 4
  29. 29.If 4x + 11 = 31, what is x? (a) 20 (b) 6 (c) 5 (d) 4
  30. 30.If x/6 + 7 = 13, what is x? (a) 71 (b) 36 (c) 120 (d) 6
  31. 31.If 4x + 13 = 2x + 21, what is x? (a) 4 (b) 6 (c) 5 (d) 17
  32. 32.If 5x + 5 = x + 17, what is x? (a) 4 (b) 3 (c) 5 (d) 2
  33. 33.If 6x − 38 = 10, what is x? (a) 8 (b) 9 (c) 48 (d) 7
  34. 34.If x/2 + 1 = 4, what is x? (a) 10 (b) 3 (c) 7 (d) 6
  35. 35.If 8x + 7 = 4x + 15, what is x? (a) 1 (b) 4 (c) 2 (d) 3
  36. 36.If 8x + 12 = 100, what is x? (a) 14 (b) 12 (c) 11 (d) 88
  37. 37.If 6x + 4 = 2x + 28, what is x? (a) 6 (b) 8 (c) 7 (d) 3
  38. 38.If x/4 + 7 = 11, what is x? (a) 37 (b) 4 (c) 16 (d) 72
  39. 39.If 6x − 7 = 11, what is x? (a) 18 (b) 3 (c) 4 (d) 2
  40. 40.If 5x + 11 = 2x + 41, what is x? (a) 10 (b) 9 (c) 11 (d) 12

Answer key

  1. 14
  2. 6
  3. 15
  4. 9
  5. 3
  6. 11
  7. 45
  8. 2
  9. 4
  10. 5
  11. 3
  12. 3
  13. 1
  14. 6
  15. 9
  16. 2
  17. 3
  18. 4
  19. 10
  20. 15
  21. 8
  22. 12
  23. 21
  24. 48
  25. 6
  26. 12
  27. 24
  28. 4
  29. 5
  30. 36
  31. 4
  32. 3
  33. 8
  34. 6
  35. 2
  36. 11
  37. 6
  38. 16
  39. 3
  40. 10

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