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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 916 · 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 3x + 3 = x + 13, what is x? (a) 5 (b) 6 (c) 8 (d) 7
  2. 2.If 3x − 1 = 23, what is x? (a) 8 (b) 9 (c) 24 (d) 7
  3. 3.If 7x + 13 = x + 37, what is x? (a) 6 (b) 4 (c) 3 (d) 5
  4. 4.If 5x − 2 = 33, what is x? (a) 7 (b) 6 (c) 35 (d) 8
  5. 5.If 3x + 10 = x + 34, what is x? (a) 22 (b) 6 (c) 13 (d) 12
  6. 6.If 6x + 17 = 3x + 41, what is x? (a) 9 (b) 7 (c) 8 (d) 10
  7. 7.If 2x + 4 = 8, what is x? (a) 2 (b) 4 (c) 3 (d) 6
  8. 8.If x/6 + 12 = 20, what is x? (a) 48 (b) 8 (c) 108 (d) 192
  9. 9.If x/3 + 3 = 13, what is x? (a) 10 (b) 36 (c) 30 (d) 48
  10. 10.If x/6 + 4 = 14, what is x? (a) 60 (b) 80 (c) 108 (d) 10
  11. 11.If 9x + 7 = 8x + 8, what is x? (a) 1 (b) 3 (c) 15 (d) 2
  12. 12.If 9x + 6 = 4x + 56, what is x? (a) 12 (b) 9 (c) 11 (d) 10
  13. 13.If 5x + 14 = 3x + 38, what is x? (a) 26 (b) 13 (c) 3 (d) 12
  14. 14.If 5x + 1 = 41, what is x? (a) 40 (b) 8 (c) 7 (d) 9
  15. 15.If x/4 + 11 = 14, what is x? (a) 12 (b) 45 (c) 100 (d) 3
  16. 16.If 4x + 18 = x + 48, what is x? (a) 6 (b) 10 (c) 22 (d) 11
  17. 17.If 8x − 68 = 44, what is x? (a) 15 (b) 14 (c) 13 (d) 112
  18. 18.If 8x + 2 = 3x + 17, what is x? (a) 2 (b) 4 (c) 5 (d) 3
  19. 19.If 9x − 23 = 22, what is x? (a) 5 (b) 45 (c) 6 (d) 4
  20. 20.If 6x + 14 = 3x + 26, what is x? (a) 5 (b) 3 (c) 6 (d) 4
  21. 21.If 4x + 15 = 2x + 27, what is x? (a) 6 (b) 2 (c) 7 (d) 21
  22. 22.If x/2 + 7 = 13, what is x? (a) 40 (b) 6 (c) 19 (d) 12
  23. 23.If 8x − 24 = 16, what is x? (a) 40 (b) 5 (c) 6 (d) 4
  24. 24.If x/2 + 3 = 5, what is x? (a) 4 (b) 7 (c) 16 (d) 2
  25. 25.If 9x − 20 = 7, what is x? (a) 27 (b) 2 (c) 3 (d) 4
  26. 26.If x/3 + 10 = 21, what is x? (a) 11 (b) 33 (c) 53 (d) 93
  27. 27.If 6x + 15 = 27, what is x? (a) 12 (b) 7 (c) 2 (d) 3
  28. 28.If x/6 + 15 = 17, what is x? (a) 192 (b) 2 (c) 87 (d) 12
  29. 29.If 2x + 15 = 21, what is x? (a) 4 (b) 3 (c) 6 (d) 18
  30. 30.If 9x − 44 = 19, what is x? (a) 8 (b) 7 (c) 6 (d) 63
  31. 31.If 4x − 4 = 12, what is x? (a) 16 (b) 4 (c) 5 (d) 2
  32. 32.If x/4 + 12 = 16, what is x? (a) 4 (b) 52 (c) 112 (d) 16
  33. 33.If x/5 + 14 = 16, what is x? (a) 10 (b) 2 (c) 150 (d) 66
  34. 34.If 5x − 73 = 2, what is x? (a) 14 (b) 75 (c) 15 (d) 16
  35. 35.If 7x − 8 = 13, what is x? (a) 2 (b) 4 (c) 21 (d) 3
  36. 36.If 6x + 25 = 115, what is x? (a) 15 (b) 14 (c) 16 (d) 90
  37. 37.If 2x − 1 = 15, what is x? (a) 7 (b) 8 (c) 9 (d) 16
  38. 38.If 6x + 26 = 92, what is x? (a) 12 (b) 66 (c) 10 (d) 11
  39. 39.If 7x − 28 = 77, what is x? (a) 105 (b) 16 (c) 15 (d) 7
  40. 40.If 8x − 42 = 46, what is x? (a) 10 (b) 88 (c) 12 (d) 11

Answer key

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

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