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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 895 · 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 + 7 = x + 15, what is x? (a) 11 (b) 2 (c) 5 (d) 4
  2. 2.If x/6 + 1 = 11, what is x? (a) 72 (b) 60 (c) 65 (d) 10
  3. 3.If 7x + 19 = 54, what is x? (a) 5 (b) 4 (c) 35 (d) 6
  4. 4.If 7x + 3 = 3x + 31, what is x? (a) 9 (b) 8 (c) 6 (d) 7
  5. 5.If x/2 + 6 = 13, what is x? (a) 38 (b) 14 (c) 7 (d) 20
  6. 6.If 3x + 20 = 2x + 31, what is x? (a) 13 (b) 51 (c) 12 (d) 11
  7. 7.If x/6 + 3 = 10, what is x? (a) 7 (b) 78 (c) 42 (d) 57
  8. 8.If 6x − 9 = 75, what is x? (a) 14 (b) 15 (c) 11 (d) 84
  9. 9.If 9x + 7 = 43, what is x? (a) 4 (b) 36 (c) 3 (d) 5
  10. 10.If 2x + 19 = 29, what is x? (a) 10 (b) 24 (c) 5 (d) 6
  11. 11.If 7x + 1 = 29, what is x? (a) 5 (b) 4 (c) 28 (d) 3
  12. 12.If x/5 + 1 = 6, what is x? (a) 35 (b) 25 (c) 29 (d) 5
  13. 13.If x/6 + 3 = 9, what is x? (a) 51 (b) 36 (c) 72 (d) 6
  14. 14.If 3x + 18 = x + 40, what is x? (a) 11 (b) 13 (c) 12 (d) 29
  15. 15.If x/5 + 6 = 11, what is x? (a) 85 (b) 25 (c) 5 (d) 49
  16. 16.If 7x + 17 = 2x + 57, what is x? (a) 8 (b) 7 (c) 9 (d) 10
  17. 17.If 7x + 23 = 51, what is x? (a) 3 (b) 28 (c) 5 (d) 4
  18. 18.If 8x + 6 = x + 76, what is x? (a) 9 (b) 12 (c) 10 (d) 11
  19. 19.If x/4 + 4 = 6, what is x? (a) 20 (b) 8 (c) 2 (d) 40
  20. 20.If x/2 + 14 = 22, what is x? (a) 72 (b) 8 (c) 30 (d) 16
  21. 21.If 4x + 28 = 60, what is x? (a) 9 (b) 8 (c) 22 (d) 32
  22. 22.If 7x − 21 = 14, what is x? (a) 5 (b) 4 (c) 35 (d) 6
  23. 23.If 5x + 3 = 68, what is x? (a) 12 (b) 14 (c) 13 (d) 65
  24. 24.If 8x + 28 = 140, what is x? (a) 21 (b) 14 (c) 15 (d) 112
  25. 25.If 3x + 22 = 28, what is x? (a) 2 (b) 6 (c) 3 (d) 1
  26. 26.If 2x + 15 = 25, what is x? (a) 10 (b) 6 (c) 20 (d) 5
  27. 27.If 9x + 6 = 78, what is x? (a) 8 (b) 9 (c) 72 (d) 7
  28. 28.If 4x + 5 = 2x + 25, what is x? (a) 15 (b) 12 (c) 11 (d) 10
  29. 29.If 4x + 27 = 39, what is x? (a) 4 (b) 2 (c) 12 (d) 3
  30. 30.If 2x + 8 = 12, what is x? (a) 4 (b) 10 (c) 2 (d) 3
  31. 31.If x/5 + 7 = 12, what is x? (a) 5 (b) 53 (c) 25 (d) 95
  32. 32.If 3x + 15 = 45, what is x? (a) 11 (b) 10 (c) 20 (d) 30
  33. 33.If 9x + 2 = 6x + 11, what is x? (a) 5 (b) 4 (c) 2 (d) 3
  34. 34.If 4x + 14 = 2x + 16, what is x? (a) 15 (b) 3 (c) 2 (d) 1
  35. 35.If 8x + 3 = 99, what is x? (a) 13 (b) 12 (c) 96 (d) 11
  36. 36.If x/2 + 5 = 9, what is x? (a) 13 (b) 8 (c) 28 (d) 4
  37. 37.If x/4 + 6 = 16, what is x? (a) 40 (b) 10 (c) 58 (d) 88
  38. 38.If x/6 + 4 = 7, what is x? (a) 66 (b) 3 (c) 38 (d) 18
  39. 39.If 3x + 20 = x + 42, what is x? (a) 31 (b) 13 (c) 12 (d) 11
  40. 40.If 5x − 31 = 9, what is x? (a) 40 (b) 9 (c) 7 (d) 8

Answer key

  1. 4
  2. 60
  3. 5
  4. 7
  5. 14
  6. 11
  7. 42
  8. 14
  9. 4
  10. 5
  11. 4
  12. 25
  13. 36
  14. 11
  15. 25
  16. 8
  17. 4
  18. 10
  19. 8
  20. 16
  21. 8
  22. 5
  23. 13
  24. 14
  25. 2
  26. 5
  27. 8
  28. 10
  29. 3
  30. 2
  31. 25
  32. 10
  33. 3
  34. 1
  35. 12
  36. 8
  37. 40
  38. 18
  39. 11
  40. 8

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