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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 972 · 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 x/4 + 13 = 22, what is x? (a) 140 (b) 36 (c) 75 (d) 9
  2. 2.If 8x + 12 = 2x + 60, what is x? (a) 12 (b) 8 (c) 9 (d) 10
  3. 3.If 5x + 14 = 59, what is x? (a) 9 (b) 10 (c) 8 (d) 45
  4. 4.If 6x + 7 = 61, what is x? (a) 9 (b) 8 (c) 10 (d) 54
  5. 5.If 5x + 3 = 63, what is x? (a) 12 (b) 11 (c) 13 (d) 60
  6. 6.If 4x + 19 = 2x + 27, what is x? (a) 23 (b) 6 (c) 4 (d) 5
  7. 7.If x/3 + 10 = 17, what is x? (a) 21 (b) 7 (c) 81 (d) 41
  8. 8.If 4x + 4 = x + 7, what is x? (a) 3 (b) 1 (c) 4 (d) 2
  9. 9.If 4x + 18 = 2x + 36, what is x? (a) 10 (b) 3 (c) 9 (d) 27
  10. 10.If x/4 + 8 = 12, what is x? (a) 40 (b) 4 (c) 80 (d) 16
  11. 11.If 3x + 1 = 16, what is x? (a) 15 (b) 6 (c) 4 (d) 5
  12. 12.If 3x − 10 = 29, what is x? (a) 39 (b) 12 (c) 13 (d) 14
  13. 13.If x/6 + 15 = 21, what is x? (a) 216 (b) 111 (c) 6 (d) 36
  14. 14.If x/5 + 8 = 14, what is x? (a) 6 (b) 110 (c) 62 (d) 30
  15. 15.If 5x + 24 = 89, what is x? (a) 65 (b) 14 (c) 12 (d) 13
  16. 16.If 4x + 9 = 3x + 14, what is x? (a) 5 (b) 7 (c) 6 (d) 23
  17. 17.If 6x − 13 = 35, what is x? (a) 7 (b) 48 (c) 9 (d) 8
  18. 18.If x/5 + 5 = 7, what is x? (a) 10 (b) 30 (c) 60 (d) 2
  19. 19.If x/2 + 7 = 18, what is x? (a) 50 (b) 11 (c) 29 (d) 22
  20. 20.If x/6 + 6 = 9, what is x? (a) 48 (b) 90 (c) 18 (d) 3
  21. 21.If 7x + 18 = 81, what is x? (a) 8 (b) 9 (c) 10 (d) 63
  22. 22.If 9x + 19 = 91, what is x? (a) 8 (b) 9 (c) 7 (d) 72
  23. 23.If 7x − 34 = 8, what is x? (a) 7 (b) 5 (c) 42 (d) 6
  24. 24.If x/2 + 13 = 19, what is x? (a) 64 (b) 25 (c) 6 (d) 12
  25. 25.If 2x − 8 = 10, what is x? (a) 18 (b) 1 (c) 9 (d) 10
  26. 26.If 3x + 11 = 26, what is x? (a) 4 (b) 15 (c) 5 (d) 6
  27. 27.If 9x + 8 = x + 32, what is x? (a) 5 (b) 2 (c) 4 (d) 3
  28. 28.If 7x + 15 = 36, what is x? (a) 4 (b) 3 (c) 21 (d) 2
  29. 29.If 6x + 6 = 5x + 17, what is x? (a) 12 (b) 1 (c) 11 (d) 23
  30. 30.If 4x + 13 = 2x + 35, what is x? (a) 12 (b) 11 (c) 24 (d) 13
  31. 31.If 3x + 3 = 12, what is x? (a) 9 (b) 5 (c) 4 (d) 3
  32. 32.If 4x − 23 = 1, what is x? (a) 6 (b) 7 (c) 24 (d) 5
  33. 33.If 8x − 89 = 7, what is x? (a) 11 (b) 13 (c) 12 (d) 96
  34. 34.If 9x − 110 = 7, what is x? (a) 117 (b) 14 (c) 13 (d) 12
  35. 35.If 8x + 12 = 2x + 78, what is x? (a) 11 (b) 12 (c) 15 (d) 13
  36. 36.If 7x + 3 = 6x + 7, what is x? (a) 6 (b) 10 (c) 4 (d) 5
  37. 37.If 8x + 17 = 97, what is x? (a) 9 (b) 10 (c) 11 (d) 80
  38. 38.If 3x + 2 = 26, what is x? (a) 8 (b) 7 (c) 24 (d) 9
  39. 39.If 5x + 9 = 4x + 19, what is x? (a) 28 (b) 12 (c) 10 (d) 11
  40. 40.If x/4 + 14 = 16, what is x? (a) 8 (b) 2 (c) 120 (d) 50

Answer key

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

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