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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 987 · 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 + 5 = 61, what is x? (a) 56 (b) 7 (c) 8 (d) 6
  2. 2.If x/3 + 8 = 12, what is x? (a) 60 (b) 4 (c) 12 (d) 28
  3. 3.If 3x − 20 = 19, what is x? (a) 13 (b) 14 (c) 12 (d) 39
  4. 4.If 3x + 20 = x + 32, what is x? (a) 26 (b) 3 (c) 7 (d) 6
  5. 5.If 4x − 7 = 45, what is x? (a) 14 (b) 52 (c) 12 (d) 13
  6. 6.If x/4 + 1 = 6, what is x? (a) 28 (b) 23 (c) 5 (d) 20
  7. 7.If 6x + 4 = x + 24, what is x? (a) 5 (b) 3 (c) 6 (d) 4
  8. 8.If x/6 + 8 = 17, what is x? (a) 150 (b) 9 (c) 54 (d) 94
  9. 9.If 8x + 11 = 123, what is x? (a) 13 (b) 112 (c) 14 (d) 15
  10. 10.If 7x + 12 = 40, what is x? (a) 3 (b) 4 (c) 5 (d) 28
  11. 11.If 8x − 22 = 98, what is x? (a) 120 (b) 16 (c) 15 (d) 14
  12. 12.If x/2 + 15 = 24, what is x? (a) 9 (b) 33 (c) 18 (d) 78
  13. 13.If x/2 + 3 = 10, what is x? (a) 17 (b) 7 (c) 14 (d) 26
  14. 14.If 7x + 20 = 83, what is x? (a) 10 (b) 9 (c) 8 (d) 63
  15. 15.If 5x + 23 = 33, what is x? (a) 3 (b) 10 (c) 2 (d) 1
  16. 16.If 5x + 12 = 32, what is x? (a) 20 (b) 3 (c) 5 (d) 4
  17. 17.If 6x + 11 = 3x + 26, what is x? (a) 4 (b) 6 (c) 7 (d) 5
  18. 18.If 7x − 103 = 2, what is x? (a) 15 (b) 16 (c) 14 (d) 105
  19. 19.If 9x − 114 = 3, what is x? (a) 14 (b) 117 (c) 12 (d) 13
  20. 20.If 2x + 11 = 33, what is x? (a) 10 (b) 12 (c) 22 (d) 11
  21. 21.If 3x + 9 = x + 13, what is x? (a) 3 (b) 1 (c) 2 (d) 11
  22. 22.If 3x + 4 = x + 22, what is x? (a) 9 (b) 10 (c) 13 (d) 11
  23. 23.If 6x + 6 = 2x + 42, what is x? (a) 11 (b) 10 (c) 12 (d) 9
  24. 24.If 5x + 13 = 2x + 31, what is x? (a) 7 (b) 5 (c) 8 (d) 6
  25. 25.If 8x − 85 = 35, what is x? (a) 15 (b) 120 (c) 14 (d) 16
  26. 26.If 4x − 8 = 4, what is x? (a) 2 (b) 3 (c) 4 (d) 12
  27. 27.If 2x + 17 = 45, what is x? (a) 31 (b) 15 (c) 14 (d) 28
  28. 28.If 4x + 3 = 27, what is x? (a) 6 (b) 7 (c) 5 (d) 24
  29. 29.If 3x + 4 = 10, what is x? (a) 2 (b) 1 (c) 3 (d) 6
  30. 30.If x/5 + 6 = 13, what is x? (a) 7 (b) 35 (c) 59 (d) 95
  31. 31.If 7x + 15 = 5x + 19, what is x? (a) 17 (b) 3 (c) 4 (d) 2
  32. 32.If 6x + 2 = x + 37, what is x? (a) 5 (b) 8 (c) 7 (d) 9
  33. 33.If 7x + 28 = 63, what is x? (a) 13 (b) 35 (c) 5 (d) 6
  34. 34.If 6x − 9 = 45, what is x? (a) 6 (b) 9 (c) 10 (d) 54
  35. 35.If 8x + 8 = 7x + 12, what is x? (a) 6 (b) 4 (c) 5 (d) 20
  36. 36.If x/4 + 1 = 11, what is x? (a) 43 (b) 10 (c) 40 (d) 48
  37. 37.If 7x + 16 = 121, what is x? (a) 105 (b) 14 (c) 16 (d) 15
  38. 38.If 5x − 5 = 40, what is x? (a) 45 (b) 7 (c) 10 (d) 9
  39. 39.If 5x + 5 = 3x + 9, what is x? (a) 2 (b) 4 (c) 3 (d) 7
  40. 40.If 4x + 20 = 28, what is x? (a) 12 (b) 8 (c) 2 (d) 3

Answer key

  1. 7
  2. 12
  3. 13
  4. 6
  5. 13
  6. 20
  7. 4
  8. 54
  9. 14
  10. 4
  11. 15
  12. 18
  13. 14
  14. 9
  15. 2
  16. 4
  17. 5
  18. 15
  19. 13
  20. 11
  21. 2
  22. 9
  23. 9
  24. 6
  25. 15
  26. 3
  27. 14
  28. 6
  29. 2
  30. 35
  31. 2
  32. 7
  33. 5
  34. 9
  35. 4
  36. 40
  37. 15
  38. 9
  39. 2
  40. 2

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