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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 274 · 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 + 6 = 2x + 66, what is x? (a) 6 (b) 10 (c) 11 (d) 12
  2. 2.If 9x + 28 = 100, what is x? (a) 72 (b) 7 (c) 9 (d) 8
  3. 3.If 3x + 7 = 49, what is x? (a) 14 (b) 13 (c) 15 (d) 42
  4. 4.If 5x + 10 = 3x + 18, what is x? (a) 4 (b) 1 (c) 14 (d) 5
  5. 5.If 8x + 1 = 121, what is x? (a) 14 (b) 16 (c) 120 (d) 15
  6. 6.If 5x + 28 = 43, what is x? (a) 2 (b) 3 (c) 15 (d) 4
  7. 7.If 7x + 28 = 119, what is x? (a) 14 (b) 91 (c) 13 (d) 21
  8. 8.If 6x − 9 = 33, what is x? (a) 42 (b) 4 (c) 8 (d) 7
  9. 9.If 5x + 18 = 2x + 45, what is x? (a) 10 (b) 21 (c) 11 (d) 9
  10. 10.If 9x − 129 = 6, what is x? (a) 135 (b) 15 (c) 16 (d) 14
  11. 11.If 3x + 15 = 60, what is x? (a) 15 (b) 25 (c) 45 (d) 16
  12. 12.If 7x + 4 = 46, what is x? (a) 42 (b) 5 (c) 6 (d) 7
  13. 13.If 3x + 17 = 59, what is x? (a) 42 (b) 14 (c) 13 (d) 15
  14. 14.If 5x + 5 = 2x + 14, what is x? (a) 5 (b) 4 (c) 2 (d) 3
  15. 15.If 7x + 14 = 28, what is x? (a) 3 (b) 2 (c) 14 (d) 6
  16. 16.If 3x + 7 = 19, what is x? (a) 4 (b) 12 (c) 5 (d) 3
  17. 17.If x/3 + 2 = 4, what is x? (a) 10 (b) 6 (c) 2 (d) 18
  18. 18.If x/6 + 14 = 20, what is x? (a) 106 (b) 204 (c) 36 (d) 6
  19. 19.If 3x − 6 = 3, what is x? (a) 2 (b) 3 (c) 4 (d) 9
  20. 20.If 7x + 26 = 40, what is x? (a) 1 (b) 3 (c) 14 (d) 2
  21. 21.If 7x + 2 = 6x + 14, what is x? (a) 14 (b) 16 (c) 12 (d) 13
  22. 22.If 4x + 6 = 50, what is x? (a) 44 (b) 12 (c) 11 (d) 14
  23. 23.If 6x + 7 = 19, what is x? (a) 2 (b) 3 (c) 12 (d) 1
  24. 24.If 8x + 1 = 4x + 17, what is x? (a) 6 (b) 5 (c) 3 (d) 4
  25. 25.If 9x + 20 = 2x + 69, what is x? (a) 8 (b) 9 (c) 7 (d) 6
  26. 26.If 5x + 7 = 82, what is x? (a) 15 (b) 14 (c) 75 (d) 16
  27. 27.If 3x + 19 = x + 21, what is x? (a) 20 (b) 3 (c) 2 (d) 1
  28. 28.If x/5 + 9 = 21, what is x? (a) 150 (b) 12 (c) 60 (d) 96
  29. 29.If 3x − 12 = 12, what is x? (a) 9 (b) 8 (c) 7 (d) 24
  30. 30.If 7x − 57 = 13, what is x? (a) 11 (b) 9 (c) 70 (d) 10
  31. 31.If x/5 + 12 = 16, what is x? (a) 140 (b) 20 (c) 4 (d) 68
  32. 32.If 2x − 3 = 5, what is x? (a) 5 (b) 8 (c) 1 (d) 4
  33. 33.If 7x + 3 = 38, what is x? (a) 4 (b) 35 (c) 6 (d) 5
  34. 34.If 3x − 7 = 5, what is x? (a) 3 (b) 12 (c) 4 (d) 5
  35. 35.If 3x + 22 = 40, what is x? (a) 18 (b) 7 (c) 5 (d) 6
  36. 36.If x/4 + 13 = 25, what is x? (a) 87 (b) 152 (c) 12 (d) 48
  37. 37.If 3x + 5 = x + 25, what is x? (a) 15 (b) 11 (c) 10 (d) 5
  38. 38.If x/6 + 3 = 12, what is x? (a) 90 (b) 54 (c) 9 (d) 69
  39. 39.If 6x + 5 = x + 55, what is x? (a) 10 (b) 12 (c) 11 (d) 9
  40. 40.If 2x + 3 = 11, what is x? (a) 8 (b) 5 (c) 7 (d) 4

Answer key

  1. 10
  2. 8
  3. 14
  4. 4
  5. 15
  6. 3
  7. 13
  8. 7
  9. 9
  10. 15
  11. 15
  12. 6
  13. 14
  14. 3
  15. 2
  16. 4
  17. 6
  18. 36
  19. 3
  20. 2
  21. 12
  22. 11
  23. 2
  24. 4
  25. 7
  26. 15
  27. 1
  28. 60
  29. 8
  30. 10
  31. 20
  32. 4
  33. 5
  34. 4
  35. 6
  36. 48
  37. 10
  38. 54
  39. 10
  40. 4

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