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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 419 · 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 7x + 15 = 29, what is x? (a) 1 (b) 2 (c) 3 (d) 14
  2. 2.If 7x + 15 = 5x + 17, what is x? (a) 1 (b) 16 (c) 2 (d) 3
  3. 3.If 7x + 17 = 59, what is x? (a) 6 (b) 42 (c) 7 (d) 5
  4. 4.If 2x + 6 = 14, what is x? (a) 5 (b) 4 (c) 8 (d) 10
  5. 5.If x/2 + 9 = 12, what is x? (a) 3 (b) 6 (c) 15 (d) 42
  6. 6.If 6x − 16 = 56, what is x? (a) 12 (b) 13 (c) 72 (d) 11
  7. 7.If 5x + 9 = 54, what is x? (a) 8 (b) 9 (c) 10 (d) 45
  8. 8.If 9x + 19 = 8x + 20, what is x? (a) 2 (b) 39 (c) 3 (d) 1
  9. 9.If 4x + 18 = x + 45, what is x? (a) 11 (b) 10 (c) 9 (d) 21
  10. 10.If 3x − 1 = 20, what is x? (a) 6 (b) 7 (c) 8 (d) 21
  11. 11.If x/3 + 11 = 21, what is x? (a) 10 (b) 96 (c) 30 (d) 52
  12. 12.If 5x + 10 = 4x + 16, what is x? (a) 26 (b) 7 (c) 8 (d) 6
  13. 13.If x/6 + 4 = 12, what is x? (a) 8 (b) 48 (c) 96 (d) 68
  14. 14.If 9x + 7 = 115, what is x? (a) 108 (b) 11 (c) 13 (d) 12
  15. 15.If 3x + 13 = x + 35, what is x? (a) 11 (b) 13 (c) 12 (d) 24
  16. 16.If 7x + 5 = 3x + 41, what is x? (a) 8 (b) 9 (c) 11 (d) 10
  17. 17.If 3x + 4 = 37, what is x? (a) 10 (b) 11 (c) 12 (d) 33
  18. 18.If 3x + 9 = x + 13, what is x? (a) 1 (b) 3 (c) 2 (d) 11
  19. 19.If 2x − 5 = 1, what is x? (a) 2 (b) 3 (c) 4 (d) 6
  20. 20.If 3x + 8 = 14, what is x? (a) 3 (b) 1 (c) 2 (d) 6
  21. 21.If 4x + 17 = x + 26, what is x? (a) 3 (b) 4 (c) 2 (d) 5
  22. 22.If 6x + 3 = 4x + 19, what is x? (a) 8 (b) 10 (c) 9 (d) 11
  23. 23.If x/3 + 7 = 14, what is x? (a) 35 (b) 21 (c) 63 (d) 7
  24. 24.If 7x − 76 = 15, what is x? (a) 13 (b) 12 (c) 91 (d) 14
  25. 25.If 4x + 4 = 3x + 8, what is x? (a) 4 (b) 12 (c) 6 (d) 5
  26. 26.If 7x + 11 = 3x + 19, what is x? (a) 1 (b) 2 (c) 4 (d) 3
  27. 27.If 8x − 19 = 21, what is x? (a) 5 (b) 6 (c) 4 (d) 40
  28. 28.If 4x + 9 = 69, what is x? (a) 14 (b) 15 (c) 16 (d) 60
  29. 29.If 6x − 8 = 16, what is x? (a) 5 (b) 3 (c) 24 (d) 4
  30. 30.If x/6 + 5 = 8, what is x? (a) 18 (b) 3 (c) 43 (d) 78
  31. 31.If 2x + 12 = 24, what is x? (a) 7 (b) 6 (c) 12 (d) 18
  32. 32.If 6x + 16 = x + 71, what is x? (a) 12 (b) 13 (c) 10 (d) 11
  33. 33.If 3x + 15 = 2x + 23, what is x? (a) 10 (b) 8 (c) 38 (d) 9
  34. 34.If 4x + 4 = 12, what is x? (a) 2 (b) 3 (c) 4 (d) 8
  35. 35.If x/2 + 6 = 13, what is x? (a) 20 (b) 14 (c) 38 (d) 7
  36. 36.If 2x + 1 = 13, what is x? (a) 12 (b) 7 (c) 6 (d) 5
  37. 37.If x/3 + 9 = 11, what is x? (a) 60 (b) 24 (c) 2 (d) 6
  38. 38.If 3x − 11 = 1, what is x? (a) 4 (b) 12 (c) 5 (d) 3
  39. 39.If 3x − 11 = 19, what is x? (a) 30 (b) 10 (c) 11 (d) 9
  40. 40.If 2x + 18 = 30, what is x? (a) 24 (b) 7 (c) 12 (d) 6

Answer key

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

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