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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 347 · 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 + 28 = 67, what is x? (a) 12 (b) 13 (c) 39 (d) 14
  2. 2.If 4x + 27 = 79, what is x? (a) 13 (b) 12 (c) 14 (d) 52
  3. 3.If 4x + 4 = 2x + 10, what is x? (a) 1 (b) 3 (c) 7 (d) 4
  4. 4.If 3x + 8 = 41, what is x? (a) 11 (b) 12 (c) 10 (d) 33
  5. 5.If 5x + 18 = 3x + 22, what is x? (a) 4 (b) 3 (c) 2 (d) 20
  6. 6.If 6x + 7 = 55, what is x? (a) 48 (b) 7 (c) 9 (d) 8
  7. 7.If 7x + 15 = 120, what is x? (a) 105 (b) 16 (c) 14 (d) 15
  8. 8.If 7x + 19 = 6x + 21, what is x? (a) 40 (b) 3 (c) 4 (d) 2
  9. 9.If 3x + 10 = x + 14, what is x? (a) 2 (b) 1 (c) 12 (d) 3
  10. 10.If 2x − 7 = 1, what is x? (a) 5 (b) 8 (c) 4 (d) 3
  11. 11.If 4x + 26 = 58, what is x? (a) 32 (b) 9 (c) 8 (d) 21
  12. 12.If 4x + 3 = 3x + 5, what is x? (a) 2 (b) 4 (c) 8 (d) 3
  13. 13.If x/2 + 1 = 6, what is x? (a) 5 (b) 10 (c) 14 (d) 11
  14. 14.If 4x + 20 = 2x + 30, what is x? (a) 6 (b) 25 (c) 7 (d) 5
  15. 15.If 9x − 53 = 37, what is x? (a) 90 (b) 11 (c) 9 (d) 10
  16. 16.If 2x + 21 = 41, what is x? (a) 31 (b) 20 (c) 10 (d) 11
  17. 17.If 6x − 7 = 23, what is x? (a) 6 (b) 5 (c) 4 (d) 30
  18. 18.If 7x + 27 = 48, what is x? (a) 3 (b) 2 (c) 21 (d) 4
  19. 19.If x/5 + 2 = 12, what is x? (a) 50 (b) 10 (c) 58 (d) 70
  20. 20.If 5x − 24 = 16, what is x? (a) 9 (b) 40 (c) 8 (d) 7
  21. 21.If 5x − 6 = 39, what is x? (a) 9 (b) 8 (c) 10 (d) 45
  22. 22.If 6x − 1 = 53, what is x? (a) 9 (b) 8 (c) 54 (d) 10
  23. 23.If 5x − 4 = 11, what is x? (a) 15 (b) 4 (c) 2 (d) 3
  24. 24.If 8x + 3 = 4x + 11, what is x? (a) 3 (b) 4 (c) 2 (d) 1
  25. 25.If 7x + 22 = 57, what is x? (a) 6 (b) 35 (c) 5 (d) 4
  26. 26.If 9x − 75 = 51, what is x? (a) 15 (b) 126 (c) 14 (d) 13
  27. 27.If 4x + 12 = x + 18, what is x? (a) 10 (b) 4 (c) 3 (d) 2
  28. 28.If 3x − 7 = 2, what is x? (a) 3 (b) 2 (c) 9 (d) 4
  29. 29.If 2x − 18 = 10, what is x? (a) 15 (b) 13 (c) 14 (d) 28
  30. 30.If 2x − 3 = 3, what is x? (a) 6 (b) 2 (c) 4 (d) 3
  31. 31.If x/4 + 10 = 19, what is x? (a) 9 (b) 66 (c) 116 (d) 36
  32. 32.If 5x + 15 = 60, what is x? (a) 10 (b) 45 (c) 9 (d) 15
  33. 33.If 8x + 9 = 81, what is x? (a) 10 (b) 72 (c) 9 (d) 8
  34. 34.If 8x + 4 = 76, what is x? (a) 9 (b) 10 (c) 8 (d) 72
  35. 35.If 9x + 15 = 123, what is x? (a) 11 (b) 13 (c) 12 (d) 108
  36. 36.If 7x + 10 = 52, what is x? (a) 6 (b) 42 (c) 7 (d) 5
  37. 37.If 4x + 13 = x + 22, what is x? (a) 2 (b) 4 (c) 5 (d) 3
  38. 38.If 8x + 11 = 6x + 27, what is x? (a) 9 (b) 19 (c) 10 (d) 8
  39. 39.If 3x − 5 = 1, what is x? (a) 3 (b) 2 (c) 1 (d) 6
  40. 40.If 6x + 5 = 5x + 16, what is x? (a) 1 (b) 21 (c) 12 (d) 11

Answer key

  1. 13
  2. 13
  3. 3
  4. 11
  5. 2
  6. 8
  7. 15
  8. 2
  9. 2
  10. 4
  11. 8
  12. 2
  13. 10
  14. 5
  15. 10
  16. 10
  17. 5
  18. 3
  19. 50
  20. 8
  21. 9
  22. 9
  23. 3
  24. 2
  25. 5
  26. 14
  27. 2
  28. 3
  29. 14
  30. 3
  31. 36
  32. 9
  33. 9
  34. 9
  35. 12
  36. 6
  37. 3
  38. 8
  39. 2
  40. 11

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