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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 461 · 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 4x + 11 = 2x + 19, what is x? (a) 4 (b) 5 (c) 6 (d) 15
  2. 2.If 6x + 12 = 90, what is x? (a) 78 (b) 13 (c) 14 (d) 17
  3. 3.If 2x + 19 = 25, what is x? (a) 22 (b) 3 (c) 6 (d) 4
  4. 4.If x/6 + 7 = 19, what is x? (a) 156 (b) 107 (c) 12 (d) 72
  5. 5.If 7x + 28 = 42, what is x? (a) 2 (b) 3 (c) 10 (d) 14
  6. 6.If 8x + 7 = 23, what is x? (a) 1 (b) 16 (c) 2 (d) 3
  7. 7.If 7x − 27 = 22, what is x? (a) 6 (b) 8 (c) 7 (d) 49
  8. 8.If 7x + 17 = 45, what is x? (a) 28 (b) 4 (c) 5 (d) 3
  9. 9.If 8x − 47 = 33, what is x? (a) 11 (b) 80 (c) 10 (d) 9
  10. 10.If 9x + 7 = 70, what is x? (a) 63 (b) 8 (c) 6 (d) 7
  11. 11.If 2x + 8 = 32, what is x? (a) 13 (b) 24 (c) 12 (d) 20
  12. 12.If 7x + 20 = 41, what is x? (a) 3 (b) 21 (c) 4 (d) 2
  13. 13.If 6x + 28 = 58, what is x? (a) 5 (b) 6 (c) 4 (d) 30
  14. 14.If 8x + 7 = 2x + 43, what is x? (a) 6 (b) 8 (c) 5 (d) 7
  15. 15.If x/2 + 4 = 10, what is x? (a) 12 (b) 6 (c) 16 (d) 28
  16. 16.If x/2 + 12 = 23, what is x? (a) 22 (b) 11 (c) 70 (d) 34
  17. 17.If 5x − 1 = 39, what is x? (a) 8 (b) 9 (c) 7 (d) 40
  18. 18.If 6x + 17 = 77, what is x? (a) 11 (b) 60 (c) 10 (d) 9
  19. 19.If 9x + 19 = 82, what is x? (a) 6 (b) 63 (c) 8 (d) 7
  20. 20.If 4x + 20 = 56, what is x? (a) 36 (b) 19 (c) 10 (d) 9
  21. 21.If 7x − 32 = 10, what is x? (a) 5 (b) 42 (c) 7 (d) 6
  22. 22.If 2x − 9 = 13, what is x? (a) 2 (b) 11 (c) 22 (d) 12
  23. 23.If 9x + 3 = 75, what is x? (a) 7 (b) 72 (c) 9 (d) 8
  24. 24.If 4x + 19 = 51, what is x? (a) 9 (b) 7 (c) 8 (d) 32
  25. 25.If 4x + 1 = 9, what is x? (a) 8 (b) 1 (c) 2 (d) 3
  26. 26.If 9x + 19 = 7x + 41, what is x? (a) 11 (b) 12 (c) 30 (d) 13
  27. 27.If 7x + 16 = 2x + 71, what is x? (a) 12 (b) 11 (c) 13 (d) 10
  28. 28.If x/6 + 2 = 7, what is x? (a) 54 (b) 40 (c) 5 (d) 30
  29. 29.If x/6 + 10 = 12, what is x? (a) 12 (b) 2 (c) 132 (d) 62
  30. 30.If x/3 + 4 = 14, what is x? (a) 10 (b) 38 (c) 54 (d) 30
  31. 31.If 9x + 6 = 51, what is x? (a) 45 (b) 5 (c) 6 (d) 4
  32. 32.If 7x − 32 = 52, what is x? (a) 13 (b) 84 (c) 12 (d) 11
  33. 33.If 7x + 1 = 106, what is x? (a) 105 (b) 14 (c) 15 (d) 16
  34. 34.If 7x − 3 = 46, what is x? (a) 49 (b) 8 (c) 7 (d) 6
  35. 35.If 4x − 36 = 4, what is x? (a) 9 (b) 40 (c) 11 (d) 10
  36. 36.If 2x + 17 = 33, what is x? (a) 25 (b) 8 (c) 16 (d) 9
  37. 37.If 4x + 10 = 34, what is x? (a) 11 (b) 7 (c) 24 (d) 6
  38. 38.If x/3 + 2 = 6, what is x? (a) 16 (b) 24 (c) 4 (d) 12
  39. 39.If 5x + 10 = 4x + 19, what is x? (a) 10 (b) 1 (c) 9 (d) 29
  40. 40.If 9x + 4 = 8x + 13, what is x? (a) 9 (b) 10 (c) 11 (d) 17

Answer key

  1. 4
  2. 13
  3. 3
  4. 72
  5. 2
  6. 2
  7. 7
  8. 4
  9. 10
  10. 7
  11. 12
  12. 3
  13. 5
  14. 6
  15. 12
  16. 22
  17. 8
  18. 10
  19. 7
  20. 9
  21. 6
  22. 11
  23. 8
  24. 8
  25. 2
  26. 11
  27. 11
  28. 30
  29. 12
  30. 30
  31. 5
  32. 12
  33. 15
  34. 7
  35. 10
  36. 8
  37. 6
  38. 12
  39. 9
  40. 9

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