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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 252 · 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 − 32 = 80, what is x? (a) 6 (b) 112 (c) 15 (d) 14
  2. 2.If 8x + 14 = 3x + 69, what is x? (a) 5 (b) 12 (c) 13 (d) 11
  3. 3.If x/3 + 7 = 11, what is x? (a) 4 (b) 26 (c) 12 (d) 54
  4. 4.If 7x + 10 = 3x + 22, what is x? (a) 8 (b) 5 (c) 4 (d) 3
  5. 5.If 5x + 8 = 53, what is x? (a) 10 (b) 45 (c) 8 (d) 9
  6. 6.If x/5 + 6 = 10, what is x? (a) 4 (b) 20 (c) 80 (d) 44
  7. 7.If 9x + 27 = 99, what is x? (a) 72 (b) 14 (c) 8 (d) 9
  8. 8.If 5x − 9 = 1, what is x? (a) 10 (b) 3 (c) 1 (d) 2
  9. 9.If 7x + 14 = x + 86, what is x? (a) 12 (b) 14 (c) 9 (d) 13
  10. 10.If 5x − 2 = 13, what is x? (a) 3 (b) 4 (c) 15 (d) 2
  11. 11.If 2x − 4 = 12, what is x? (a) 4 (b) 8 (c) 16 (d) 9
  12. 12.If x/6 + 14 = 23, what is x? (a) 124 (b) 9 (c) 222 (d) 54
  13. 13.If 6x − 7 = 29, what is x? (a) 7 (b) 5 (c) 36 (d) 6
  14. 14.If 9x + 9 = 99, what is x? (a) 11 (b) 12 (c) 90 (d) 10
  15. 15.If 6x + 29 = 77, what is x? (a) 7 (b) 9 (c) 8 (d) 48
  16. 16.If 2x − 16 = 2, what is x? (a) 9 (b) 8 (c) 18 (d) 10
  17. 17.If 4x + 1 = x + 28, what is x? (a) 9 (b) 8 (c) 10 (d) 11
  18. 18.If 4x + 11 = 2x + 27, what is x? (a) 10 (b) 9 (c) 19 (d) 8
  19. 19.If 2x + 27 = 35, what is x? (a) 8 (b) 31 (c) 4 (d) 5
  20. 20.If 7x + 17 = 2x + 67, what is x? (a) 12 (b) 10 (c) 9 (d) 11
  21. 21.If 3x − 8 = 1, what is x? (a) 9 (b) 2 (c) 4 (d) 3
  22. 22.If 5x + 8 = 23, what is x? (a) 15 (b) 4 (c) 3 (d) 2
  23. 23.If 8x + 13 = 45, what is x? (a) 32 (b) 4 (c) 5 (d) 3
  24. 24.If 4x − 15 = 41, what is x? (a) 15 (b) 13 (c) 56 (d) 14
  25. 25.If 6x + 8 = x + 23, what is x? (a) 5 (b) 4 (c) 2 (d) 3
  26. 26.If 4x + 3 = 11, what is x? (a) 1 (b) 3 (c) 8 (d) 2
  27. 27.If x/3 + 5 = 7, what is x? (a) 2 (b) 16 (c) 36 (d) 6
  28. 28.If 9x + 14 = x + 70, what is x? (a) 6 (b) 7 (c) 8 (d) 9
  29. 29.If 8x + 3 = 4x + 7, what is x? (a) 2 (b) 3 (c) 1 (d) 4
  30. 30.If 3x + 5 = 23, what is x? (a) 5 (b) 7 (c) 6 (d) 18
  31. 31.If 3x − 10 = 20, what is x? (a) 30 (b) 9 (c) 11 (d) 10
  32. 32.If 2x + 2 = 26, what is x? (a) 13 (b) 24 (c) 12 (d) 14
  33. 33.If 3x + 9 = 2x + 15, what is x? (a) 24 (b) 7 (c) 6 (d) 8
  34. 34.If 6x + 14 = x + 24, what is x? (a) 4 (b) 1 (c) 2 (d) 3
  35. 35.If x/2 + 6 = 18, what is x? (a) 12 (b) 30 (c) 48 (d) 24
  36. 36.If 7x + 9 = 4x + 27, what is x? (a) 6 (b) 7 (c) 12 (d) 8
  37. 37.If 4x + 6 = 22, what is x? (a) 7 (b) 4 (c) 16 (d) 5
  38. 38.If 6x + 4 = 34, what is x? (a) 4 (b) 5 (c) 6 (d) 30
  39. 39.If 8x − 3 = 85, what is x? (a) 11 (b) 10 (c) 12 (d) 88
  40. 40.If x/4 + 8 = 14, what is x? (a) 6 (b) 88 (c) 24 (d) 48

Answer key

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

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