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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 295 · 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 + 15 = 7x + 21, what is x? (a) 7 (b) 6 (c) 8 (d) 36
  2. 2.If 4x + 18 = 2x + 40, what is x? (a) 13 (b) 29 (c) 12 (d) 11
  3. 3.If 6x + 12 = x + 17, what is x? (a) 1 (b) 2 (c) 4 (d) 3
  4. 4.If 5x + 27 = 37, what is x? (a) 2 (b) 10 (c) 1 (d) 3
  5. 5.If 4x − 38 = 2, what is x? (a) 9 (b) 10 (c) 11 (d) 40
  6. 6.If 6x + 24 = 54, what is x? (a) 30 (b) 13 (c) 6 (d) 5
  7. 7.If 4x + 9 = x + 36, what is x? (a) 15 (b) 9 (c) 10 (d) 11
  8. 8.If x/6 + 10 = 15, what is x? (a) 150 (b) 5 (c) 80 (d) 30
  9. 9.If 9x − 24 = 3, what is x? (a) 4 (b) 3 (c) 2 (d) 27
  10. 10.If 6x + 6 = 2x + 34, what is x? (a) 7 (b) 9 (c) 10 (d) 8
  11. 11.If 7x + 4 = 81, what is x? (a) 77 (b) 12 (c) 11 (d) 10
  12. 12.If 7x + 8 = 5x + 18, what is x? (a) 7 (b) 6 (c) 13 (d) 5
  13. 13.If 2x − 10 = 2, what is x? (a) 7 (b) 12 (c) 6 (d) 5
  14. 14.If 6x + 3 = 33, what is x? (a) 30 (b) 4 (c) 6 (d) 5
  15. 15.If x/5 + 1 = 13, what is x? (a) 64 (b) 70 (c) 60 (d) 12
  16. 16.If x/6 + 15 = 26, what is x? (a) 246 (b) 141 (c) 66 (d) 11
  17. 17.If 4x − 23 = 9, what is x? (a) 9 (b) 8 (c) 7 (d) 32
  18. 18.If 8x − 76 = 4, what is x? (a) 11 (b) 80 (c) 9 (d) 10
  19. 19.If x/5 + 1 = 11, what is x? (a) 50 (b) 10 (c) 60 (d) 54
  20. 20.If x/6 + 7 = 16, what is x? (a) 9 (b) 89 (c) 54 (d) 138
  21. 21.If 5x + 8 = x + 56, what is x? (a) 13 (b) 12 (c) 8 (d) 16
  22. 22.If x/6 + 8 = 14, what is x? (a) 6 (b) 76 (c) 36 (d) 132
  23. 23.If x/5 + 3 = 13, what is x? (a) 62 (b) 50 (c) 80 (d) 10
  24. 24.If 3x + 1 = 37, what is x? (a) 11 (b) 36 (c) 12 (d) 13
  25. 25.If 9x − 57 = 33, what is x? (a) 9 (b) 11 (c) 10 (d) 90
  26. 26.If 3x + 9 = 2x + 12, what is x? (a) 5 (b) 21 (c) 3 (d) 4
  27. 27.If 9x + 10 = 6x + 37, what is x? (a) 10 (b) 11 (c) 8 (d) 9
  28. 28.If 9x + 26 = 71, what is x? (a) 6 (b) 5 (c) 4 (d) 45
  29. 29.If x/6 + 3 = 9, what is x? (a) 6 (b) 36 (c) 72 (d) 51
  30. 30.If 4x + 11 = 19, what is x? (a) 8 (b) 2 (c) 3 (d) 1
  31. 31.If 8x + 30 = 62, what is x? (a) 5 (b) 3 (c) 4 (d) 32
  32. 32.If x/5 + 5 = 8, what is x? (a) 65 (b) 35 (c) 3 (d) 15
  33. 33.If 3x − 3 = 21, what is x? (a) 6 (b) 24 (c) 8 (d) 9
  34. 34.If x/3 + 4 = 12, what is x? (a) 48 (b) 8 (c) 32 (d) 24
  35. 35.If 2x − 2 = 10, what is x? (a) 4 (b) 7 (c) 12 (d) 6
  36. 36.If 9x + 22 = 40, what is x? (a) 3 (b) 1 (c) 2 (d) 18
  37. 37.If 4x + 6 = 46, what is x? (a) 13 (b) 11 (c) 10 (d) 40
  38. 38.If 8x + 26 = 42, what is x? (a) 3 (b) 2 (c) 16 (d) 1
  39. 39.If 5x + 23 = 83, what is x? (a) 12 (b) 13 (c) 60 (d) 11
  40. 40.If 9x + 14 = 2x + 84, what is x? (a) 11 (b) 10 (c) 14 (d) 12

Answer key

  1. 6
  2. 11
  3. 1
  4. 2
  5. 10
  6. 5
  7. 9
  8. 30
  9. 3
  10. 7
  11. 11
  12. 5
  13. 6
  14. 5
  15. 60
  16. 66
  17. 8
  18. 10
  19. 50
  20. 54
  21. 12
  22. 36
  23. 50
  24. 12
  25. 10
  26. 3
  27. 9
  28. 5
  29. 36
  30. 2
  31. 4
  32. 15
  33. 8
  34. 24
  35. 6
  36. 2
  37. 10
  38. 2
  39. 12
  40. 10

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