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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 979 · 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 2x + 13 = 41, what is x? (a) 15 (b) 28 (c) 14 (d) 27
  2. 2.If x/2 + 4 = 8, what is x? (a) 8 (b) 12 (c) 4 (d) 24
  3. 3.If 5x + 20 = 40, what is x? (a) 20 (b) 5 (c) 4 (d) 12
  4. 4.If 6x + 26 = 98, what is x? (a) 72 (b) 13 (c) 11 (d) 12
  5. 5.If 9x + 3 = 66, what is x? (a) 8 (b) 6 (c) 63 (d) 7
  6. 6.If 5x + 13 = 2x + 19, what is x? (a) 1 (b) 3 (c) 2 (d) 4
  7. 7.If x/3 + 2 = 8, what is x? (a) 22 (b) 30 (c) 6 (d) 18
  8. 8.If 9x + 26 = 71, what is x? (a) 6 (b) 4 (c) 45 (d) 5
  9. 9.If 4x + 4 = x + 7, what is x? (a) 1 (b) 2 (c) 3 (d) 4
  10. 10.If x/4 + 7 = 11, what is x? (a) 4 (b) 37 (c) 72 (d) 16
  11. 11.If 8x − 4 = 12, what is x? (a) 3 (b) 16 (c) 1 (d) 2
  12. 12.If 9x − 3 = 42, what is x? (a) 5 (b) 4 (c) 6 (d) 45
  13. 13.If 8x + 10 = 4x + 22, what is x? (a) 3 (b) 8 (c) 4 (d) 1
  14. 14.If 5x + 7 = 47, what is x? (a) 7 (b) 9 (c) 8 (d) 40
  15. 15.If 7x − 10 = 88, what is x? (a) 14 (b) 98 (c) 15 (d) 13
  16. 16.If 3x + 19 = x + 23, what is x? (a) 2 (b) 1 (c) 3 (d) 21
  17. 17.If 3x − 7 = 5, what is x? (a) 3 (b) 12 (c) 4 (d) 5
  18. 18.If x/2 + 10 = 20, what is x? (a) 60 (b) 30 (c) 20 (d) 10
  19. 19.If x/3 + 5 = 9, what is x? (a) 4 (b) 22 (c) 42 (d) 12
  20. 20.If 5x + 26 = 36, what is x? (a) 10 (b) 1 (c) 3 (d) 2
  21. 21.If 7x + 18 = 6x + 22, what is x? (a) 5 (b) 4 (c) 40 (d) 6
  22. 22.If 8x + 25 = 81, what is x? (a) 7 (b) 56 (c) 8 (d) 6
  23. 23.If 3x + 4 = 37, what is x? (a) 33 (b) 12 (c) 10 (d) 11
  24. 24.If x/6 + 14 = 23, what is x? (a) 54 (b) 9 (c) 222 (d) 124
  25. 25.If 5x + 11 = 71, what is x? (a) 11 (b) 13 (c) 12 (d) 60
  26. 26.If 9x − 70 = 2, what is x? (a) 9 (b) 8 (c) 72 (d) 7
  27. 27.If 5x + 30 = 85, what is x? (a) 23 (b) 11 (c) 55 (d) 12
  28. 28.If 8x − 1 = 15, what is x? (a) 1 (b) 2 (c) 3 (d) 16
  29. 29.If 6x + 16 = x + 46, what is x? (a) 8 (b) 6 (c) 5 (d) 7
  30. 30.If 4x − 2 = 22, what is x? (a) 6 (b) 5 (c) 7 (d) 24
  31. 31.If 3x + 5 = 35, what is x? (a) 10 (b) 9 (c) 11 (d) 30
  32. 32.If 5x + 30 = 70, what is x? (a) 20 (b) 40 (c) 8 (d) 9
  33. 33.If 3x + 1 = 2x + 6, what is x? (a) 6 (b) 7 (c) 5 (d) 1
  34. 34.If 5x + 12 = x + 52, what is x? (a) 10 (b) 11 (c) 16 (d) 12
  35. 35.If 8x + 1 = 121, what is x? (a) 14 (b) 16 (c) 15 (d) 120
  36. 36.If x/2 + 15 = 24, what is x? (a) 9 (b) 33 (c) 18 (d) 78
  37. 37.If 4x + 7 = 3x + 17, what is x? (a) 11 (b) 12 (c) 24 (d) 10
  38. 38.If 8x + 9 = 5x + 12, what is x? (a) 3 (b) 1 (c) 7 (d) 2
  39. 39.If 9x + 3 = 3x + 33, what is x? (a) 7 (b) 6 (c) 4 (d) 5
  40. 40.If 5x + 20 = 70, what is x? (a) 18 (b) 50 (c) 10 (d) 11

Answer key

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

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