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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 614 · 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 5x − 14 = 31, what is x? (a) 8 (b) 45 (c) 9 (d) 10
  2. 2.If 4x − 19 = 1, what is x? (a) 20 (b) 4 (c) 6 (d) 5
  3. 3.If 7x + 6 = 2x + 41, what is x? (a) 6 (b) 8 (c) 7 (d) 9
  4. 4.If 7x − 2 = 26, what is x? (a) 28 (b) 5 (c) 4 (d) 3
  5. 5.If 3x − 4 = 5, what is x? (a) 3 (b) 9 (c) 4 (d) 2
  6. 6.If 9x + 1 = 7x + 7, what is x? (a) 3 (b) 4 (c) 2 (d) 5
  7. 7.If 8x − 6 = 58, what is x? (a) 8 (b) 9 (c) 7 (d) 64
  8. 8.If 8x − 22 = 66, what is x? (a) 12 (b) 88 (c) 11 (d) 10
  9. 9.If 8x + 20 = 3x + 75, what is x? (a) 19 (b) 11 (c) 5 (d) 12
  10. 10.If 2x + 16 = 36, what is x? (a) 20 (b) 26 (c) 11 (d) 10
  11. 11.If 7x − 24 = 32, what is x? (a) 7 (b) 56 (c) 9 (d) 8
  12. 12.If 5x + 16 = 76, what is x? (a) 11 (b) 13 (c) 60 (d) 12
  13. 13.If 6x + 10 = 2x + 58, what is x? (a) 17 (b) 6 (c) 12 (d) 13
  14. 14.If 8x + 20 = 76, what is x? (a) 56 (b) 12 (c) 8 (d) 7
  15. 15.If x/5 + 5 = 9, what is x? (a) 4 (b) 70 (c) 20 (d) 40
  16. 16.If 3x + 10 = 16, what is x? (a) 3 (b) 1 (c) 6 (d) 2
  17. 17.If 3x + 10 = 37, what is x? (a) 27 (b) 8 (c) 10 (d) 9
  18. 18.If 5x + 18 = 4x + 21, what is x? (a) 3 (b) 39 (c) 5 (d) 4
  19. 19.If 8x + 4 = 44, what is x? (a) 6 (b) 40 (c) 4 (d) 5
  20. 20.If 5x − 8 = 12, what is x? (a) 3 (b) 4 (c) 20 (d) 5
  21. 21.If 5x − 39 = 21, what is x? (a) 11 (b) 60 (c) 12 (d) 13
  22. 22.If 8x + 5 = 6x + 25, what is x? (a) 15 (b) 10 (c) 11 (d) 12
  23. 23.If 4x + 6 = 50, what is x? (a) 14 (b) 12 (c) 44 (d) 11
  24. 24.If 8x − 20 = 12, what is x? (a) 4 (b) 3 (c) 5 (d) 32
  25. 25.If 7x + 9 = 100, what is x? (a) 13 (b) 14 (c) 12 (d) 91
  26. 26.If 6x − 47 = 7, what is x? (a) 54 (b) 8 (c) 10 (d) 9
  27. 27.If 3x + 1 = 2x + 9, what is x? (a) 7 (b) 9 (c) 10 (d) 8
  28. 28.If 7x + 1 = 2x + 31, what is x? (a) 6 (b) 7 (c) 5 (d) 8
  29. 29.If 9x + 2 = 110, what is x? (a) 108 (b) 11 (c) 13 (d) 12
  30. 30.If x/2 + 10 = 16, what is x? (a) 52 (b) 22 (c) 12 (d) 6
  31. 31.If 6x + 22 = 40, what is x? (a) 18 (b) 4 (c) 3 (d) 2
  32. 32.If 6x + 12 = 3x + 21, what is x? (a) 4 (b) 1 (c) 3 (d) 11
  33. 33.If 5x + 7 = 2x + 31, what is x? (a) 7 (b) 10 (c) 9 (d) 8
  34. 34.If 3x + 8 = 2x + 13, what is x? (a) 21 (b) 1 (c) 5 (d) 6
  35. 35.If 4x + 2 = 42, what is x? (a) 11 (b) 10 (c) 9 (d) 40
  36. 36.If 4x + 18 = x + 24, what is x? (a) 4 (b) 3 (c) 2 (d) 14
  37. 37.If 5x + 10 = 60, what is x? (a) 10 (b) 11 (c) 14 (d) 50
  38. 38.If 3x + 8 = x + 10, what is x? (a) 9 (b) 2 (c) 3 (d) 1
  39. 39.If 3x + 1 = x + 21, what is x? (a) 11 (b) 5 (c) 12 (d) 10
  40. 40.If x/6 + 13 = 17, what is x? (a) 89 (b) 180 (c) 24 (d) 4

Answer key

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

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