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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 501 · 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 6x + 16 = x + 26, what is x? (a) 4 (b) 1 (c) 2 (d) 3
  2. 2.If 9x + 21 = 75, what is x? (a) 54 (b) 5 (c) 7 (d) 6
  3. 3.If x/5 + 10 = 21, what is x? (a) 11 (b) 155 (c) 55 (d) 95
  4. 4.If 2x − 22 = 4, what is x? (a) 14 (b) 13 (c) 12 (d) 26
  5. 5.If 9x + 11 = 6x + 20, what is x? (a) 4 (b) 5 (c) 3 (d) 2
  6. 6.If x/3 + 4 = 9, what is x? (a) 23 (b) 15 (c) 39 (d) 5
  7. 7.If 4x + 5 = 2x + 23, what is x? (a) 14 (b) 10 (c) 3 (d) 9
  8. 8.If 8x − 42 = 6, what is x? (a) 5 (b) 7 (c) 6 (d) 48
  9. 9.If 9x + 18 = 45, what is x? (a) 27 (b) 4 (c) 3 (d) 7
  10. 10.If 8x + 3 = 4x + 23, what is x? (a) 6 (b) 5 (c) 7 (d) 4
  11. 11.If 8x + 21 = 45, what is x? (a) 3 (b) 24 (c) 2 (d) 4
  12. 12.If 4x + 26 = 54, what is x? (a) 7 (b) 28 (c) 20 (d) 8
  13. 13.If 6x + 17 = 2x + 57, what is x? (a) 12 (b) 11 (c) 10 (d) 5
  14. 14.If x/3 + 12 = 14, what is x? (a) 2 (b) 78 (c) 30 (d) 6
  15. 15.If 8x − 77 = 27, what is x? (a) 104 (b) 14 (c) 13 (d) 12
  16. 16.If 4x − 10 = 26, what is x? (a) 36 (b) 9 (c) 10 (d) 4
  17. 17.If 7x + 4 = x + 46, what is x? (a) 6 (b) 8 (c) 9 (d) 7
  18. 18.If 5x − 2 = 33, what is x? (a) 35 (b) 6 (c) 8 (d) 7
  19. 19.If 9x + 10 = 3x + 76, what is x? (a) 10 (b) 11 (c) 12 (d) 13
  20. 20.If x/2 + 15 = 27, what is x? (a) 84 (b) 39 (c) 12 (d) 24
  21. 21.If 7x − 15 = 62, what is x? (a) 12 (b) 10 (c) 77 (d) 11
  22. 22.If 5x − 37 = 13, what is x? (a) 9 (b) 11 (c) 10 (d) 50
  23. 23.If 4x + 5 = 13, what is x? (a) 3 (b) 8 (c) 2 (d) 1
  24. 24.If 3x + 9 = 2x + 14, what is x? (a) 1 (b) 5 (c) 6 (d) 23
  25. 25.If 3x + 7 = x + 13, what is x? (a) 5 (b) 3 (c) 4 (d) 10
  26. 26.If 2x + 19 = 47, what is x? (a) 14 (b) 33 (c) 15 (d) 28
  27. 27.If 8x − 3 = 45, what is x? (a) 6 (b) 5 (c) 48 (d) 7
  28. 28.If 7x + 5 = 6x + 7, what is x? (a) 12 (b) 3 (c) 4 (d) 2
  29. 29.If 4x + 20 = 2x + 40, what is x? (a) 11 (b) 10 (c) 30 (d) 12
  30. 30.If 4x + 28 = 68, what is x? (a) 24 (b) 40 (c) 11 (d) 10
  31. 31.If x/5 + 5 = 13, what is x? (a) 8 (b) 40 (c) 60 (d) 90
  32. 32.If 2x − 3 = 1, what is x? (a) 2 (b) 4 (c) 3 (d) 1
  33. 33.If 3x + 9 = 15, what is x? (a) 6 (b) 2 (c) 8 (d) 3
  34. 34.If 9x − 38 = 97, what is x? (a) 16 (b) 135 (c) 14 (d) 15
  35. 35.If 4x + 17 = 65, what is x? (a) 13 (b) 12 (c) 48 (d) 11
  36. 36.If 6x + 21 = 33, what is x? (a) 12 (b) 3 (c) 2 (d) 9
  37. 37.If 7x + 29 = 43, what is x? (a) 1 (b) 3 (c) 14 (d) 2
  38. 38.If 3x − 1 = 8, what is x? (a) 4 (b) 3 (c) 2 (d) 9
  39. 39.If 3x + 18 = 30, what is x? (a) 12 (b) 5 (c) 16 (d) 4
  40. 40.If 2x − 17 = 3, what is x? (a) 9 (b) 11 (c) 10 (d) 20

Answer key

  1. 2
  2. 6
  3. 55
  4. 13
  5. 3
  6. 15
  7. 9
  8. 6
  9. 3
  10. 5
  11. 3
  12. 7
  13. 10
  14. 6
  15. 13
  16. 9
  17. 7
  18. 7
  19. 11
  20. 24
  21. 11
  22. 10
  23. 2
  24. 5
  25. 3
  26. 14
  27. 6
  28. 2
  29. 10
  30. 10
  31. 40
  32. 2
  33. 2
  34. 15
  35. 12
  36. 2
  37. 2
  38. 3
  39. 4
  40. 10

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