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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 9 · 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 9x − 1 = 17, what is x? (a) 3 (b) 18 (c) 1 (d) 2
  2. 2.If 3x + 23 = 56, what is x? (a) 33 (b) 10 (c) 11 (d) 12
  3. 3.If 5x + 14 = 2x + 29, what is x? (a) 7 (b) 5 (c) 6 (d) 4
  4. 4.If 3x + 4 = 2x + 6, what is x? (a) 4 (b) 3 (c) 2 (d) 10
  5. 5.If 7x + 21 = 42, what is x? (a) 9 (b) 3 (c) 4 (d) 21
  6. 6.If 4x − 4 = 20, what is x? (a) 6 (b) 7 (c) 24 (d) 4
  7. 7.If 2x − 9 = 1, what is x? (a) 4 (b) 6 (c) 5 (d) 10
  8. 8.If 5x − 4 = 31, what is x? (a) 6 (b) 35 (c) 7 (d) 8
  9. 9.If 3x + 8 = 53, what is x? (a) 15 (b) 45 (c) 14 (d) 16
  10. 10.If 2x + 30 = 50, what is x? (a) 40 (b) 11 (c) 20 (d) 10
  11. 11.If x/3 + 2 = 12, what is x? (a) 42 (b) 10 (c) 30 (d) 34
  12. 12.If 4x + 7 = 43, what is x? (a) 9 (b) 36 (c) 10 (d) 8
  13. 13.If 5x − 15 = 30, what is x? (a) 9 (b) 10 (c) 45 (d) 3
  14. 14.If x/5 + 9 = 21, what is x? (a) 96 (b) 12 (c) 150 (d) 60
  15. 15.If x/4 + 1 = 13, what is x? (a) 56 (b) 48 (c) 51 (d) 12
  16. 16.If 7x − 26 = 51, what is x? (a) 77 (b) 10 (c) 11 (d) 12
  17. 17.If 4x − 23 = 33, what is x? (a) 13 (b) 15 (c) 56 (d) 14
  18. 18.If 2x + 2 = 24, what is x? (a) 13 (b) 11 (c) 12 (d) 22
  19. 19.If 5x − 19 = 21, what is x? (a) 40 (b) 8 (c) 7 (d) 9
  20. 20.If 7x + 19 = x + 37, what is x? (a) 5 (b) 2 (c) 4 (d) 3
  21. 21.If 8x − 8 = 16, what is x? (a) 24 (b) 4 (c) 1 (d) 3
  22. 22.If 5x − 1 = 49, what is x? (a) 50 (b) 9 (c) 11 (d) 10
  23. 23.If 6x + 19 = 2x + 27, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  24. 24.If x/6 + 5 = 15, what is x? (a) 10 (b) 60 (c) 85 (d) 120
  25. 25.If 8x + 2 = 42, what is x? (a) 5 (b) 4 (c) 6 (d) 40
  26. 26.If 6x − 7 = 5, what is x? (a) 3 (b) 1 (c) 2 (d) 12
  27. 27.If 9x + 3 = x + 11, what is x? (a) 3 (b) 2 (c) 1 (d) 4
  28. 28.If 4x + 30 = 58, what is x? (a) 8 (b) 28 (c) 7 (d) 22
  29. 29.If x/6 + 6 = 9, what is x? (a) 90 (b) 48 (c) 3 (d) 18
  30. 30.If 2x + 14 = 34, what is x? (a) 20 (b) 11 (c) 24 (d) 10
  31. 31.If x/4 + 13 = 24, what is x? (a) 44 (b) 148 (c) 83 (d) 11
  32. 32.If x/6 + 1 = 5, what is x? (a) 4 (b) 36 (c) 24 (d) 29
  33. 33.If 4x + 26 = 42, what is x? (a) 16 (b) 4 (c) 17 (d) 5
  34. 34.If 9x + 16 = 52, what is x? (a) 5 (b) 36 (c) 3 (d) 4
  35. 35.If 7x − 78 = 13, what is x? (a) 12 (b) 91 (c) 13 (d) 14
  36. 36.If x/3 + 10 = 13, what is x? (a) 69 (b) 3 (c) 9 (d) 29
  37. 37.If 3x + 16 = 40, what is x? (a) 8 (b) 24 (c) 7 (d) 9
  38. 38.If 9x − 13 = 5, what is x? (a) 1 (b) 18 (c) 3 (d) 2
  39. 39.If x/2 + 3 = 12, what is x? (a) 9 (b) 30 (c) 18 (d) 21
  40. 40.If 9x + 6 = x + 102, what is x? (a) 14 (b) 12 (c) 11 (d) 13

Answer key

  1. 2
  2. 11
  3. 5
  4. 2
  5. 3
  6. 6
  7. 5
  8. 7
  9. 15
  10. 10
  11. 30
  12. 9
  13. 9
  14. 60
  15. 48
  16. 11
  17. 14
  18. 11
  19. 8
  20. 3
  21. 3
  22. 10
  23. 2
  24. 60
  25. 5
  26. 2
  27. 1
  28. 7
  29. 18
  30. 10
  31. 44
  32. 24
  33. 4
  34. 4
  35. 13
  36. 9
  37. 8
  38. 2
  39. 18
  40. 12

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