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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 415 · 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 x/3 + 5 = 9, what is x? (a) 22 (b) 4 (c) 12 (d) 42
  2. 2.If 3x + 3 = 27, what is x? (a) 10 (b) 9 (c) 8 (d) 24
  3. 3.If x/5 + 14 = 26, what is x? (a) 12 (b) 60 (c) 116 (d) 200
  4. 4.If 5x + 12 = 3x + 14, what is x? (a) 3 (b) 1 (c) 2 (d) 13
  5. 5.If x/4 + 3 = 5, what is x? (a) 8 (b) 32 (c) 2 (d) 17
  6. 6.If 6x − 6 = 6, what is x? (a) 1 (b) 3 (c) 2 (d) 12
  7. 7.If 5x − 19 = 11, what is x? (a) 30 (b) 7 (c) 5 (d) 6
  8. 8.If x/3 + 8 = 20, what is x? (a) 36 (b) 52 (c) 84 (d) 12
  9. 9.If 3x − 6 = 6, what is x? (a) 5 (b) 4 (c) 3 (d) 12
  10. 10.If 9x − 21 = 42, what is x? (a) 7 (b) 6 (c) 8 (d) 63
  11. 11.If 7x + 13 = 55, what is x? (a) 42 (b) 5 (c) 7 (d) 6
  12. 12.If 9x + 3 = 7x + 25, what is x? (a) 14 (b) 12 (c) 13 (d) 11
  13. 13.If 3x − 6 = 9, what is x? (a) 1 (b) 15 (c) 6 (d) 5
  14. 14.If 3x + 5 = 26, what is x? (a) 21 (b) 8 (c) 6 (d) 7
  15. 15.If 5x + 13 = 3x + 19, what is x? (a) 16 (b) 4 (c) 5 (d) 3
  16. 16.If 4x + 10 = 3x + 15, what is x? (a) 6 (b) 5 (c) 7 (d) 25
  17. 17.If x/4 + 7 = 16, what is x? (a) 92 (b) 9 (c) 57 (d) 36
  18. 18.If x/2 + 11 = 15, what is x? (a) 19 (b) 8 (c) 52 (d) 4
  19. 19.If 3x + 11 = 26, what is x? (a) 5 (b) 6 (c) 4 (d) 15
  20. 20.If 4x − 34 = 22, what is x? (a) 15 (b) 14 (c) 56 (d) 13
  21. 21.If 7x + 4 = 32, what is x? (a) 4 (b) 28 (c) 5 (d) 3
  22. 22.If 9x + 6 = 8x + 18, what is x? (a) 14 (b) 13 (c) 24 (d) 12
  23. 23.If 5x + 6 = x + 46, what is x? (a) 11 (b) 10 (c) 12 (d) 13
  24. 24.If x/4 + 11 = 18, what is x? (a) 61 (b) 28 (c) 116 (d) 7
  25. 25.If 7x + 5 = 2x + 60, what is x? (a) 13 (b) 12 (c) 10 (d) 11
  26. 26.If 7x + 14 = 77, what is x? (a) 63 (b) 13 (c) 9 (d) 10
  27. 27.If 4x − 37 = 23, what is x? (a) 14 (b) 15 (c) 60 (d) 16
  28. 28.If 8x + 26 = 122, what is x? (a) 13 (b) 11 (c) 12 (d) 96
  29. 29.If 7x − 5 = 9, what is x? (a) 3 (b) 14 (c) 1 (d) 2
  30. 30.If 5x + 16 = 41, what is x? (a) 4 (b) 5 (c) 6 (d) 25
  31. 31.If 6x − 19 = 5, what is x? (a) 24 (b) 3 (c) 5 (d) 4
  32. 32.If 6x + 8 = 32, what is x? (a) 5 (b) 4 (c) 3 (d) 24
  33. 33.If 8x + 3 = 19, what is x? (a) 1 (b) 2 (c) 16 (d) 3
  34. 34.If 3x + 9 = 2x + 11, what is x? (a) 2 (b) 20 (c) 3 (d) 4
  35. 35.If 3x + 3 = 30, what is x? (a) 9 (b) 10 (c) 11 (d) 27
  36. 36.If 3x + 17 = x + 33, what is x? (a) 9 (b) 4 (c) 25 (d) 8
  37. 37.If 3x + 11 = 2x + 15, what is x? (a) 5 (b) 4 (c) 26 (d) 6
  38. 38.If x/4 + 13 = 24, what is x? (a) 11 (b) 44 (c) 83 (d) 148
  39. 39.If x/3 + 15 = 17, what is x? (a) 36 (b) 96 (c) 2 (d) 6
  40. 40.If 8x + 5 = 29, what is x? (a) 24 (b) 3 (c) 4 (d) 2

Answer key

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

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