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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 529 · 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/2 + 15 = 27, what is x? (a) 84 (b) 39 (c) 24 (d) 12
  2. 2.If x/3 + 5 = 13, what is x? (a) 24 (b) 54 (c) 34 (d) 8
  3. 3.If 2x + 17 = 37, what is x? (a) 11 (b) 20 (c) 27 (d) 10
  4. 4.If x/5 + 6 = 16, what is x? (a) 50 (b) 110 (c) 74 (d) 10
  5. 5.If 4x + 2 = 2x + 6, what is x? (a) 3 (b) 1 (c) 2 (d) 4
  6. 6.If 8x + 14 = 3x + 24, what is x? (a) 4 (b) 2 (c) 3 (d) 1
  7. 7.If 3x + 24 = 63, what is x? (a) 29 (b) 13 (c) 14 (d) 39
  8. 8.If 2x + 14 = 26, what is x? (a) 12 (b) 20 (c) 7 (d) 6
  9. 9.If 7x + 28 = 98, what is x? (a) 18 (b) 11 (c) 70 (d) 10
  10. 10.If 6x + 9 = 2x + 53, what is x? (a) 13 (b) 10 (c) 12 (d) 11
  11. 11.If x/5 + 12 = 21, what is x? (a) 93 (b) 9 (c) 45 (d) 165
  12. 12.If 5x + 18 = 3x + 24, what is x? (a) 21 (b) 4 (c) 3 (d) 5
  13. 13.If 3x + 5 = 2x + 9, what is x? (a) 14 (b) 5 (c) 4 (d) 6
  14. 14.If 6x + 10 = 4x + 18, what is x? (a) 5 (b) 4 (c) 14 (d) 6
  15. 15.If 6x − 50 = 22, what is x? (a) 13 (b) 12 (c) 72 (d) 11
  16. 16.If 6x + 21 = 69, what is x? (a) 48 (b) 9 (c) 8 (d) 15
  17. 17.If 3x + 18 = 60, what is x? (a) 42 (b) 26 (c) 14 (d) 15
  18. 18.If 7x − 61 = 2, what is x? (a) 9 (b) 8 (c) 63 (d) 10
  19. 19.If 7x + 7 = 2x + 67, what is x? (a) 13 (b) 11 (c) 12 (d) 14
  20. 20.If 5x + 15 = x + 43, what is x? (a) 8 (b) 6 (c) 9 (d) 7
  21. 21.If 5x − 31 = 9, what is x? (a) 7 (b) 40 (c) 9 (d) 8
  22. 22.If 5x − 1 = 19, what is x? (a) 5 (b) 3 (c) 20 (d) 4
  23. 23.If 5x + 21 = 91, what is x? (a) 70 (b) 14 (c) 13 (d) 15
  24. 24.If 9x + 5 = 41, what is x? (a) 4 (b) 36 (c) 3 (d) 5
  25. 25.If 8x − 25 = 7, what is x? (a) 32 (b) 5 (c) 4 (d) 3
  26. 26.If 5x + 1 = x + 13, what is x? (a) 4 (b) 3 (c) 5 (d) 2
  27. 27.If 2x + 5 = 15, what is x? (a) 10 (b) 5 (c) 4 (d) 6
  28. 28.If 5x + 6 = 3x + 26, what is x? (a) 10 (b) 11 (c) 16 (d) 12
  29. 29.If x/6 + 9 = 12, what is x? (a) 18 (b) 126 (c) 63 (d) 3
  30. 30.If x/6 + 15 = 27, what is x? (a) 147 (b) 12 (c) 72 (d) 252
  31. 31.If 4x − 11 = 1, what is x? (a) 2 (b) 3 (c) 4 (d) 12
  32. 32.If 9x + 26 = 116, what is x? (a) 90 (b) 11 (c) 10 (d) 9
  33. 33.If 3x + 5 = 23, what is x? (a) 6 (b) 18 (c) 7 (d) 5
  34. 34.If x/4 + 1 = 13, what is x? (a) 56 (b) 51 (c) 12 (d) 48
  35. 35.If 9x − 8 = 91, what is x? (a) 12 (b) 10 (c) 11 (d) 99
  36. 36.If x/2 + 13 = 17, what is x? (a) 21 (b) 60 (c) 4 (d) 8
  37. 37.If 3x + 8 = 17, what is x? (a) 2 (b) 9 (c) 4 (d) 3
  38. 38.If x/2 + 12 = 18, what is x? (a) 6 (b) 60 (c) 12 (d) 24
  39. 39.If 3x + 1 = 28, what is x? (a) 9 (b) 27 (c) 8 (d) 10
  40. 40.If 4x − 15 = 25, what is x? (a) 9 (b) 10 (c) 11 (d) 40

Answer key

  1. 24
  2. 24
  3. 10
  4. 50
  5. 2
  6. 2
  7. 13
  8. 6
  9. 10
  10. 11
  11. 45
  12. 3
  13. 4
  14. 4
  15. 12
  16. 8
  17. 14
  18. 9
  19. 12
  20. 7
  21. 8
  22. 4
  23. 14
  24. 4
  25. 4
  26. 3
  27. 5
  28. 10
  29. 18
  30. 72
  31. 3
  32. 10
  33. 6
  34. 48
  35. 11
  36. 8
  37. 3
  38. 12
  39. 9
  40. 10

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