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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 486 · 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 + 17 = 2x + 38, what is x? (a) 9 (b) 8 (c) 3 (d) 7
  2. 2.If x/5 + 12 = 19, what is x? (a) 155 (b) 7 (c) 83 (d) 35
  3. 3.If 8x + 27 = 115, what is x? (a) 88 (b) 12 (c) 10 (d) 11
  4. 4.If x/2 + 9 = 21, what is x? (a) 60 (b) 33 (c) 24 (d) 12
  5. 5.If x/4 + 13 = 16, what is x? (a) 3 (b) 116 (c) 51 (d) 12
  6. 6.If 7x − 34 = 15, what is x? (a) 6 (b) 8 (c) 49 (d) 7
  7. 7.If 6x + 29 = 77, what is x? (a) 8 (b) 48 (c) 9 (d) 7
  8. 8.If 2x + 7 = 37, what is x? (a) 22 (b) 15 (c) 30 (d) 16
  9. 9.If 4x − 19 = 5, what is x? (a) 6 (b) 24 (c) 7 (d) 5
  10. 10.If x/5 + 13 = 25, what is x? (a) 60 (b) 190 (c) 112 (d) 12
  11. 11.If x/3 + 5 = 17, what is x? (a) 12 (b) 36 (c) 66 (d) 46
  12. 12.If 6x + 16 = x + 26, what is x? (a) 3 (b) 1 (c) 4 (d) 2
  13. 13.If 8x + 16 = 4x + 64, what is x? (a) 4 (b) 20 (c) 13 (d) 12
  14. 14.If 8x − 19 = 101, what is x? (a) 15 (b) 16 (c) 120 (d) 14
  15. 15.If 2x + 20 = 34, what is x? (a) 27 (b) 14 (c) 8 (d) 7
  16. 16.If 4x − 5 = 31, what is x? (a) 9 (b) 10 (c) 36 (d) 8
  17. 17.If 9x − 37 = 8, what is x? (a) 45 (b) 6 (c) 4 (d) 5
  18. 18.If x/2 + 13 = 21, what is x? (a) 16 (b) 8 (c) 29 (d) 68
  19. 19.If 8x − 21 = 3, what is x? (a) 3 (b) 4 (c) 2 (d) 24
  20. 20.If 2x − 4 = 26, what is x? (a) 30 (b) 11 (c) 16 (d) 15
  21. 21.If 5x − 28 = 42, what is x? (a) 14 (b) 70 (c) 13 (d) 15
  22. 22.If 3x + 16 = 34, what is x? (a) 5 (b) 18 (c) 6 (d) 7
  23. 23.If 9x + 11 = 7x + 15, what is x? (a) 13 (b) 2 (c) 3 (d) 4
  24. 24.If x/2 + 8 = 13, what is x? (a) 5 (b) 42 (c) 10 (d) 18
  25. 25.If x/2 + 11 = 21, what is x? (a) 64 (b) 10 (c) 31 (d) 20
  26. 26.If 3x + 9 = 2x + 13, what is x? (a) 22 (b) 5 (c) 4 (d) 6
  27. 27.If 9x + 12 = 8x + 19, what is x? (a) 9 (b) 31 (c) 8 (d) 7
  28. 28.If 8x + 13 = 6x + 31, what is x? (a) 10 (b) 9 (c) 11 (d) 22
  29. 29.If 3x + 9 = 15, what is x? (a) 6 (b) 3 (c) 2 (d) 8
  30. 30.If 6x + 19 = 5x + 24, what is x? (a) 5 (b) 43 (c) 6 (d) 7
  31. 31.If 5x + 15 = 2x + 18, what is x? (a) 3 (b) 11 (c) 1 (d) 2
  32. 32.If x/2 + 3 = 5, what is x? (a) 16 (b) 7 (c) 4 (d) 2
  33. 33.If 8x − 15 = 105, what is x? (a) 15 (b) 14 (c) 16 (d) 120
  34. 34.If 6x + 22 = 94, what is x? (a) 12 (b) 13 (c) 72 (d) 11
  35. 35.If 7x + 11 = 4x + 35, what is x? (a) 9 (b) 8 (c) 10 (d) 7
  36. 36.If 9x + 1 = 4x + 46, what is x? (a) 10 (b) 9 (c) 11 (d) 8
  37. 37.If 3x + 1 = 13, what is x? (a) 5 (b) 3 (c) 4 (d) 12
  38. 38.If 2x + 25 = 55, what is x? (a) 40 (b) 15 (c) 16 (d) 30
  39. 39.If 4x + 15 = 2x + 39, what is x? (a) 4 (b) 12 (c) 27 (d) 13
  40. 40.If 4x + 11 = 35, what is x? (a) 7 (b) 24 (c) 6 (d) 5

Answer key

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

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