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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 587 · 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/4 + 3 = 14, what is x? (a) 53 (b) 68 (c) 44 (d) 11
  2. 2.If 2x − 5 = 1, what is x? (a) 6 (b) 4 (c) 3 (d) 2
  3. 3.If 5x − 25 = 15, what is x? (a) 9 (b) 7 (c) 40 (d) 8
  4. 4.If 4x + 5 = 29, what is x? (a) 5 (b) 6 (c) 24 (d) 7
  5. 5.If 5x + 2 = 2x + 32, what is x? (a) 11 (b) 9 (c) 12 (d) 10
  6. 6.If 5x + 5 = 3x + 27, what is x? (a) 12 (b) 16 (c) 13 (d) 11
  7. 7.If x/3 + 13 = 24, what is x? (a) 11 (b) 59 (c) 33 (d) 111
  8. 8.If 9x − 4 = 14, what is x? (a) 3 (b) 2 (c) 18 (d) 1
  9. 9.If 3x − 36 = 6, what is x? (a) 14 (b) 15 (c) 13 (d) 42
  10. 10.If 4x + 2 = 30, what is x? (a) 6 (b) 7 (c) 8 (d) 28
  11. 11.If x/6 + 14 = 18, what is x? (a) 4 (b) 192 (c) 24 (d) 94
  12. 12.If 9x + 4 = 8x + 5, what is x? (a) 3 (b) 2 (c) 1 (d) 9
  13. 13.If 4x + 30 = 46, what is x? (a) 4 (b) 5 (c) 19 (d) 16
  14. 14.If 4x − 20 = 4, what is x? (a) 24 (b) 7 (c) 6 (d) 5
  15. 15.If 5x + 8 = 28, what is x? (a) 20 (b) 3 (c) 5 (d) 4
  16. 16.If x/2 + 3 = 9, what is x? (a) 15 (b) 6 (c) 12 (d) 24
  17. 17.If 3x − 1 = 14, what is x? (a) 6 (b) 5 (c) 15 (d) 4
  18. 18.If 7x + 16 = 4x + 49, what is x? (a) 3 (b) 11 (c) 12 (d) 13
  19. 19.If 6x − 7 = 5, what is x? (a) 12 (b) 2 (c) 3 (d) 1
  20. 20.If 5x − 14 = 11, what is x? (a) 6 (b) 5 (c) 4 (d) 25
  21. 21.If 4x + 2 = 42, what is x? (a) 40 (b) 10 (c) 11 (d) 9
  22. 22.If 9x + 5 = 5x + 9, what is x? (a) 1 (b) 4 (c) 3 (d) 2
  23. 23.If x/3 + 11 = 18, what is x? (a) 43 (b) 7 (c) 87 (d) 21
  24. 24.If 7x + 1 = 6x + 2, what is x? (a) 3 (b) 2 (c) 1 (d) 4
  25. 25.If x/2 + 7 = 19, what is x? (a) 31 (b) 12 (c) 52 (d) 24
  26. 26.If 3x + 17 = 29, what is x? (a) 4 (b) 12 (c) 5 (d) 3
  27. 27.If 2x + 8 = 12, what is x? (a) 3 (b) 4 (c) 10 (d) 2
  28. 28.If 3x + 20 = 32, what is x? (a) 12 (b) 5 (c) 3 (d) 4
  29. 29.If 5x + 3 = x + 35, what is x? (a) 8 (b) 7 (c) 10 (d) 9
  30. 30.If 6x − 1 = 11, what is x? (a) 3 (b) 1 (c) 2 (d) 12
  31. 31.If 9x − 8 = 82, what is x? (a) 11 (b) 9 (c) 10 (d) 90
  32. 32.If 8x − 24 = 72, what is x? (a) 96 (b) 6 (c) 13 (d) 12
  33. 33.If 8x − 24 = 16, what is x? (a) 40 (b) 5 (c) 6 (d) 4
  34. 34.If 3x − 18 = 3, what is x? (a) 7 (b) 8 (c) 21 (d) 6
  35. 35.If 9x + 29 = 155, what is x? (a) 15 (b) 126 (c) 14 (d) 13
  36. 36.If x/2 + 4 = 10, what is x? (a) 6 (b) 28 (c) 12 (d) 16
  37. 37.If 7x + 16 = 65, what is x? (a) 8 (b) 49 (c) 6 (d) 7
  38. 38.If 4x + 23 = 47, what is x? (a) 6 (b) 5 (c) 7 (d) 24
  39. 39.If 3x + 19 = x + 25, what is x? (a) 5 (b) 22 (c) 3 (d) 4
  40. 40.If 2x − 5 = 25, what is x? (a) 30 (b) 10 (c) 15 (d) 16

Answer key

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

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