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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 222 · 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 3x − 11 = 13, what is x? (a) 24 (b) 9 (c) 7 (d) 8
  2. 2.If 6x − 14 = 22, what is x? (a) 36 (b) 5 (c) 6 (d) 7
  3. 3.If 5x + 7 = 82, what is x? (a) 14 (b) 15 (c) 75 (d) 16
  4. 4.If 9x + 6 = 4x + 41, what is x? (a) 7 (b) 6 (c) 8 (d) 9
  5. 5.If 8x + 13 = 61, what is x? (a) 48 (b) 6 (c) 7 (d) 5
  6. 6.If 2x − 5 = 11, what is x? (a) 16 (b) 8 (c) 9 (d) 3
  7. 7.If 3x + 28 = 43, what is x? (a) 4 (b) 5 (c) 15 (d) 6
  8. 8.If 9x + 6 = 7x + 20, what is x? (a) 8 (b) 13 (c) 9 (d) 7
  9. 9.If 3x + 4 = 19, what is x? (a) 5 (b) 4 (c) 15 (d) 6
  10. 10.If 8x + 9 = 41, what is x? (a) 5 (b) 4 (c) 3 (d) 32
  11. 11.If 5x + 10 = 3x + 34, what is x? (a) 3 (b) 12 (c) 13 (d) 22
  12. 12.If 4x − 3 = 9, what is x? (a) 3 (b) 2 (c) 4 (d) 12
  13. 13.If 8x + 15 = 7x + 18, what is x? (a) 5 (b) 4 (c) 33 (d) 3
  14. 14.If 5x + 15 = 45, what is x? (a) 30 (b) 6 (c) 12 (d) 7
  15. 15.If 6x − 2 = 16, what is x? (a) 18 (b) 2 (c) 3 (d) 4
  16. 16.If 8x − 14 = 34, what is x? (a) 5 (b) 6 (c) 48 (d) 7
  17. 17.If 5x + 10 = 75, what is x? (a) 13 (b) 65 (c) 14 (d) 17
  18. 18.If 3x + 18 = 2x + 23, what is x? (a) 5 (b) 6 (c) 1 (d) 41
  19. 19.If 5x + 16 = 46, what is x? (a) 30 (b) 7 (c) 6 (d) 5
  20. 20.If 3x + 30 = 36, what is x? (a) 22 (b) 6 (c) 3 (d) 2
  21. 21.If 4x + 17 = 2x + 39, what is x? (a) 12 (b) 11 (c) 13 (d) 28
  22. 22.If 7x − 96 = 2, what is x? (a) 98 (b) 15 (c) 13 (d) 14
  23. 23.If 9x + 27 = 72, what is x? (a) 6 (b) 45 (c) 5 (d) 11
  24. 24.If 4x + 6 = 58, what is x? (a) 14 (b) 16 (c) 13 (d) 52
  25. 25.If 6x + 8 = 4x + 26, what is x? (a) 11 (b) 10 (c) 17 (d) 9
  26. 26.If x/3 + 8 = 12, what is x? (a) 28 (b) 4 (c) 12 (d) 60
  27. 27.If 6x − 43 = 29, what is x? (a) 72 (b) 13 (c) 11 (d) 12
  28. 28.If 4x + 12 = 56, what is x? (a) 12 (b) 44 (c) 11 (d) 17
  29. 29.If 8x + 7 = 7x + 18, what is x? (a) 11 (b) 13 (c) 25 (d) 12
  30. 30.If 6x − 26 = 10, what is x? (a) 6 (b) 36 (c) 5 (d) 7
  31. 31.If 9x + 2 = 101, what is x? (a) 99 (b) 12 (c) 11 (d) 10
  32. 32.If x/4 + 1 = 9, what is x? (a) 35 (b) 40 (c) 32 (d) 8
  33. 33.If 3x − 1 = 29, what is x? (a) 30 (b) 11 (c) 10 (d) 9
  34. 34.If 8x + 7 = 2x + 25, what is x? (a) 5 (b) 3 (c) 2 (d) 4
  35. 35.If 4x + 16 = 2x + 28, what is x? (a) 6 (b) 22 (c) 7 (d) 2
  36. 36.If x/5 + 10 = 15, what is x? (a) 125 (b) 5 (c) 65 (d) 25
  37. 37.If 4x + 26 = 42, what is x? (a) 17 (b) 5 (c) 16 (d) 4
  38. 38.If x/6 + 12 = 24, what is x? (a) 12 (b) 216 (c) 72 (d) 132
  39. 39.If 8x + 18 = 7x + 22, what is x? (a) 5 (b) 40 (c) 6 (d) 4
  40. 40.If 3x − 9 = 3, what is x? (a) 5 (b) 4 (c) 12 (d) 3

Answer key

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

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