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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 435 · 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 + 13 = 37, what is x? (a) 7 (b) 9 (c) 24 (d) 8
  2. 2.If 3x − 40 = 5, what is x? (a) 45 (b) 15 (c) 14 (d) 16
  3. 3.If 3x + 6 = 30, what is x? (a) 12 (b) 9 (c) 24 (d) 8
  4. 4.If x/6 + 13 = 19, what is x? (a) 101 (b) 6 (c) 36 (d) 192
  5. 5.If 5x + 4 = 4x + 8, what is x? (a) 12 (b) 5 (c) 6 (d) 4
  6. 6.If 3x + 1 = 22, what is x? (a) 8 (b) 6 (c) 21 (d) 7
  7. 7.If 8x − 31 = 9, what is x? (a) 40 (b) 5 (c) 6 (d) 4
  8. 8.If 6x − 2 = 22, what is x? (a) 4 (b) 5 (c) 3 (d) 24
  9. 9.If 3x − 28 = 2, what is x? (a) 11 (b) 30 (c) 9 (d) 10
  10. 10.If 9x − 13 = 32, what is x? (a) 6 (b) 4 (c) 45 (d) 5
  11. 11.If 3x + 18 = x + 28, what is x? (a) 23 (b) 6 (c) 5 (d) 7
  12. 12.If 5x + 27 = 57, what is x? (a) 30 (b) 5 (c) 6 (d) 7
  13. 13.If 7x + 19 = 47, what is x? (a) 28 (b) 3 (c) 5 (d) 4
  14. 14.If 3x − 13 = 11, what is x? (a) 8 (b) 7 (c) 24 (d) 9
  15. 15.If x/2 + 5 = 12, what is x? (a) 7 (b) 14 (c) 19 (d) 34
  16. 16.If 5x + 8 = 53, what is x? (a) 10 (b) 9 (c) 8 (d) 45
  17. 17.If 4x − 17 = 11, what is x? (a) 28 (b) 8 (c) 6 (d) 7
  18. 18.If x/2 + 13 = 18, what is x? (a) 5 (b) 10 (c) 62 (d) 23
  19. 19.If x/2 + 2 = 13, what is x? (a) 30 (b) 22 (c) 24 (d) 11
  20. 20.If 5x + 15 = 35, what is x? (a) 4 (b) 5 (c) 20 (d) 10
  21. 21.If x/5 + 9 = 18, what is x? (a) 81 (b) 45 (c) 9 (d) 135
  22. 22.If 7x + 15 = 99, what is x? (a) 84 (b) 12 (c) 13 (d) 11
  23. 23.If 6x − 30 = 12, what is x? (a) 42 (b) 8 (c) 7 (d) 6
  24. 24.If x/5 + 3 = 14, what is x? (a) 11 (b) 67 (c) 85 (d) 55
  25. 25.If 3x + 24 = 39, what is x? (a) 15 (b) 6 (c) 5 (d) 21
  26. 26.If 3x + 17 = 50, what is x? (a) 12 (b) 33 (c) 11 (d) 10
  27. 27.If 6x − 17 = 1, what is x? (a) 4 (b) 3 (c) 18 (d) 2
  28. 28.If 3x + 7 = x + 27, what is x? (a) 5 (b) 17 (c) 11 (d) 10
  29. 29.If 4x + 3 = x + 6, what is x? (a) 1 (b) 2 (c) 3 (d) 4
  30. 30.If 2x − 8 = 20, what is x? (a) 28 (b) 6 (c) 14 (d) 15
  31. 31.If 5x + 9 = 4x + 20, what is x? (a) 11 (b) 13 (c) 12 (d) 29
  32. 32.If x/3 + 15 = 17, what is x? (a) 6 (b) 36 (c) 96 (d) 2
  33. 33.If 2x − 3 = 1, what is x? (a) 4 (b) 2 (c) 3 (d) 1
  34. 34.If 9x − 3 = 15, what is x? (a) 3 (b) 18 (c) 1 (d) 2
  35. 35.If 7x − 22 = 27, what is x? (a) 8 (b) 7 (c) 49 (d) 6
  36. 36.If 7x + 2 = 5x + 6, what is x? (a) 2 (b) 4 (c) 1 (d) 3
  37. 37.If 2x + 11 = 33, what is x? (a) 12 (b) 10 (c) 11 (d) 22
  38. 38.If 8x + 28 = 60, what is x? (a) 32 (b) 4 (c) 11 (d) 5
  39. 39.If 9x + 27 = 126, what is x? (a) 99 (b) 17 (c) 12 (d) 11
  40. 40.If 3x + 10 = 28, what is x? (a) 5 (b) 7 (c) 18 (d) 6

Answer key

  1. 8
  2. 15
  3. 8
  4. 36
  5. 4
  6. 7
  7. 5
  8. 4
  9. 10
  10. 5
  11. 5
  12. 6
  13. 4
  14. 8
  15. 14
  16. 9
  17. 7
  18. 10
  19. 22
  20. 4
  21. 45
  22. 12
  23. 7
  24. 55
  25. 5
  26. 11
  27. 3
  28. 10
  29. 1
  30. 14
  31. 11
  32. 6
  33. 2
  34. 2
  35. 7
  36. 2
  37. 11
  38. 4
  39. 11
  40. 6

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