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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 47 · 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 2x − 3 = 3, what is x? (a) 2 (b) 3 (c) 4 (d) 6
  2. 2.If 5x + 9 = 44, what is x? (a) 6 (b) 8 (c) 7 (d) 35
  3. 3.If 8x + 9 = 7x + 10, what is x? (a) 3 (b) 19 (c) 1 (d) 2
  4. 4.If 6x − 25 = 53, what is x? (a) 14 (b) 12 (c) 13 (d) 78
  5. 5.If 4x + 26 = 38, what is x? (a) 3 (b) 16 (c) 4 (d) 12
  6. 6.If 4x + 25 = 57, what is x? (a) 8 (b) 9 (c) 7 (d) 32
  7. 7.If 3x − 2 = 4, what is x? (a) 1 (b) 6 (c) 3 (d) 2
  8. 8.If 4x + 5 = 3x + 17, what is x? (a) 14 (b) 13 (c) 22 (d) 12
  9. 9.If 2x + 9 = 21, what is x? (a) 12 (b) 6 (c) 15 (d) 7
  10. 10.If 8x + 19 = 51, what is x? (a) 4 (b) 3 (c) 5 (d) 32
  11. 11.If 7x − 8 = 41, what is x? (a) 7 (b) 6 (c) 49 (d) 8
  12. 12.If 3x + 19 = x + 23, what is x? (a) 21 (b) 2 (c) 3 (d) 1
  13. 13.If 7x + 13 = 5x + 21, what is x? (a) 17 (b) 5 (c) 4 (d) 6
  14. 14.If 7x + 2 = 100, what is x? (a) 98 (b) 14 (c) 15 (d) 13
  15. 15.If 7x + 6 = 41, what is x? (a) 4 (b) 5 (c) 6 (d) 35
  16. 16.If x/5 + 6 = 11, what is x? (a) 5 (b) 85 (c) 49 (d) 25
  17. 17.If 8x + 12 = 108, what is x? (a) 96 (b) 12 (c) 15 (d) 13
  18. 18.If x/3 + 8 = 12, what is x? (a) 4 (b) 60 (c) 28 (d) 12
  19. 19.If 5x − 4 = 16, what is x? (a) 3 (b) 5 (c) 20 (d) 4
  20. 20.If 3x + 11 = x + 19, what is x? (a) 4 (b) 2 (c) 5 (d) 15
  21. 21.If 8x − 29 = 11, what is x? (a) 4 (b) 6 (c) 5 (d) 40
  22. 22.If 9x + 6 = 2x + 69, what is x? (a) 9 (b) 11 (c) 8 (d) 10
  23. 23.If 5x + 5 = 2x + 20, what is x? (a) 5 (b) 7 (c) 6 (d) 4
  24. 24.If x/5 + 15 = 20, what is x? (a) 175 (b) 25 (c) 5 (d) 85
  25. 25.If 5x + 20 = 75, what is x? (a) 19 (b) 12 (c) 11 (d) 55
  26. 26.If 5x − 3 = 7, what is x? (a) 3 (b) 10 (c) 1 (d) 2
  27. 27.If 6x + 16 = 2x + 40, what is x? (a) 7 (b) 3 (c) 14 (d) 6
  28. 28.If 4x + 14 = 38, what is x? (a) 24 (b) 7 (c) 6 (d) 13
  29. 29.If 6x + 20 = 104, what is x? (a) 15 (b) 13 (c) 14 (d) 84
  30. 30.If 4x + 5 = 2x + 21, what is x? (a) 8 (b) 10 (c) 13 (d) 9
  31. 31.If 3x − 20 = 16, what is x? (a) 11 (b) 12 (c) 13 (d) 36
  32. 32.If 8x + 13 = 7x + 25, what is x? (a) 12 (b) 14 (c) 38 (d) 13
  33. 33.If 6x + 19 = 2x + 35, what is x? (a) 6 (b) 5 (c) 4 (d) 2
  34. 34.If 7x + 30 = 100, what is x? (a) 10 (b) 11 (c) 70 (d) 9
  35. 35.If 2x + 15 = 25, what is x? (a) 6 (b) 20 (c) 10 (d) 5
  36. 36.If 6x + 3 = 21, what is x? (a) 18 (b) 2 (c) 3 (d) 4
  37. 37.If 9x + 13 = 3x + 37, what is x? (a) 6 (b) 5 (c) 2 (d) 4
  38. 38.If 2x + 2 = 18, what is x? (a) 9 (b) 8 (c) 10 (d) 16
  39. 39.If 8x + 17 = 7x + 18, what is x? (a) 35 (b) 2 (c) 3 (d) 1
  40. 40.If 5x − 37 = 13, what is x? (a) 11 (b) 9 (c) 50 (d) 10

Answer key

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

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