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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 728 · 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 6x + 16 = x + 31, what is x? (a) 3 (b) 2 (c) 5 (d) 4
  2. 2.If 9x + 13 = 4x + 73, what is x? (a) 14 (b) 11 (c) 13 (d) 12
  3. 3.If 4x + 3 = 3x + 8, what is x? (a) 6 (b) 11 (c) 7 (d) 5
  4. 4.If 5x − 17 = 8, what is x? (a) 25 (b) 4 (c) 5 (d) 6
  5. 5.If 5x − 12 = 18, what is x? (a) 6 (b) 5 (c) 7 (d) 30
  6. 6.If 6x − 13 = 59, what is x? (a) 72 (b) 12 (c) 13 (d) 11
  7. 7.If x/6 + 10 = 19, what is x? (a) 174 (b) 54 (c) 104 (d) 9
  8. 8.If 8x + 3 = 83, what is x? (a) 9 (b) 80 (c) 11 (d) 10
  9. 9.If 4x − 49 = 7, what is x? (a) 13 (b) 15 (c) 14 (d) 56
  10. 10.If 9x + 4 = 7x + 24, what is x? (a) 10 (b) 11 (c) 12 (d) 14
  11. 11.If 9x + 27 = 117, what is x? (a) 11 (b) 10 (c) 90 (d) 16
  12. 12.If x/6 + 2 = 5, what is x? (a) 18 (b) 3 (c) 28 (d) 42
  13. 13.If 3x − 16 = 2, what is x? (a) 5 (b) 7 (c) 6 (d) 18
  14. 14.If 6x + 19 = 49, what is x? (a) 30 (b) 5 (c) 4 (d) 6
  15. 15.If 5x + 7 = 4x + 14, what is x? (a) 8 (b) 21 (c) 7 (d) 9
  16. 16.If 2x + 1 = 11, what is x? (a) 4 (b) 6 (c) 5 (d) 10
  17. 17.If 4x + 9 = 41, what is x? (a) 7 (b) 8 (c) 9 (d) 32
  18. 18.If x/2 + 2 = 6, what is x? (a) 4 (b) 10 (c) 8 (d) 16
  19. 19.If 6x + 18 = 2x + 22, what is x? (a) 10 (b) 1 (c) 2 (d) 3
  20. 20.If x/5 + 1 = 4, what is x? (a) 25 (b) 19 (c) 3 (d) 15
  21. 21.If 5x + 25 = 75, what is x? (a) 11 (b) 20 (c) 50 (d) 10
  22. 22.If x/3 + 13 = 15, what is x? (a) 6 (b) 84 (c) 2 (d) 32
  23. 23.If 3x + 19 = 2x + 25, what is x? (a) 8 (b) 7 (c) 6 (d) 44
  24. 24.If 9x + 10 = 7x + 22, what is x? (a) 16 (b) 8 (c) 7 (d) 6
  25. 25.If 3x + 8 = 2x + 18, what is x? (a) 26 (b) 2 (c) 11 (d) 10
  26. 26.If 4x + 9 = 2x + 13, what is x? (a) 3 (b) 2 (c) 11 (d) 4
  27. 27.If x/2 + 4 = 8, what is x? (a) 12 (b) 8 (c) 24 (d) 4
  28. 28.If 8x − 20 = 12, what is x? (a) 32 (b) 5 (c) 3 (d) 4
  29. 29.If 3x + 2 = 20, what is x? (a) 18 (b) 7 (c) 6 (d) 5
  30. 30.If 3x + 10 = x + 28, what is x? (a) 19 (b) 11 (c) 10 (d) 9
  31. 31.If 5x − 1 = 44, what is x? (a) 45 (b) 9 (c) 10 (d) 8
  32. 32.If 9x + 10 = 7x + 12, what is x? (a) 11 (b) 2 (c) 3 (d) 1
  33. 33.If 7x − 35 = 28, what is x? (a) 9 (b) 63 (c) 10 (d) 8
  34. 34.If 4x − 19 = 21, what is x? (a) 11 (b) 9 (c) 40 (d) 10
  35. 35.If 7x + 9 = 58, what is x? (a) 49 (b) 8 (c) 7 (d) 6
  36. 36.If 5x + 7 = 52, what is x? (a) 10 (b) 45 (c) 9 (d) 8
  37. 37.If 9x + 4 = 130, what is x? (a) 15 (b) 13 (c) 14 (d) 126
  38. 38.If x/4 + 5 = 13, what is x? (a) 72 (b) 32 (c) 8 (d) 47
  39. 39.If 5x + 11 = 61, what is x? (a) 50 (b) 11 (c) 10 (d) 9
  40. 40.If 6x + 20 = 56, what is x? (a) 7 (b) 6 (c) 5 (d) 36

Answer key

  1. 3
  2. 12
  3. 5
  4. 5
  5. 6
  6. 12
  7. 54
  8. 10
  9. 14
  10. 10
  11. 10
  12. 18
  13. 6
  14. 5
  15. 7
  16. 5
  17. 8
  18. 8
  19. 1
  20. 15
  21. 10
  22. 6
  23. 6
  24. 6
  25. 10
  26. 2
  27. 8
  28. 4
  29. 6
  30. 9
  31. 9
  32. 1
  33. 9
  34. 10
  35. 7
  36. 9
  37. 14
  38. 32
  39. 10
  40. 6

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