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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 453 · 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 7x + 1 = 6x + 5, what is x? (a) 5 (b) 6 (c) 4 (d) 3
  2. 2.If 3x − 9 = 21, what is x? (a) 11 (b) 4 (c) 10 (d) 30
  3. 3.If 9x + 20 = 3x + 62, what is x? (a) 9 (b) 8 (c) 6 (d) 7
  4. 4.If 6x + 25 = 91, what is x? (a) 66 (b) 12 (c) 10 (d) 11
  5. 5.If 8x + 17 = 49, what is x? (a) 5 (b) 32 (c) 4 (d) 3
  6. 6.If 7x + 3 = 52, what is x? (a) 6 (b) 49 (c) 7 (d) 8
  7. 7.If 6x + 13 = x + 28, what is x? (a) 2 (b) 4 (c) 5 (d) 3
  8. 8.If 8x + 13 = 2x + 55, what is x? (a) 6 (b) 7 (c) 8 (d) 9
  9. 9.If 4x + 22 = 38, what is x? (a) 5 (b) 16 (c) 4 (d) 15
  10. 10.If 3x − 6 = 18, what is x? (a) 24 (b) 9 (c) 4 (d) 8
  11. 11.If 5x − 16 = 49, what is x? (a) 65 (b) 13 (c) 12 (d) 14
  12. 12.If x/3 + 11 = 22, what is x? (a) 99 (b) 55 (c) 33 (d) 11
  13. 13.If 6x + 6 = 5x + 8, what is x? (a) 3 (b) 14 (c) 4 (d) 2
  14. 14.If 4x + 17 = 2x + 31, what is x? (a) 24 (b) 8 (c) 9 (d) 7
  15. 15.If x/5 + 9 = 13, what is x? (a) 4 (b) 110 (c) 56 (d) 20
  16. 16.If 9x + 30 = 57, what is x? (a) 3 (b) 4 (c) 27 (d) 2
  17. 17.If x/5 + 14 = 25, what is x? (a) 195 (b) 11 (c) 55 (d) 111
  18. 18.If 7x + 20 = 62, what is x? (a) 42 (b) 7 (c) 5 (d) 6
  19. 19.If 5x + 2 = 17, what is x? (a) 4 (b) 15 (c) 2 (d) 3
  20. 20.If 4x + 3 = 3x + 8, what is x? (a) 5 (b) 7 (c) 6 (d) 11
  21. 21.If 3x − 26 = 19, what is x? (a) 15 (b) 16 (c) 45 (d) 14
  22. 22.If 3x − 1 = 35, what is x? (a) 36 (b) 13 (c) 11 (d) 12
  23. 23.If 5x + 17 = 2x + 50, what is x? (a) 13 (b) 10 (c) 11 (d) 12
  24. 24.If 5x − 23 = 47, what is x? (a) 15 (b) 14 (c) 13 (d) 70
  25. 25.If 9x + 15 = x + 79, what is x? (a) 8 (b) 9 (c) 10 (d) 7
  26. 26.If 5x + 10 = 4x + 13, what is x? (a) 5 (b) 4 (c) 3 (d) 23
  27. 27.If 7x + 5 = 68, what is x? (a) 63 (b) 10 (c) 9 (d) 8
  28. 28.If 8x + 26 = 130, what is x? (a) 12 (b) 14 (c) 104 (d) 13
  29. 29.If 8x + 1 = 2x + 55, what is x? (a) 9 (b) 8 (c) 11 (d) 10
  30. 30.If 8x − 12 = 4, what is x? (a) 3 (b) 2 (c) 16 (d) 1
  31. 31.If 4x + 3 = 51, what is x? (a) 48 (b) 13 (c) 11 (d) 12
  32. 32.If 4x + 17 = 3x + 26, what is x? (a) 10 (b) 9 (c) 11 (d) 43
  33. 33.If 3x − 9 = 18, what is x? (a) 27 (b) 9 (c) 10 (d) 3
  34. 34.If 9x + 21 = 75, what is x? (a) 7 (b) 5 (c) 54 (d) 6
  35. 35.If 5x + 4 = 19, what is x? (a) 4 (b) 15 (c) 2 (d) 3
  36. 36.If 4x + 29 = 85, what is x? (a) 56 (b) 13 (c) 15 (d) 14
  37. 37.If 2x − 5 = 1, what is x? (a) 4 (b) 3 (c) 6 (d) 2
  38. 38.If 7x − 13 = 50, what is x? (a) 63 (b) 9 (c) 8 (d) 10
  39. 39.If 8x + 20 = 5x + 50, what is x? (a) 11 (b) 9 (c) 10 (d) 12
  40. 40.If 3x − 7 = 38, what is x? (a) 15 (b) 16 (c) 14 (d) 45

Answer key

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

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