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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 193 · 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 + 21 = 39, what is x? (a) 20 (b) 7 (c) 6 (d) 18
  2. 2.If 5x + 1 = 3x + 25, what is x? (a) 13 (b) 3 (c) 14 (d) 12
  3. 3.If 7x + 2 = 79, what is x? (a) 10 (b) 77 (c) 12 (d) 11
  4. 4.If x/2 + 15 = 25, what is x? (a) 35 (b) 10 (c) 20 (d) 80
  5. 5.If 4x + 17 = 57, what is x? (a) 11 (b) 9 (c) 40 (d) 10
  6. 6.If 2x − 6 = 10, what is x? (a) 16 (b) 2 (c) 8 (d) 9
  7. 7.If x/6 + 11 = 22, what is x? (a) 198 (b) 66 (c) 121 (d) 11
  8. 8.If 5x − 32 = 3, what is x? (a) 35 (b) 7 (c) 6 (d) 8
  9. 9.If 2x − 16 = 2, what is x? (a) 9 (b) 8 (c) 10 (d) 18
  10. 10.If 6x + 13 = 49, what is x? (a) 7 (b) 6 (c) 36 (d) 5
  11. 11.If 6x + 11 = 5x + 14, what is x? (a) 4 (b) 25 (c) 5 (d) 3
  12. 12.If 8x + 6 = 2x + 54, what is x? (a) 9 (b) 7 (c) 8 (d) 10
  13. 13.If 7x + 2 = 3x + 30, what is x? (a) 8 (b) 6 (c) 7 (d) 9
  14. 14.If 4x + 18 = 2x + 22, what is x? (a) 4 (b) 2 (c) 20 (d) 3
  15. 15.If 5x − 25 = 15, what is x? (a) 8 (b) 40 (c) 9 (d) 7
  16. 16.If 5x − 21 = 39, what is x? (a) 60 (b) 13 (c) 11 (d) 12
  17. 17.If x/3 + 14 = 24, what is x? (a) 10 (b) 58 (c) 30 (d) 114
  18. 18.If x/4 + 8 = 17, what is x? (a) 60 (b) 100 (c) 36 (d) 9
  19. 19.If 8x + 6 = 7x + 12, what is x? (a) 6 (b) 18 (c) 8 (d) 7
  20. 20.If x/4 + 7 = 19, what is x? (a) 12 (b) 48 (c) 69 (d) 104
  21. 21.If 3x − 17 = 4, what is x? (a) 8 (b) 21 (c) 6 (d) 7
  22. 22.If x/5 + 4 = 6, what is x? (a) 2 (b) 50 (c) 26 (d) 10
  23. 23.If 4x − 15 = 21, what is x? (a) 10 (b) 8 (c) 36 (d) 9
  24. 24.If 4x + 1 = 2x + 13, what is x? (a) 2 (b) 7 (c) 6 (d) 8
  25. 25.If 5x + 3 = 43, what is x? (a) 40 (b) 8 (c) 7 (d) 9
  26. 26.If 5x + 5 = 55, what is x? (a) 10 (b) 12 (c) 11 (d) 50
  27. 27.If x/4 + 8 = 10, what is x? (a) 32 (b) 72 (c) 8 (d) 2
  28. 28.If 3x + 4 = 2x + 13, what is x? (a) 17 (b) 10 (c) 11 (d) 9
  29. 29.If 3x − 17 = 10, what is x? (a) 9 (b) 27 (c) 10 (d) 8
  30. 30.If 4x − 37 = 7, what is x? (a) 44 (b) 10 (c) 11 (d) 12
  31. 31.If x/2 + 7 = 18, what is x? (a) 11 (b) 22 (c) 29 (d) 50
  32. 32.If 8x + 5 = 7x + 8, what is x? (a) 13 (b) 4 (c) 5 (d) 3
  33. 33.If 7x + 14 = 2x + 64, what is x? (a) 12 (b) 11 (c) 9 (d) 10
  34. 34.If 9x − 18 = 90, what is x? (a) 12 (b) 108 (c) 8 (d) 13
  35. 35.If 7x + 11 = 88, what is x? (a) 11 (b) 10 (c) 77 (d) 12
  36. 36.If 4x − 3 = 13, what is x? (a) 5 (b) 3 (c) 16 (d) 4
  37. 37.If x/4 + 14 = 16, what is x? (a) 8 (b) 120 (c) 2 (d) 50
  38. 38.If 3x + 5 = 11, what is x? (a) 1 (b) 2 (c) 6 (d) 3
  39. 39.If 4x + 9 = 2x + 17, what is x? (a) 6 (b) 13 (c) 4 (d) 5
  40. 40.If x/2 + 8 = 12, what is x? (a) 40 (b) 8 (c) 16 (d) 4

Answer key

  1. 6
  2. 12
  3. 11
  4. 20
  5. 10
  6. 8
  7. 66
  8. 7
  9. 9
  10. 6
  11. 3
  12. 8
  13. 7
  14. 2
  15. 8
  16. 12
  17. 30
  18. 36
  19. 6
  20. 48
  21. 7
  22. 10
  23. 9
  24. 6
  25. 8
  26. 10
  27. 8
  28. 9
  29. 9
  30. 11
  31. 22
  32. 3
  33. 10
  34. 12
  35. 11
  36. 4
  37. 8
  38. 2
  39. 4
  40. 8

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