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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 226 · 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 4x + 1 = 2x + 3, what is x? (a) 2 (b) 4 (c) 1 (d) 3
  2. 2.If 7x − 7 = 21, what is x? (a) 28 (b) 4 (c) 5 (d) 2
  3. 3.If 3x − 34 = 11, what is x? (a) 15 (b) 45 (c) 16 (d) 14
  4. 4.If 7x + 16 = 4x + 43, what is x? (a) 10 (b) 9 (c) 8 (d) 11
  5. 5.If 2x − 6 = 12, what is x? (a) 10 (b) 3 (c) 18 (d) 9
  6. 6.If x/6 + 4 = 14, what is x? (a) 108 (b) 10 (c) 60 (d) 80
  7. 7.If x/4 + 8 = 19, what is x? (a) 11 (b) 108 (c) 68 (d) 44
  8. 8.If 8x − 10 = 6, what is x? (a) 3 (b) 16 (c) 1 (d) 2
  9. 9.If 7x + 11 = 25, what is x? (a) 1 (b) 3 (c) 2 (d) 14
  10. 10.If 7x + 12 = 5x + 36, what is x? (a) 12 (b) 2 (c) 13 (d) 24
  11. 11.If 4x + 28 = 76, what is x? (a) 12 (b) 13 (c) 26 (d) 48
  12. 12.If x/4 + 3 = 8, what is x? (a) 44 (b) 5 (c) 20 (d) 29
  13. 13.If 8x + 14 = 3x + 59, what is x? (a) 11 (b) 10 (c) 8 (d) 9
  14. 14.If 8x + 1 = 2x + 31, what is x? (a) 3 (b) 7 (c) 6 (d) 5
  15. 15.If 7x + 18 = 2x + 78, what is x? (a) 13 (b) 11 (c) 14 (d) 12
  16. 16.If 8x + 3 = 2x + 45, what is x? (a) 9 (b) 8 (c) 7 (d) 6
  17. 17.If 6x + 18 = 2x + 22, what is x? (a) 2 (b) 1 (c) 10 (d) 3
  18. 18.If 3x − 19 = 2, what is x? (a) 7 (b) 8 (c) 21 (d) 6
  19. 19.If 3x − 4 = 17, what is x? (a) 21 (b) 8 (c) 7 (d) 6
  20. 20.If 5x + 14 = 3x + 38, what is x? (a) 26 (b) 13 (c) 3 (d) 12
  21. 21.If x/4 + 13 = 22, what is x? (a) 140 (b) 36 (c) 9 (d) 75
  22. 22.If x/5 + 8 = 19, what is x? (a) 87 (b) 11 (c) 55 (d) 135
  23. 23.If x/3 + 9 = 12, what is x? (a) 9 (b) 27 (c) 3 (d) 63
  24. 24.If x/2 + 9 = 18, what is x? (a) 27 (b) 54 (c) 18 (d) 9
  25. 25.If 6x − 5 = 19, what is x? (a) 3 (b) 24 (c) 5 (d) 4
  26. 26.If 8x + 6 = 30, what is x? (a) 4 (b) 2 (c) 3 (d) 24
  27. 27.If 8x + 21 = 77, what is x? (a) 56 (b) 6 (c) 7 (d) 8
  28. 28.If x/2 + 14 = 17, what is x? (a) 62 (b) 20 (c) 6 (d) 3
  29. 29.If 4x + 25 = 45, what is x? (a) 4 (b) 5 (c) 6 (d) 20
  30. 30.If 3x − 10 = 8, what is x? (a) 5 (b) 18 (c) 6 (d) 7
  31. 31.If x/5 + 5 = 11, what is x? (a) 6 (b) 80 (c) 30 (d) 50
  32. 32.If 7x + 24 = 115, what is x? (a) 91 (b) 12 (c) 14 (d) 13
  33. 33.If 3x + 19 = 2x + 31, what is x? (a) 12 (b) 13 (c) 14 (d) 50
  34. 34.If 5x + 13 = 4x + 18, what is x? (a) 31 (b) 6 (c) 5 (d) 7
  35. 35.If 8x − 50 = 6, what is x? (a) 7 (b) 6 (c) 8 (d) 56
  36. 36.If x/5 + 14 = 25, what is x? (a) 195 (b) 111 (c) 11 (d) 55
  37. 37.If 9x + 3 = 111, what is x? (a) 108 (b) 13 (c) 11 (d) 12
  38. 38.If 2x − 4 = 4, what is x? (a) 8 (b) 3 (c) 5 (d) 4
  39. 39.If 2x + 5 = 19, what is x? (a) 12 (b) 7 (c) 14 (d) 8
  40. 40.If x/3 + 6 = 18, what is x? (a) 72 (b) 12 (c) 48 (d) 36

Answer key

  1. 1
  2. 4
  3. 15
  4. 9
  5. 9
  6. 60
  7. 44
  8. 2
  9. 2
  10. 12
  11. 12
  12. 20
  13. 9
  14. 5
  15. 12
  16. 7
  17. 1
  18. 7
  19. 7
  20. 12
  21. 36
  22. 55
  23. 9
  24. 18
  25. 4
  26. 3
  27. 7
  28. 6
  29. 5
  30. 6
  31. 30
  32. 13
  33. 12
  34. 5
  35. 7
  36. 55
  37. 12
  38. 4
  39. 7
  40. 36

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