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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 318 · 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 + 5, what is x? (a) 2 (b) 1 (c) 3 (d) 4
  2. 2.If 9x + 13 = 7x + 25, what is x? (a) 8 (b) 7 (c) 6 (d) 19
  3. 3.If x/2 + 14 = 18, what is x? (a) 22 (b) 64 (c) 4 (d) 8
  4. 4.If 8x + 6 = 22, what is x? (a) 16 (b) 1 (c) 2 (d) 3
  5. 5.If 7x + 14 = 3x + 30, what is x? (a) 5 (b) 6 (c) 11 (d) 4
  6. 6.If 4x + 8 = 44, what is x? (a) 9 (b) 10 (c) 13 (d) 36
  7. 7.If 9x + 9 = 2x + 79, what is x? (a) 9 (b) 10 (c) 11 (d) 12
  8. 8.If 3x − 10 = 5, what is x? (a) 15 (b) 6 (c) 4 (d) 5
  9. 9.If x/2 + 13 = 22, what is x? (a) 18 (b) 9 (c) 31 (d) 70
  10. 10.If 4x − 7 = 37, what is x? (a) 44 (b) 12 (c) 10 (d) 11
  11. 11.If 6x + 13 = 4x + 17, what is x? (a) 15 (b) 4 (c) 2 (d) 3
  12. 12.If 8x + 10 = 7x + 14, what is x? (a) 24 (b) 5 (c) 4 (d) 6
  13. 13.If 6x − 47 = 1, what is x? (a) 8 (b) 7 (c) 9 (d) 48
  14. 14.If x/5 + 6 = 9, what is x? (a) 75 (b) 3 (c) 39 (d) 15
  15. 15.If 5x + 2 = 12, what is x? (a) 2 (b) 1 (c) 10 (d) 3
  16. 16.If x/4 + 4 = 16, what is x? (a) 80 (b) 48 (c) 12 (d) 60
  17. 17.If 2x − 21 = 1, what is x? (a) 22 (b) 11 (c) 10 (d) 12
  18. 18.If 9x + 14 = 7x + 36, what is x? (a) 12 (b) 25 (c) 13 (d) 11
  19. 19.If 9x + 6 = 96, what is x? (a) 90 (b) 11 (c) 10 (d) 9
  20. 20.If 7x + 15 = 2x + 25, what is x? (a) 8 (b) 3 (c) 2 (d) 4
  21. 21.If 7x + 24 = 59, what is x? (a) 35 (b) 4 (c) 5 (d) 6
  22. 22.If 5x − 8 = 17, what is x? (a) 6 (b) 5 (c) 4 (d) 25
  23. 23.If 6x + 4 = 88, what is x? (a) 15 (b) 84 (c) 13 (d) 14
  24. 24.If 6x + 17 = 4x + 35, what is x? (a) 10 (b) 11 (c) 26 (d) 9
  25. 25.If x/3 + 12 = 22, what is x? (a) 102 (b) 10 (c) 54 (d) 30
  26. 26.If x/5 + 9 = 11, what is x? (a) 46 (b) 2 (c) 10 (d) 100
  27. 27.If 3x − 36 = 9, what is x? (a) 14 (b) 16 (c) 45 (d) 15
  28. 28.If 2x + 25 = 53, what is x? (a) 39 (b) 28 (c) 14 (d) 15
  29. 29.If 7x + 2 = x + 14, what is x? (a) 3 (b) 1 (c) 4 (d) 2
  30. 30.If 3x + 21 = 63, what is x? (a) 42 (b) 28 (c) 14 (d) 15
  31. 31.If 8x + 8 = 40, what is x? (a) 6 (b) 32 (c) 4 (d) 5
  32. 32.If 4x + 15 = 59, what is x? (a) 10 (b) 12 (c) 11 (d) 44
  33. 33.If 6x − 41 = 7, what is x? (a) 9 (b) 7 (c) 8 (d) 48
  34. 34.If x/3 + 1 = 8, what is x? (a) 7 (b) 21 (c) 27 (d) 23
  35. 35.If 7x + 9 = 65, what is x? (a) 9 (b) 7 (c) 8 (d) 56
  36. 36.If 5x − 13 = 27, what is x? (a) 7 (b) 9 (c) 40 (d) 8
  37. 37.If 5x + 3 = 3x + 27, what is x? (a) 3 (b) 12 (c) 15 (d) 13
  38. 38.If 7x + 16 = 107, what is x? (a) 12 (b) 91 (c) 13 (d) 14
  39. 39.If 3x + 6 = 15, what is x? (a) 3 (b) 4 (c) 7 (d) 9
  40. 40.If x/3 + 12 = 20, what is x? (a) 24 (b) 48 (c) 96 (d) 8

Answer key

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

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