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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 773 · 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 + 8 = 3x + 12, what is x? (a) 6 (b) 4 (c) 5 (d) 20
  2. 2.If 3x + 12 = x + 34, what is x? (a) 23 (b) 11 (c) 12 (d) 13
  3. 3.If 2x + 21 = 35, what is x? (a) 8 (b) 28 (c) 7 (d) 14
  4. 4.If x/2 + 4 = 10, what is x? (a) 16 (b) 6 (c) 12 (d) 28
  5. 5.If 4x + 14 = 58, what is x? (a) 44 (b) 18 (c) 12 (d) 11
  6. 6.If 4x − 40 = 4, what is x? (a) 11 (b) 10 (c) 12 (d) 44
  7. 7.If x/4 + 14 = 17, what is x? (a) 54 (b) 124 (c) 12 (d) 3
  8. 8.If 4x − 26 = 22, what is x? (a) 13 (b) 12 (c) 11 (d) 48
  9. 9.If 7x + 3 = 17, what is x? (a) 14 (b) 2 (c) 3 (d) 1
  10. 10.If 9x − 23 = 13, what is x? (a) 36 (b) 3 (c) 5 (d) 4
  11. 11.If 3x + 4 = x + 8, what is x? (a) 3 (b) 2 (c) 1 (d) 6
  12. 12.If 5x + 9 = 64, what is x? (a) 12 (b) 10 (c) 55 (d) 11
  13. 13.If 5x − 5 = 5, what is x? (a) 3 (b) 1 (c) 10 (d) 2
  14. 14.If 4x − 16 = 20, what is x? (a) 1 (b) 9 (c) 36 (d) 10
  15. 15.If 7x + 24 = 52, what is x? (a) 4 (b) 3 (c) 28 (d) 5
  16. 16.If 4x − 6 = 46, what is x? (a) 14 (b) 10 (c) 52 (d) 13
  17. 17.If 2x + 27 = 31, what is x? (a) 29 (b) 2 (c) 4 (d) 3
  18. 18.If 5x + 10 = 20, what is x? (a) 6 (b) 10 (c) 3 (d) 2
  19. 19.If 8x + 26 = 90, what is x? (a) 64 (b) 7 (c) 8 (d) 9
  20. 20.If x/4 + 11 = 17, what is x? (a) 24 (b) 57 (c) 112 (d) 6
  21. 21.If 4x + 11 = 2x + 27, what is x? (a) 10 (b) 9 (c) 8 (d) 19
  22. 22.If 4x + 6 = x + 24, what is x? (a) 8 (b) 7 (c) 6 (d) 10
  23. 23.If 3x − 4 = 5, what is x? (a) 9 (b) 4 (c) 2 (d) 3
  24. 24.If 7x − 57 = 34, what is x? (a) 91 (b) 12 (c) 14 (d) 13
  25. 25.If 6x + 13 = 2x + 41, what is x? (a) 7 (b) 9 (c) 6 (d) 8
  26. 26.If 7x + 29 = 43, what is x? (a) 1 (b) 2 (c) 3 (d) 14
  27. 27.If x/5 + 13 = 25, what is x? (a) 12 (b) 112 (c) 60 (d) 190
  28. 28.If 3x + 17 = 2x + 27, what is x? (a) 10 (b) 11 (c) 2 (d) 44
  29. 29.If 6x + 6 = 3x + 39, what is x? (a) 12 (b) 15 (c) 11 (d) 13
  30. 30.If 5x + 3 = 73, what is x? (a) 70 (b) 15 (c) 14 (d) 13
  31. 31.If 9x + 1 = 28, what is x? (a) 27 (b) 2 (c) 3 (d) 4
  32. 32.If x/2 + 14 = 21, what is x? (a) 70 (b) 28 (c) 14 (d) 7
  33. 33.If 8x + 4 = 4x + 20, what is x? (a) 3 (b) 6 (c) 5 (d) 4
  34. 34.If 6x + 30 = 42, what is x? (a) 12 (b) 3 (c) 2 (d) 1
  35. 35.If 8x + 7 = 127, what is x? (a) 15 (b) 14 (c) 16 (d) 120
  36. 36.If 7x + 1 = 57, what is x? (a) 9 (b) 56 (c) 8 (d) 7
  37. 37.If 6x + 6 = 2x + 14, what is x? (a) 2 (b) 3 (c) 5 (d) 1
  38. 38.If 5x + 17 = 92, what is x? (a) 75 (b) 16 (c) 15 (d) 14
  39. 39.If 3x − 16 = 5, what is x? (a) 21 (b) 6 (c) 8 (d) 7
  40. 40.If 3x − 3 = 6, what is x? (a) 4 (b) 9 (c) 3 (d) 1

Answer key

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

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