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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 272 · 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 + 7 = 5x + 11, what is x? (a) 9 (b) 3 (c) 2 (d) 4
  2. 2.If 7x + 26 = 47, what is x? (a) 4 (b) 3 (c) 21 (d) 2
  3. 3.If x/6 + 1 = 5, what is x? (a) 4 (b) 29 (c) 24 (d) 36
  4. 4.If 2x + 16 = 42, what is x? (a) 29 (b) 13 (c) 26 (d) 14
  5. 5.If x/4 + 4 = 6, what is x? (a) 40 (b) 20 (c) 8 (d) 2
  6. 6.If 2x − 3 = 7, what is x? (a) 10 (b) 2 (c) 5 (d) 6
  7. 7.If 2x + 16 = 26, what is x? (a) 5 (b) 10 (c) 6 (d) 21
  8. 8.If 5x + 15 = 60, what is x? (a) 15 (b) 10 (c) 45 (d) 9
  9. 9.If 6x − 50 = 10, what is x? (a) 10 (b) 60 (c) 11 (d) 9
  10. 10.If 2x − 2 = 4, what is x? (a) 4 (b) 6 (c) 1 (d) 3
  11. 11.If 3x − 6 = 12, what is x? (a) 18 (b) 6 (c) 7 (d) 2
  12. 12.If 2x − 5 = 23, what is x? (a) 28 (b) 9 (c) 15 (d) 14
  13. 13.If 7x + 6 = 20, what is x? (a) 2 (b) 3 (c) 14 (d) 1
  14. 14.If 9x + 5 = 104, what is x? (a) 99 (b) 11 (c) 12 (d) 10
  15. 15.If 9x + 1 = 64, what is x? (a) 63 (b) 6 (c) 7 (d) 8
  16. 16.If 8x − 4 = 12, what is x? (a) 2 (b) 1 (c) 16 (d) 3
  17. 17.If 8x + 10 = 6x + 18, what is x? (a) 6 (b) 4 (c) 14 (d) 5
  18. 18.If 8x + 13 = 3x + 53, what is x? (a) 7 (b) 9 (c) 10 (d) 8
  19. 19.If x/3 + 5 = 9, what is x? (a) 12 (b) 4 (c) 42 (d) 22
  20. 20.If x/6 + 4 = 8, what is x? (a) 4 (b) 24 (c) 72 (d) 44
  21. 21.If x/4 + 2 = 14, what is x? (a) 64 (b) 48 (c) 54 (d) 12
  22. 22.If 4x + 6 = 3x + 13, what is x? (a) 8 (b) 7 (c) 1 (d) 19
  23. 23.If 5x − 2 = 8, what is x? (a) 3 (b) 10 (c) 1 (d) 2
  24. 24.If 7x − 29 = 48, what is x? (a) 77 (b) 10 (c) 11 (d) 12
  25. 25.If 4x + 1 = 57, what is x? (a) 14 (b) 56 (c) 15 (d) 13
  26. 26.If x/3 + 4 = 13, what is x? (a) 9 (b) 35 (c) 27 (d) 51
  27. 27.If 5x − 57 = 8, what is x? (a) 65 (b) 14 (c) 13 (d) 12
  28. 28.If 2x + 9 = 21, what is x? (a) 7 (b) 12 (c) 6 (d) 15
  29. 29.If 2x − 3 = 9, what is x? (a) 3 (b) 6 (c) 12 (d) 7
  30. 30.If 6x + 12 = 30, what is x? (a) 4 (b) 7 (c) 18 (d) 3
  31. 31.If x/3 + 2 = 12, what is x? (a) 34 (b) 10 (c) 42 (d) 30
  32. 32.If 3x + 6 = 2x + 18, what is x? (a) 24 (b) 13 (c) 12 (d) 14
  33. 33.If 6x + 29 = 65, what is x? (a) 36 (b) 6 (c) 7 (d) 5
  34. 34.If x/3 + 2 = 11, what is x? (a) 31 (b) 27 (c) 39 (d) 9
  35. 35.If x/6 + 11 = 13, what is x? (a) 12 (b) 67 (c) 144 (d) 2
  36. 36.If 3x + 14 = x + 32, what is x? (a) 9 (b) 23 (c) 10 (d) 11
  37. 37.If x/5 + 2 = 12, what is x? (a) 58 (b) 70 (c) 50 (d) 10
  38. 38.If 9x + 22 = 130, what is x? (a) 12 (b) 108 (c) 11 (d) 13
  39. 39.If 7x + 7 = 77, what is x? (a) 12 (b) 70 (c) 10 (d) 11
  40. 40.If 5x + 19 = x + 31, what is x? (a) 4 (b) 5 (c) 2 (d) 3

Answer key

  1. 2
  2. 3
  3. 24
  4. 13
  5. 8
  6. 5
  7. 5
  8. 9
  9. 10
  10. 3
  11. 6
  12. 14
  13. 2
  14. 11
  15. 7
  16. 2
  17. 4
  18. 8
  19. 12
  20. 24
  21. 48
  22. 7
  23. 2
  24. 11
  25. 14
  26. 27
  27. 13
  28. 6
  29. 6
  30. 3
  31. 30
  32. 12
  33. 6
  34. 27
  35. 12
  36. 9
  37. 50
  38. 12
  39. 10
  40. 3

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