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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 724 · 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 2x + 25 = 31, what is x? (a) 4 (b) 28 (c) 6 (d) 3
  2. 2.If 6x + 27 = 81, what is x? (a) 54 (b) 9 (c) 18 (d) 10
  3. 3.If 3x − 15 = 3, what is x? (a) 5 (b) 7 (c) 6 (d) 18
  4. 4.If 2x + 8 = 34, what is x? (a) 26 (b) 21 (c) 13 (d) 14
  5. 5.If 2x + 8 = 36, what is x? (a) 15 (b) 14 (c) 22 (d) 28
  6. 6.If 5x + 7 = 77, what is x? (a) 70 (b) 15 (c) 13 (d) 14
  7. 7.If 9x + 20 = 6x + 56, what is x? (a) 13 (b) 14 (c) 12 (d) 11
  8. 8.If 7x + 24 = 73, what is x? (a) 6 (b) 7 (c) 8 (d) 49
  9. 9.If 8x + 18 = 7x + 30, what is x? (a) 48 (b) 12 (c) 13 (d) 14
  10. 10.If 4x + 28 = 40, what is x? (a) 17 (b) 3 (c) 4 (d) 12
  11. 11.If x/5 + 9 = 18, what is x? (a) 9 (b) 81 (c) 135 (d) 45
  12. 12.If 8x + 2 = 7x + 13, what is x? (a) 13 (b) 15 (c) 11 (d) 12
  13. 13.If x/2 + 12 = 23, what is x? (a) 34 (b) 11 (c) 70 (d) 22
  14. 14.If 9x + 4 = 6x + 31, what is x? (a) 9 (b) 10 (c) 8 (d) 11
  15. 15.If x/3 + 11 = 16, what is x? (a) 81 (b) 5 (c) 15 (d) 37
  16. 16.If 3x + 13 = 2x + 22, what is x? (a) 11 (b) 10 (c) 9 (d) 35
  17. 17.If 6x − 23 = 61, what is x? (a) 13 (b) 15 (c) 14 (d) 84
  18. 18.If 3x + 6 = x + 16, what is x? (a) 11 (b) 7 (c) 6 (d) 5
  19. 19.If 4x + 14 = 2x + 32, what is x? (a) 10 (b) 3 (c) 9 (d) 23
  20. 20.If 6x − 14 = 10, what is x? (a) 24 (b) 5 (c) 3 (d) 4
  21. 21.If 2x + 24 = 36, what is x? (a) 30 (b) 12 (c) 7 (d) 6
  22. 22.If x/3 + 11 = 13, what is x? (a) 72 (b) 6 (c) 2 (d) 28
  23. 23.If 5x + 3 = x + 47, what is x? (a) 13 (b) 11 (c) 12 (d) 10
  24. 24.If x/3 + 4 = 6, what is x? (a) 2 (b) 14 (c) 6 (d) 30
  25. 25.If x/5 + 13 = 18, what is x? (a) 77 (b) 155 (c) 25 (d) 5
  26. 26.If x/5 + 12 = 15, what is x? (a) 63 (b) 3 (c) 135 (d) 15
  27. 27.If x/3 + 5 = 13, what is x? (a) 34 (b) 54 (c) 24 (d) 8
  28. 28.If 7x − 3 = 11, what is x? (a) 2 (b) 14 (c) 3 (d) 1
  29. 29.If 7x + 3 = x + 51, what is x? (a) 9 (b) 8 (c) 6 (d) 10
  30. 30.If 4x + 15 = 2x + 19, what is x? (a) 2 (b) 17 (c) 4 (d) 3
  31. 31.If 9x + 5 = 86, what is x? (a) 81 (b) 8 (c) 9 (d) 10
  32. 32.If x/4 + 1 = 7, what is x? (a) 27 (b) 32 (c) 6 (d) 24
  33. 33.If 8x − 23 = 1, what is x? (a) 2 (b) 3 (c) 24 (d) 4
  34. 34.If 4x + 7 = 2x + 29, what is x? (a) 11 (b) 18 (c) 12 (d) 13
  35. 35.If x/3 + 14 = 18, what is x? (a) 96 (b) 40 (c) 12 (d) 4
  36. 36.If 3x + 1 = 31, what is x? (a) 9 (b) 11 (c) 30 (d) 10
  37. 37.If x/6 + 8 = 12, what is x? (a) 64 (b) 120 (c) 24 (d) 4
  38. 38.If 5x + 11 = 26, what is x? (a) 3 (b) 4 (c) 2 (d) 15
  39. 39.If 7x + 7 = x + 19, what is x? (a) 4 (b) 3 (c) 2 (d) 1
  40. 40.If 2x + 10 = 14, what is x? (a) 12 (b) 3 (c) 4 (d) 2

Answer key

  1. 3
  2. 9
  3. 6
  4. 13
  5. 14
  6. 14
  7. 12
  8. 7
  9. 12
  10. 3
  11. 45
  12. 11
  13. 22
  14. 9
  15. 15
  16. 9
  17. 14
  18. 5
  19. 9
  20. 4
  21. 6
  22. 6
  23. 11
  24. 6
  25. 25
  26. 15
  27. 24
  28. 2
  29. 8
  30. 2
  31. 9
  32. 24
  33. 3
  34. 11
  35. 12
  36. 10
  37. 24
  38. 3
  39. 2
  40. 2

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