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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 796 · 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 9x + 24 = 114, what is x? (a) 11 (b) 9 (c) 90 (d) 10
  2. 2.If 5x + 10 = 2x + 43, what is x? (a) 13 (b) 12 (c) 10 (d) 11
  3. 3.If 7x + 28 = 84, what is x? (a) 16 (b) 56 (c) 9 (d) 8
  4. 4.If 8x + 6 = 4x + 46, what is x? (a) 11 (b) 12 (c) 13 (d) 10
  5. 5.If 7x + 22 = 85, what is x? (a) 10 (b) 63 (c) 9 (d) 8
  6. 6.If 4x + 17 = 29, what is x? (a) 12 (b) 2 (c) 3 (d) 4
  7. 7.If x/6 + 2 = 14, what is x? (a) 82 (b) 96 (c) 12 (d) 72
  8. 8.If 7x − 1 = 13, what is x? (a) 3 (b) 14 (c) 1 (d) 2
  9. 9.If 7x + 17 = 3x + 29, what is x? (a) 5 (b) 3 (c) 2 (d) 4
  10. 10.If 8x + 5 = 7x + 15, what is x? (a) 20 (b) 12 (c) 10 (d) 11
  11. 11.If 3x + 8 = 53, what is x? (a) 14 (b) 16 (c) 15 (d) 45
  12. 12.If x/3 + 2 = 6, what is x? (a) 16 (b) 4 (c) 24 (d) 12
  13. 13.If 3x − 27 = 12, what is x? (a) 13 (b) 14 (c) 39 (d) 12
  14. 14.If x/3 + 6 = 12, what is x? (a) 30 (b) 54 (c) 18 (d) 6
  15. 15.If 3x + 23 = 38, what is x? (a) 15 (b) 6 (c) 4 (d) 5
  16. 16.If x/3 + 4 = 16, what is x? (a) 44 (b) 12 (c) 60 (d) 36
  17. 17.If 7x + 18 = 109, what is x? (a) 14 (b) 13 (c) 12 (d) 91
  18. 18.If 4x + 8 = 68, what is x? (a) 15 (b) 16 (c) 60 (d) 19
  19. 19.If 2x − 1 = 7, what is x? (a) 5 (b) 4 (c) 3 (d) 8
  20. 20.If x/2 + 10 = 16, what is x? (a) 52 (b) 6 (c) 12 (d) 22
  21. 21.If 7x + 7 = 28, what is x? (a) 21 (b) 3 (c) 5 (d) 4
  22. 22.If 3x + 14 = x + 28, what is x? (a) 8 (b) 21 (c) 7 (d) 9
  23. 23.If 3x + 4 = 10, what is x? (a) 3 (b) 2 (c) 1 (d) 6
  24. 24.If 6x − 3 = 21, what is x? (a) 4 (b) 24 (c) 3 (d) 5
  25. 25.If x/6 + 1 = 3, what is x? (a) 24 (b) 17 (c) 2 (d) 12
  26. 26.If x/4 + 5 = 15, what is x? (a) 40 (b) 55 (c) 80 (d) 10
  27. 27.If 5x + 19 = 2x + 28, what is x? (a) 4 (b) 3 (c) 5 (d) 2
  28. 28.If 8x + 3 = 2x + 39, what is x? (a) 5 (b) 7 (c) 8 (d) 6
  29. 29.If x/4 + 3 = 6, what is x? (a) 12 (b) 36 (c) 3 (d) 21
  30. 30.If 5x + 17 = 47, what is x? (a) 30 (b) 6 (c) 5 (d) 7
  31. 31.If 7x + 18 = 81, what is x? (a) 63 (b) 10 (c) 9 (d) 8
  32. 32.If 6x + 18 = 48, what is x? (a) 6 (b) 11 (c) 5 (d) 30
  33. 33.If 3x + 9 = 51, what is x? (a) 20 (b) 15 (c) 14 (d) 42
  34. 34.If 6x + 26 = 116, what is x? (a) 16 (b) 90 (c) 15 (d) 14
  35. 35.If x/2 + 14 = 23, what is x? (a) 9 (b) 32 (c) 74 (d) 18
  36. 36.If x/2 + 4 = 11, what is x? (a) 30 (b) 7 (c) 14 (d) 18
  37. 37.If 3x + 7 = 13, what is x? (a) 1 (b) 3 (c) 2 (d) 6
  38. 38.If 4x − 5 = 11, what is x? (a) 5 (b) 3 (c) 4 (d) 16
  39. 39.If 2x − 3 = 7, what is x? (a) 10 (b) 6 (c) 2 (d) 5
  40. 40.If 4x + 19 = 63, what is x? (a) 12 (b) 10 (c) 44 (d) 11

Answer key

  1. 10
  2. 11
  3. 8
  4. 10
  5. 9
  6. 3
  7. 72
  8. 2
  9. 3
  10. 10
  11. 15
  12. 12
  13. 13
  14. 18
  15. 5
  16. 36
  17. 13
  18. 15
  19. 4
  20. 12
  21. 3
  22. 7
  23. 2
  24. 4
  25. 12
  26. 40
  27. 3
  28. 6
  29. 12
  30. 6
  31. 9
  32. 5
  33. 14
  34. 15
  35. 18
  36. 14
  37. 2
  38. 4
  39. 5
  40. 11

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