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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 176 · 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 − 10 = 46, what is x? (a) 9 (b) 56 (c) 14 (d) 15
  2. 2.If 6x − 58 = 14, what is x? (a) 11 (b) 13 (c) 12 (d) 72
  3. 3.If 5x + 24 = 89, what is x? (a) 12 (b) 65 (c) 14 (d) 13
  4. 4.If 3x + 3 = 21, what is x? (a) 8 (b) 6 (c) 18 (d) 7
  5. 5.If 3x + 6 = 45, what is x? (a) 17 (b) 39 (c) 14 (d) 13
  6. 6.If 6x + 20 = 56, what is x? (a) 36 (b) 7 (c) 5 (d) 6
  7. 7.If 3x − 10 = 5, what is x? (a) 4 (b) 6 (c) 5 (d) 15
  8. 8.If 7x − 10 = 39, what is x? (a) 49 (b) 7 (c) 8 (d) 6
  9. 9.If 4x + 13 = 3x + 16, what is x? (a) 4 (b) 5 (c) 29 (d) 3
  10. 10.If 7x − 45 = 11, what is x? (a) 9 (b) 56 (c) 7 (d) 8
  11. 11.If 6x + 17 = 5x + 29, what is x? (a) 14 (b) 12 (c) 46 (d) 13
  12. 12.If 8x − 28 = 4, what is x? (a) 3 (b) 32 (c) 5 (d) 4
  13. 13.If 7x − 92 = 6, what is x? (a) 13 (b) 98 (c) 14 (d) 15
  14. 14.If x/3 + 5 = 10, what is x? (a) 25 (b) 45 (c) 5 (d) 15
  15. 15.If 3x + 8 = x + 24, what is x? (a) 16 (b) 4 (c) 9 (d) 8
  16. 16.If 2x + 16 = 44, what is x? (a) 14 (b) 15 (c) 28 (d) 30
  17. 17.If 8x − 15 = 49, what is x? (a) 9 (b) 64 (c) 7 (d) 8
  18. 18.If 5x + 4 = x + 24, what is x? (a) 4 (b) 6 (c) 5 (d) 7
  19. 19.If 2x − 3 = 5, what is x? (a) 1 (b) 8 (c) 5 (d) 4
  20. 20.If 9x − 6 = 12, what is x? (a) 1 (b) 2 (c) 18 (d) 3
  21. 21.If 5x + 9 = x + 17, what is x? (a) 4 (b) 1 (c) 2 (d) 3
  22. 22.If 5x + 20 = 2x + 41, what is x? (a) 9 (b) 3 (c) 7 (d) 8
  23. 23.If 5x + 17 = x + 21, what is x? (a) 3 (b) 1 (c) 2 (d) 4
  24. 24.If 5x + 15 = x + 63, what is x? (a) 8 (b) 12 (c) 14 (d) 13
  25. 25.If 4x − 8 = 12, what is x? (a) 1 (b) 5 (c) 6 (d) 20
  26. 26.If 7x + 26 = 117, what is x? (a) 91 (b) 13 (c) 14 (d) 12
  27. 27.If 9x + 20 = 8x + 32, what is x? (a) 13 (b) 52 (c) 12 (d) 14
  28. 28.If 3x − 5 = 25, what is x? (a) 11 (b) 9 (c) 30 (d) 10
  29. 29.If x/2 + 15 = 27, what is x? (a) 39 (b) 84 (c) 24 (d) 12
  30. 30.If 5x − 11 = 4, what is x? (a) 3 (b) 15 (c) 2 (d) 4
  31. 31.If 2x + 24 = 40, what is x? (a) 8 (b) 32 (c) 16 (d) 9
  32. 32.If x/6 + 5 = 8, what is x? (a) 18 (b) 3 (c) 43 (d) 78
  33. 33.If 9x − 15 = 39, what is x? (a) 5 (b) 6 (c) 7 (d) 54
  34. 34.If x/5 + 12 = 24, what is x? (a) 180 (b) 60 (c) 12 (d) 108
  35. 35.If 4x + 1 = 3x + 2, what is x? (a) 4 (b) 2 (c) 3 (d) 1
  36. 36.If 8x − 111 = 9, what is x? (a) 14 (b) 15 (c) 120 (d) 16
  37. 37.If 6x + 12 = x + 17, what is x? (a) 4 (b) 2 (c) 3 (d) 1
  38. 38.If x/2 + 3 = 12, what is x? (a) 30 (b) 21 (c) 9 (d) 18
  39. 39.If 9x + 9 = 99, what is x? (a) 11 (b) 12 (c) 10 (d) 90
  40. 40.If 6x + 8 = 3x + 14, what is x? (a) 1 (b) 2 (c) 4 (d) 3

Answer key

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

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