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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 384 · 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 + 22 = 40, what is x? (a) 1 (b) 18 (c) 2 (d) 3
  2. 2.If x/2 + 13 = 24, what is x? (a) 35 (b) 22 (c) 11 (d) 74
  3. 3.If 6x + 22 = 70, what is x? (a) 48 (b) 9 (c) 8 (d) 7
  4. 4.If x/4 + 6 = 9, what is x? (a) 30 (b) 12 (c) 3 (d) 60
  5. 5.If 5x + 8 = 33, what is x? (a) 25 (b) 6 (c) 4 (d) 5
  6. 6.If x/3 + 6 = 9, what is x? (a) 3 (b) 45 (c) 9 (d) 21
  7. 7.If 2x + 11 = 33, what is x? (a) 12 (b) 11 (c) 10 (d) 22
  8. 8.If x/6 + 12 = 17, what is x? (a) 90 (b) 174 (c) 30 (d) 5
  9. 9.If x/2 + 5 = 16, what is x? (a) 27 (b) 42 (c) 22 (d) 11
  10. 10.If 9x − 37 = 44, what is x? (a) 8 (b) 81 (c) 9 (d) 10
  11. 11.If 5x − 2 = 8, what is x? (a) 10 (b) 1 (c) 3 (d) 2
  12. 12.If 4x − 17 = 39, what is x? (a) 15 (b) 14 (c) 13 (d) 56
  13. 13.If 6x + 2 = 5x + 3, what is x? (a) 5 (b) 1 (c) 3 (d) 2
  14. 14.If 5x + 2 = 22, what is x? (a) 20 (b) 4 (c) 3 (d) 5
  15. 15.If x/5 + 2 = 7, what is x? (a) 45 (b) 5 (c) 25 (d) 33
  16. 16.If 3x + 9 = x + 19, what is x? (a) 5 (b) 7 (c) 14 (d) 6
  17. 17.If x/2 + 12 = 17, what is x? (a) 58 (b) 5 (c) 22 (d) 10
  18. 18.If 8x + 18 = x + 95, what is x? (a) 10 (b) 12 (c) 11 (d) 13
  19. 19.If 6x − 2 = 16, what is x? (a) 3 (b) 2 (c) 4 (d) 18
  20. 20.If 9x + 23 = 86, what is x? (a) 8 (b) 6 (c) 63 (d) 7
  21. 21.If 3x − 4 = 32, what is x? (a) 11 (b) 36 (c) 13 (d) 12
  22. 22.If x/6 + 10 = 14, what is x? (a) 144 (b) 4 (c) 24 (d) 74
  23. 23.If 3x + 14 = 2x + 23, what is x? (a) 37 (b) 10 (c) 9 (d) 11
  24. 24.If 3x + 14 = 2x + 26, what is x? (a) 40 (b) 13 (c) 12 (d) 14
  25. 25.If x/6 + 9 = 17, what is x? (a) 156 (b) 93 (c) 48 (d) 8
  26. 26.If 3x + 25 = 37, what is x? (a) 3 (b) 4 (c) 12 (d) 5
  27. 27.If 4x − 14 = 10, what is x? (a) 24 (b) 5 (c) 6 (d) 7
  28. 28.If 2x − 17 = 9, what is x? (a) 26 (b) 13 (c) 14 (d) 12
  29. 29.If 4x + 12 = 64, what is x? (a) 19 (b) 14 (c) 13 (d) 52
  30. 30.If 2x − 6 = 18, what is x? (a) 6 (b) 13 (c) 24 (d) 12
  31. 31.If 5x + 22 = 67, what is x? (a) 45 (b) 10 (c) 9 (d) 8
  32. 32.If 5x + 26 = 91, what is x? (a) 14 (b) 65 (c) 13 (d) 12
  33. 33.If x/4 + 5 = 15, what is x? (a) 40 (b) 80 (c) 10 (d) 55
  34. 34.If 5x − 6 = 29, what is x? (a) 6 (b) 8 (c) 35 (d) 7
  35. 35.If 7x + 5 = 26, what is x? (a) 2 (b) 21 (c) 4 (d) 3
  36. 36.If 9x − 19 = 98, what is x? (a) 14 (b) 12 (c) 13 (d) 117
  37. 37.If x/6 + 6 = 14, what is x? (a) 8 (b) 120 (c) 48 (d) 78
  38. 38.If 2x + 9 = 15, what is x? (a) 3 (b) 4 (c) 12 (d) 6
  39. 39.If 2x − 11 = 3, what is x? (a) 8 (b) 14 (c) 6 (d) 7
  40. 40.If 9x + 5 = 2x + 26, what is x? (a) 3 (b) 4 (c) 5 (d) 2

Answer key

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

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