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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 150 · 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 + 5 = x + 85, what is x? (a) 11 (b) 10 (c) 12 (d) 8
  2. 2.If 7x + 15 = 36, what is x? (a) 2 (b) 3 (c) 21 (d) 4
  3. 3.If 9x − 2 = 61, what is x? (a) 8 (b) 63 (c) 7 (d) 6
  4. 4.If 9x − 42 = 39, what is x? (a) 9 (b) 8 (c) 81 (d) 10
  5. 5.If x/6 + 3 = 7, what is x? (a) 24 (b) 60 (c) 4 (d) 39
  6. 6.If 3x + 10 = 49, what is x? (a) 39 (b) 13 (c) 14 (d) 12
  7. 7.If 5x + 19 = 3x + 43, what is x? (a) 12 (b) 3 (c) 13 (d) 31
  8. 8.If 9x − 4 = 14, what is x? (a) 18 (b) 2 (c) 3 (d) 1
  9. 9.If 3x + 13 = 52, what is x? (a) 13 (b) 39 (c) 12 (d) 14
  10. 10.If 2x + 22 = 44, what is x? (a) 33 (b) 11 (c) 22 (d) 12
  11. 11.If 9x + 8 = x + 80, what is x? (a) 10 (b) 11 (c) 8 (d) 9
  12. 12.If x/5 + 15 = 23, what is x? (a) 190 (b) 100 (c) 8 (d) 40
  13. 13.If 3x − 17 = 25, what is x? (a) 15 (b) 14 (c) 42 (d) 13
  14. 14.If 7x − 31 = 18, what is x? (a) 49 (b) 6 (c) 8 (d) 7
  15. 15.If 2x + 19 = 25, what is x? (a) 3 (b) 6 (c) 4 (d) 22
  16. 16.If x/6 + 7 = 14, what is x? (a) 7 (b) 126 (c) 42 (d) 77
  17. 17.If 3x + 5 = 2x + 14, what is x? (a) 9 (b) 11 (c) 19 (d) 10
  18. 18.If 7x − 91 = 7, what is x? (a) 98 (b) 13 (c) 14 (d) 15
  19. 19.If x/5 + 11 = 15, what is x? (a) 64 (b) 20 (c) 130 (d) 4
  20. 20.If 6x + 18 = x + 68, what is x? (a) 11 (b) 9 (c) 12 (d) 10
  21. 21.If 8x + 18 = x + 46, what is x? (a) 4 (b) 3 (c) 6 (d) 5
  22. 22.If 7x + 4 = 3x + 36, what is x? (a) 7 (b) 10 (c) 8 (d) 9
  23. 23.If 6x + 1 = 5x + 11, what is x? (a) 12 (b) 10 (c) 11 (d) 9
  24. 24.If 8x + 5 = 45, what is x? (a) 5 (b) 6 (c) 40 (d) 4
  25. 25.If x/4 + 7 = 11, what is x? (a) 16 (b) 4 (c) 37 (d) 72
  26. 26.If 8x + 16 = 7x + 27, what is x? (a) 43 (b) 12 (c) 13 (d) 11
  27. 27.If 8x + 7 = 79, what is x? (a) 72 (b) 8 (c) 9 (d) 10
  28. 28.If 4x + 13 = 2x + 23, what is x? (a) 5 (b) 18 (c) 7 (d) 6
  29. 29.If 5x + 1 = 31, what is x? (a) 7 (b) 6 (c) 5 (d) 30
  30. 30.If 8x − 36 = 4, what is x? (a) 40 (b) 6 (c) 4 (d) 5
  31. 31.If 8x − 94 = 2, what is x? (a) 11 (b) 13 (c) 12 (d) 96
  32. 32.If 5x − 2 = 63, what is x? (a) 65 (b) 14 (c) 13 (d) 12
  33. 33.If 2x + 23 = 37, what is x? (a) 7 (b) 8 (c) 30 (d) 14
  34. 34.If x/2 + 10 = 22, what is x? (a) 12 (b) 64 (c) 34 (d) 24
  35. 35.If 5x + 3 = 4x + 15, what is x? (a) 18 (b) 13 (c) 14 (d) 12
  36. 36.If 5x + 11 = 4x + 15, what is x? (a) 4 (b) 26 (c) 6 (d) 5
  37. 37.If 5x + 12 = x + 20, what is x? (a) 8 (b) 3 (c) 2 (d) 4
  38. 38.If 5x + 5 = 80, what is x? (a) 16 (b) 17 (c) 75 (d) 15
  39. 39.If 9x + 17 = 107, what is x? (a) 11 (b) 10 (c) 90 (d) 9
  40. 40.If 3x − 1 = 38, what is x? (a) 14 (b) 13 (c) 12 (d) 39

Answer key

  1. 10
  2. 3
  3. 7
  4. 9
  5. 24
  6. 13
  7. 12
  8. 2
  9. 13
  10. 11
  11. 9
  12. 40
  13. 14
  14. 7
  15. 3
  16. 42
  17. 9
  18. 14
  19. 20
  20. 10
  21. 4
  22. 8
  23. 10
  24. 5
  25. 16
  26. 11
  27. 9
  28. 5
  29. 6
  30. 5
  31. 12
  32. 13
  33. 7
  34. 24
  35. 12
  36. 4
  37. 2
  38. 15
  39. 10
  40. 13

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