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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 445 · 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 + 12 = 2x + 82, what is x? (a) 10 (b) 12 (c) 9 (d) 11
  2. 2.If x/6 + 10 = 15, what is x? (a) 30 (b) 150 (c) 5 (d) 80
  3. 3.If 5x + 25 = 70, what is x? (a) 19 (b) 9 (c) 45 (d) 10
  4. 4.If 4x + 12 = x + 39, what is x? (a) 17 (b) 9 (c) 11 (d) 10
  5. 5.If 7x + 10 = 4x + 34, what is x? (a) 7 (b) 9 (c) 10 (d) 8
  6. 6.If x/5 + 15 = 21, what is x? (a) 6 (b) 180 (c) 30 (d) 90
  7. 7.If 8x + 13 = 7x + 19, what is x? (a) 6 (b) 32 (c) 8 (d) 7
  8. 8.If 9x + 30 = 165, what is x? (a) 16 (b) 14 (c) 135 (d) 15
  9. 9.If x/2 + 4 = 10, what is x? (a) 12 (b) 6 (c) 28 (d) 16
  10. 10.If 3x + 16 = 28, what is x? (a) 12 (b) 4 (c) 5 (d) 3
  11. 11.If 7x + 3 = 2x + 38, what is x? (a) 7 (b) 6 (c) 8 (d) 9
  12. 12.If 9x + 2 = 20, what is x? (a) 1 (b) 3 (c) 2 (d) 18
  13. 13.If 8x + 5 = 85, what is x? (a) 9 (b) 10 (c) 80 (d) 11
  14. 14.If 2x + 21 = 25, what is x? (a) 4 (b) 3 (c) 2 (d) 23
  15. 15.If 9x + 18 = 8x + 21, what is x? (a) 39 (b) 4 (c) 5 (d) 3
  16. 16.If x/2 + 11 = 16, what is x? (a) 10 (b) 54 (c) 5 (d) 21
  17. 17.If x/5 + 4 = 15, what is x? (a) 11 (b) 95 (c) 71 (d) 55
  18. 18.If 4x + 17 = 29, what is x? (a) 2 (b) 12 (c) 4 (d) 3
  19. 19.If 6x + 19 = 5x + 22, what is x? (a) 5 (b) 41 (c) 4 (d) 3
  20. 20.If 9x + 7 = 7x + 31, what is x? (a) 13 (b) 19 (c) 14 (d) 12
  21. 21.If 4x + 9 = 57, what is x? (a) 11 (b) 48 (c) 12 (d) 13
  22. 22.If 4x + 10 = x + 19, what is x? (a) 2 (b) 4 (c) 5 (d) 3
  23. 23.If 9x + 19 = 100, what is x? (a) 81 (b) 10 (c) 8 (d) 9
  24. 24.If 5x + 10 = 65, what is x? (a) 15 (b) 55 (c) 12 (d) 11
  25. 25.If x/5 + 4 = 14, what is x? (a) 10 (b) 90 (c) 66 (d) 50
  26. 26.If 7x − 6 = 29, what is x? (a) 5 (b) 35 (c) 4 (d) 6
  27. 27.If 4x + 25 = 49, what is x? (a) 7 (b) 6 (c) 24 (d) 5
  28. 28.If 6x + 9 = 2x + 21, what is x? (a) 2 (b) 5 (c) 4 (d) 3
  29. 29.If 9x + 16 = 142, what is x? (a) 126 (b) 14 (c) 15 (d) 13
  30. 30.If x/3 + 9 = 12, what is x? (a) 3 (b) 9 (c) 27 (d) 63
  31. 31.If 5x + 18 = 58, what is x? (a) 9 (b) 40 (c) 7 (d) 8
  32. 32.If x/6 + 1 = 6, what is x? (a) 35 (b) 5 (c) 30 (d) 42
  33. 33.If 2x − 2 = 16, what is x? (a) 7 (b) 18 (c) 9 (d) 10
  34. 34.If 9x + 19 = 46, what is x? (a) 4 (b) 3 (c) 27 (d) 2
  35. 35.If x/3 + 6 = 10, what is x? (a) 12 (b) 24 (c) 4 (d) 48
  36. 36.If x/2 + 15 = 17, what is x? (a) 64 (b) 4 (c) 19 (d) 2
  37. 37.If 4x − 28 = 24, what is x? (a) 52 (b) 12 (c) 14 (d) 13
  38. 38.If x/4 + 1 = 8, what is x? (a) 28 (b) 36 (c) 7 (d) 31
  39. 39.If 4x + 27 = 55, what is x? (a) 7 (b) 6 (c) 8 (d) 28
  40. 40.If 5x + 16 = 31, what is x? (a) 4 (b) 2 (c) 3 (d) 15

Answer key

  1. 10
  2. 30
  3. 9
  4. 9
  5. 8
  6. 30
  7. 6
  8. 15
  9. 12
  10. 4
  11. 7
  12. 2
  13. 10
  14. 2
  15. 3
  16. 10
  17. 55
  18. 3
  19. 3
  20. 12
  21. 12
  22. 3
  23. 9
  24. 11
  25. 50
  26. 5
  27. 6
  28. 3
  29. 14
  30. 9
  31. 8
  32. 30
  33. 9
  34. 3
  35. 12
  36. 4
  37. 13
  38. 28
  39. 7
  40. 3

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