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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 647 · 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 5x − 23 = 7, what is x? (a) 30 (b) 7 (c) 5 (d) 6
  2. 2.If x/3 + 1 = 3, what is x? (a) 12 (b) 6 (c) 8 (d) 2
  3. 3.If 8x − 1 = 111, what is x? (a) 15 (b) 14 (c) 13 (d) 112
  4. 4.If 8x + 29 = 125, what is x? (a) 11 (b) 13 (c) 96 (d) 12
  5. 5.If 5x + 4 = x + 44, what is x? (a) 11 (b) 10 (c) 9 (d) 12
  6. 6.If x/6 + 4 = 12, what is x? (a) 8 (b) 48 (c) 96 (d) 68
  7. 7.If x/2 + 3 = 8, what is x? (a) 5 (b) 13 (c) 10 (d) 22
  8. 8.If 3x + 16 = 2x + 26, what is x? (a) 11 (b) 10 (c) 2 (d) 42
  9. 9.If 5x + 13 = x + 61, what is x? (a) 13 (b) 8 (c) 14 (d) 12
  10. 10.If 6x + 20 = x + 40, what is x? (a) 5 (b) 12 (c) 6 (d) 4
  11. 11.If 9x − 27 = 45, what is x? (a) 72 (b) 8 (c) 2 (d) 9
  12. 12.If x/5 + 4 = 15, what is x? (a) 11 (b) 71 (c) 55 (d) 95
  13. 13.If 6x + 7 = 37, what is x? (a) 6 (b) 30 (c) 5 (d) 4
  14. 14.If x/2 + 7 = 13, what is x? (a) 19 (b) 40 (c) 12 (d) 6
  15. 15.If 3x + 20 = x + 38, what is x? (a) 10 (b) 9 (c) 11 (d) 29
  16. 16.If 4x − 48 = 12, what is x? (a) 14 (b) 15 (c) 60 (d) 16
  17. 17.If x/4 + 14 = 23, what is x? (a) 148 (b) 9 (c) 78 (d) 36
  18. 18.If 7x + 15 = 106, what is x? (a) 14 (b) 91 (c) 12 (d) 13
  19. 19.If 2x + 11 = 21, what is x? (a) 6 (b) 5 (c) 16 (d) 10
  20. 20.If 9x + 10 = 55, what is x? (a) 45 (b) 4 (c) 6 (d) 5
  21. 21.If 5x − 12 = 38, what is x? (a) 11 (b) 10 (c) 9 (d) 50
  22. 22.If 8x + 13 = 5x + 28, what is x? (a) 6 (b) 5 (c) 7 (d) 4
  23. 23.If 8x + 12 = 4x + 28, what is x? (a) 5 (b) 4 (c) 6 (d) 10
  24. 24.If x/6 + 14 = 24, what is x? (a) 60 (b) 130 (c) 10 (d) 228
  25. 25.If x/5 + 1 = 13, what is x? (a) 70 (b) 12 (c) 60 (d) 64
  26. 26.If 9x + 17 = 2x + 66, what is x? (a) 8 (b) 7 (c) 9 (d) 6
  27. 27.If x/2 + 2 = 9, what is x? (a) 14 (b) 16 (c) 22 (d) 7
  28. 28.If 5x + 16 = x + 52, what is x? (a) 10 (b) 17 (c) 6 (d) 9
  29. 29.If x/2 + 15 = 25, what is x? (a) 10 (b) 80 (c) 35 (d) 20
  30. 30.If 2x − 5 = 15, what is x? (a) 5 (b) 10 (c) 11 (d) 20
  31. 31.If x/6 + 13 = 25, what is x? (a) 228 (b) 12 (c) 137 (d) 72
  32. 32.If 5x − 68 = 7, what is x? (a) 15 (b) 16 (c) 75 (d) 14
  33. 33.If 3x + 18 = 2x + 29, what is x? (a) 47 (b) 13 (c) 12 (d) 11
  34. 34.If 6x − 48 = 18, what is x? (a) 66 (b) 11 (c) 10 (d) 12
  35. 35.If 7x + 19 = x + 55, what is x? (a) 8 (b) 6 (c) 5 (d) 7
  36. 36.If 4x + 26 = 82, what is x? (a) 56 (b) 14 (c) 27 (d) 15
  37. 37.If 3x − 9 = 3, what is x? (a) 3 (b) 5 (c) 4 (d) 12
  38. 38.If 7x + 4 = 95, what is x? (a) 13 (b) 14 (c) 91 (d) 12
  39. 39.If x/2 + 9 = 13, what is x? (a) 17 (b) 4 (c) 44 (d) 8
  40. 40.If x/3 + 9 = 19, what is x? (a) 48 (b) 30 (c) 84 (d) 10

Answer key

  1. 6
  2. 6
  3. 14
  4. 12
  5. 10
  6. 48
  7. 10
  8. 10
  9. 12
  10. 4
  11. 8
  12. 55
  13. 5
  14. 12
  15. 9
  16. 15
  17. 36
  18. 13
  19. 5
  20. 5
  21. 10
  22. 5
  23. 4
  24. 60
  25. 60
  26. 7
  27. 14
  28. 9
  29. 20
  30. 10
  31. 72
  32. 15
  33. 11
  34. 11
  35. 6
  36. 14
  37. 4
  38. 13
  39. 8
  40. 30

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