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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 247 · 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 − 77 = 13, what is x? (a) 11 (b) 10 (c) 9 (d) 90
  2. 2.If 3x + 10 = 2x + 11, what is x? (a) 1 (b) 2 (c) 21 (d) 3
  3. 3.If x/5 + 13 = 22, what is x? (a) 175 (b) 9 (c) 97 (d) 45
  4. 4.If 4x + 7 = 43, what is x? (a) 36 (b) 10 (c) 8 (d) 9
  5. 5.If 9x − 9 = 81, what is x? (a) 8 (b) 90 (c) 10 (d) 11
  6. 6.If 7x + 18 = 3x + 42, what is x? (a) 6 (b) 15 (c) 8 (d) 7
  7. 7.If 4x + 2 = 2x + 22, what is x? (a) 12 (b) 11 (c) 9 (d) 10
  8. 8.If 7x + 13 = 90, what is x? (a) 77 (b) 11 (c) 10 (d) 12
  9. 9.If 9x + 8 = 143, what is x? (a) 15 (b) 16 (c) 14 (d) 135
  10. 10.If x/3 + 9 = 17, what is x? (a) 24 (b) 42 (c) 8 (d) 78
  11. 11.If 7x + 5 = 47, what is x? (a) 7 (b) 42 (c) 5 (d) 6
  12. 12.If 2x + 8 = 30, what is x? (a) 12 (b) 19 (c) 11 (d) 22
  13. 13.If 3x + 15 = 2x + 25, what is x? (a) 2 (b) 11 (c) 40 (d) 10
  14. 14.If x/3 + 2 = 8, what is x? (a) 22 (b) 30 (c) 18 (d) 6
  15. 15.If 8x + 16 = x + 30, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  16. 16.If x/5 + 2 = 14, what is x? (a) 80 (b) 12 (c) 60 (d) 68
  17. 17.If 3x + 2 = 17, what is x? (a) 4 (b) 6 (c) 5 (d) 15
  18. 18.If x/2 + 10 = 19, what is x? (a) 58 (b) 28 (c) 18 (d) 9
  19. 19.If x/6 + 13 = 23, what is x? (a) 10 (b) 216 (c) 60 (d) 125
  20. 20.If 5x + 9 = 3x + 23, what is x? (a) 16 (b) 8 (c) 7 (d) 9
  21. 21.If 3x − 8 = 4, what is x? (a) 12 (b) 5 (c) 3 (d) 4
  22. 22.If 5x − 18 = 12, what is x? (a) 5 (b) 7 (c) 6 (d) 30
  23. 23.If 3x − 20 = 13, what is x? (a) 10 (b) 11 (c) 12 (d) 33
  24. 24.If 7x + 2 = 72, what is x? (a) 10 (b) 70 (c) 9 (d) 11
  25. 25.If 4x − 19 = 17, what is x? (a) 36 (b) 8 (c) 10 (d) 9
  26. 26.If 3x − 12 = 21, what is x? (a) 11 (b) 12 (c) 3 (d) 33
  27. 27.If x/2 + 4 = 14, what is x? (a) 36 (b) 10 (c) 20 (d) 24
  28. 28.If 3x + 1 = 25, what is x? (a) 8 (b) 7 (c) 24 (d) 9
  29. 29.If 9x + 9 = 2x + 86, what is x? (a) 11 (b) 7 (c) 13 (d) 12
  30. 30.If x/4 + 3 = 8, what is x? (a) 20 (b) 44 (c) 5 (d) 29
  31. 31.If x/4 + 2 = 6, what is x? (a) 4 (b) 32 (c) 22 (d) 16
  32. 32.If 8x + 8 = x + 92, what is x? (a) 11 (b) 14 (c) 12 (d) 13
  33. 33.If 2x − 9 = 1, what is x? (a) 4 (b) 5 (c) 6 (d) 10
  34. 34.If 9x + 19 = 82, what is x? (a) 6 (b) 7 (c) 63 (d) 8
  35. 35.If 3x + 14 = x + 16, what is x? (a) 2 (b) 15 (c) 3 (d) 1
  36. 36.If 4x + 22 = 58, what is x? (a) 20 (b) 9 (c) 10 (d) 36
  37. 37.If x/5 + 4 = 10, what is x? (a) 70 (b) 30 (c) 46 (d) 6
  38. 38.If x/3 + 7 = 16, what is x? (a) 9 (b) 41 (c) 69 (d) 27
  39. 39.If 4x − 6 = 10, what is x? (a) 16 (b) 5 (c) 4 (d) 1
  40. 40.If 3x + 3 = 2x + 6, what is x? (a) 9 (b) 4 (c) 3 (d) 5

Answer key

  1. 10
  2. 1
  3. 45
  4. 9
  5. 10
  6. 6
  7. 10
  8. 11
  9. 15
  10. 24
  11. 6
  12. 11
  13. 10
  14. 18
  15. 2
  16. 60
  17. 5
  18. 18
  19. 60
  20. 7
  21. 4
  22. 6
  23. 11
  24. 10
  25. 9
  26. 11
  27. 20
  28. 8
  29. 11
  30. 20
  31. 16
  32. 12
  33. 5
  34. 7
  35. 1
  36. 9
  37. 30
  38. 27
  39. 4
  40. 3

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