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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 221 · 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 x/3 + 5 = 14, what is x? (a) 9 (b) 27 (c) 57 (d) 37
  2. 2.If 6x − 20 = 46, what is x? (a) 66 (b) 12 (c) 11 (d) 10
  3. 3.If 6x + 28 = 100, what is x? (a) 13 (b) 11 (c) 12 (d) 72
  4. 4.If 6x + 12 = 5x + 19, what is x? (a) 31 (b) 8 (c) 9 (d) 7
  5. 5.If 8x − 13 = 43, what is x? (a) 56 (b) 7 (c) 8 (d) 6
  6. 6.If 3x + 2 = x + 22, what is x? (a) 10 (b) 11 (c) 5 (d) 12
  7. 7.If 3x + 9 = 15, what is x? (a) 2 (b) 6 (c) 8 (d) 3
  8. 8.If x/5 + 9 = 11, what is x? (a) 100 (b) 46 (c) 2 (d) 10
  9. 9.If 4x + 27 = 47, what is x? (a) 20 (b) 6 (c) 4 (d) 5
  10. 10.If x/5 + 2 = 6, what is x? (a) 40 (b) 4 (c) 20 (d) 28
  11. 11.If x/2 + 13 = 18, what is x? (a) 62 (b) 5 (c) 23 (d) 10
  12. 12.If 2x − 14 = 16, what is x? (a) 16 (b) 30 (c) 15 (d) 1
  13. 13.If x/2 + 15 = 25, what is x? (a) 35 (b) 80 (c) 20 (d) 10
  14. 14.If 6x − 6 = 6, what is x? (a) 3 (b) 2 (c) 1 (d) 12
  15. 15.If 2x − 29 = 1, what is x? (a) 30 (b) 16 (c) 14 (d) 15
  16. 16.If 9x − 92 = 7, what is x? (a) 12 (b) 99 (c) 10 (d) 11
  17. 17.If 9x + 12 = 102, what is x? (a) 9 (b) 90 (c) 11 (d) 10
  18. 18.If 7x + 21 = 49, what is x? (a) 10 (b) 4 (c) 5 (d) 28
  19. 19.If 2x − 9 = 9, what is x? (a) 9 (b) 18 (c) 10 (d) 8
  20. 20.If x/5 + 5 = 15, what is x? (a) 70 (b) 10 (c) 50 (d) 100
  21. 21.If 7x + 13 = 83, what is x? (a) 11 (b) 9 (c) 70 (d) 10
  22. 22.If 5x − 2 = 23, what is x? (a) 6 (b) 4 (c) 5 (d) 25
  23. 23.If 7x + 14 = 5x + 36, what is x? (a) 13 (b) 11 (c) 25 (d) 12
  24. 24.If 5x + 16 = 4x + 21, what is x? (a) 7 (b) 37 (c) 5 (d) 6
  25. 25.If x/2 + 8 = 20, what is x? (a) 56 (b) 24 (c) 12 (d) 32
  26. 26.If 3x + 26 = 71, what is x? (a) 15 (b) 16 (c) 45 (d) 14
  27. 27.If 2x + 23 = 33, what is x? (a) 10 (b) 5 (c) 6 (d) 28
  28. 28.If 2x − 2 = 2, what is x? (a) 4 (b) 1 (c) 3 (d) 2
  29. 29.If x/3 + 8 = 10, what is x? (a) 2 (b) 6 (c) 22 (d) 54
  30. 30.If 7x + 4 = 6x + 11, what is x? (a) 9 (b) 15 (c) 8 (d) 7
  31. 31.If 4x + 5 = 3x + 6, what is x? (a) 2 (b) 11 (c) 3 (d) 1
  32. 32.If 3x + 9 = x + 15, what is x? (a) 3 (b) 5 (c) 4 (d) 12
  33. 33.If 7x − 15 = 20, what is x? (a) 4 (b) 5 (c) 35 (d) 6
  34. 34.If 9x − 12 = 60, what is x? (a) 8 (b) 72 (c) 7 (d) 9
  35. 35.If x/3 + 1 = 3, what is x? (a) 8 (b) 2 (c) 12 (d) 6
  36. 36.If 7x − 8 = 55, what is x? (a) 10 (b) 9 (c) 63 (d) 8
  37. 37.If 8x + 18 = 3x + 68, what is x? (a) 12 (b) 10 (c) 11 (d) 9
  38. 38.If 6x + 9 = 3x + 12, what is x? (a) 3 (b) 7 (c) 2 (d) 1
  39. 39.If 5x + 18 = 4x + 21, what is x? (a) 5 (b) 39 (c) 4 (d) 3
  40. 40.If 4x + 6 = x + 9, what is x? (a) 2 (b) 5 (c) 3 (d) 1

Answer key

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

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