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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 666 · 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 + 12 = 21, what is x? (a) 51 (b) 27 (c) 99 (d) 9
  2. 2.If 7x + 15 = 85, what is x? (a) 70 (b) 11 (c) 10 (d) 9
  3. 3.If x/3 + 3 = 7, what is x? (a) 18 (b) 12 (c) 30 (d) 4
  4. 4.If 2x + 5 = 19, what is x? (a) 12 (b) 14 (c) 7 (d) 8
  5. 5.If 3x + 16 = 52, what is x? (a) 13 (b) 11 (c) 12 (d) 36
  6. 6.If x/6 + 5 = 8, what is x? (a) 78 (b) 43 (c) 3 (d) 18
  7. 7.If x/6 + 7 = 10, what is x? (a) 53 (b) 102 (c) 18 (d) 3
  8. 8.If 5x + 2 = 37, what is x? (a) 35 (b) 6 (c) 8 (d) 7
  9. 9.If 6x + 10 = 2x + 42, what is x? (a) 4 (b) 9 (c) 13 (d) 8
  10. 10.If x/6 + 6 = 8, what is x? (a) 84 (b) 42 (c) 12 (d) 2
  11. 11.If 4x + 8 = 28, what is x? (a) 6 (b) 20 (c) 9 (d) 5
  12. 12.If 7x + 16 = 114, what is x? (a) 14 (b) 98 (c) 13 (d) 15
  13. 13.If 5x + 8 = 3x + 20, what is x? (a) 14 (b) 7 (c) 8 (d) 6
  14. 14.If 5x − 1 = 19, what is x? (a) 4 (b) 20 (c) 3 (d) 5
  15. 15.If 3x + 8 = 47, what is x? (a) 12 (b) 13 (c) 14 (d) 39
  16. 16.If 3x + 2 = x + 24, what is x? (a) 12 (b) 11 (c) 10 (d) 13
  17. 17.If 5x − 4 = 11, what is x? (a) 4 (b) 2 (c) 15 (d) 3
  18. 18.If 3x + 13 = 25, what is x? (a) 5 (b) 12 (c) 4 (d) 3
  19. 19.If 3x − 13 = 29, what is x? (a) 15 (b) 42 (c) 13 (d) 14
  20. 20.If 5x + 4 = x + 40, what is x? (a) 9 (b) 10 (c) 6 (d) 11
  21. 21.If 5x + 3 = x + 7, what is x? (a) 1 (b) 2 (c) 4 (d) 3
  22. 22.If 8x + 4 = 20, what is x? (a) 3 (b) 2 (c) 16 (d) 1
  23. 23.If 4x − 11 = 5, what is x? (a) 16 (b) 3 (c) 5 (d) 4
  24. 24.If x/5 + 4 = 7, what is x? (a) 55 (b) 31 (c) 3 (d) 15
  25. 25.If 6x + 14 = 5x + 19, what is x? (a) 7 (b) 5 (c) 33 (d) 6
  26. 26.If x/4 + 14 = 22, what is x? (a) 74 (b) 144 (c) 32 (d) 8
  27. 27.If 8x + 8 = 72, what is x? (a) 8 (b) 9 (c) 10 (d) 64
  28. 28.If 6x + 1 = 3x + 19, what is x? (a) 7 (b) 2 (c) 8 (d) 6
  29. 29.If 4x + 10 = 2x + 22, what is x? (a) 2 (b) 6 (c) 16 (d) 7
  30. 30.If 9x + 20 = 4x + 35, what is x? (a) 4 (b) 11 (c) 5 (d) 3
  31. 31.If 3x + 30 = 57, what is x? (a) 9 (b) 29 (c) 10 (d) 27
  32. 32.If 7x − 13 = 29, what is x? (a) 7 (b) 42 (c) 6 (d) 5
  33. 33.If 7x + 19 = 82, what is x? (a) 10 (b) 8 (c) 63 (d) 9
  34. 34.If x/2 + 10 = 19, what is x? (a) 58 (b) 9 (c) 18 (d) 28
  35. 35.If 7x − 3 = 32, what is x? (a) 5 (b) 35 (c) 4 (d) 6
  36. 36.If x/6 + 2 = 12, what is x? (a) 10 (b) 84 (c) 70 (d) 60
  37. 37.If 2x − 8 = 22, what is x? (a) 15 (b) 30 (c) 7 (d) 16
  38. 38.If x/2 + 13 = 22, what is x? (a) 9 (b) 70 (c) 31 (d) 18
  39. 39.If 9x + 8 = 7x + 16, what is x? (a) 12 (b) 6 (c) 5 (d) 4
  40. 40.If 6x − 4 = 14, what is x? (a) 4 (b) 18 (c) 2 (d) 3

Answer key

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

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