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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 258 · 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/5 + 3 = 15, what is x? (a) 12 (b) 90 (c) 72 (d) 60
  2. 2.If x/2 + 6 = 8, what is x? (a) 2 (b) 4 (c) 10 (d) 28
  3. 3.If x/2 + 13 = 22, what is x? (a) 31 (b) 70 (c) 18 (d) 9
  4. 4.If 3x + 24 = 33, what is x? (a) 3 (b) 9 (c) 19 (d) 4
  5. 5.If 7x + 1 = 4x + 25, what is x? (a) 9 (b) 8 (c) 10 (d) 7
  6. 6.If 8x + 7 = 3x + 27, what is x? (a) 5 (b) 6 (c) 3 (d) 4
  7. 7.If x/2 + 3 = 8, what is x? (a) 22 (b) 5 (c) 13 (d) 10
  8. 8.If 8x − 42 = 38, what is x? (a) 10 (b) 11 (c) 80 (d) 9
  9. 9.If 5x + 28 = 88, what is x? (a) 13 (b) 11 (c) 12 (d) 60
  10. 10.If 9x + 23 = 68, what is x? (a) 5 (b) 4 (c) 45 (d) 6
  11. 11.If x/6 + 6 = 8, what is x? (a) 2 (b) 42 (c) 12 (d) 84
  12. 12.If 7x + 2 = 4x + 23, what is x? (a) 8 (b) 9 (c) 6 (d) 7
  13. 13.If 6x + 28 = 94, what is x? (a) 12 (b) 66 (c) 10 (d) 11
  14. 14.If x/3 + 6 = 13, what is x? (a) 33 (b) 57 (c) 7 (d) 21
  15. 15.If 7x + 28 = 70, what is x? (a) 6 (b) 42 (c) 14 (d) 7
  16. 16.If x/6 + 3 = 13, what is x? (a) 75 (b) 60 (c) 96 (d) 10
  17. 17.If 2x − 2 = 28, what is x? (a) 15 (b) 13 (c) 16 (d) 30
  18. 18.If 3x + 16 = x + 28, what is x? (a) 6 (b) 7 (c) 3 (d) 22
  19. 19.If 6x − 67 = 5, what is x? (a) 11 (b) 12 (c) 72 (d) 13
  20. 20.If 4x + 10 = x + 19, what is x? (a) 3 (b) 4 (c) 2 (d) 5
  21. 21.If 9x + 20 = 7x + 42, what is x? (a) 13 (b) 11 (c) 12 (d) 31
  22. 22.If x/3 + 1 = 6, what is x? (a) 17 (b) 15 (c) 5 (d) 21
  23. 23.If x/5 + 15 = 22, what is x? (a) 95 (b) 35 (c) 7 (d) 185
  24. 24.If x/2 + 3 = 10, what is x? (a) 14 (b) 17 (c) 26 (d) 7
  25. 25.If 8x − 47 = 25, what is x? (a) 10 (b) 8 (c) 9 (d) 72
  26. 26.If 7x + 6 = 41, what is x? (a) 35 (b) 4 (c) 5 (d) 6
  27. 27.If x/3 + 15 = 22, what is x? (a) 51 (b) 7 (c) 21 (d) 111
  28. 28.If x/3 + 2 = 14, what is x? (a) 12 (b) 48 (c) 36 (d) 40
  29. 29.If x/3 + 15 = 17, what is x? (a) 96 (b) 36 (c) 6 (d) 2
  30. 30.If 3x − 1 = 14, what is x? (a) 6 (b) 15 (c) 4 (d) 5
  31. 31.If x/2 + 5 = 14, what is x? (a) 38 (b) 23 (c) 9 (d) 18
  32. 32.If 6x − 53 = 25, what is x? (a) 14 (b) 13 (c) 12 (d) 78
  33. 33.If 2x + 2 = 32, what is x? (a) 17 (b) 16 (c) 30 (d) 15
  34. 34.If 6x + 20 = 3x + 56, what is x? (a) 4 (b) 14 (c) 13 (d) 12
  35. 35.If 4x + 1 = x + 22, what is x? (a) 8 (b) 7 (c) 6 (d) 9
  36. 36.If 6x + 2 = 3x + 26, what is x? (a) 9 (b) 8 (c) 7 (d) 10
  37. 37.If 8x − 45 = 19, what is x? (a) 8 (b) 64 (c) 7 (d) 9
  38. 38.If 2x + 22 = 40, what is x? (a) 18 (b) 31 (c) 9 (d) 10
  39. 39.If x/3 + 2 = 7, what is x? (a) 19 (b) 5 (c) 15 (d) 27
  40. 40.If 9x − 18 = 9, what is x? (a) 27 (b) 2 (c) 4 (d) 3

Answer key

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

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