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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 712 · 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 7x + 20 = 97, what is x? (a) 77 (b) 11 (c) 10 (d) 12
  2. 2.If x/3 + 1 = 12, what is x? (a) 39 (b) 33 (c) 35 (d) 11
  3. 3.If x/3 + 2 = 8, what is x? (a) 22 (b) 30 (c) 18 (d) 6
  4. 4.If 5x − 17 = 8, what is x? (a) 25 (b) 6 (c) 4 (d) 5
  5. 5.If 3x − 13 = 11, what is x? (a) 7 (b) 24 (c) 8 (d) 9
  6. 6.If 9x + 15 = 3x + 33, what is x? (a) 3 (b) 5 (c) 4 (d) 8
  7. 7.If 6x + 6 = 2x + 10, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  8. 8.If 3x + 22 = 31, what is x? (a) 2 (b) 3 (c) 4 (d) 9
  9. 9.If 3x + 7 = 2x + 9, what is x? (a) 16 (b) 2 (c) 4 (d) 3
  10. 10.If 7x − 4 = 31, what is x? (a) 35 (b) 6 (c) 5 (d) 4
  11. 11.If 4x + 24 = 56, what is x? (a) 32 (b) 8 (c) 9 (d) 20
  12. 12.If x/4 + 2 = 12, what is x? (a) 46 (b) 40 (c) 10 (d) 56
  13. 13.If 3x − 15 = 6, what is x? (a) 8 (b) 7 (c) 6 (d) 21
  14. 14.If 8x − 46 = 2, what is x? (a) 6 (b) 5 (c) 48 (d) 7
  15. 15.If 2x − 18 = 8, what is x? (a) 13 (b) 26 (c) 14 (d) 12
  16. 16.If 5x + 15 = x + 27, what is x? (a) 2 (b) 3 (c) 5 (d) 4
  17. 17.If 7x + 20 = 3x + 32, what is x? (a) 13 (b) 3 (c) 4 (d) 5
  18. 18.If x/2 + 3 = 6, what is x? (a) 6 (b) 18 (c) 9 (d) 3
  19. 19.If 6x + 6 = x + 36, what is x? (a) 7 (b) 6 (c) 5 (d) 8
  20. 20.If x/3 + 5 = 14, what is x? (a) 57 (b) 9 (c) 27 (d) 37
  21. 21.If 6x + 12 = 5x + 19, what is x? (a) 8 (b) 9 (c) 31 (d) 7
  22. 22.If 7x + 24 = 108, what is x? (a) 84 (b) 13 (c) 11 (d) 12
  23. 23.If 3x − 5 = 19, what is x? (a) 9 (b) 24 (c) 8 (d) 7
  24. 24.If x/3 + 1 = 3, what is x? (a) 8 (b) 2 (c) 6 (d) 12
  25. 25.If 5x − 14 = 1, what is x? (a) 2 (b) 3 (c) 4 (d) 15
  26. 26.If x/6 + 8 = 20, what is x? (a) 12 (b) 168 (c) 112 (d) 72
  27. 27.If 2x + 17 = 35, what is x? (a) 10 (b) 18 (c) 26 (d) 9
  28. 28.If 3x + 20 = x + 36, what is x? (a) 9 (b) 28 (c) 8 (d) 4
  29. 29.If 3x − 15 = 3, what is x? (a) 7 (b) 18 (c) 5 (d) 6
  30. 30.If 7x + 9 = 107, what is x? (a) 14 (b) 13 (c) 15 (d) 98
  31. 31.If 9x − 17 = 1, what is x? (a) 1 (b) 2 (c) 3 (d) 18
  32. 32.If 9x + 1 = 7x + 11, what is x? (a) 4 (b) 6 (c) 5 (d) 7
  33. 33.If x/6 + 8 = 13, what is x? (a) 30 (b) 70 (c) 126 (d) 5
  34. 34.If 3x + 13 = 19, what is x? (a) 2 (b) 6 (c) 3 (d) 1
  35. 35.If 4x + 6 = 3x + 14, what is x? (a) 8 (b) 9 (c) 20 (d) 10
  36. 36.If 9x + 21 = 84, what is x? (a) 63 (b) 6 (c) 7 (d) 8
  37. 37.If 9x − 13 = 14, what is x? (a) 2 (b) 3 (c) 27 (d) 4
  38. 38.If x/6 + 8 = 16, what is x? (a) 144 (b) 88 (c) 8 (d) 48
  39. 39.If 6x − 55 = 35, what is x? (a) 90 (b) 16 (c) 15 (d) 14
  40. 40.If 2x + 18 = 30, what is x? (a) 7 (b) 12 (c) 24 (d) 6

Answer key

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

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