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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 805 · 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 − 11 = 24, what is x? (a) 5 (b) 6 (c) 35 (d) 4
  2. 2.If x/2 + 15 = 27, what is x? (a) 84 (b) 12 (c) 24 (d) 39
  3. 3.If x/3 + 11 = 19, what is x? (a) 46 (b) 90 (c) 8 (d) 24
  4. 4.If 6x − 3 = 9, what is x? (a) 3 (b) 2 (c) 1 (d) 12
  5. 5.If 2x + 10 = 14, what is x? (a) 2 (b) 12 (c) 4 (d) 3
  6. 6.If 5x − 27 = 28, what is x? (a) 12 (b) 11 (c) 10 (d) 55
  7. 7.If x/2 + 7 = 18, what is x? (a) 22 (b) 50 (c) 29 (d) 11
  8. 8.If x/5 + 1 = 3, what is x? (a) 10 (b) 20 (c) 2 (d) 14
  9. 9.If x/6 + 3 = 6, what is x? (a) 33 (b) 3 (c) 18 (d) 54
  10. 10.If 9x + 19 = 100, what is x? (a) 81 (b) 9 (c) 8 (d) 10
  11. 11.If x/3 + 14 = 26, what is x? (a) 64 (b) 12 (c) 36 (d) 120
  12. 12.If x/4 + 1 = 10, what is x? (a) 39 (b) 9 (c) 36 (d) 44
  13. 13.If 7x − 35 = 28, what is x? (a) 63 (b) 9 (c) 10 (d) 8
  14. 14.If 4x + 14 = x + 17, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  15. 15.If 9x + 9 = 54, what is x? (a) 7 (b) 45 (c) 6 (d) 5
  16. 16.If 4x − 54 = 6, what is x? (a) 15 (b) 16 (c) 14 (d) 60
  17. 17.If 8x − 13 = 83, what is x? (a) 12 (b) 11 (c) 96 (d) 13
  18. 18.If x/3 + 15 = 19, what is x? (a) 42 (b) 12 (c) 102 (d) 4
  19. 19.If x/6 + 9 = 15, what is x? (a) 144 (b) 6 (c) 36 (d) 81
  20. 20.If x/3 + 8 = 15, what is x? (a) 7 (b) 69 (c) 37 (d) 21
  21. 21.If 4x − 3 = 5, what is x? (a) 3 (b) 2 (c) 1 (d) 8
  22. 22.If 9x + 18 = 2x + 74, what is x? (a) 10 (b) 8 (c) 9 (d) 7
  23. 23.If x/2 + 9 = 13, what is x? (a) 4 (b) 17 (c) 44 (d) 8
  24. 24.If 5x + 8 = x + 16, what is x? (a) 6 (b) 3 (c) 4 (d) 2
  25. 25.If 8x + 19 = 2x + 43, what is x? (a) 5 (b) 4 (c) 3 (d) 6
  26. 26.If 7x − 60 = 17, what is x? (a) 77 (b) 11 (c) 12 (d) 10
  27. 27.If 3x − 5 = 4, what is x? (a) 9 (b) 3 (c) 4 (d) 2
  28. 28.If x/3 + 8 = 20, what is x? (a) 12 (b) 36 (c) 52 (d) 84
  29. 29.If 2x + 11 = 19, what is x? (a) 5 (b) 15 (c) 8 (d) 4
  30. 30.If 7x + 15 = 78, what is x? (a) 63 (b) 9 (c) 8 (d) 10
  31. 31.If 7x + 7 = 3x + 27, what is x? (a) 2 (b) 7 (c) 5 (d) 6
  32. 32.If 8x + 2 = 18, what is x? (a) 16 (b) 3 (c) 1 (d) 2
  33. 33.If 8x − 107 = 13, what is x? (a) 16 (b) 15 (c) 120 (d) 14
  34. 34.If 9x + 15 = 7x + 29, what is x? (a) 7 (b) 8 (c) 22 (d) 9
  35. 35.If 5x + 3 = 53, what is x? (a) 9 (b) 50 (c) 10 (d) 11
  36. 36.If 5x + 20 = 4x + 23, what is x? (a) 5 (b) 4 (c) 3 (d) 43
  37. 37.If 8x + 1 = 73, what is x? (a) 10 (b) 8 (c) 72 (d) 9
  38. 38.If 2x + 20 = 24, what is x? (a) 4 (b) 3 (c) 22 (d) 2
  39. 39.If 7x − 3 = 18, what is x? (a) 2 (b) 3 (c) 4 (d) 21
  40. 40.If 6x + 28 = 46, what is x? (a) 4 (b) 18 (c) 3 (d) 2

Answer key

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

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