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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 174 · 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 8x − 18 = 70, what is x? (a) 11 (b) 88 (c) 10 (d) 12
  2. 2.If 8x − 7 = 73, what is x? (a) 9 (b) 80 (c) 11 (d) 10
  3. 3.If 7x + 17 = 4x + 20, what is x? (a) 1 (b) 2 (c) 3 (d) 4
  4. 4.If 9x + 19 = 7x + 29, what is x? (a) 24 (b) 7 (c) 6 (d) 5
  5. 5.If 2x − 17 = 9, what is x? (a) 14 (b) 13 (c) 26 (d) 12
  6. 6.If 5x + 2 = 2x + 5, what is x? (a) 2 (b) 4 (c) 3 (d) 1
  7. 7.If x/3 + 7 = 10, what is x? (a) 9 (b) 51 (c) 23 (d) 3
  8. 8.If x/2 + 4 = 8, what is x? (a) 12 (b) 4 (c) 8 (d) 24
  9. 9.If 8x + 7 = 95, what is x? (a) 88 (b) 12 (c) 11 (d) 10
  10. 10.If 3x + 2 = 2x + 13, what is x? (a) 11 (b) 15 (c) 12 (d) 13
  11. 11.If x/5 + 3 = 15, what is x? (a) 60 (b) 12 (c) 90 (d) 72
  12. 12.If 7x + 20 = 3x + 24, what is x? (a) 2 (b) 3 (c) 1 (d) 11
  13. 13.If 2x + 18 = 40, what is x? (a) 22 (b) 11 (c) 29 (d) 12
  14. 14.If 2x + 7 = 21, what is x? (a) 7 (b) 14 (c) 8 (d) 6
  15. 15.If 9x + 18 = 135, what is x? (a) 14 (b) 117 (c) 17 (d) 13
  16. 16.If 4x + 5 = 2x + 15, what is x? (a) 5 (b) 6 (c) 7 (d) 10
  17. 17.If x/3 + 5 = 11, what is x? (a) 28 (b) 48 (c) 18 (d) 6
  18. 18.If 6x + 19 = 4x + 31, what is x? (a) 25 (b) 6 (c) 7 (d) 8
  19. 19.If 7x − 21 = 7, what is x? (a) 5 (b) 28 (c) 4 (d) 3
  20. 20.If 7x + 11 = 4x + 47, what is x? (a) 14 (b) 12 (c) 11 (d) 13
  21. 21.If 6x + 3 = 87, what is x? (a) 13 (b) 14 (c) 84 (d) 15
  22. 22.If 8x + 15 = 4x + 35, what is x? (a) 6 (b) 4 (c) 7 (d) 5
  23. 23.If x/2 + 7 = 12, what is x? (a) 10 (b) 5 (c) 38 (d) 17
  24. 24.If 5x − 4 = 26, what is x? (a) 6 (b) 5 (c) 7 (d) 30
  25. 25.If 7x + 14 = 56, what is x? (a) 7 (b) 42 (c) 6 (d) 10
  26. 26.If x/4 + 2 = 14, what is x? (a) 64 (b) 48 (c) 54 (d) 12
  27. 27.If 7x + 3 = 59, what is x? (a) 9 (b) 7 (c) 8 (d) 56
  28. 28.If x/4 + 13 = 19, what is x? (a) 24 (b) 6 (c) 63 (d) 128
  29. 29.If 3x + 3 = 27, what is x? (a) 10 (b) 8 (c) 24 (d) 9
  30. 30.If x/4 + 13 = 18, what is x? (a) 20 (b) 5 (c) 59 (d) 124
  31. 31.If 4x + 7 = x + 28, what is x? (a) 8 (b) 6 (c) 9 (d) 7
  32. 32.If 6x − 12 = 6, what is x? (a) 18 (b) 4 (c) 3 (d) 2
  33. 33.If x/5 + 14 = 19, what is x? (a) 25 (b) 81 (c) 165 (d) 5
  34. 34.If 3x + 5 = x + 29, what is x? (a) 17 (b) 6 (c) 12 (d) 13
  35. 35.If x/6 + 4 = 14, what is x? (a) 108 (b) 10 (c) 60 (d) 80
  36. 36.If 6x + 16 = 4x + 36, what is x? (a) 10 (b) 2 (c) 26 (d) 11
  37. 37.If 7x − 8 = 41, what is x? (a) 49 (b) 8 (c) 6 (d) 7
  38. 38.If x/4 + 10 = 17, what is x? (a) 58 (b) 28 (c) 108 (d) 7
  39. 39.If 5x + 10 = 35, what is x? (a) 9 (b) 6 (c) 5 (d) 25
  40. 40.If 6x + 30 = 42, what is x? (a) 2 (b) 3 (c) 1 (d) 12

Answer key

  1. 11
  2. 10
  3. 1
  4. 5
  5. 13
  6. 1
  7. 9
  8. 8
  9. 11
  10. 11
  11. 60
  12. 1
  13. 11
  14. 7
  15. 13
  16. 5
  17. 18
  18. 6
  19. 4
  20. 12
  21. 14
  22. 5
  23. 10
  24. 6
  25. 6
  26. 48
  27. 8
  28. 24
  29. 8
  30. 20
  31. 7
  32. 3
  33. 25
  34. 12
  35. 60
  36. 10
  37. 7
  38. 28
  39. 5
  40. 2

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