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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 306 · 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 − 10 = 95, what is x? (a) 16 (b) 14 (c) 105 (d) 15
  2. 2.If 6x + 14 = 44, what is x? (a) 4 (b) 30 (c) 5 (d) 6
  3. 3.If 4x + 7 = x + 10, what is x? (a) 2 (b) 3 (c) 4 (d) 1
  4. 4.If x/2 + 9 = 13, what is x? (a) 4 (b) 17 (c) 8 (d) 44
  5. 5.If 3x + 8 = x + 16, what is x? (a) 12 (b) 4 (c) 2 (d) 5
  6. 6.If 4x + 4 = 60, what is x? (a) 56 (b) 15 (c) 16 (d) 14
  7. 7.If 8x + 7 = x + 77, what is x? (a) 12 (b) 11 (c) 9 (d) 10
  8. 8.If x/2 + 8 = 11, what is x? (a) 3 (b) 38 (c) 14 (d) 6
  9. 9.If x/2 + 6 = 9, what is x? (a) 12 (b) 30 (c) 6 (d) 3
  10. 10.If 4x + 22 = 66, what is x? (a) 12 (b) 44 (c) 11 (d) 22
  11. 11.If 9x − 8 = 19, what is x? (a) 2 (b) 27 (c) 4 (d) 3
  12. 12.If 9x + 17 = 5x + 49, what is x? (a) 10 (b) 7 (c) 9 (d) 8
  13. 13.If 6x + 7 = 4x + 29, what is x? (a) 12 (b) 13 (c) 11 (d) 18
  14. 14.If 9x − 55 = 44, what is x? (a) 12 (b) 10 (c) 11 (d) 99
  15. 15.If 3x + 5 = 17, what is x? (a) 5 (b) 3 (c) 12 (d) 4
  16. 16.If 8x + 20 = 92, what is x? (a) 72 (b) 9 (c) 10 (d) 14
  17. 17.If 8x − 22 = 2, what is x? (a) 24 (b) 2 (c) 3 (d) 4
  18. 18.If 9x + 15 = 5x + 43, what is x? (a) 9 (b) 8 (c) 2 (d) 7
  19. 19.If 2x + 13 = 17, what is x? (a) 2 (b) 4 (c) 3 (d) 15
  20. 20.If 7x + 13 = 118, what is x? (a) 15 (b) 16 (c) 14 (d) 105
  21. 21.If 3x + 19 = 58, what is x? (a) 39 (b) 12 (c) 13 (d) 14
  22. 22.If x/2 + 13 = 23, what is x? (a) 72 (b) 20 (c) 33 (d) 10
  23. 23.If x/5 + 13 = 18, what is x? (a) 5 (b) 77 (c) 25 (d) 155
  24. 24.If 5x + 19 = 3x + 27, what is x? (a) 1 (b) 23 (c) 5 (d) 4
  25. 25.If x/3 + 15 = 20, what is x? (a) 45 (b) 5 (c) 105 (d) 15
  26. 26.If 2x − 2 = 2, what is x? (a) 2 (b) 3 (c) 4 (d) 1
  27. 27.If 6x + 14 = x + 64, what is x? (a) 11 (b) 10 (c) 12 (d) 9
  28. 28.If x/6 + 9 = 16, what is x? (a) 87 (b) 150 (c) 42 (d) 7
  29. 29.If 2x + 29 = 53, what is x? (a) 24 (b) 41 (c) 12 (d) 13
  30. 30.If 5x − 6 = 4, what is x? (a) 10 (b) 2 (c) 3 (d) 1
  31. 31.If 3x + 15 = x + 35, what is x? (a) 5 (b) 25 (c) 11 (d) 10
  32. 32.If 8x + 7 = 7x + 17, what is x? (a) 10 (b) 12 (c) 11 (d) 24
  33. 33.If 2x + 2 = 12, what is x? (a) 6 (b) 10 (c) 7 (d) 5
  34. 34.If 2x − 2 = 6, what is x? (a) 4 (b) 5 (c) 2 (d) 8
  35. 35.If 2x − 3 = 27, what is x? (a) 15 (b) 30 (c) 12 (d) 16
  36. 36.If 2x − 10 = 4, what is x? (a) 14 (b) 8 (c) 6 (d) 7
  37. 37.If 8x − 48 = 56, what is x? (a) 104 (b) 13 (c) 14 (d) 1
  38. 38.If 3x + 30 = 57, what is x? (a) 10 (b) 9 (c) 27 (d) 29
  39. 39.If 8x + 18 = 66, what is x? (a) 7 (b) 48 (c) 5 (d) 6
  40. 40.If 3x − 2 = 19, what is x? (a) 8 (b) 6 (c) 21 (d) 7

Answer key

  1. 15
  2. 5
  3. 1
  4. 8
  5. 4
  6. 14
  7. 10
  8. 6
  9. 6
  10. 11
  11. 3
  12. 8
  13. 11
  14. 11
  15. 4
  16. 9
  17. 3
  18. 7
  19. 2
  20. 15
  21. 13
  22. 20
  23. 25
  24. 4
  25. 15
  26. 2
  27. 10
  28. 42
  29. 12
  30. 2
  31. 10
  32. 10
  33. 5
  34. 4
  35. 15
  36. 7
  37. 13
  38. 9
  39. 6
  40. 7

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