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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 717 · 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 + 2 = 16, what is x? (a) 1 (b) 14 (c) 3 (d) 2
  2. 2.If 3x + 17 = 2x + 25, what is x? (a) 10 (b) 9 (c) 42 (d) 8
  3. 3.If 4x − 8 = 4, what is x? (a) 4 (b) 12 (c) 3 (d) 2
  4. 4.If 7x + 25 = 46, what is x? (a) 4 (b) 3 (c) 21 (d) 2
  5. 5.If x/2 + 6 = 8, what is x? (a) 2 (b) 28 (c) 4 (d) 10
  6. 6.If 6x + 11 = 53, what is x? (a) 6 (b) 42 (c) 8 (d) 7
  7. 7.If 3x − 9 = 12, what is x? (a) 1 (b) 21 (c) 7 (d) 8
  8. 8.If 7x + 29 = 43, what is x? (a) 3 (b) 1 (c) 2 (d) 14
  9. 9.If 6x + 17 = 71, what is x? (a) 8 (b) 9 (c) 10 (d) 54
  10. 10.If 2x − 18 = 4, what is x? (a) 22 (b) 11 (c) 10 (d) 12
  11. 11.If 8x + 13 = 7x + 18, what is x? (a) 6 (b) 31 (c) 5 (d) 7
  12. 12.If 3x + 20 = x + 22, what is x? (a) 21 (b) 2 (c) 3 (d) 1
  13. 13.If 4x + 2 = 3x + 10, what is x? (a) 12 (b) 10 (c) 9 (d) 8
  14. 14.If 2x − 3 = 19, what is x? (a) 8 (b) 12 (c) 11 (d) 22
  15. 15.If x/6 + 3 = 5, what is x? (a) 12 (b) 27 (c) 2 (d) 48
  16. 16.If x/2 + 2 = 8, what is x? (a) 6 (b) 20 (c) 14 (d) 12
  17. 17.If 9x − 4 = 14, what is x? (a) 1 (b) 18 (c) 3 (d) 2
  18. 18.If 9x + 27 = 117, what is x? (a) 90 (b) 16 (c) 11 (d) 10
  19. 19.If 4x + 17 = 2x + 39, what is x? (a) 12 (b) 13 (c) 28 (d) 11
  20. 20.If 9x + 15 = 78, what is x? (a) 7 (b) 6 (c) 63 (d) 8
  21. 21.If 4x + 7 = x + 31, what is x? (a) 8 (b) 7 (c) 9 (d) 10
  22. 22.If 4x + 13 = x + 37, what is x? (a) 8 (b) 7 (c) 10 (d) 9
  23. 23.If x/2 + 1 = 11, what is x? (a) 21 (b) 24 (c) 10 (d) 20
  24. 24.If 5x + 17 = 87, what is x? (a) 15 (b) 13 (c) 14 (d) 70
  25. 25.If 4x + 3 = 43, what is x? (a) 40 (b) 11 (c) 9 (d) 10
  26. 26.If 9x + 13 = 7x + 21, what is x? (a) 5 (b) 4 (c) 6 (d) 17
  27. 27.If 8x + 5 = x + 26, what is x? (a) 2 (b) 3 (c) 4 (d) 5
  28. 28.If 9x − 21 = 78, what is x? (a) 11 (b) 99 (c) 10 (d) 12
  29. 29.If 8x + 1 = 2x + 43, what is x? (a) 7 (b) 8 (c) 9 (d) 6
  30. 30.If 8x − 69 = 11, what is x? (a) 11 (b) 80 (c) 10 (d) 9
  31. 31.If x/3 + 1 = 6, what is x? (a) 21 (b) 5 (c) 17 (d) 15
  32. 32.If x/2 + 14 = 18, what is x? (a) 4 (b) 8 (c) 22 (d) 64
  33. 33.If 3x + 10 = x + 18, what is x? (a) 14 (b) 2 (c) 4 (d) 5
  34. 34.If 4x + 25 = 57, what is x? (a) 32 (b) 9 (c) 7 (d) 8
  35. 35.If x/6 + 12 = 22, what is x? (a) 120 (b) 10 (c) 60 (d) 204
  36. 36.If 8x + 3 = 7x + 5, what is x? (a) 8 (b) 4 (c) 2 (d) 3
  37. 37.If 9x + 22 = 121, what is x? (a) 12 (b) 99 (c) 11 (d) 10
  38. 38.If x/4 + 11 = 18, what is x? (a) 7 (b) 61 (c) 28 (d) 116
  39. 39.If 6x + 9 = 5x + 12, what is x? (a) 4 (b) 21 (c) 3 (d) 5
  40. 40.If x/5 + 2 = 9, what is x? (a) 7 (b) 55 (c) 43 (d) 35

Answer key

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

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