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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 693 · 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 4x + 13 = 69, what is x? (a) 56 (b) 15 (c) 14 (d) 13
  2. 2.If 2x − 2 = 16, what is x? (a) 7 (b) 18 (c) 9 (d) 10
  3. 3.If x/3 + 9 = 19, what is x? (a) 84 (b) 10 (c) 30 (d) 48
  4. 4.If 6x + 5 = 41, what is x? (a) 36 (b) 5 (c) 7 (d) 6
  5. 5.If 8x + 9 = 65, what is x? (a) 56 (b) 8 (c) 6 (d) 7
  6. 6.If 3x − 11 = 19, what is x? (a) 11 (b) 30 (c) 10 (d) 9
  7. 7.If 3x + 12 = 2x + 16, what is x? (a) 28 (b) 6 (c) 4 (d) 5
  8. 8.If 7x − 1 = 76, what is x? (a) 77 (b) 12 (c) 10 (d) 11
  9. 9.If 5x − 28 = 32, what is x? (a) 11 (b) 13 (c) 12 (d) 60
  10. 10.If 7x + 4 = 6x + 6, what is x? (a) 10 (b) 3 (c) 4 (d) 2
  11. 11.If 6x + 24 = 66, what is x? (a) 42 (b) 7 (c) 8 (d) 15
  12. 12.If 3x + 17 = x + 25, what is x? (a) 4 (b) 2 (c) 5 (d) 21
  13. 13.If 3x + 24 = 63, what is x? (a) 14 (b) 13 (c) 39 (d) 29
  14. 14.If 3x − 32 = 13, what is x? (a) 16 (b) 14 (c) 45 (d) 15
  15. 15.If 7x + 1 = 43, what is x? (a) 7 (b) 42 (c) 5 (d) 6
  16. 16.If x/5 + 3 = 12, what is x? (a) 57 (b) 45 (c) 75 (d) 9
  17. 17.If 3x + 10 = 31, what is x? (a) 21 (b) 8 (c) 7 (d) 6
  18. 18.If 5x + 17 = 2x + 35, what is x? (a) 7 (b) 6 (c) 5 (d) 8
  19. 19.If 4x + 16 = 24, what is x? (a) 8 (b) 2 (c) 10 (d) 3
  20. 20.If 6x + 18 = 5x + 22, what is x? (a) 5 (b) 4 (c) 6 (d) 40
  21. 21.If 9x + 2 = x + 18, what is x? (a) 1 (b) 3 (c) 2 (d) 4
  22. 22.If 7x − 14 = 70, what is x? (a) 84 (b) 13 (c) 12 (d) 8
  23. 23.If 4x + 6 = 3x + 12, what is x? (a) 8 (b) 6 (c) 7 (d) 18
  24. 24.If 7x + 29 = 43, what is x? (a) 14 (b) 3 (c) 2 (d) 1
  25. 25.If 2x + 12 = 36, what is x? (a) 11 (b) 24 (c) 12 (d) 13
  26. 26.If 9x + 18 = 8x + 19, what is x? (a) 2 (b) 3 (c) 1 (d) 37
  27. 27.If 3x + 1 = x + 23, what is x? (a) 13 (b) 11 (c) 10 (d) 12
  28. 28.If 9x + 18 = x + 26, what is x? (a) 3 (b) 2 (c) 1 (d) 4
  29. 29.If 7x − 3 = 11, what is x? (a) 3 (b) 14 (c) 2 (d) 1
  30. 30.If x/5 + 3 = 6, what is x? (a) 3 (b) 45 (c) 15 (d) 27
  31. 31.If 4x − 29 = 7, what is x? (a) 9 (b) 10 (c) 8 (d) 36
  32. 32.If 6x + 6 = 3x + 15, what is x? (a) 1 (b) 4 (c) 7 (d) 3
  33. 33.If x/3 + 8 = 13, what is x? (a) 5 (b) 31 (c) 63 (d) 15
  34. 34.If 8x + 29 = 149, what is x? (a) 120 (b) 14 (c) 15 (d) 16
  35. 35.If x/4 + 6 = 10, what is x? (a) 64 (b) 4 (c) 16 (d) 34
  36. 36.If 8x − 13 = 51, what is x? (a) 64 (b) 7 (c) 9 (d) 8
  37. 37.If 6x + 7 = 5x + 17, what is x? (a) 12 (b) 10 (c) 24 (d) 11
  38. 38.If 2x − 6 = 24, what is x? (a) 30 (b) 15 (c) 16 (d) 9
  39. 39.If 2x − 9 = 3, what is x? (a) 5 (b) 12 (c) 7 (d) 6
  40. 40.If 9x − 25 = 2, what is x? (a) 2 (b) 27 (c) 4 (d) 3

Answer key

  1. 14
  2. 9
  3. 30
  4. 6
  5. 7
  6. 10
  7. 4
  8. 11
  9. 12
  10. 2
  11. 7
  12. 4
  13. 13
  14. 15
  15. 6
  16. 45
  17. 7
  18. 6
  19. 2
  20. 4
  21. 2
  22. 12
  23. 6
  24. 2
  25. 12
  26. 1
  27. 11
  28. 1
  29. 2
  30. 15
  31. 9
  32. 3
  33. 15
  34. 15
  35. 16
  36. 8
  37. 10
  38. 15
  39. 6
  40. 3

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