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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 307 · 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 9x − 7 = 11, what is x? (a) 18 (b) 2 (c) 3 (d) 1
  2. 2.If x/6 + 1 = 7, what is x? (a) 48 (b) 36 (c) 6 (d) 41
  3. 3.If 6x + 10 = 4x + 28, what is x? (a) 19 (b) 11 (c) 9 (d) 10
  4. 4.If 4x − 12 = 16, what is x? (a) 1 (b) 7 (c) 8 (d) 28
  5. 5.If 5x + 28 = 43, what is x? (a) 3 (b) 4 (c) 2 (d) 15
  6. 6.If 6x − 4 = 26, what is x? (a) 30 (b) 6 (c) 4 (d) 5
  7. 7.If 8x − 5 = 43, what is x? (a) 48 (b) 5 (c) 6 (d) 7
  8. 8.If 5x + 12 = 47, what is x? (a) 35 (b) 6 (c) 7 (d) 8
  9. 9.If x/6 + 5 = 12, what is x? (a) 7 (b) 102 (c) 42 (d) 67
  10. 10.If 4x + 27 = 35, what is x? (a) 8 (b) 1 (c) 3 (d) 2
  11. 11.If 7x − 1 = 20, what is x? (a) 3 (b) 2 (c) 4 (d) 21
  12. 12.If 6x + 7 = 85, what is x? (a) 78 (b) 14 (c) 12 (d) 13
  13. 13.If 2x + 13 = 41, what is x? (a) 28 (b) 15 (c) 14 (d) 27
  14. 14.If 7x + 9 = 3x + 13, what is x? (a) 1 (b) 3 (c) 2 (d) 4
  15. 15.If x/3 + 13 = 24, what is x? (a) 33 (b) 111 (c) 11 (d) 59
  16. 16.If x/2 + 9 = 13, what is x? (a) 4 (b) 17 (c) 44 (d) 8
  17. 17.If 6x − 6 = 78, what is x? (a) 15 (b) 84 (c) 12 (d) 14
  18. 18.If 8x + 16 = 6x + 40, what is x? (a) 14 (b) 12 (c) 28 (d) 13
  19. 19.If 4x − 6 = 2, what is x? (a) 8 (b) 2 (c) 3 (d) 1
  20. 20.If 7x + 14 = 42, what is x? (a) 5 (b) 4 (c) 28 (d) 8
  21. 21.If 3x + 12 = x + 30, what is x? (a) 21 (b) 10 (c) 11 (d) 9
  22. 22.If 6x + 7 = x + 12, what is x? (a) 3 (b) 4 (c) 2 (d) 1
  23. 23.If 3x + 16 = x + 34, what is x? (a) 25 (b) 11 (c) 10 (d) 9
  24. 24.If 7x + 18 = 4x + 39, what is x? (a) 7 (b) 19 (c) 8 (d) 9
  25. 25.If 8x + 15 = 3x + 35, what is x? (a) 6 (b) 10 (c) 5 (d) 4
  26. 26.If 9x − 10 = 26, what is x? (a) 5 (b) 3 (c) 4 (d) 36
  27. 27.If 3x − 5 = 16, what is x? (a) 7 (b) 8 (c) 6 (d) 21
  28. 28.If 2x + 20 = 28, what is x? (a) 24 (b) 8 (c) 4 (d) 5
  29. 29.If 8x − 13 = 11, what is x? (a) 24 (b) 3 (c) 2 (d) 4
  30. 30.If 5x + 9 = 74, what is x? (a) 14 (b) 65 (c) 12 (d) 13
  31. 31.If 3x + 4 = x + 24, what is x? (a) 11 (b) 10 (c) 5 (d) 14
  32. 32.If 9x + 4 = 76, what is x? (a) 9 (b) 72 (c) 7 (d) 8
  33. 33.If 3x − 8 = 1, what is x? (a) 2 (b) 3 (c) 4 (d) 9
  34. 34.If 6x − 9 = 63, what is x? (a) 72 (b) 12 (c) 13 (d) 9
  35. 35.If 3x + 3 = x + 7, what is x? (a) 5 (b) 1 (c) 2 (d) 3
  36. 36.If 9x + 6 = x + 78, what is x? (a) 11 (b) 9 (c) 8 (d) 10
  37. 37.If 6x + 3 = 3x + 39, what is x? (a) 14 (b) 12 (c) 13 (d) 4
  38. 38.If 2x + 24 = 40, what is x? (a) 16 (b) 32 (c) 9 (d) 8
  39. 39.If 2x + 10 = 30, what is x? (a) 11 (b) 9 (c) 10 (d) 20
  40. 40.If 2x + 22 = 34, what is x? (a) 6 (b) 7 (c) 28 (d) 12

Answer key

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

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