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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 483 · 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 − 2 = 25, what is x? (a) 27 (b) 2 (c) 3 (d) 4
  2. 2.If x/6 + 8 = 19, what is x? (a) 106 (b) 11 (c) 162 (d) 66
  3. 3.If 7x − 23 = 61, what is x? (a) 84 (b) 13 (c) 12 (d) 11
  4. 4.If x/5 + 3 = 7, what is x? (a) 32 (b) 4 (c) 20 (d) 50
  5. 5.If 6x − 23 = 55, what is x? (a) 78 (b) 13 (c) 14 (d) 12
  6. 6.If 2x − 3 = 9, what is x? (a) 12 (b) 6 (c) 7 (d) 3
  7. 7.If x/6 + 10 = 13, what is x? (a) 138 (b) 18 (c) 3 (d) 68
  8. 8.If 5x + 11 = 4x + 12, what is x? (a) 23 (b) 2 (c) 3 (d) 1
  9. 9.If x/6 + 1 = 5, what is x? (a) 29 (b) 24 (c) 36 (d) 4
  10. 10.If 3x + 21 = 33, what is x? (a) 4 (b) 12 (c) 18 (d) 5
  11. 11.If 7x − 47 = 23, what is x? (a) 11 (b) 10 (c) 70 (d) 9
  12. 12.If 3x − 18 = 18, what is x? (a) 36 (b) 11 (c) 13 (d) 12
  13. 13.If x/2 + 4 = 14, what is x? (a) 10 (b) 36 (c) 24 (d) 20
  14. 14.If 6x + 10 = 28, what is x? (a) 3 (b) 4 (c) 2 (d) 18
  15. 15.If 5x + 4 = 24, what is x? (a) 5 (b) 3 (c) 20 (d) 4
  16. 16.If 4x + 18 = 70, what is x? (a) 52 (b) 22 (c) 13 (d) 14
  17. 17.If 9x − 34 = 11, what is x? (a) 5 (b) 45 (c) 4 (d) 6
  18. 18.If 3x − 7 = 20, what is x? (a) 27 (b) 10 (c) 8 (d) 9
  19. 19.If 4x − 6 = 2, what is x? (a) 3 (b) 8 (c) 1 (d) 2
  20. 20.If 6x − 48 = 12, what is x? (a) 9 (b) 10 (c) 11 (d) 60
  21. 21.If x/5 + 10 = 20, what is x? (a) 10 (b) 90 (c) 50 (d) 150
  22. 22.If 3x − 3 = 6, what is x? (a) 4 (b) 3 (c) 1 (d) 9
  23. 23.If 4x + 1 = x + 34, what is x? (a) 12 (b) 13 (c) 10 (d) 11
  24. 24.If 4x + 6 = x + 36, what is x? (a) 14 (b) 6 (c) 10 (d) 11
  25. 25.If 9x + 7 = 52, what is x? (a) 5 (b) 4 (c) 45 (d) 6
  26. 26.If 7x − 22 = 13, what is x? (a) 35 (b) 6 (c) 4 (d) 5
  27. 27.If 8x + 11 = x + 18, what is x? (a) 3 (b) 4 (c) 2 (d) 1
  28. 28.If 7x + 4 = 25, what is x? (a) 4 (b) 21 (c) 2 (d) 3
  29. 29.If x/4 + 6 = 17, what is x? (a) 44 (b) 92 (c) 62 (d) 11
  30. 30.If x/2 + 14 = 26, what is x? (a) 12 (b) 80 (c) 38 (d) 24
  31. 31.If 4x + 25 = 61, what is x? (a) 36 (b) 9 (c) 8 (d) 10
  32. 32.If 3x + 6 = 48, what is x? (a) 14 (b) 42 (c) 18 (d) 15
  33. 33.If 3x − 7 = 29, what is x? (a) 13 (b) 12 (c) 11 (d) 36
  34. 34.If 5x + 6 = 3x + 24, what is x? (a) 9 (b) 11 (c) 15 (d) 10
  35. 35.If 7x + 17 = 115, what is x? (a) 13 (b) 14 (c) 98 (d) 15
  36. 36.If 5x + 20 = 30, what is x? (a) 10 (b) 1 (c) 3 (d) 2
  37. 37.If 6x + 7 = 61, what is x? (a) 9 (b) 10 (c) 54 (d) 8
  38. 38.If 3x + 24 = 69, what is x? (a) 16 (b) 31 (c) 15 (d) 45
  39. 39.If x/3 + 8 = 13, what is x? (a) 63 (b) 15 (c) 31 (d) 5
  40. 40.If 7x + 14 = 28, what is x? (a) 3 (b) 6 (c) 14 (d) 2

Answer key

  1. 3
  2. 66
  3. 12
  4. 20
  5. 13
  6. 6
  7. 18
  8. 1
  9. 24
  10. 4
  11. 10
  12. 12
  13. 20
  14. 3
  15. 4
  16. 13
  17. 5
  18. 9
  19. 2
  20. 10
  21. 50
  22. 3
  23. 11
  24. 10
  25. 5
  26. 5
  27. 1
  28. 3
  29. 44
  30. 24
  31. 9
  32. 14
  33. 12
  34. 9
  35. 14
  36. 2
  37. 9
  38. 15
  39. 15
  40. 2

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