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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 585 · 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 + 2 = 26, what is x? (a) 5 (b) 24 (c) 7 (d) 6
  2. 2.If x/6 + 11 = 17, what is x? (a) 6 (b) 168 (c) 36 (d) 91
  3. 3.If 4x + 12 = 3x + 14, what is x? (a) 26 (b) 3 (c) 4 (d) 2
  4. 4.If 3x + 17 = 2x + 26, what is x? (a) 9 (b) 43 (c) 10 (d) 11
  5. 5.If 4x + 3 = x + 39, what is x? (a) 12 (b) 13 (c) 14 (d) 11
  6. 6.If 8x − 10 = 70, what is x? (a) 11 (b) 9 (c) 10 (d) 80
  7. 7.If x/2 + 6 = 10, what is x? (a) 8 (b) 14 (c) 4 (d) 32
  8. 8.If 2x + 1 = 19, what is x? (a) 18 (b) 9 (c) 10 (d) 8
  9. 9.If 8x − 64 = 24, what is x? (a) 10 (b) 12 (c) 11 (d) 88
  10. 10.If 3x + 19 = 46, what is x? (a) 8 (b) 9 (c) 10 (d) 27
  11. 11.If 5x + 5 = 70, what is x? (a) 65 (b) 15 (c) 14 (d) 13
  12. 12.If 3x − 3 = 15, what is x? (a) 6 (b) 7 (c) 4 (d) 18
  13. 13.If x/5 + 9 = 21, what is x? (a) 96 (b) 12 (c) 150 (d) 60
  14. 14.If x/2 + 4 = 13, what is x? (a) 22 (b) 9 (c) 18 (d) 34
  15. 15.If 3x + 20 = 2x + 24, what is x? (a) 4 (b) 5 (c) 44 (d) 6
  16. 16.If 2x − 3 = 3, what is x? (a) 2 (b) 3 (c) 4 (d) 6
  17. 17.If 5x − 3 = 12, what is x? (a) 15 (b) 4 (c) 2 (d) 3
  18. 18.If 4x + 5 = 21, what is x? (a) 3 (b) 5 (c) 4 (d) 16
  19. 19.If 6x + 11 = 2x + 59, what is x? (a) 13 (b) 14 (c) 6 (d) 12
  20. 20.If 7x + 16 = 3x + 60, what is x? (a) 12 (b) 13 (c) 11 (d) 19
  21. 21.If 7x + 20 = 62, what is x? (a) 5 (b) 7 (c) 6 (d) 42
  22. 22.If x/2 + 11 = 18, what is x? (a) 7 (b) 58 (c) 25 (d) 14
  23. 23.If x/6 + 9 = 20, what is x? (a) 66 (b) 174 (c) 11 (d) 111
  24. 24.If 5x + 15 = 4x + 19, what is x? (a) 4 (b) 6 (c) 34 (d) 5
  25. 25.If 3x − 8 = 34, what is x? (a) 15 (b) 14 (c) 42 (d) 13
  26. 26.If 7x + 6 = 97, what is x? (a) 12 (b) 14 (c) 91 (d) 13
  27. 27.If 4x + 7 = x + 34, what is x? (a) 11 (b) 9 (c) 10 (d) 8
  28. 28.If 7x − 90 = 1, what is x? (a) 91 (b) 14 (c) 12 (d) 13
  29. 29.If 6x + 18 = 84, what is x? (a) 11 (b) 66 (c) 17 (d) 12
  30. 30.If 8x − 9 = 95, what is x? (a) 12 (b) 13 (c) 104 (d) 14
  31. 31.If 6x + 4 = 70, what is x? (a) 66 (b) 11 (c) 10 (d) 12
  32. 32.If 2x − 14 = 16, what is x? (a) 1 (b) 15 (c) 30 (d) 16
  33. 33.If 4x + 8 = 2x + 22, what is x? (a) 15 (b) 9 (c) 7 (d) 8
  34. 34.If 8x − 3 = 29, what is x? (a) 3 (b) 32 (c) 4 (d) 5
  35. 35.If 4x + 10 = x + 34, what is x? (a) 10 (b) 9 (c) 7 (d) 8
  36. 36.If 6x + 23 = 65, what is x? (a) 8 (b) 42 (c) 6 (d) 7
  37. 37.If 8x − 17 = 7, what is x? (a) 4 (b) 3 (c) 24 (d) 2
  38. 38.If 7x + 16 = 86, what is x? (a) 9 (b) 70 (c) 10 (d) 11
  39. 39.If 6x + 1 = x + 56, what is x? (a) 11 (b) 12 (c) 13 (d) 10
  40. 40.If 2x − 5 = 21, what is x? (a) 8 (b) 13 (c) 14 (d) 26

Answer key

  1. 6
  2. 36
  3. 2
  4. 9
  5. 12
  6. 10
  7. 8
  8. 9
  9. 11
  10. 9
  11. 13
  12. 6
  13. 60
  14. 18
  15. 4
  16. 3
  17. 3
  18. 4
  19. 12
  20. 11
  21. 6
  22. 14
  23. 66
  24. 4
  25. 14
  26. 13
  27. 9
  28. 13
  29. 11
  30. 13
  31. 11
  32. 15
  33. 7
  34. 4
  35. 8
  36. 7
  37. 3
  38. 10
  39. 11
  40. 13

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