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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 42 · 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 + 30 = 121, what is x? (a) 12 (b) 13 (c) 14 (d) 91
  2. 2.If 9x + 19 = 8x + 20, what is x? (a) 3 (b) 2 (c) 39 (d) 1
  3. 3.If 4x − 6 = 26, what is x? (a) 9 (b) 32 (c) 5 (d) 8
  4. 4.If 2x + 8 = 16, what is x? (a) 12 (b) 4 (c) 5 (d) 8
  5. 5.If 3x − 25 = 17, what is x? (a) 13 (b) 15 (c) 14 (d) 42
  6. 6.If 7x + 2 = 5x + 22, what is x? (a) 10 (b) 11 (c) 9 (d) 12
  7. 7.If 8x + 23 = 47, what is x? (a) 3 (b) 24 (c) 4 (d) 2
  8. 8.If 9x + 3 = 111, what is x? (a) 13 (b) 11 (c) 12 (d) 108
  9. 9.If 2x − 3 = 5, what is x? (a) 4 (b) 1 (c) 5 (d) 8
  10. 10.If x/3 + 3 = 14, what is x? (a) 39 (b) 51 (c) 33 (d) 11
  11. 11.If 9x + 3 = 2x + 24, what is x? (a) 4 (b) 3 (c) 5 (d) 2
  12. 12.If 2x − 7 = 1, what is x? (a) 5 (b) 8 (c) 3 (d) 4
  13. 13.If x/2 + 4 = 8, what is x? (a) 4 (b) 8 (c) 24 (d) 12
  14. 14.If 7x − 4 = 87, what is x? (a) 91 (b) 14 (c) 12 (d) 13
  15. 15.If 3x + 20 = 56, what is x? (a) 11 (b) 36 (c) 13 (d) 12
  16. 16.If 7x − 12 = 9, what is x? (a) 3 (b) 4 (c) 21 (d) 2
  17. 17.If 2x + 18 = 26, what is x? (a) 22 (b) 4 (c) 5 (d) 8
  18. 18.If 6x + 2 = 20, what is x? (a) 4 (b) 2 (c) 18 (d) 3
  19. 19.If 2x − 4 = 20, what is x? (a) 24 (b) 13 (c) 8 (d) 12
  20. 20.If x/5 + 4 = 6, what is x? (a) 50 (b) 10 (c) 26 (d) 2
  21. 21.If 6x + 13 = 43, what is x? (a) 5 (b) 4 (c) 6 (d) 30
  22. 22.If x/6 + 4 = 9, what is x? (a) 78 (b) 5 (c) 50 (d) 30
  23. 23.If 2x − 27 = 3, what is x? (a) 15 (b) 16 (c) 14 (d) 30
  24. 24.If 8x − 6 = 34, what is x? (a) 6 (b) 5 (c) 4 (d) 40
  25. 25.If 2x + 9 = 25, what is x? (a) 16 (b) 9 (c) 17 (d) 8
  26. 26.If 7x − 9 = 5, what is x? (a) 1 (b) 14 (c) 3 (d) 2
  27. 27.If 9x + 17 = x + 81, what is x? (a) 7 (b) 10 (c) 8 (d) 9
  28. 28.If 2x + 24 = 52, what is x? (a) 15 (b) 38 (c) 28 (d) 14
  29. 29.If 9x + 28 = 55, what is x? (a) 4 (b) 27 (c) 3 (d) 2
  30. 30.If x/3 + 7 = 17, what is x? (a) 72 (b) 44 (c) 30 (d) 10
  31. 31.If x/2 + 4 = 14, what is x? (a) 10 (b) 36 (c) 24 (d) 20
  32. 32.If x/4 + 2 = 11, what is x? (a) 42 (b) 52 (c) 36 (d) 9
  33. 33.If 8x + 5 = 4x + 13, what is x? (a) 2 (b) 3 (c) 1 (d) 4
  34. 34.If 8x + 10 = 4x + 30, what is x? (a) 10 (b) 6 (c) 7 (d) 5
  35. 35.If x/6 + 11 = 23, what is x? (a) 204 (b) 72 (c) 12 (d) 127
  36. 36.If 5x − 15 = 20, what is x? (a) 1 (b) 35 (c) 7 (d) 8
  37. 37.If x/5 + 6 = 10, what is x? (a) 4 (b) 80 (c) 44 (d) 20
  38. 38.If 9x + 14 = 95, what is x? (a) 10 (b) 81 (c) 9 (d) 8
  39. 39.If 4x + 16 = 40, what is x? (a) 7 (b) 14 (c) 6 (d) 24
  40. 40.If 4x + 1 = 2x + 9, what is x? (a) 6 (b) 5 (c) 4 (d) 3

Answer key

  1. 13
  2. 1
  3. 8
  4. 4
  5. 14
  6. 10
  7. 3
  8. 12
  9. 4
  10. 33
  11. 3
  12. 4
  13. 8
  14. 13
  15. 12
  16. 3
  17. 4
  18. 3
  19. 12
  20. 10
  21. 5
  22. 30
  23. 15
  24. 5
  25. 8
  26. 2
  27. 8
  28. 14
  29. 3
  30. 30
  31. 20
  32. 36
  33. 2
  34. 5
  35. 72
  36. 7
  37. 20
  38. 9
  39. 6
  40. 4

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