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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 506 · 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 − 3 = 25, what is x? (a) 6 (b) 7 (c) 8 (d) 28
  2. 2.If x/3 + 6 = 18, what is x? (a) 48 (b) 36 (c) 72 (d) 12
  3. 3.If 3x + 4 = 25, what is x? (a) 8 (b) 6 (c) 7 (d) 21
  4. 4.If 2x − 4 = 4, what is x? (a) 3 (b) 4 (c) 8 (d) 5
  5. 5.If 4x − 8 = 4, what is x? (a) 12 (b) 4 (c) 3 (d) 2
  6. 6.If 6x + 4 = 70, what is x? (a) 10 (b) 12 (c) 11 (d) 66
  7. 7.If x/2 + 2 = 6, what is x? (a) 16 (b) 8 (c) 10 (d) 4
  8. 8.If 6x + 29 = 101, what is x? (a) 13 (b) 12 (c) 11 (d) 72
  9. 9.If x/5 + 2 = 6, what is x? (a) 20 (b) 28 (c) 40 (d) 4
  10. 10.If 4x − 35 = 5, what is x? (a) 10 (b) 9 (c) 40 (d) 11
  11. 11.If 2x + 23 = 47, what is x? (a) 24 (b) 35 (c) 12 (d) 13
  12. 12.If x/2 + 7 = 11, what is x? (a) 36 (b) 8 (c) 15 (d) 4
  13. 13.If 7x + 6 = 55, what is x? (a) 7 (b) 49 (c) 8 (d) 6
  14. 14.If 9x − 40 = 5, what is x? (a) 6 (b) 4 (c) 45 (d) 5
  15. 15.If 6x + 21 = 99, what is x? (a) 20 (b) 13 (c) 78 (d) 14
  16. 16.If 8x + 10 = 3x + 50, what is x? (a) 9 (b) 12 (c) 10 (d) 8
  17. 17.If 4x + 17 = 2x + 31, what is x? (a) 24 (b) 7 (c) 8 (d) 9
  18. 18.If x/5 + 10 = 14, what is x? (a) 60 (b) 120 (c) 4 (d) 20
  19. 19.If 2x + 21 = 33, what is x? (a) 12 (b) 6 (c) 27 (d) 7
  20. 20.If 2x + 25 = 49, what is x? (a) 13 (b) 24 (c) 37 (d) 12
  21. 21.If 6x + 4 = 46, what is x? (a) 8 (b) 6 (c) 7 (d) 42
  22. 22.If 3x + 18 = 2x + 30, what is x? (a) 14 (b) 12 (c) 13 (d) 48
  23. 23.If x/4 + 12 = 17, what is x? (a) 20 (b) 5 (c) 56 (d) 116
  24. 24.If 4x + 16 = 24, what is x? (a) 2 (b) 3 (c) 8 (d) 10
  25. 25.If 8x − 39 = 33, what is x? (a) 9 (b) 10 (c) 72 (d) 8
  26. 26.If 4x + 7 = 2x + 15, what is x? (a) 5 (b) 4 (c) 11 (d) 6
  27. 27.If 4x + 4 = 2x + 26, what is x? (a) 13 (b) 12 (c) 15 (d) 11
  28. 28.If 7x + 8 = 6x + 11, what is x? (a) 5 (b) 4 (c) 3 (d) 19
  29. 29.If 6x + 21 = 81, what is x? (a) 17 (b) 60 (c) 10 (d) 11
  30. 30.If 3x + 16 = 31, what is x? (a) 6 (b) 15 (c) 4 (d) 5
  31. 31.If 8x + 11 = 107, what is x? (a) 96 (b) 12 (c) 11 (d) 13
  32. 32.If 4x + 16 = 3x + 24, what is x? (a) 10 (b) 9 (c) 40 (d) 8
  33. 33.If 7x + 1 = 64, what is x? (a) 9 (b) 63 (c) 8 (d) 10
  34. 34.If 6x + 16 = 5x + 19, what is x? (a) 4 (b) 5 (c) 35 (d) 3
  35. 35.If x/2 + 5 = 13, what is x? (a) 36 (b) 21 (c) 16 (d) 8
  36. 36.If 9x + 5 = 113, what is x? (a) 12 (b) 13 (c) 11 (d) 108
  37. 37.If x/6 + 3 = 14, what is x? (a) 81 (b) 102 (c) 11 (d) 66
  38. 38.If 2x + 9 = 15, what is x? (a) 4 (b) 3 (c) 12 (d) 6
  39. 39.If 7x − 20 = 29, what is x? (a) 6 (b) 8 (c) 49 (d) 7
  40. 40.If x/2 + 4 = 6, what is x? (a) 8 (b) 4 (c) 2 (d) 20

Answer key

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

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