← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 515 · 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 3x + 2 = 32, what is x? (a) 30 (b) 11 (c) 9 (d) 10
  2. 2.If 8x + 6 = x + 83, what is x? (a) 10 (b) 12 (c) 13 (d) 11
  3. 3.If 8x + 8 = 128, what is x? (a) 16 (b) 15 (c) 120 (d) 17
  4. 4.If 2x − 5 = 9, what is x? (a) 2 (b) 14 (c) 7 (d) 8
  5. 5.If 4x + 3 = 2x + 15, what is x? (a) 9 (b) 7 (c) 2 (d) 6
  6. 6.If 9x − 18 = 36, what is x? (a) 7 (b) 6 (c) 54 (d) 2
  7. 7.If 5x + 21 = 41, what is x? (a) 5 (b) 20 (c) 4 (d) 3
  8. 8.If 5x + 24 = 99, what is x? (a) 14 (b) 16 (c) 75 (d) 15
  9. 9.If 7x + 14 = 4x + 17, what is x? (a) 2 (b) 3 (c) 1 (d) 4
  10. 10.If 4x + 16 = 3x + 28, what is x? (a) 12 (b) 13 (c) 44 (d) 14
  11. 11.If 8x + 5 = 2x + 23, what is x? (a) 4 (b) 5 (c) 3 (d) 2
  12. 12.If 9x + 6 = x + 86, what is x? (a) 10 (b) 8 (c) 12 (d) 11
  13. 13.If x/5 + 7 = 17, what is x? (a) 78 (b) 10 (c) 120 (d) 50
  14. 14.If 3x − 1 = 11, what is x? (a) 12 (b) 4 (c) 3 (d) 5
  15. 15.If 9x − 26 = 1, what is x? (a) 27 (b) 4 (c) 2 (d) 3
  16. 16.If 3x + 5 = 2x + 6, what is x? (a) 1 (b) 3 (c) 2 (d) 11
  17. 17.If 3x + 10 = x + 22, what is x? (a) 16 (b) 3 (c) 6 (d) 7
  18. 18.If 5x − 31 = 24, what is x? (a) 55 (b) 12 (c) 10 (d) 11
  19. 19.If 2x + 1 = 13, what is x? (a) 12 (b) 7 (c) 5 (d) 6
  20. 20.If x/2 + 10 = 19, what is x? (a) 58 (b) 9 (c) 18 (d) 28
  21. 21.If 9x + 1 = 127, what is x? (a) 126 (b) 14 (c) 15 (d) 13
  22. 22.If 3x − 15 = 3, what is x? (a) 18 (b) 7 (c) 6 (d) 5
  23. 23.If x/6 + 2 = 11, what is x? (a) 64 (b) 9 (c) 54 (d) 78
  24. 24.If x/4 + 5 = 16, what is x? (a) 84 (b) 44 (c) 11 (d) 59
  25. 25.If 2x + 23 = 41, what is x? (a) 32 (b) 10 (c) 18 (d) 9
  26. 26.If 5x − 4 = 16, what is x? (a) 20 (b) 3 (c) 4 (d) 5
  27. 27.If 3x + 13 = x + 15, what is x? (a) 14 (b) 1 (c) 2 (d) 3
  28. 28.If 3x + 20 = 2x + 22, what is x? (a) 3 (b) 4 (c) 2 (d) 42
  29. 29.If 5x − 33 = 12, what is x? (a) 9 (b) 10 (c) 45 (d) 8
  30. 30.If 9x − 17 = 37, what is x? (a) 7 (b) 54 (c) 5 (d) 6
  31. 31.If 2x − 4 = 14, what is x? (a) 10 (b) 9 (c) 5 (d) 18
  32. 32.If 5x + 12 = 3x + 20, what is x? (a) 1 (b) 5 (c) 16 (d) 4
  33. 33.If x/6 + 14 = 20, what is x? (a) 204 (b) 36 (c) 106 (d) 6
  34. 34.If 9x + 6 = 3x + 18, what is x? (a) 2 (b) 4 (c) 3 (d) 1
  35. 35.If 5x + 19 = 3x + 35, what is x? (a) 9 (b) 2 (c) 27 (d) 8
  36. 36.If 6x − 42 = 12, what is x? (a) 54 (b) 10 (c) 8 (d) 9
  37. 37.If 9x + 3 = x + 59, what is x? (a) 8 (b) 7 (c) 6 (d) 9
  38. 38.If 8x − 58 = 38, what is x? (a) 13 (b) 12 (c) 96 (d) 11
  39. 39.If 5x + 4 = 2x + 10, what is x? (a) 2 (b) 1 (c) 3 (d) 4
  40. 40.If x/3 + 3 = 8, what is x? (a) 15 (b) 5 (c) 21 (d) 33

Answer key

  1. 10
  2. 11
  3. 15
  4. 7
  5. 6
  6. 6
  7. 4
  8. 15
  9. 1
  10. 12
  11. 3
  12. 10
  13. 50
  14. 4
  15. 3
  16. 1
  17. 6
  18. 11
  19. 6
  20. 18
  21. 14
  22. 6
  23. 54
  24. 44
  25. 9
  26. 4
  27. 1
  28. 2
  29. 9
  30. 6
  31. 9
  32. 4
  33. 36
  34. 2
  35. 8
  36. 9
  37. 7
  38. 12
  39. 2
  40. 15

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad