← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 721 · 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 x/2 + 5 = 7, what is x? (a) 24 (b) 9 (c) 4 (d) 2
  2. 2.If 6x + 2 = 5x + 14, what is x? (a) 13 (b) 14 (c) 16 (d) 12
  3. 3.If 2x − 1 = 5, what is x? (a) 2 (b) 4 (c) 6 (d) 3
  4. 4.If 3x + 3 = 18, what is x? (a) 15 (b) 5 (c) 7 (d) 6
  5. 5.If 4x + 2 = 38, what is x? (a) 10 (b) 9 (c) 36 (d) 8
  6. 6.If x/3 + 15 = 17, what is x? (a) 96 (b) 2 (c) 6 (d) 36
  7. 7.If 2x + 7 = 13, what is x? (a) 3 (b) 10 (c) 6 (d) 4
  8. 8.If 9x − 100 = 35, what is x? (a) 14 (b) 15 (c) 16 (d) 135
  9. 9.If 4x + 9 = x + 36, what is x? (a) 11 (b) 10 (c) 15 (d) 9
  10. 10.If 5x + 28 = 83, what is x? (a) 10 (b) 11 (c) 12 (d) 55
  11. 11.If 6x + 7 = 49, what is x? (a) 42 (b) 6 (c) 7 (d) 8
  12. 12.If 5x − 14 = 1, what is x? (a) 3 (b) 15 (c) 4 (d) 2
  13. 13.If 8x + 22 = 62, what is x? (a) 40 (b) 6 (c) 4 (d) 5
  14. 14.If 9x + 8 = 4x + 18, what is x? (a) 2 (b) 3 (c) 1 (d) 4
  15. 15.If x/3 + 11 = 21, what is x? (a) 10 (b) 96 (c) 30 (d) 52
  16. 16.If 9x + 24 = 159, what is x? (a) 14 (b) 15 (c) 16 (d) 135
  17. 17.If x/6 + 4 = 9, what is x? (a) 5 (b) 50 (c) 78 (d) 30
  18. 18.If 3x − 1 = 5, what is x? (a) 1 (b) 2 (c) 6 (d) 3
  19. 19.If 3x + 15 = 2x + 17, what is x? (a) 3 (b) 4 (c) 32 (d) 2
  20. 20.If 9x + 2 = 20, what is x? (a) 18 (b) 2 (c) 1 (d) 3
  21. 21.If x/5 + 10 = 22, what is x? (a) 100 (b) 12 (c) 60 (d) 160
  22. 22.If x/3 + 10 = 22, what is x? (a) 56 (b) 12 (c) 96 (d) 36
  23. 23.If 8x − 12 = 12, what is x? (a) 4 (b) 3 (c) 2 (d) 24
  24. 24.If 5x + 14 = 49, what is x? (a) 35 (b) 6 (c) 8 (d) 7
  25. 25.If 9x + 14 = 5x + 62, what is x? (a) 14 (b) 19 (c) 12 (d) 13
  26. 26.If x/2 + 7 = 9, what is x? (a) 32 (b) 2 (c) 4 (d) 11
  27. 27.If 4x + 22 = 42, what is x? (a) 5 (b) 6 (c) 20 (d) 16
  28. 28.If 7x + 10 = 45, what is x? (a) 4 (b) 35 (c) 6 (d) 5
  29. 29.If x/6 + 6 = 8, what is x? (a) 2 (b) 84 (c) 12 (d) 42
  30. 30.If 3x + 29 = 44, what is x? (a) 15 (b) 6 (c) 4 (d) 5
  31. 31.If 7x − 9 = 12, what is x? (a) 2 (b) 21 (c) 3 (d) 4
  32. 32.If 6x − 19 = 41, what is x? (a) 60 (b) 10 (c) 11 (d) 9
  33. 33.If 9x + 17 = 2x + 80, what is x? (a) 11 (b) 10 (c) 8 (d) 9
  34. 34.If x/6 + 15 = 20, what is x? (a) 105 (b) 5 (c) 210 (d) 30
  35. 35.If 2x − 5 = 3, what is x? (a) 3 (b) 4 (c) 5 (d) 8
  36. 36.If x/6 + 4 = 15, what is x? (a) 86 (b) 114 (c) 66 (d) 11
  37. 37.If 8x − 6 = 50, what is x? (a) 6 (b) 7 (c) 56 (d) 8
  38. 38.If 2x − 3 = 3, what is x? (a) 6 (b) 3 (c) 2 (d) 4
  39. 39.If 6x + 8 = x + 28, what is x? (a) 3 (b) 5 (c) 4 (d) 6
  40. 40.If 3x + 7 = 40, what is x? (a) 12 (b) 33 (c) 10 (d) 11

Answer key

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

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