← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 205 · 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 + 17 = 59, what is x? (a) 13 (b) 15 (c) 42 (d) 14
  2. 2.If 7x + 22 = 43, what is x? (a) 2 (b) 3 (c) 4 (d) 21
  3. 3.If 6x + 8 = 4x + 20, what is x? (a) 6 (b) 14 (c) 7 (d) 8
  4. 4.If x/4 + 2 = 11, what is x? (a) 36 (b) 52 (c) 9 (d) 42
  5. 5.If 3x − 1 = 11, what is x? (a) 12 (b) 3 (c) 5 (d) 4
  6. 6.If x/4 + 10 = 14, what is x? (a) 46 (b) 16 (c) 96 (d) 4
  7. 7.If x/2 + 10 = 21, what is x? (a) 32 (b) 22 (c) 11 (d) 62
  8. 8.If 3x + 26 = 38, what is x? (a) 5 (b) 12 (c) 4 (d) 3
  9. 9.If 3x + 4 = 2x + 8, what is x? (a) 12 (b) 6 (c) 4 (d) 5
  10. 10.If 6x − 1 = 17, what is x? (a) 18 (b) 2 (c) 4 (d) 3
  11. 11.If 6x + 16 = 76, what is x? (a) 60 (b) 9 (c) 11 (d) 10
  12. 12.If 2x + 2 = 14, what is x? (a) 6 (b) 7 (c) 12 (d) 8
  13. 13.If 4x + 24 = 52, what is x? (a) 28 (b) 7 (c) 19 (d) 8
  14. 14.If 8x + 11 = x + 95, what is x? (a) 12 (b) 11 (c) 13 (d) 14
  15. 15.If 3x + 18 = 24, what is x? (a) 14 (b) 6 (c) 3 (d) 2
  16. 16.If 3x + 4 = x + 18, what is x? (a) 9 (b) 11 (c) 8 (d) 7
  17. 17.If 8x + 22 = 134, what is x? (a) 15 (b) 13 (c) 14 (d) 112
  18. 18.If x/3 + 7 = 19, what is x? (a) 36 (b) 12 (c) 50 (d) 78
  19. 19.If x/5 + 5 = 14, what is x? (a) 65 (b) 95 (c) 9 (d) 45
  20. 20.If 2x − 5 = 15, what is x? (a) 20 (b) 11 (c) 10 (d) 5
  21. 21.If 7x + 25 = 109, what is x? (a) 84 (b) 11 (c) 12 (d) 13
  22. 22.If 9x + 9 = 2x + 93, what is x? (a) 12 (b) 14 (c) 11 (d) 13
  23. 23.If 5x − 18 = 7, what is x? (a) 5 (b) 6 (c) 4 (d) 25
  24. 24.If 6x + 15 = 51, what is x? (a) 6 (b) 11 (c) 7 (d) 36
  25. 25.If 8x + 29 = 45, what is x? (a) 2 (b) 1 (c) 16 (d) 3
  26. 26.If 6x + 11 = 41, what is x? (a) 5 (b) 30 (c) 6 (d) 4
  27. 27.If x/6 + 11 = 16, what is x? (a) 30 (b) 85 (c) 162 (d) 5
  28. 28.If 4x + 18 = 46, what is x? (a) 8 (b) 16 (c) 28 (d) 7
  29. 29.If x/5 + 9 = 15, what is x? (a) 66 (b) 120 (c) 6 (d) 30
  30. 30.If 5x − 7 = 3, what is x? (a) 2 (b) 3 (c) 1 (d) 10
  31. 31.If 3x + 23 = 41, what is x? (a) 18 (b) 7 (c) 5 (d) 6
  32. 32.If 9x + 5 = 95, what is x? (a) 90 (b) 9 (c) 11 (d) 10
  33. 33.If 3x + 6 = 2x + 7, what is x? (a) 3 (b) 13 (c) 2 (d) 1
  34. 34.If x/4 + 14 = 26, what is x? (a) 90 (b) 160 (c) 12 (d) 48
  35. 35.If 9x + 4 = 112, what is x? (a) 13 (b) 108 (c) 11 (d) 12
  36. 36.If 2x + 6 = 34, what is x? (a) 20 (b) 14 (c) 15 (d) 28
  37. 37.If 8x + 3 = 43, what is x? (a) 5 (b) 4 (c) 40 (d) 6
  38. 38.If 6x − 12 = 48, what is x? (a) 60 (b) 6 (c) 11 (d) 10
  39. 39.If 6x − 4 = 20, what is x? (a) 24 (b) 5 (c) 3 (d) 4
  40. 40.If 5x + 4 = 79, what is x? (a) 14 (b) 16 (c) 15 (d) 75

Answer key

  1. 14
  2. 3
  3. 6
  4. 36
  5. 4
  6. 16
  7. 22
  8. 4
  9. 4
  10. 3
  11. 10
  12. 6
  13. 7
  14. 12
  15. 2
  16. 7
  17. 14
  18. 36
  19. 45
  20. 10
  21. 12
  22. 12
  23. 5
  24. 6
  25. 2
  26. 5
  27. 30
  28. 7
  29. 30
  30. 2
  31. 6
  32. 10
  33. 1
  34. 48
  35. 12
  36. 14
  37. 5
  38. 10
  39. 4
  40. 15

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