← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 697 · 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 6x + 3 = 69, what is x? (a) 12 (b) 66 (c) 11 (d) 10
  2. 2.If 2x + 26 = 34, what is x? (a) 4 (b) 5 (c) 30 (d) 8
  3. 3.If 2x − 1 = 3, what is x? (a) 2 (b) 1 (c) 3 (d) 4
  4. 4.If 4x + 4 = 28, what is x? (a) 8 (b) 6 (c) 24 (d) 7
  5. 5.If x/5 + 8 = 19, what is x? (a) 11 (b) 135 (c) 87 (d) 55
  6. 6.If 8x + 6 = 22, what is x? (a) 1 (b) 3 (c) 16 (d) 2
  7. 7.If x/6 + 2 = 13, what is x? (a) 11 (b) 90 (c) 76 (d) 66
  8. 8.If 9x − 5 = 13, what is x? (a) 1 (b) 2 (c) 18 (d) 3
  9. 9.If 3x + 24 = 48, what is x? (a) 9 (b) 7 (c) 24 (d) 8
  10. 10.If 2x − 2 = 2, what is x? (a) 2 (b) 1 (c) 4 (d) 3
  11. 11.If 3x + 5 = 50, what is x? (a) 45 (b) 16 (c) 15 (d) 14
  12. 12.If 7x + 14 = 4x + 26, what is x? (a) 3 (b) 4 (c) 6 (d) 5
  13. 13.If 3x + 20 = 29, what is x? (a) 3 (b) 2 (c) 9 (d) 4
  14. 14.If x/6 + 12 = 22, what is x? (a) 204 (b) 10 (c) 120 (d) 60
  15. 15.If 6x + 5 = 95, what is x? (a) 90 (b) 15 (c) 14 (d) 16
  16. 16.If 3x − 8 = 31, what is x? (a) 39 (b) 12 (c) 14 (d) 13
  17. 17.If 9x + 11 = 5x + 27, what is x? (a) 4 (b) 3 (c) 6 (d) 5
  18. 18.If 7x − 4 = 24, what is x? (a) 5 (b) 4 (c) 3 (d) 28
  19. 19.If 9x + 8 = 53, what is x? (a) 6 (b) 45 (c) 4 (d) 5
  20. 20.If 4x − 2 = 14, what is x? (a) 4 (b) 3 (c) 5 (d) 16
  21. 21.If 4x + 30 = 70, what is x? (a) 40 (b) 25 (c) 10 (d) 11
  22. 22.If 5x + 5 = x + 45, what is x? (a) 12 (b) 10 (c) 11 (d) 9
  23. 23.If 6x + 6 = 90, what is x? (a) 84 (b) 16 (c) 15 (d) 14
  24. 24.If 7x + 4 = 39, what is x? (a) 4 (b) 6 (c) 35 (d) 5
  25. 25.If 9x − 15 = 102, what is x? (a) 14 (b) 13 (c) 12 (d) 117
  26. 26.If 3x + 13 = 2x + 22, what is x? (a) 9 (b) 35 (c) 11 (d) 10
  27. 27.If 5x − 23 = 2, what is x? (a) 25 (b) 5 (c) 4 (d) 6
  28. 28.If 3x + 28 = 46, what is x? (a) 5 (b) 7 (c) 6 (d) 18
  29. 29.If 3x + 20 = 2x + 24, what is x? (a) 5 (b) 44 (c) 4 (d) 6
  30. 30.If x/3 + 13 = 23, what is x? (a) 56 (b) 108 (c) 10 (d) 30
  31. 31.If 9x + 8 = 8x + 11, what is x? (a) 19 (b) 5 (c) 4 (d) 3
  32. 32.If 5x − 1 = 44, what is x? (a) 45 (b) 8 (c) 10 (d) 9
  33. 33.If 8x + 25 = 41, what is x? (a) 1 (b) 16 (c) 3 (d) 2
  34. 34.If 7x + 7 = 98, what is x? (a) 15 (b) 14 (c) 13 (d) 91
  35. 35.If 5x + 6 = 66, what is x? (a) 12 (b) 60 (c) 11 (d) 13
  36. 36.If 4x + 14 = 22, what is x? (a) 9 (b) 3 (c) 8 (d) 2
  37. 37.If 5x − 1 = 14, what is x? (a) 2 (b) 15 (c) 4 (d) 3
  38. 38.If x/3 + 6 = 10, what is x? (a) 48 (b) 12 (c) 4 (d) 24
  39. 39.If 3x + 14 = 32, what is x? (a) 6 (b) 5 (c) 18 (d) 7
  40. 40.If 7x + 15 = 57, what is x? (a) 42 (b) 5 (c) 6 (d) 7

Answer key

  1. 11
  2. 4
  3. 2
  4. 6
  5. 55
  6. 2
  7. 66
  8. 2
  9. 8
  10. 2
  11. 15
  12. 4
  13. 3
  14. 60
  15. 15
  16. 13
  17. 4
  18. 4
  19. 5
  20. 4
  21. 10
  22. 10
  23. 14
  24. 5
  25. 13
  26. 9
  27. 5
  28. 6
  29. 4
  30. 30
  31. 3
  32. 9
  33. 2
  34. 13
  35. 12
  36. 2
  37. 3
  38. 12
  39. 6
  40. 6

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