← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 41 · 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 7x + 22 = 106, what is x? (a) 84 (b) 13 (c) 12 (d) 11
  2. 2.If 6x + 4 = 2x + 48, what is x? (a) 12 (b) 11 (c) 13 (d) 10
  3. 3.If x/3 + 14 = 24, what is x? (a) 30 (b) 10 (c) 58 (d) 114
  4. 4.If x/2 + 10 = 14, what is x? (a) 4 (b) 8 (c) 48 (d) 18
  5. 5.If 5x + 29 = 39, what is x? (a) 10 (b) 1 (c) 3 (d) 2
  6. 6.If 8x + 10 = 74, what is x? (a) 7 (b) 64 (c) 8 (d) 9
  7. 7.If x/2 + 7 = 10, what is x? (a) 3 (b) 34 (c) 6 (d) 13
  8. 8.If x/3 + 1 = 13, what is x? (a) 12 (b) 42 (c) 38 (d) 36
  9. 9.If 3x − 7 = 23, what is x? (a) 11 (b) 10 (c) 9 (d) 30
  10. 10.If 9x + 5 = 2x + 19, what is x? (a) 4 (b) 3 (c) 2 (d) 1
  11. 11.If 3x − 10 = 17, what is x? (a) 10 (b) 9 (c) 27 (d) 8
  12. 12.If 8x − 18 = 22, what is x? (a) 5 (b) 6 (c) 4 (d) 40
  13. 13.If 5x + 13 = x + 49, what is x? (a) 10 (b) 9 (c) 11 (d) 6
  14. 14.If 6x − 18 = 30, what is x? (a) 9 (b) 2 (c) 8 (d) 48
  15. 15.If x/6 + 3 = 15, what is x? (a) 72 (b) 87 (c) 108 (d) 12
  16. 16.If x/5 + 15 = 17, what is x? (a) 10 (b) 2 (c) 70 (d) 160
  17. 17.If 5x + 20 = 45, what is x? (a) 6 (b) 5 (c) 13 (d) 25
  18. 18.If 2x + 23 = 33, what is x? (a) 10 (b) 28 (c) 6 (d) 5
  19. 19.If 4x + 4 = 2x + 22, what is x? (a) 3 (b) 9 (c) 10 (d) 13
  20. 20.If 4x + 3 = x + 6, what is x? (a) 2 (b) 3 (c) 4 (d) 1
  21. 21.If 2x + 11 = 25, what is x? (a) 8 (b) 18 (c) 7 (d) 14
  22. 22.If 7x + 13 = 5x + 15, what is x? (a) 2 (b) 1 (c) 3 (d) 14
  23. 23.If x/6 + 9 = 17, what is x? (a) 8 (b) 93 (c) 48 (d) 156
  24. 24.If x/3 + 1 = 3, what is x? (a) 2 (b) 12 (c) 6 (d) 8
  25. 25.If 9x + 1 = 7x + 3, what is x? (a) 4 (b) 3 (c) 1 (d) 2
  26. 26.If 3x + 3 = x + 7, what is x? (a) 1 (b) 2 (c) 5 (d) 3
  27. 27.If 5x + 1 = 4x + 7, what is x? (a) 5 (b) 8 (c) 6 (d) 7
  28. 28.If 2x + 15 = 29, what is x? (a) 7 (b) 22 (c) 14 (d) 8
  29. 29.If 8x − 71 = 1, what is x? (a) 10 (b) 72 (c) 8 (d) 9
  30. 30.If x/2 + 3 = 5, what is x? (a) 16 (b) 2 (c) 7 (d) 4
  31. 31.If 9x − 14 = 85, what is x? (a) 10 (b) 99 (c) 12 (d) 11
  32. 32.If 7x + 18 = 102, what is x? (a) 11 (b) 13 (c) 12 (d) 84
  33. 33.If 6x − 61 = 5, what is x? (a) 10 (b) 11 (c) 66 (d) 12
  34. 34.If 9x + 20 = x + 52, what is x? (a) 6 (b) 4 (c) 9 (d) 5
  35. 35.If 8x + 10 = 6x + 14, what is x? (a) 12 (b) 2 (c) 3 (d) 4
  36. 36.If 2x + 20 = 24, what is x? (a) 3 (b) 22 (c) 4 (d) 2
  37. 37.If 7x + 16 = x + 82, what is x? (a) 10 (b) 13 (c) 12 (d) 11
  38. 38.If 4x + 1 = x + 37, what is x? (a) 13 (b) 14 (c) 11 (d) 12
  39. 39.If 4x + 1 = 3x + 2, what is x? (a) 1 (b) 2 (c) 3 (d) 4
  40. 40.If 6x + 11 = 53, what is x? (a) 42 (b) 8 (c) 7 (d) 6

Answer key

  1. 12
  2. 11
  3. 30
  4. 8
  5. 2
  6. 8
  7. 6
  8. 36
  9. 10
  10. 2
  11. 9
  12. 5
  13. 9
  14. 8
  15. 72
  16. 10
  17. 5
  18. 5
  19. 9
  20. 1
  21. 7
  22. 1
  23. 48
  24. 6
  25. 1
  26. 2
  27. 6
  28. 7
  29. 9
  30. 4
  31. 11
  32. 12
  33. 11
  34. 4
  35. 2
  36. 2
  37. 11
  38. 12
  39. 1
  40. 7

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