← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 652 · 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 9x + 14 = 2x + 70, what is x? (a) 8 (b) 9 (c) 12 (d) 10
  2. 2.If x/2 + 14 = 19, what is x? (a) 66 (b) 5 (c) 10 (d) 24
  3. 3.If x/6 + 8 = 12, what is x? (a) 24 (b) 4 (c) 64 (d) 120
  4. 4.If 9x − 14 = 31, what is x? (a) 6 (b) 45 (c) 4 (d) 5
  5. 5.If x/5 + 3 = 10, what is x? (a) 35 (b) 65 (c) 7 (d) 47
  6. 6.If x/4 + 11 = 22, what is x? (a) 132 (b) 77 (c) 11 (d) 44
  7. 7.If 8x − 13 = 27, what is x? (a) 6 (b) 40 (c) 4 (d) 5
  8. 8.If 3x + 13 = 49, what is x? (a) 11 (b) 12 (c) 13 (d) 36
  9. 9.If 2x + 13 = 33, what is x? (a) 20 (b) 23 (c) 11 (d) 10
  10. 10.If 4x + 4 = 3x + 10, what is x? (a) 8 (b) 14 (c) 6 (d) 7
  11. 11.If 4x − 19 = 13, what is x? (a) 7 (b) 9 (c) 8 (d) 32
  12. 12.If 3x + 6 = 2x + 7, what is x? (a) 2 (b) 3 (c) 13 (d) 1
  13. 13.If 6x − 13 = 17, what is x? (a) 5 (b) 6 (c) 30 (d) 4
  14. 14.If x/3 + 1 = 4, what is x? (a) 11 (b) 15 (c) 9 (d) 3
  15. 15.If 3x − 14 = 31, what is x? (a) 15 (b) 14 (c) 45 (d) 16
  16. 16.If 7x + 1 = 43, what is x? (a) 6 (b) 42 (c) 5 (d) 7
  17. 17.If x/2 + 13 = 22, what is x? (a) 31 (b) 70 (c) 9 (d) 18
  18. 18.If 8x + 17 = 129, what is x? (a) 112 (b) 14 (c) 15 (d) 13
  19. 19.If 3x + 12 = x + 34, what is x? (a) 11 (b) 13 (c) 12 (d) 23
  20. 20.If 4x − 2 = 50, what is x? (a) 52 (b) 12 (c) 13 (d) 14
  21. 21.If 9x − 31 = 14, what is x? (a) 45 (b) 6 (c) 5 (d) 4
  22. 22.If 9x + 2 = x + 66, what is x? (a) 10 (b) 8 (c) 7 (d) 9
  23. 23.If 8x + 6 = 78, what is x? (a) 9 (b) 10 (c) 72 (d) 8
  24. 24.If 4x + 25 = 45, what is x? (a) 4 (b) 20 (c) 5 (d) 6
  25. 25.If x/6 + 13 = 18, what is x? (a) 95 (b) 186 (c) 30 (d) 5
  26. 26.If 7x + 12 = 2x + 52, what is x? (a) 10 (b) 8 (c) 9 (d) 7
  27. 27.If x/2 + 6 = 15, what is x? (a) 24 (b) 18 (c) 9 (d) 42
  28. 28.If x/2 + 13 = 18, what is x? (a) 23 (b) 5 (c) 62 (d) 10
  29. 29.If 6x + 6 = 90, what is x? (a) 16 (b) 14 (c) 84 (d) 15
  30. 30.If 8x + 27 = 51, what is x? (a) 24 (b) 3 (c) 2 (d) 4
  31. 31.If x/6 + 5 = 8, what is x? (a) 43 (b) 3 (c) 18 (d) 78
  32. 32.If 5x + 16 = 51, what is x? (a) 8 (b) 35 (c) 7 (d) 6
  33. 33.If 3x + 5 = 2x + 8, what is x? (a) 3 (b) 5 (c) 4 (d) 13
  34. 34.If 6x − 45 = 3, what is x? (a) 7 (b) 48 (c) 9 (d) 8
  35. 35.If 3x − 7 = 38, what is x? (a) 45 (b) 14 (c) 16 (d) 15
  36. 36.If 3x + 10 = 49, what is x? (a) 13 (b) 39 (c) 14 (d) 12
  37. 37.If 3x + 10 = x + 12, what is x? (a) 11 (b) 2 (c) 3 (d) 1
  38. 38.If 9x + 8 = x + 80, what is x? (a) 11 (b) 9 (c) 8 (d) 10
  39. 39.If 5x + 4 = 34, what is x? (a) 5 (b) 30 (c) 7 (d) 6
  40. 40.If 3x − 14 = 4, what is x? (a) 7 (b) 6 (c) 18 (d) 5

Answer key

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

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