← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 213 · 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/6 + 6 = 17, what is x? (a) 96 (b) 11 (c) 138 (d) 66
  2. 2.If 3x − 7 = 5, what is x? (a) 5 (b) 12 (c) 4 (d) 3
  3. 3.If x/2 + 7 = 15, what is x? (a) 8 (b) 44 (c) 16 (d) 23
  4. 4.If 5x − 1 = 54, what is x? (a) 12 (b) 10 (c) 11 (d) 55
  5. 5.If x/6 + 13 = 25, what is x? (a) 72 (b) 228 (c) 137 (d) 12
  6. 6.If 5x − 51 = 14, what is x? (a) 14 (b) 12 (c) 65 (d) 13
  7. 7.If 9x + 24 = 87, what is x? (a) 8 (b) 63 (c) 7 (d) 6
  8. 8.If 7x − 22 = 6, what is x? (a) 3 (b) 28 (c) 4 (d) 5
  9. 9.If 9x + 30 = 138, what is x? (a) 13 (b) 12 (c) 108 (d) 11
  10. 10.If 9x − 31 = 14, what is x? (a) 4 (b) 5 (c) 45 (d) 6
  11. 11.If 8x + 25 = 81, what is x? (a) 56 (b) 6 (c) 8 (d) 7
  12. 12.If 6x + 14 = 3x + 23, what is x? (a) 5 (b) 4 (c) 1 (d) 3
  13. 13.If x/3 + 1 = 8, what is x? (a) 7 (b) 23 (c) 21 (d) 27
  14. 14.If 9x + 8 = 4x + 43, what is x? (a) 7 (b) 6 (c) 9 (d) 8
  15. 15.If x/6 + 11 = 13, what is x? (a) 144 (b) 2 (c) 67 (d) 12
  16. 16.If x/6 + 11 = 15, what is x? (a) 24 (b) 156 (c) 79 (d) 4
  17. 17.If x/4 + 2 = 13, what is x? (a) 44 (b) 50 (c) 11 (d) 60
  18. 18.If 7x + 1 = 78, what is x? (a) 10 (b) 77 (c) 12 (d) 11
  19. 19.If x/4 + 6 = 15, what is x? (a) 54 (b) 9 (c) 84 (d) 36
  20. 20.If 4x + 3 = 31, what is x? (a) 28 (b) 7 (c) 8 (d) 6
  21. 21.If 8x + 10 = 4x + 46, what is x? (a) 9 (b) 3 (c) 14 (d) 10
  22. 22.If 4x + 12 = 36, what is x? (a) 7 (b) 24 (c) 12 (d) 6
  23. 23.If 7x + 7 = 3x + 15, what is x? (a) 1 (b) 4 (c) 2 (d) 3
  24. 24.If 3x + 5 = 2x + 12, what is x? (a) 7 (b) 17 (c) 9 (d) 8
  25. 25.If 7x + 9 = 58, what is x? (a) 6 (b) 49 (c) 7 (d) 8
  26. 26.If 4x + 4 = x + 31, what is x? (a) 9 (b) 8 (c) 11 (d) 10
  27. 27.If 4x − 44 = 12, what is x? (a) 14 (b) 56 (c) 13 (d) 15
  28. 28.If 7x + 24 = 87, what is x? (a) 8 (b) 9 (c) 10 (d) 63
  29. 29.If 6x − 5 = 13, what is x? (a) 4 (b) 18 (c) 3 (d) 2
  30. 30.If 3x + 15 = 33, what is x? (a) 7 (b) 16 (c) 18 (d) 6
  31. 31.If x/3 + 11 = 14, what is x? (a) 75 (b) 9 (c) 31 (d) 3
  32. 32.If 5x + 11 = 76, what is x? (a) 12 (b) 13 (c) 65 (d) 14
  33. 33.If 4x + 15 = 31, what is x? (a) 3 (b) 5 (c) 16 (d) 4
  34. 34.If 9x + 1 = 5x + 29, what is x? (a) 7 (b) 8 (c) 2 (d) 9
  35. 35.If x/3 + 2 = 13, what is x? (a) 45 (b) 11 (c) 33 (d) 37
  36. 36.If 7x + 6 = x + 48, what is x? (a) 9 (b) 8 (c) 6 (d) 7
  37. 37.If x/5 + 6 = 17, what is x? (a) 11 (b) 79 (c) 115 (d) 55
  38. 38.If 3x + 1 = 2x + 5, what is x? (a) 5 (b) 3 (c) 6 (d) 4
  39. 39.If 5x + 18 = 38, what is x? (a) 5 (b) 4 (c) 20 (d) 3
  40. 40.If 3x − 5 = 13, what is x? (a) 6 (b) 7 (c) 18 (d) 5

Answer key

  1. 66
  2. 4
  3. 16
  4. 11
  5. 72
  6. 13
  7. 7
  8. 4
  9. 12
  10. 5
  11. 7
  12. 3
  13. 21
  14. 7
  15. 12
  16. 24
  17. 44
  18. 11
  19. 36
  20. 7
  21. 9
  22. 6
  23. 2
  24. 7
  25. 7
  26. 9
  27. 14
  28. 9
  29. 3
  30. 6
  31. 9
  32. 13
  33. 4
  34. 7
  35. 33
  36. 7
  37. 55
  38. 4
  39. 4
  40. 6

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