← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 648 · 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 + 14 = 63, what is x? (a) 49 (b) 8 (c) 11 (d) 7
  2. 2.If x/2 + 6 = 12, what is x? (a) 36 (b) 12 (c) 18 (d) 6
  3. 3.If 3x + 7 = x + 9, what is x? (a) 3 (b) 2 (c) 1 (d) 8
  4. 4.If 7x + 29 = 127, what is x? (a) 13 (b) 15 (c) 98 (d) 14
  5. 5.If x/5 + 15 = 21, what is x? (a) 30 (b) 6 (c) 90 (d) 180
  6. 6.If 6x + 1 = 37, what is x? (a) 36 (b) 6 (c) 7 (d) 5
  7. 7.If 6x + 14 = 5x + 26, what is x? (a) 40 (b) 12 (c) 14 (d) 13
  8. 8.If 2x + 22 = 34, what is x? (a) 6 (b) 12 (c) 7 (d) 28
  9. 9.If x/2 + 13 = 20, what is x? (a) 7 (b) 14 (c) 66 (d) 27
  10. 10.If x/3 + 3 = 11, what is x? (a) 24 (b) 30 (c) 42 (d) 8
  11. 11.If 4x + 3 = 19, what is x? (a) 16 (b) 5 (c) 3 (d) 4
  12. 12.If 5x + 6 = 3x + 18, what is x? (a) 8 (b) 12 (c) 7 (d) 6
  13. 13.If x/2 + 3 = 15, what is x? (a) 24 (b) 27 (c) 36 (d) 12
  14. 14.If 5x − 3 = 27, what is x? (a) 5 (b) 7 (c) 30 (d) 6
  15. 15.If 3x + 19 = x + 27, what is x? (a) 2 (b) 5 (c) 23 (d) 4
  16. 16.If 4x − 1 = 7, what is x? (a) 3 (b) 1 (c) 2 (d) 8
  17. 17.If 8x − 49 = 23, what is x? (a) 8 (b) 9 (c) 10 (d) 72
  18. 18.If 9x + 5 = 8x + 14, what is x? (a) 11 (b) 19 (c) 10 (d) 9
  19. 19.If 3x + 20 = x + 38, what is x? (a) 10 (b) 29 (c) 9 (d) 11
  20. 20.If x/6 + 3 = 13, what is x? (a) 96 (b) 60 (c) 10 (d) 75
  21. 21.If 3x + 26 = 44, what is x? (a) 6 (b) 5 (c) 7 (d) 18
  22. 22.If 8x + 29 = 125, what is x? (a) 13 (b) 11 (c) 96 (d) 12
  23. 23.If x/4 + 1 = 11, what is x? (a) 10 (b) 43 (c) 48 (d) 40
  24. 24.If x/5 + 8 = 12, what is x? (a) 100 (b) 4 (c) 20 (d) 52
  25. 25.If 9x + 1 = 2x + 64, what is x? (a) 11 (b) 8 (c) 9 (d) 10
  26. 26.If 4x − 13 = 3, what is x? (a) 16 (b) 3 (c) 5 (d) 4
  27. 27.If 6x + 15 = 3x + 24, what is x? (a) 1 (b) 13 (c) 4 (d) 3
  28. 28.If x/3 + 4 = 15, what is x? (a) 41 (b) 33 (c) 11 (d) 57
  29. 29.If 7x + 2 = 51, what is x? (a) 49 (b) 8 (c) 6 (d) 7
  30. 30.If 5x + 7 = 82, what is x? (a) 15 (b) 14 (c) 75 (d) 16
  31. 31.If 3x + 7 = 40, what is x? (a) 10 (b) 11 (c) 33 (d) 12
  32. 32.If x/5 + 4 = 7, what is x? (a) 3 (b) 55 (c) 31 (d) 15
  33. 33.If 3x + 5 = 26, what is x? (a) 21 (b) 6 (c) 7 (d) 8
  34. 34.If x/3 + 4 = 14, what is x? (a) 10 (b) 38 (c) 54 (d) 30
  35. 35.If 3x + 1 = 2x + 4, what is x? (a) 5 (b) 4 (c) 3 (d) 2
  36. 36.If 6x + 18 = x + 73, what is x? (a) 13 (b) 10 (c) 12 (d) 11
  37. 37.If 7x + 15 = 57, what is x? (a) 5 (b) 6 (c) 42 (d) 7
  38. 38.If x/6 + 15 = 24, what is x? (a) 234 (b) 54 (c) 9 (d) 129
  39. 39.If 7x + 18 = 67, what is x? (a) 6 (b) 49 (c) 7 (d) 8
  40. 40.If 8x + 15 = 119, what is x? (a) 13 (b) 12 (c) 104 (d) 14

Answer key

  1. 7
  2. 12
  3. 1
  4. 14
  5. 30
  6. 6
  7. 12
  8. 6
  9. 14
  10. 24
  11. 4
  12. 6
  13. 24
  14. 6
  15. 4
  16. 2
  17. 9
  18. 9
  19. 9
  20. 60
  21. 6
  22. 12
  23. 40
  24. 20
  25. 9
  26. 4
  27. 3
  28. 33
  29. 7
  30. 15
  31. 11
  32. 15
  33. 7
  34. 30
  35. 3
  36. 11
  37. 6
  38. 54
  39. 7
  40. 13

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