← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 471 · 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 − 19 = 17, what is x? (a) 36 (b) 4 (c) 3 (d) 5
  2. 2.If 8x − 6 = 42, what is x? (a) 5 (b) 48 (c) 6 (d) 7
  3. 3.If 7x − 26 = 16, what is x? (a) 42 (b) 6 (c) 7 (d) 5
  4. 4.If 8x + 5 = 125, what is x? (a) 15 (b) 14 (c) 16 (d) 120
  5. 5.If 4x + 7 = 2x + 25, what is x? (a) 16 (b) 10 (c) 3 (d) 9
  6. 6.If 4x − 20 = 36, what is x? (a) 4 (b) 15 (c) 56 (d) 14
  7. 7.If x/6 + 6 = 11, what is x? (a) 5 (b) 102 (c) 60 (d) 30
  8. 8.If 4x + 25 = 85, what is x? (a) 15 (b) 14 (c) 16 (d) 60
  9. 9.If 7x + 15 = 120, what is x? (a) 15 (b) 105 (c) 16 (d) 14
  10. 10.If 5x − 3 = 7, what is x? (a) 1 (b) 2 (c) 10 (d) 3
  11. 11.If x/5 + 3 = 15, what is x? (a) 90 (b) 72 (c) 60 (d) 12
  12. 12.If x/6 + 3 = 14, what is x? (a) 11 (b) 102 (c) 81 (d) 66
  13. 13.If x/3 + 11 = 17, what is x? (a) 40 (b) 6 (c) 84 (d) 18
  14. 14.If 5x − 11 = 4, what is x? (a) 15 (b) 2 (c) 3 (d) 4
  15. 15.If 4x − 19 = 9, what is x? (a) 7 (b) 8 (c) 28 (d) 6
  16. 16.If 6x − 7 = 5, what is x? (a) 3 (b) 2 (c) 1 (d) 12
  17. 17.If 4x + 15 = 31, what is x? (a) 16 (b) 5 (c) 3 (d) 4
  18. 18.If 8x + 11 = 107, what is x? (a) 11 (b) 12 (c) 96 (d) 13
  19. 19.If x/3 + 11 = 19, what is x? (a) 46 (b) 24 (c) 8 (d) 90
  20. 20.If x/2 + 7 = 16, what is x? (a) 25 (b) 46 (c) 18 (d) 9
  21. 21.If x/4 + 13 = 17, what is x? (a) 120 (b) 55 (c) 16 (d) 4
  22. 22.If 7x − 62 = 36, what is x? (a) 98 (b) 15 (c) 13 (d) 14
  23. 23.If 9x + 11 = 146, what is x? (a) 14 (b) 135 (c) 15 (d) 16
  24. 24.If 7x − 61 = 9, what is x? (a) 9 (b) 11 (c) 10 (d) 70
  25. 25.If 9x + 9 = 8x + 15, what is x? (a) 7 (b) 24 (c) 8 (d) 6
  26. 26.If 5x − 53 = 7, what is x? (a) 60 (b) 11 (c) 13 (d) 12
  27. 27.If 8x + 5 = 85, what is x? (a) 80 (b) 11 (c) 9 (d) 10
  28. 28.If 7x + 3 = 5x + 27, what is x? (a) 2 (b) 13 (c) 12 (d) 15
  29. 29.If x/3 + 3 = 14, what is x? (a) 33 (b) 39 (c) 11 (d) 51
  30. 30.If 7x − 25 = 10, what is x? (a) 4 (b) 35 (c) 5 (d) 6
  31. 31.If 5x + 5 = x + 21, what is x? (a) 3 (b) 5 (c) 6 (d) 4
  32. 32.If x/5 + 15 = 18, what is x? (a) 3 (b) 75 (c) 15 (d) 165
  33. 33.If x/3 + 6 = 13, what is x? (a) 33 (b) 7 (c) 57 (d) 21
  34. 34.If 4x + 12 = 3x + 15, what is x? (a) 4 (b) 3 (c) 27 (d) 5
  35. 35.If x/4 + 2 = 6, what is x? (a) 22 (b) 4 (c) 32 (d) 16
  36. 36.If 3x + 17 = 44, what is x? (a) 27 (b) 8 (c) 9 (d) 10
  37. 37.If 5x + 7 = 52, what is x? (a) 9 (b) 10 (c) 45 (d) 8
  38. 38.If 5x + 5 = 70, what is x? (a) 14 (b) 15 (c) 13 (d) 65
  39. 39.If x/3 + 3 = 13, what is x? (a) 30 (b) 36 (c) 48 (d) 10
  40. 40.If 9x + 2 = 8x + 13, what is x? (a) 12 (b) 15 (c) 11 (d) 13

Answer key

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

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