← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 843 · 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/5 + 15 = 20, what is x? (a) 175 (b) 5 (c) 85 (d) 25
  2. 2.If 7x + 28 = 119, what is x? (a) 14 (b) 91 (c) 21 (d) 13
  3. 3.If 4x + 10 = 34, what is x? (a) 6 (b) 11 (c) 24 (d) 7
  4. 4.If 2x − 13 = 9, what is x? (a) 22 (b) 12 (c) 10 (d) 11
  5. 5.If 8x + 5 = 85, what is x? (a) 11 (b) 10 (c) 9 (d) 80
  6. 6.If 5x + 13 = 68, what is x? (a) 12 (b) 10 (c) 55 (d) 11
  7. 7.If 6x + 28 = 94, what is x? (a) 12 (b) 11 (c) 66 (d) 10
  8. 8.If x/6 + 3 = 7, what is x? (a) 4 (b) 24 (c) 60 (d) 39
  9. 9.If 4x + 9 = 3x + 20, what is x? (a) 12 (b) 29 (c) 11 (d) 13
  10. 10.If 8x − 2 = 14, what is x? (a) 1 (b) 3 (c) 2 (d) 16
  11. 11.If 2x − 8 = 4, what is x? (a) 6 (b) 7 (c) 5 (d) 12
  12. 12.If 4x − 47 = 1, what is x? (a) 48 (b) 13 (c) 11 (d) 12
  13. 13.If 8x + 19 = x + 89, what is x? (a) 9 (b) 10 (c) 11 (d) 12
  14. 14.If 3x + 7 = x + 31, what is x? (a) 6 (b) 12 (c) 19 (d) 13
  15. 15.If 9x + 1 = 109, what is x? (a) 11 (b) 13 (c) 108 (d) 12
  16. 16.If 2x − 3 = 3, what is x? (a) 2 (b) 4 (c) 3 (d) 6
  17. 17.If 3x + 7 = 2x + 17, what is x? (a) 2 (b) 24 (c) 10 (d) 11
  18. 18.If 9x + 23 = 131, what is x? (a) 11 (b) 12 (c) 108 (d) 13
  19. 19.If 3x − 36 = 9, what is x? (a) 16 (b) 14 (c) 45 (d) 15
  20. 20.If 7x − 2 = 12, what is x? (a) 3 (b) 14 (c) 1 (d) 2
  21. 21.If 3x + 9 = x + 11, what is x? (a) 2 (b) 10 (c) 1 (d) 3
  22. 22.If x/5 + 6 = 9, what is x? (a) 3 (b) 75 (c) 39 (d) 15
  23. 23.If x/2 + 14 = 18, what is x? (a) 4 (b) 8 (c) 64 (d) 22
  24. 24.If 2x + 18 = 32, what is x? (a) 8 (b) 14 (c) 7 (d) 25
  25. 25.If x/3 + 15 = 25, what is x? (a) 30 (b) 60 (c) 10 (d) 120
  26. 26.If 6x − 49 = 35, what is x? (a) 84 (b) 14 (c) 15 (d) 13
  27. 27.If 4x + 18 = 3x + 30, what is x? (a) 12 (b) 13 (c) 14 (d) 48
  28. 28.If 8x + 24 = 64, what is x? (a) 5 (b) 6 (c) 11 (d) 40
  29. 29.If 3x − 12 = 6, what is x? (a) 7 (b) 5 (c) 18 (d) 6
  30. 30.If 2x − 3 = 27, what is x? (a) 12 (b) 16 (c) 15 (d) 30
  31. 31.If 2x − 7 = 5, what is x? (a) 12 (b) 5 (c) 6 (d) 7
  32. 32.If 7x + 4 = 5x + 12, what is x? (a) 6 (b) 8 (c) 4 (d) 5
  33. 33.If x/2 + 10 = 17, what is x? (a) 7 (b) 24 (c) 54 (d) 14
  34. 34.If x/6 + 5 = 7, what is x? (a) 2 (b) 12 (c) 37 (d) 72
  35. 35.If x/2 + 1 = 13, what is x? (a) 28 (b) 25 (c) 12 (d) 24
  36. 36.If 8x + 6 = 7x + 13, what is x? (a) 19 (b) 9 (c) 7 (d) 8
  37. 37.If 9x + 4 = 7x + 18, what is x? (a) 11 (b) 8 (c) 7 (d) 9
  38. 38.If 3x + 30 = 69, what is x? (a) 39 (b) 13 (c) 33 (d) 14
  39. 39.If x/5 + 4 = 7, what is x? (a) 3 (b) 31 (c) 55 (d) 15
  40. 40.If 9x − 19 = 44, what is x? (a) 8 (b) 7 (c) 63 (d) 6

Answer key

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

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