← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 70 · 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 + 5 = 15, what is x? (a) 10 (b) 120 (c) 60 (d) 85
  2. 2.If 4x + 26 = 78, what is x? (a) 26 (b) 52 (c) 13 (d) 14
  3. 3.If x/2 + 8 = 16, what is x? (a) 8 (b) 48 (c) 24 (d) 16
  4. 4.If 5x − 16 = 4, what is x? (a) 4 (b) 3 (c) 5 (d) 20
  5. 5.If 8x + 25 = 81, what is x? (a) 8 (b) 56 (c) 6 (d) 7
  6. 6.If 4x + 14 = 46, what is x? (a) 9 (b) 8 (c) 15 (d) 32
  7. 7.If 3x + 6 = 21, what is x? (a) 15 (b) 9 (c) 6 (d) 5
  8. 8.If 4x − 6 = 54, what is x? (a) 15 (b) 12 (c) 16 (d) 60
  9. 9.If 7x + 2 = 6x + 7, what is x? (a) 7 (b) 9 (c) 6 (d) 5
  10. 10.If x/3 + 5 = 8, what is x? (a) 3 (b) 19 (c) 39 (d) 9
  11. 11.If 9x + 18 = 4x + 23, what is x? (a) 1 (b) 4 (c) 2 (d) 3
  12. 12.If 2x + 3 = 23, what is x? (a) 13 (b) 20 (c) 10 (d) 11
  13. 13.If 5x + 11 = 3x + 23, what is x? (a) 17 (b) 8 (c) 7 (d) 6
  14. 14.If 2x + 27 = 55, what is x? (a) 41 (b) 15 (c) 28 (d) 14
  15. 15.If x/3 + 3 = 9, what is x? (a) 36 (b) 6 (c) 24 (d) 18
  16. 16.If 4x + 14 = 50, what is x? (a) 10 (b) 9 (c) 36 (d) 16
  17. 17.If 4x + 29 = 73, what is x? (a) 11 (b) 12 (c) 44 (d) 10
  18. 18.If x/6 + 9 = 19, what is x? (a) 10 (b) 168 (c) 60 (d) 105
  19. 19.If 8x + 24 = 64, what is x? (a) 6 (b) 40 (c) 5 (d) 11
  20. 20.If x/2 + 11 = 23, what is x? (a) 12 (b) 68 (c) 24 (d) 35
  21. 21.If x/5 + 7 = 19, what is x? (a) 130 (b) 12 (c) 88 (d) 60
  22. 22.If 5x + 27 = 82, what is x? (a) 10 (b) 12 (c) 11 (d) 55
  23. 23.If x/5 + 4 = 13, what is x? (a) 9 (b) 85 (c) 45 (d) 61
  24. 24.If 2x − 7 = 3, what is x? (a) 10 (b) 5 (c) 4 (d) 6
  25. 25.If 6x + 7 = x + 57, what is x? (a) 12 (b) 11 (c) 9 (d) 10
  26. 26.If x/2 + 8 = 13, what is x? (a) 18 (b) 42 (c) 5 (d) 10
  27. 27.If 8x + 10 = 42, what is x? (a) 4 (b) 5 (c) 3 (d) 32
  28. 28.If 9x − 89 = 28, what is x? (a) 117 (b) 14 (c) 13 (d) 12
  29. 29.If x/2 + 3 = 7, what is x? (a) 11 (b) 8 (c) 4 (d) 20
  30. 30.If 8x + 1 = 25, what is x? (a) 4 (b) 3 (c) 2 (d) 24
  31. 31.If x/2 + 13 = 20, what is x? (a) 27 (b) 14 (c) 66 (d) 7
  32. 32.If 6x − 13 = 41, what is x? (a) 9 (b) 8 (c) 54 (d) 10
  33. 33.If 9x + 17 = 44, what is x? (a) 4 (b) 3 (c) 2 (d) 27
  34. 34.If 7x − 23 = 5, what is x? (a) 5 (b) 3 (c) 28 (d) 4
  35. 35.If x/4 + 8 = 13, what is x? (a) 44 (b) 5 (c) 20 (d) 84
  36. 36.If 4x + 23 = 55, what is x? (a) 7 (b) 8 (c) 32 (d) 9
  37. 37.If x/2 + 5 = 10, what is x? (a) 5 (b) 30 (c) 15 (d) 10
  38. 38.If x/5 + 1 = 9, what is x? (a) 40 (b) 50 (c) 44 (d) 8
  39. 39.If 9x + 6 = x + 38, what is x? (a) 5 (b) 6 (c) 3 (d) 4
  40. 40.If 7x − 17 = 4, what is x? (a) 2 (b) 21 (c) 3 (d) 4

Answer key

  1. 60
  2. 13
  3. 16
  4. 4
  5. 7
  6. 8
  7. 5
  8. 15
  9. 5
  10. 9
  11. 1
  12. 10
  13. 6
  14. 14
  15. 18
  16. 9
  17. 11
  18. 60
  19. 5
  20. 24
  21. 60
  22. 11
  23. 45
  24. 5
  25. 10
  26. 10
  27. 4
  28. 13
  29. 8
  30. 3
  31. 14
  32. 9
  33. 3
  34. 4
  35. 20
  36. 8
  37. 10
  38. 40
  39. 4
  40. 3

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