← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 8 · 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 8x − 18 = 14, what is x? (a) 4 (b) 3 (c) 32 (d) 5
  2. 2.If 9x + 12 = 3x + 18, what is x? (a) 1 (b) 2 (c) 5 (d) 3
  3. 3.If 4x + 8 = 40, what is x? (a) 32 (b) 12 (c) 8 (d) 9
  4. 4.If 7x + 18 = 2x + 53, what is x? (a) 6 (b) 9 (c) 8 (d) 7
  5. 5.If 7x − 31 = 60, what is x? (a) 14 (b) 13 (c) 91 (d) 12
  6. 6.If 9x + 2 = 8x + 7, what is x? (a) 9 (b) 6 (c) 5 (d) 7
  7. 7.If x/2 + 14 = 18, what is x? (a) 8 (b) 4 (c) 64 (d) 22
  8. 8.If 9x + 1 = 28, what is x? (a) 4 (b) 2 (c) 3 (d) 27
  9. 9.If 6x + 5 = 35, what is x? (a) 6 (b) 30 (c) 5 (d) 4
  10. 10.If 9x + 29 = 92, what is x? (a) 7 (b) 8 (c) 63 (d) 6
  11. 11.If 7x − 90 = 15, what is x? (a) 105 (b) 16 (c) 15 (d) 14
  12. 12.If 8x + 16 = 128, what is x? (a) 14 (b) 112 (c) 18 (d) 15
  13. 13.If 5x + 11 = 71, what is x? (a) 60 (b) 11 (c) 12 (d) 13
  14. 14.If 5x + 4 = 2x + 13, what is x? (a) 3 (b) 4 (c) 5 (d) 2
  15. 15.If x/3 + 3 = 5, what is x? (a) 24 (b) 6 (c) 12 (d) 2
  16. 16.If 8x + 6 = 3x + 16, what is x? (a) 2 (b) 3 (c) 1 (d) 4
  17. 17.If 7x + 3 = 31, what is x? (a) 5 (b) 28 (c) 4 (d) 3
  18. 18.If 9x + 15 = 4x + 30, what is x? (a) 4 (b) 9 (c) 5 (d) 3
  19. 19.If x/2 + 5 = 10, what is x? (a) 15 (b) 10 (c) 30 (d) 5
  20. 20.If 7x + 8 = 3x + 56, what is x? (a) 12 (b) 14 (c) 13 (d) 16
  21. 21.If 5x + 9 = 74, what is x? (a) 12 (b) 14 (c) 13 (d) 65
  22. 22.If x/4 + 7 = 9, what is x? (a) 2 (b) 64 (c) 29 (d) 8
  23. 23.If x/2 + 4 = 9, what is x? (a) 26 (b) 14 (c) 10 (d) 5
  24. 24.If 5x + 17 = 82, what is x? (a) 14 (b) 13 (c) 12 (d) 65
  25. 25.If 5x + 8 = 28, what is x? (a) 3 (b) 5 (c) 4 (d) 20
  26. 26.If x/5 + 2 = 14, what is x? (a) 12 (b) 80 (c) 68 (d) 60
  27. 27.If 5x + 1 = 2x + 37, what is x? (a) 11 (b) 14 (c) 12 (d) 13
  28. 28.If 6x + 17 = 47, what is x? (a) 30 (b) 4 (c) 6 (d) 5
  29. 29.If 3x + 17 = 2x + 25, what is x? (a) 10 (b) 9 (c) 42 (d) 8
  30. 30.If 8x + 2 = 106, what is x? (a) 12 (b) 13 (c) 14 (d) 104
  31. 31.If 9x + 18 = 4x + 73, what is x? (a) 10 (b) 11 (c) 13 (d) 12
  32. 32.If x/6 + 1 = 13, what is x? (a) 12 (b) 72 (c) 84 (d) 77
  33. 33.If 4x + 21 = 37, what is x? (a) 4 (b) 3 (c) 16 (d) 5
  34. 34.If 4x + 12 = 2x + 30, what is x? (a) 10 (b) 3 (c) 9 (d) 21
  35. 35.If 8x + 13 = 6x + 19, what is x? (a) 3 (b) 4 (c) 5 (d) 16
  36. 36.If 9x + 10 = 55, what is x? (a) 5 (b) 4 (c) 45 (d) 6
  37. 37.If 8x + 9 = 57, what is x? (a) 7 (b) 6 (c) 5 (d) 48
  38. 38.If x/6 + 14 = 26, what is x? (a) 72 (b) 12 (c) 240 (d) 142
  39. 39.If 3x − 5 = 4, what is x? (a) 3 (b) 2 (c) 4 (d) 9
  40. 40.If x/2 + 3 = 8, what is x? (a) 13 (b) 22 (c) 10 (d) 5

Answer key

  1. 4
  2. 1
  3. 8
  4. 7
  5. 13
  6. 5
  7. 8
  8. 3
  9. 5
  10. 7
  11. 15
  12. 14
  13. 12
  14. 3
  15. 6
  16. 2
  17. 4
  18. 3
  19. 10
  20. 12
  21. 13
  22. 8
  23. 10
  24. 13
  25. 4
  26. 60
  27. 12
  28. 5
  29. 8
  30. 13
  31. 11
  32. 72
  33. 4
  34. 9
  35. 3
  36. 5
  37. 6
  38. 72
  39. 3
  40. 10

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