← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 747 · 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 − 77 = 58, what is x? (a) 15 (b) 135 (c) 14 (d) 16
  2. 2.If 8x + 7 = 79, what is x? (a) 10 (b) 72 (c) 8 (d) 9
  3. 3.If 4x − 26 = 30, what is x? (a) 15 (b) 56 (c) 14 (d) 1
  4. 4.If x/2 + 14 = 25, what is x? (a) 22 (b) 78 (c) 11 (d) 36
  5. 5.If 3x + 13 = 19, what is x? (a) 6 (b) 1 (c) 3 (d) 2
  6. 6.If x/3 + 5 = 7, what is x? (a) 16 (b) 36 (c) 2 (d) 6
  7. 7.If x/5 + 8 = 11, what is x? (a) 47 (b) 95 (c) 3 (d) 15
  8. 8.If 7x + 5 = 4x + 17, what is x? (a) 5 (b) 4 (c) 3 (d) 6
  9. 9.If 5x + 16 = 26, what is x? (a) 3 (b) 10 (c) 2 (d) 1
  10. 10.If 5x − 34 = 1, what is x? (a) 7 (b) 8 (c) 6 (d) 35
  11. 11.If x/4 + 5 = 9, what is x? (a) 31 (b) 56 (c) 16 (d) 4
  12. 12.If 9x + 20 = 4x + 80, what is x? (a) 12 (b) 14 (c) 20 (d) 13
  13. 13.If 9x + 14 = 59, what is x? (a) 4 (b) 5 (c) 6 (d) 45
  14. 14.If x/6 + 12 = 15, what is x? (a) 3 (b) 78 (c) 162 (d) 18
  15. 15.If 9x + 12 = 102, what is x? (a) 10 (b) 9 (c) 90 (d) 11
  16. 16.If 4x + 14 = 54, what is x? (a) 17 (b) 10 (c) 40 (d) 11
  17. 17.If 6x + 18 = 2x + 26, what is x? (a) 2 (b) 11 (c) 1 (d) 3
  18. 18.If 7x − 27 = 64, what is x? (a) 91 (b) 12 (c) 13 (d) 14
  19. 19.If 5x + 13 = 38, what is x? (a) 4 (b) 25 (c) 5 (d) 6
  20. 20.If 3x + 10 = 25, what is x? (a) 6 (b) 15 (c) 4 (d) 5
  21. 21.If 3x − 36 = 6, what is x? (a) 13 (b) 14 (c) 42 (d) 15
  22. 22.If x/3 + 11 = 16, what is x? (a) 37 (b) 15 (c) 5 (d) 81
  23. 23.If 7x + 17 = 73, what is x? (a) 56 (b) 7 (c) 9 (d) 8
  24. 24.If x/4 + 2 = 9, what is x? (a) 28 (b) 7 (c) 34 (d) 44
  25. 25.If x/4 + 14 = 21, what is x? (a) 140 (b) 70 (c) 7 (d) 28
  26. 26.If x/4 + 11 = 16, what is x? (a) 5 (b) 53 (c) 20 (d) 108
  27. 27.If 8x + 3 = 91, what is x? (a) 10 (b) 88 (c) 12 (d) 11
  28. 28.If 6x + 1 = 2x + 45, what is x? (a) 10 (b) 12 (c) 13 (d) 11
  29. 29.If 3x − 8 = 1, what is x? (a) 2 (b) 4 (c) 9 (d) 3
  30. 30.If 6x + 6 = x + 66, what is x? (a) 14 (b) 13 (c) 11 (d) 12
  31. 31.If 7x + 3 = 31, what is x? (a) 28 (b) 4 (c) 3 (d) 5
  32. 32.If 5x − 4 = 16, what is x? (a) 20 (b) 5 (c) 4 (d) 3
  33. 33.If 4x + 4 = x + 16, what is x? (a) 5 (b) 3 (c) 6 (d) 4
  34. 34.If 7x + 8 = 64, what is x? (a) 56 (b) 8 (c) 7 (d) 9
  35. 35.If 8x + 17 = 5x + 32, what is x? (a) 4 (b) 5 (c) 7 (d) 6
  36. 36.If x/4 + 3 = 6, what is x? (a) 36 (b) 12 (c) 21 (d) 3
  37. 37.If 5x + 24 = 34, what is x? (a) 3 (b) 2 (c) 10 (d) 1
  38. 38.If x/5 + 3 = 15, what is x? (a) 12 (b) 90 (c) 60 (d) 72
  39. 39.If x/2 + 1 = 4, what is x? (a) 10 (b) 7 (c) 6 (d) 3
  40. 40.If 6x + 4 = 3x + 34, what is x? (a) 9 (b) 11 (c) 12 (d) 10

Answer key

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

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