← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 191 · 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 3x − 5 = 16, what is x? (a) 8 (b) 7 (c) 6 (d) 21
  2. 2.If 6x + 16 = 58, what is x? (a) 7 (b) 8 (c) 42 (d) 6
  3. 3.If 9x + 12 = 6x + 42, what is x? (a) 18 (b) 10 (c) 2 (d) 11
  4. 4.If 9x + 4 = x + 52, what is x? (a) 7 (b) 8 (c) 5 (d) 6
  5. 5.If 2x + 28 = 42, what is x? (a) 35 (b) 7 (c) 14 (d) 8
  6. 6.If x/4 + 6 = 8, what is x? (a) 26 (b) 2 (c) 8 (d) 56
  7. 7.If 3x + 5 = 41, what is x? (a) 11 (b) 13 (c) 12 (d) 36
  8. 8.If x/2 + 15 = 27, what is x? (a) 39 (b) 84 (c) 24 (d) 12
  9. 9.If 8x + 9 = 41, what is x? (a) 32 (b) 3 (c) 5 (d) 4
  10. 10.If 2x − 6 = 6, what is x? (a) 5 (b) 12 (c) 6 (d) 7
  11. 11.If x/5 + 13 = 19, what is x? (a) 30 (b) 160 (c) 82 (d) 6
  12. 12.If x/2 + 5 = 12, what is x? (a) 7 (b) 14 (c) 34 (d) 19
  13. 13.If 8x + 13 = 4x + 25, what is x? (a) 4 (b) 5 (c) 1 (d) 3
  14. 14.If 2x − 3 = 15, what is x? (a) 9 (b) 6 (c) 18 (d) 10
  15. 15.If 2x − 1 = 13, what is x? (a) 7 (b) 8 (c) 14 (d) 6
  16. 16.If 6x − 11 = 1, what is x? (a) 1 (b) 2 (c) 3 (d) 12
  17. 17.If 9x + 26 = 116, what is x? (a) 90 (b) 10 (c) 9 (d) 11
  18. 18.If x/3 + 7 = 12, what is x? (a) 5 (b) 15 (c) 57 (d) 29
  19. 19.If 4x − 27 = 5, what is x? (a) 7 (b) 8 (c) 9 (d) 32
  20. 20.If 4x − 20 = 12, what is x? (a) 32 (b) 9 (c) 7 (d) 8
  21. 21.If 2x + 6 = 26, what is x? (a) 10 (b) 20 (c) 11 (d) 16
  22. 22.If 3x + 4 = x + 18, what is x? (a) 8 (b) 9 (c) 11 (d) 7
  23. 23.If 2x + 6 = 18, what is x? (a) 7 (b) 12 (c) 6 (d) 5
  24. 24.If 7x + 17 = 80, what is x? (a) 8 (b) 9 (c) 10 (d) 63
  25. 25.If 7x + 3 = 80, what is x? (a) 77 (b) 10 (c) 12 (d) 11
  26. 26.If 5x − 4 = 11, what is x? (a) 15 (b) 3 (c) 2 (d) 4
  27. 27.If 2x + 28 = 34, what is x? (a) 3 (b) 31 (c) 4 (d) 6
  28. 28.If x/4 + 1 = 5, what is x? (a) 19 (b) 16 (c) 4 (d) 24
  29. 29.If 2x + 15 = 43, what is x? (a) 29 (b) 15 (c) 28 (d) 14
  30. 30.If x/3 + 4 = 7, what is x? (a) 9 (b) 3 (c) 17 (d) 33
  31. 31.If 5x + 7 = 57, what is x? (a) 11 (b) 9 (c) 50 (d) 10
  32. 32.If x/2 + 4 = 11, what is x? (a) 18 (b) 7 (c) 14 (d) 30
  33. 33.If 7x + 4 = 3x + 52, what is x? (a) 12 (b) 14 (c) 11 (d) 13
  34. 34.If 5x − 1 = 9, what is x? (a) 2 (b) 3 (c) 10 (d) 1
  35. 35.If 5x − 1 = 54, what is x? (a) 55 (b) 11 (c) 12 (d) 10
  36. 36.If 3x + 7 = 43, what is x? (a) 13 (b) 36 (c) 12 (d) 11
  37. 37.If 9x + 27 = 54, what is x? (a) 3 (b) 27 (c) 4 (d) 9
  38. 38.If 2x − 5 = 19, what is x? (a) 24 (b) 13 (c) 12 (d) 7
  39. 39.If x/5 + 10 = 18, what is x? (a) 140 (b) 8 (c) 40 (d) 80
  40. 40.If 2x − 16 = 4, what is x? (a) 10 (b) 9 (c) 11 (d) 20

Answer key

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

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