← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 858 · 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/3 + 12 = 19, what is x? (a) 21 (b) 93 (c) 45 (d) 7
  2. 2.If 5x + 3 = x + 47, what is x? (a) 13 (b) 10 (c) 11 (d) 12
  3. 3.If 4x + 1 = 2x + 17, what is x? (a) 9 (b) 10 (c) 8 (d) 7
  4. 4.If 4x + 23 = 55, what is x? (a) 7 (b) 8 (c) 32 (d) 9
  5. 5.If x/2 + 1 = 6, what is x? (a) 5 (b) 14 (c) 11 (d) 10
  6. 6.If 8x + 10 = 5x + 25, what is x? (a) 5 (b) 4 (c) 7 (d) 6
  7. 7.If 8x + 9 = 7x + 21, what is x? (a) 13 (b) 12 (c) 14 (d) 30
  8. 8.If 7x + 2 = 6x + 14, what is x? (a) 13 (b) 14 (c) 16 (d) 12
  9. 9.If 4x + 22 = 38, what is x? (a) 5 (b) 15 (c) 16 (d) 4
  10. 10.If 7x + 5 = 3x + 49, what is x? (a) 10 (b) 11 (c) 13 (d) 12
  11. 11.If 2x + 6 = 24, what is x? (a) 9 (b) 15 (c) 18 (d) 10
  12. 12.If 2x − 10 = 10, what is x? (a) 9 (b) 11 (c) 20 (d) 10
  13. 13.If 3x − 11 = 1, what is x? (a) 4 (b) 5 (c) 3 (d) 12
  14. 14.If 8x + 13 = 5x + 28, what is x? (a) 6 (b) 7 (c) 5 (d) 4
  15. 15.If 3x − 4 = 2, what is x? (a) 2 (b) 1 (c) 6 (d) 3
  16. 16.If 6x + 22 = 100, what is x? (a) 12 (b) 78 (c) 14 (d) 13
  17. 17.If 4x + 11 = 35, what is x? (a) 6 (b) 24 (c) 5 (d) 7
  18. 18.If x/2 + 12 = 15, what is x? (a) 3 (b) 6 (c) 18 (d) 54
  19. 19.If 4x + 8 = x + 38, what is x? (a) 12 (b) 6 (c) 11 (d) 10
  20. 20.If 3x + 10 = x + 32, what is x? (a) 13 (b) 11 (c) 12 (d) 21
  21. 21.If x/3 + 3 = 10, what is x? (a) 27 (b) 21 (c) 7 (d) 39
  22. 22.If x/5 + 5 = 15, what is x? (a) 70 (b) 100 (c) 10 (d) 50
  23. 23.If 2x − 4 = 4, what is x? (a) 8 (b) 4 (c) 5 (d) 3
  24. 24.If 2x + 17 = 27, what is x? (a) 5 (b) 22 (c) 6 (d) 10
  25. 25.If 8x + 10 = 90, what is x? (a) 10 (b) 11 (c) 9 (d) 80
  26. 26.If x/3 + 2 = 10, what is x? (a) 36 (b) 24 (c) 28 (d) 8
  27. 27.If 3x + 20 = 59, what is x? (a) 14 (b) 13 (c) 39 (d) 12
  28. 28.If x/4 + 11 = 14, what is x? (a) 100 (b) 3 (c) 12 (d) 45
  29. 29.If 3x + 20 = 2x + 22, what is x? (a) 4 (b) 42 (c) 2 (d) 3
  30. 30.If 3x − 23 = 13, what is x? (a) 36 (b) 13 (c) 11 (d) 12
  31. 31.If 3x + 12 = x + 30, what is x? (a) 9 (b) 21 (c) 10 (d) 11
  32. 32.If 7x + 4 = x + 76, what is x? (a) 13 (b) 12 (c) 9 (d) 14
  33. 33.If 9x + 2 = 2x + 30, what is x? (a) 4 (b) 5 (c) 3 (d) 6
  34. 34.If 7x − 55 = 29, what is x? (a) 84 (b) 13 (c) 11 (d) 12
  35. 35.If 9x − 3 = 114, what is x? (a) 12 (b) 117 (c) 13 (d) 14
  36. 36.If 5x − 4 = 36, what is x? (a) 8 (b) 40 (c) 7 (d) 9
  37. 37.If 8x + 13 = 4x + 45, what is x? (a) 8 (b) 9 (c) 7 (d) 10
  38. 38.If 6x − 6 = 30, what is x? (a) 4 (b) 7 (c) 6 (d) 36
  39. 39.If 5x + 21 = 61, what is x? (a) 40 (b) 7 (c) 8 (d) 9
  40. 40.If 7x + 9 = 37, what is x? (a) 4 (b) 28 (c) 3 (d) 5

Answer key

  1. 21
  2. 11
  3. 8
  4. 8
  5. 10
  6. 5
  7. 12
  8. 12
  9. 4
  10. 11
  11. 9
  12. 10
  13. 4
  14. 5
  15. 2
  16. 13
  17. 6
  18. 6
  19. 10
  20. 11
  21. 21
  22. 50
  23. 4
  24. 5
  25. 10
  26. 24
  27. 13
  28. 12
  29. 2
  30. 12
  31. 9
  32. 12
  33. 4
  34. 12
  35. 13
  36. 8
  37. 8
  38. 6
  39. 8
  40. 4

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