← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 235 · 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 6x + 7 = 31, what is x? (a) 4 (b) 5 (c) 3 (d) 24
  2. 2.If 7x + 8 = 4x + 32, what is x? (a) 7 (b) 10 (c) 8 (d) 9
  3. 3.If x/2 + 9 = 19, what is x? (a) 29 (b) 20 (c) 10 (d) 56
  4. 4.If 2x − 1 = 7, what is x? (a) 4 (b) 3 (c) 8 (d) 5
  5. 5.If 7x + 20 = x + 74, what is x? (a) 11 (b) 8 (c) 9 (d) 10
  6. 6.If 3x + 12 = x + 22, what is x? (a) 17 (b) 7 (c) 5 (d) 6
  7. 7.If 2x − 8 = 2, what is x? (a) 4 (b) 6 (c) 5 (d) 10
  8. 8.If 4x + 5 = 53, what is x? (a) 13 (b) 11 (c) 12 (d) 48
  9. 9.If 9x + 25 = 142, what is x? (a) 12 (b) 13 (c) 14 (d) 117
  10. 10.If x/6 + 2 = 6, what is x? (a) 24 (b) 4 (c) 34 (d) 48
  11. 11.If 2x − 22 = 4, what is x? (a) 14 (b) 12 (c) 26 (d) 13
  12. 12.If 8x − 5 = 11, what is x? (a) 16 (b) 2 (c) 3 (d) 1
  13. 13.If 2x − 6 = 6, what is x? (a) 12 (b) 5 (c) 7 (d) 6
  14. 14.If 6x + 5 = 59, what is x? (a) 10 (b) 54 (c) 9 (d) 8
  15. 15.If 6x + 13 = 49, what is x? (a) 5 (b) 7 (c) 36 (d) 6
  16. 16.If 5x + 11 = x + 15, what is x? (a) 1 (b) 3 (c) 2 (d) 4
  17. 17.If 2x + 29 = 37, what is x? (a) 33 (b) 5 (c) 8 (d) 4
  18. 18.If x/6 + 10 = 16, what is x? (a) 86 (b) 36 (c) 6 (d) 156
  19. 19.If 6x + 3 = x + 38, what is x? (a) 7 (b) 9 (c) 5 (d) 8
  20. 20.If 4x − 3 = 9, what is x? (a) 4 (b) 12 (c) 2 (d) 3
  21. 21.If 2x − 1 = 9, what is x? (a) 6 (b) 4 (c) 5 (d) 10
  22. 22.If x/2 + 4 = 8, what is x? (a) 24 (b) 4 (c) 12 (d) 8
  23. 23.If 7x − 42 = 7, what is x? (a) 49 (b) 6 (c) 8 (d) 7
  24. 24.If x/3 + 5 = 10, what is x? (a) 15 (b) 25 (c) 5 (d) 45
  25. 25.If 6x + 3 = 3x + 33, what is x? (a) 10 (b) 9 (c) 11 (d) 12
  26. 26.If 9x + 11 = 101, what is x? (a) 11 (b) 90 (c) 9 (d) 10
  27. 27.If 5x + 14 = x + 50, what is x? (a) 16 (b) 9 (c) 6 (d) 10
  28. 28.If 2x + 2 = 22, what is x? (a) 20 (b) 11 (c) 10 (d) 12
  29. 29.If 7x + 27 = 41, what is x? (a) 3 (b) 1 (c) 2 (d) 14
  30. 30.If x/6 + 3 = 13, what is x? (a) 60 (b) 96 (c) 75 (d) 10
  31. 31.If 7x − 24 = 46, what is x? (a) 9 (b) 11 (c) 10 (d) 70
  32. 32.If 3x + 7 = 37, what is x? (a) 30 (b) 9 (c) 11 (d) 10
  33. 33.If x/2 + 8 = 17, what is x? (a) 9 (b) 18 (c) 50 (d) 26
  34. 34.If 9x − 98 = 37, what is x? (a) 15 (b) 135 (c) 14 (d) 16
  35. 35.If 9x + 20 = 110, what is x? (a) 9 (b) 10 (c) 90 (d) 11
  36. 36.If x/2 + 7 = 12, what is x? (a) 5 (b) 10 (c) 38 (d) 17
  37. 37.If 8x + 16 = 6x + 34, what is x? (a) 10 (b) 11 (c) 9 (d) 25
  38. 38.If 5x + 29 = 39, what is x? (a) 3 (b) 1 (c) 2 (d) 10
  39. 39.If 7x − 12 = 44, what is x? (a) 8 (b) 9 (c) 7 (d) 56
  40. 40.If 3x − 9 = 33, what is x? (a) 8 (b) 15 (c) 14 (d) 42

Answer key

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

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