← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 925 · 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 − 2 = 22, what is x? (a) 24 (b) 7 (c) 8 (d) 9
  2. 2.If 7x + 17 = x + 41, what is x? (a) 3 (b) 4 (c) 5 (d) 6
  3. 3.If 5x + 17 = x + 45, what is x? (a) 9 (b) 7 (c) 8 (d) 6
  4. 4.If 2x + 2 = 20, what is x? (a) 9 (b) 11 (c) 18 (d) 10
  5. 5.If 6x + 16 = 58, what is x? (a) 6 (b) 42 (c) 7 (d) 8
  6. 6.If 3x + 12 = 2x + 14, what is x? (a) 2 (b) 26 (c) 3 (d) 4
  7. 7.If x/6 + 13 = 18, what is x? (a) 95 (b) 5 (c) 30 (d) 186
  8. 8.If 8x + 14 = 7x + 17, what is x? (a) 5 (b) 31 (c) 3 (d) 4
  9. 9.If 2x − 21 = 9, what is x? (a) 14 (b) 16 (c) 30 (d) 15
  10. 10.If 7x + 19 = 3x + 59, what is x? (a) 4 (b) 11 (c) 10 (d) 12
  11. 11.If x/2 + 2 = 13, what is x? (a) 30 (b) 11 (c) 22 (d) 24
  12. 12.If x/3 + 4 = 11, what is x? (a) 45 (b) 21 (c) 7 (d) 29
  13. 13.If 3x − 3 = 12, what is x? (a) 6 (b) 3 (c) 15 (d) 5
  14. 14.If 6x − 1 = 11, what is x? (a) 1 (b) 12 (c) 3 (d) 2
  15. 15.If 9x + 10 = 8x + 13, what is x? (a) 5 (b) 4 (c) 3 (d) 23
  16. 16.If x/2 + 9 = 12, what is x? (a) 42 (b) 3 (c) 6 (d) 15
  17. 17.If x/3 + 6 = 18, what is x? (a) 48 (b) 12 (c) 72 (d) 36
  18. 18.If 9x + 2 = 7x + 10, what is x? (a) 6 (b) 4 (c) 5 (d) 3
  19. 19.If x/2 + 14 = 17, what is x? (a) 6 (b) 62 (c) 3 (d) 20
  20. 20.If 3x + 1 = x + 15, what is x? (a) 7 (b) 9 (c) 6 (d) 8
  21. 21.If 5x + 6 = 56, what is x? (a) 50 (b) 10 (c) 11 (d) 9
  22. 22.If 9x − 17 = 19, what is x? (a) 36 (b) 5 (c) 4 (d) 3
  23. 23.If 8x + 13 = 85, what is x? (a) 10 (b) 72 (c) 8 (d) 9
  24. 24.If 4x − 8 = 12, what is x? (a) 1 (b) 5 (c) 20 (d) 6
  25. 25.If 7x − 6 = 92, what is x? (a) 15 (b) 14 (c) 13 (d) 98
  26. 26.If 4x + 23 = 35, what is x? (a) 12 (b) 3 (c) 4 (d) 2
  27. 27.If 5x + 4 = 19, what is x? (a) 15 (b) 3 (c) 4 (d) 2
  28. 28.If 9x − 19 = 8, what is x? (a) 4 (b) 2 (c) 3 (d) 27
  29. 29.If 5x + 3 = 3x + 21, what is x? (a) 12 (b) 9 (c) 11 (d) 10
  30. 30.If 3x − 29 = 16, what is x? (a) 45 (b) 14 (c) 15 (d) 16
  31. 31.If 8x − 47 = 73, what is x? (a) 120 (b) 16 (c) 15 (d) 14
  32. 32.If 7x + 5 = 6x + 12, what is x? (a) 9 (b) 8 (c) 7 (d) 17
  33. 33.If 3x − 20 = 10, what is x? (a) 10 (b) 9 (c) 11 (d) 30
  34. 34.If 3x − 6 = 18, what is x? (a) 9 (b) 24 (c) 4 (d) 8
  35. 35.If 9x + 4 = 130, what is x? (a) 14 (b) 126 (c) 13 (d) 15
  36. 36.If 7x − 7 = 28, what is x? (a) 35 (b) 6 (c) 5 (d) 3
  37. 37.If 6x − 7 = 29, what is x? (a) 5 (b) 36 (c) 6 (d) 7
  38. 38.If 5x + 25 = 60, what is x? (a) 35 (b) 17 (c) 8 (d) 7
  39. 39.If x/2 + 5 = 14, what is x? (a) 9 (b) 38 (c) 23 (d) 18
  40. 40.If 5x + 2 = x + 22, what is x? (a) 6 (b) 7 (c) 5 (d) 4

Answer key

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

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