← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 658 · 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 + 9 = 2x + 21, what is x? (a) 14 (b) 13 (c) 30 (d) 12
  2. 2.If x/5 + 15 = 17, what is x? (a) 10 (b) 2 (c) 160 (d) 70
  3. 3.If 6x + 23 = 71, what is x? (a) 9 (b) 8 (c) 48 (d) 7
  4. 4.If x/4 + 5 = 15, what is x? (a) 55 (b) 80 (c) 40 (d) 10
  5. 5.If 2x − 13 = 9, what is x? (a) 10 (b) 22 (c) 12 (d) 11
  6. 6.If x/4 + 15 = 22, what is x? (a) 148 (b) 28 (c) 7 (d) 73
  7. 7.If 4x − 8 = 24, what is x? (a) 9 (b) 8 (c) 4 (d) 32
  8. 8.If 4x − 25 = 15, what is x? (a) 40 (b) 9 (c) 10 (d) 11
  9. 9.If 8x − 44 = 28, what is x? (a) 8 (b) 10 (c) 9 (d) 72
  10. 10.If 7x + 13 = 41, what is x? (a) 4 (b) 28 (c) 3 (d) 5
  11. 11.If 6x + 14 = 3x + 20, what is x? (a) 3 (b) 1 (c) 2 (d) 4
  12. 12.If 2x + 22 = 28, what is x? (a) 25 (b) 3 (c) 6 (d) 4
  13. 13.If 9x − 4 = 41, what is x? (a) 5 (b) 4 (c) 45 (d) 6
  14. 14.If 6x + 2 = 26, what is x? (a) 5 (b) 4 (c) 3 (d) 24
  15. 15.If 9x − 5 = 22, what is x? (a) 2 (b) 4 (c) 3 (d) 27
  16. 16.If 5x + 7 = 72, what is x? (a) 13 (b) 12 (c) 65 (d) 14
  17. 17.If 2x − 3 = 1, what is x? (a) 2 (b) 1 (c) 3 (d) 4
  18. 18.If x/6 + 1 = 12, what is x? (a) 11 (b) 66 (c) 71 (d) 78
  19. 19.If 2x + 4 = 20, what is x? (a) 16 (b) 8 (c) 12 (d) 9
  20. 20.If 5x − 5 = 65, what is x? (a) 12 (b) 15 (c) 14 (d) 70
  21. 21.If x/2 + 12 = 20, what is x? (a) 16 (b) 8 (c) 28 (d) 64
  22. 22.If 9x + 6 = 105, what is x? (a) 10 (b) 11 (c) 12 (d) 99
  23. 23.If 4x + 13 = 37, what is x? (a) 7 (b) 5 (c) 24 (d) 6
  24. 24.If 4x + 25 = 85, what is x? (a) 60 (b) 14 (c) 15 (d) 16
  25. 25.If 2x − 13 = 1, what is x? (a) 8 (b) 14 (c) 6 (d) 7
  26. 26.If 5x − 1 = 9, what is x? (a) 3 (b) 1 (c) 2 (d) 10
  27. 27.If 6x + 5 = 4x + 23, what is x? (a) 14 (b) 10 (c) 9 (d) 11
  28. 28.If 3x + 4 = 2x + 5, what is x? (a) 2 (b) 1 (c) 9 (d) 3
  29. 29.If 5x + 7 = 17, what is x? (a) 10 (b) 1 (c) 3 (d) 2
  30. 30.If 6x + 5 = 2x + 53, what is x? (a) 12 (b) 14 (c) 6 (d) 13
  31. 31.If 3x + 29 = 59, what is x? (a) 30 (b) 9 (c) 10 (d) 11
  32. 32.If 6x + 15 = x + 55, what is x? (a) 14 (b) 10 (c) 9 (d) 8
  33. 33.If 9x − 39 = 15, what is x? (a) 54 (b) 5 (c) 7 (d) 6
  34. 34.If x/6 + 13 = 16, what is x? (a) 174 (b) 3 (c) 83 (d) 18
  35. 35.If 8x + 7 = 6x + 15, what is x? (a) 5 (b) 4 (c) 6 (d) 11
  36. 36.If 3x − 13 = 17, what is x? (a) 10 (b) 9 (c) 11 (d) 30
  37. 37.If 8x − 32 = 16, what is x? (a) 7 (b) 48 (c) 5 (d) 6
  38. 38.If 9x + 5 = 2x + 19, what is x? (a) 4 (b) 2 (c) 1 (d) 3
  39. 39.If 9x − 71 = 19, what is x? (a) 90 (b) 11 (c) 9 (d) 10
  40. 40.If x/6 + 2 = 7, what is x? (a) 54 (b) 40 (c) 5 (d) 30

Answer key

  1. 12
  2. 10
  3. 8
  4. 40
  5. 11
  6. 28
  7. 8
  8. 10
  9. 9
  10. 4
  11. 2
  12. 3
  13. 5
  14. 4
  15. 3
  16. 13
  17. 2
  18. 66
  19. 8
  20. 14
  21. 16
  22. 11
  23. 6
  24. 15
  25. 7
  26. 2
  27. 9
  28. 1
  29. 2
  30. 12
  31. 10
  32. 8
  33. 6
  34. 18
  35. 4
  36. 10
  37. 6
  38. 2
  39. 10
  40. 30

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