← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 604 · 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 9x − 5 = 22, what is x? (a) 27 (b) 4 (c) 2 (d) 3
  2. 2.If 5x − 25 = 10, what is x? (a) 7 (b) 6 (c) 35 (d) 8
  3. 3.If 9x + 9 = 4x + 14, what is x? (a) 3 (b) 2 (c) 4 (d) 1
  4. 4.If 9x + 15 = 123, what is x? (a) 12 (b) 13 (c) 108 (d) 11
  5. 5.If 7x + 16 = 2x + 21, what is x? (a) 4 (b) 3 (c) 2 (d) 1
  6. 6.If x/4 + 13 = 17, what is x? (a) 55 (b) 16 (c) 120 (d) 4
  7. 7.If 7x + 20 = 83, what is x? (a) 63 (b) 8 (c) 9 (d) 10
  8. 8.If 5x − 10 = 45, what is x? (a) 55 (b) 11 (c) 7 (d) 12
  9. 9.If 6x + 4 = 2x + 36, what is x? (a) 9 (b) 4 (c) 8 (d) 10
  10. 10.If 8x + 2 = 5x + 38, what is x? (a) 11 (b) 13 (c) 14 (d) 12
  11. 11.If x/4 + 4 = 16, what is x? (a) 12 (b) 60 (c) 80 (d) 48
  12. 12.If 6x − 26 = 4, what is x? (a) 30 (b) 4 (c) 5 (d) 6
  13. 13.If 4x + 13 = 57, what is x? (a) 12 (b) 11 (c) 44 (d) 10
  14. 14.If 6x + 7 = 3x + 16, what is x? (a) 3 (b) 4 (c) 1 (d) 5
  15. 15.If x/2 + 12 = 22, what is x? (a) 10 (b) 68 (c) 20 (d) 32
  16. 16.If 6x + 6 = 3x + 30, what is x? (a) 8 (b) 12 (c) 9 (d) 10
  17. 17.If 5x − 18 = 52, what is x? (a) 70 (b) 15 (c) 14 (d) 13
  18. 18.If 6x + 18 = x + 33, what is x? (a) 2 (b) 3 (c) 4 (d) 5
  19. 19.If 2x + 2 = 28, what is x? (a) 14 (b) 15 (c) 26 (d) 13
  20. 20.If 7x − 48 = 43, what is x? (a) 91 (b) 14 (c) 12 (d) 13
  21. 21.If x/3 + 4 = 10, what is x? (a) 18 (b) 6 (c) 26 (d) 42
  22. 22.If 6x + 2 = 3x + 17, what is x? (a) 7 (b) 6 (c) 5 (d) 4
  23. 23.If x/5 + 14 = 24, what is x? (a) 50 (b) 10 (c) 190 (d) 106
  24. 24.If x/4 + 5 = 8, what is x? (a) 27 (b) 12 (c) 52 (d) 3
  25. 25.If 7x + 17 = 6x + 28, what is x? (a) 12 (b) 45 (c) 13 (d) 11
  26. 26.If 7x − 22 = 13, what is x? (a) 35 (b) 4 (c) 5 (d) 6
  27. 27.If 3x + 21 = 66, what is x? (a) 45 (b) 16 (c) 29 (d) 15
  28. 28.If x/5 + 5 = 14, what is x? (a) 65 (b) 95 (c) 45 (d) 9
  29. 29.If x/3 + 6 = 18, what is x? (a) 36 (b) 72 (c) 12 (d) 48
  30. 30.If 6x + 15 = x + 25, what is x? (a) 3 (b) 2 (c) 8 (d) 4
  31. 31.If 3x + 19 = 2x + 20, what is x? (a) 3 (b) 39 (c) 1 (d) 2
  32. 32.If x/3 + 4 = 14, what is x? (a) 54 (b) 30 (c) 38 (d) 10
  33. 33.If 9x − 83 = 25, what is x? (a) 11 (b) 12 (c) 13 (d) 108
  34. 34.If 6x + 18 = 2x + 42, what is x? (a) 7 (b) 6 (c) 3 (d) 15
  35. 35.If 6x − 22 = 14, what is x? (a) 36 (b) 6 (c) 5 (d) 7
  36. 36.If x/5 + 13 = 18, what is x? (a) 5 (b) 155 (c) 25 (d) 77
  37. 37.If 8x + 25 = 121, what is x? (a) 13 (b) 11 (c) 96 (d) 12
  38. 38.If x/6 + 2 = 14, what is x? (a) 72 (b) 82 (c) 12 (d) 96
  39. 39.If 3x − 2 = 10, what is x? (a) 12 (b) 4 (c) 5 (d) 3
  40. 40.If 8x + 12 = 52, what is x? (a) 8 (b) 5 (c) 6 (d) 40

Answer key

  1. 3
  2. 7
  3. 1
  4. 12
  5. 1
  6. 16
  7. 9
  8. 11
  9. 8
  10. 12
  11. 48
  12. 5
  13. 11
  14. 3
  15. 20
  16. 8
  17. 14
  18. 3
  19. 13
  20. 13
  21. 18
  22. 5
  23. 50
  24. 12
  25. 11
  26. 5
  27. 15
  28. 45
  29. 36
  30. 2
  31. 1
  32. 30
  33. 12
  34. 6
  35. 6
  36. 25
  37. 12
  38. 72
  39. 4
  40. 5

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