← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 733 · 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 7x − 27 = 15, what is x? (a) 5 (b) 6 (c) 7 (d) 42
  2. 2.If x/5 + 4 = 7, what is x? (a) 31 (b) 55 (c) 15 (d) 3
  3. 3.If 9x − 97 = 38, what is x? (a) 15 (b) 135 (c) 14 (d) 16
  4. 4.If x/2 + 11 = 17, what is x? (a) 56 (b) 12 (c) 6 (d) 23
  5. 5.If 9x − 123 = 12, what is x? (a) 135 (b) 14 (c) 15 (d) 16
  6. 6.If 7x + 11 = 5x + 19, what is x? (a) 6 (b) 15 (c) 5 (d) 4
  7. 7.If 3x + 2 = 2x + 12, what is x? (a) 2 (b) 10 (c) 11 (d) 14
  8. 8.If x/6 + 12 = 15, what is x? (a) 18 (b) 3 (c) 162 (d) 78
  9. 9.If 8x + 27 = 83, what is x? (a) 7 (b) 8 (c) 56 (d) 6
  10. 10.If 3x + 17 = 2x + 24, what is x? (a) 9 (b) 8 (c) 7 (d) 41
  11. 11.If 5x + 13 = 88, what is x? (a) 16 (b) 75 (c) 14 (d) 15
  12. 12.If 2x − 1 = 27, what is x? (a) 14 (b) 13 (c) 15 (d) 28
  13. 13.If x/6 + 14 = 23, what is x? (a) 222 (b) 124 (c) 54 (d) 9
  14. 14.If x/4 + 11 = 19, what is x? (a) 65 (b) 32 (c) 8 (d) 120
  15. 15.If 5x + 21 = 91, what is x? (a) 70 (b) 15 (c) 13 (d) 14
  16. 16.If x/5 + 10 = 16, what is x? (a) 6 (b) 70 (c) 130 (d) 30
  17. 17.If 2x − 1 = 7, what is x? (a) 5 (b) 3 (c) 8 (d) 4
  18. 18.If 9x + 4 = 2x + 32, what is x? (a) 6 (b) 3 (c) 4 (d) 5
  19. 19.If 6x + 5 = 4x + 7, what is x? (a) 6 (b) 2 (c) 1 (d) 3
  20. 20.If 2x + 6 = 32, what is x? (a) 14 (b) 13 (c) 19 (d) 26
  21. 21.If x/4 + 4 = 10, what is x? (a) 56 (b) 36 (c) 6 (d) 24
  22. 22.If x/5 + 6 = 8, what is x? (a) 2 (b) 34 (c) 10 (d) 70
  23. 23.If 4x + 3 = 3x + 5, what is x? (a) 2 (b) 4 (c) 3 (d) 8
  24. 24.If 3x − 12 = 9, what is x? (a) 6 (b) 21 (c) 8 (d) 7
  25. 25.If 3x + 7 = 22, what is x? (a) 5 (b) 4 (c) 6 (d) 15
  26. 26.If 5x − 10 = 35, what is x? (a) 45 (b) 10 (c) 5 (d) 9
  27. 27.If 4x + 22 = 62, what is x? (a) 21 (b) 40 (c) 10 (d) 11
  28. 28.If 7x + 6 = 97, what is x? (a) 13 (b) 14 (c) 91 (d) 12
  29. 29.If 6x + 25 = 97, what is x? (a) 11 (b) 72 (c) 13 (d) 12
  30. 30.If x/6 + 7 = 19, what is x? (a) 156 (b) 12 (c) 107 (d) 72
  31. 31.If 5x + 14 = 29, what is x? (a) 15 (b) 4 (c) 3 (d) 2
  32. 32.If 2x + 28 = 36, what is x? (a) 4 (b) 8 (c) 32 (d) 5
  33. 33.If 9x + 6 = 123, what is x? (a) 13 (b) 14 (c) 117 (d) 12
  34. 34.If 5x + 27 = 37, what is x? (a) 1 (b) 2 (c) 10 (d) 3
  35. 35.If 6x + 15 = 33, what is x? (a) 18 (b) 4 (c) 8 (d) 3
  36. 36.If 4x + 2 = 3x + 7, what is x? (a) 5 (b) 7 (c) 6 (d) 9
  37. 37.If 9x + 30 = 129, what is x? (a) 11 (b) 12 (c) 99 (d) 10
  38. 38.If 7x + 2 = x + 32, what is x? (a) 5 (b) 7 (c) 4 (d) 6
  39. 39.If 2x − 3 = 7, what is x? (a) 5 (b) 6 (c) 10 (d) 2
  40. 40.If x/3 + 15 = 18, what is x? (a) 99 (b) 39 (c) 3 (d) 9

Answer key

  1. 6
  2. 15
  3. 15
  4. 12
  5. 15
  6. 4
  7. 10
  8. 18
  9. 7
  10. 7
  11. 15
  12. 14
  13. 54
  14. 32
  15. 14
  16. 30
  17. 4
  18. 4
  19. 1
  20. 13
  21. 24
  22. 10
  23. 2
  24. 7
  25. 5
  26. 9
  27. 10
  28. 13
  29. 12
  30. 72
  31. 3
  32. 4
  33. 13
  34. 2
  35. 3
  36. 5
  37. 11
  38. 5
  39. 5
  40. 9

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