← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 782 · 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 − 42 = 24, what is x? (a) 12 (b) 66 (c) 10 (d) 11
  2. 2.If 8x + 21 = 93, what is x? (a) 72 (b) 8 (c) 9 (d) 10
  3. 3.If 3x + 16 = 2x + 26, what is x? (a) 10 (b) 2 (c) 11 (d) 42
  4. 4.If 9x − 74 = 7, what is x? (a) 10 (b) 81 (c) 8 (d) 9
  5. 5.If 3x + 17 = 44, what is x? (a) 27 (b) 9 (c) 10 (d) 8
  6. 6.If x/5 + 9 = 13, what is x? (a) 20 (b) 110 (c) 56 (d) 4
  7. 7.If 7x − 7 = 42, what is x? (a) 8 (b) 5 (c) 49 (d) 7
  8. 8.If 4x + 4 = 2x + 24, what is x? (a) 10 (b) 12 (c) 14 (d) 11
  9. 9.If 2x + 18 = 38, what is x? (a) 11 (b) 10 (c) 20 (d) 28
  10. 10.If 9x − 37 = 17, what is x? (a) 7 (b) 54 (c) 5 (d) 6
  11. 11.If x/2 + 6 = 18, what is x? (a) 48 (b) 24 (c) 12 (d) 30
  12. 12.If x/5 + 2 = 5, what is x? (a) 3 (b) 35 (c) 15 (d) 23
  13. 13.If x/6 + 11 = 14, what is x? (a) 3 (b) 18 (c) 150 (d) 73
  14. 14.If x/3 + 12 = 22, what is x? (a) 30 (b) 54 (c) 102 (d) 10
  15. 15.If x/4 + 13 = 20, what is x? (a) 28 (b) 132 (c) 67 (d) 7
  16. 16.If x/5 + 13 = 25, what is x? (a) 12 (b) 190 (c) 112 (d) 60
  17. 17.If 3x + 5 = x + 7, what is x? (a) 6 (b) 3 (c) 2 (d) 1
  18. 18.If 5x + 9 = 3x + 17, what is x? (a) 4 (b) 13 (c) 1 (d) 5
  19. 19.If 9x + 7 = 88, what is x? (a) 81 (b) 9 (c) 8 (d) 10
  20. 20.If 6x − 1 = 53, what is x? (a) 54 (b) 9 (c) 10 (d) 8
  21. 21.If x/2 + 9 = 13, what is x? (a) 4 (b) 8 (c) 17 (d) 44
  22. 22.If 9x − 18 = 63, what is x? (a) 81 (b) 10 (c) 5 (d) 9
  23. 23.If 3x + 7 = 46, what is x? (a) 14 (b) 39 (c) 12 (d) 13
  24. 24.If x/5 + 6 = 12, what is x? (a) 30 (b) 6 (c) 54 (d) 90
  25. 25.If 2x + 2 = 12, what is x? (a) 6 (b) 7 (c) 10 (d) 5
  26. 26.If 3x + 8 = 29, what is x? (a) 8 (b) 7 (c) 21 (d) 6
  27. 27.If 9x − 53 = 19, what is x? (a) 72 (b) 9 (c) 7 (d) 8
  28. 28.If 7x + 4 = 2x + 39, what is x? (a) 6 (b) 9 (c) 7 (d) 8
  29. 29.If x/6 + 14 = 22, what is x? (a) 118 (b) 8 (c) 48 (d) 216
  30. 30.If 8x + 29 = 61, what is x? (a) 4 (b) 32 (c) 5 (d) 3
  31. 31.If 2x − 2 = 6, what is x? (a) 2 (b) 8 (c) 4 (d) 5
  32. 32.If 9x + 27 = 81, what is x? (a) 12 (b) 6 (c) 7 (d) 54
  33. 33.If 4x + 10 = 34, what is x? (a) 11 (b) 6 (c) 7 (d) 24
  34. 34.If 3x + 20 = x + 38, what is x? (a) 10 (b) 9 (c) 29 (d) 11
  35. 35.If 9x + 11 = 5x + 55, what is x? (a) 10 (b) 13 (c) 12 (d) 11
  36. 36.If 6x + 22 = 34, what is x? (a) 12 (b) 1 (c) 3 (d) 2
  37. 37.If 9x + 20 = 119, what is x? (a) 12 (b) 11 (c) 99 (d) 10
  38. 38.If x/6 + 7 = 13, what is x? (a) 71 (b) 120 (c) 6 (d) 36
  39. 39.If 8x + 22 = 78, what is x? (a) 8 (b) 7 (c) 6 (d) 56
  40. 40.If 8x − 5 = 11, what is x? (a) 16 (b) 1 (c) 3 (d) 2

Answer key

  1. 11
  2. 9
  3. 10
  4. 9
  5. 9
  6. 20
  7. 7
  8. 10
  9. 10
  10. 6
  11. 24
  12. 15
  13. 18
  14. 30
  15. 28
  16. 60
  17. 1
  18. 4
  19. 9
  20. 9
  21. 8
  22. 9
  23. 13
  24. 30
  25. 5
  26. 7
  27. 8
  28. 7
  29. 48
  30. 4
  31. 4
  32. 6
  33. 6
  34. 9
  35. 11
  36. 2
  37. 11
  38. 36
  39. 7
  40. 2

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