← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 744 · 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 5x + 6 = 3x + 30, what is x? (a) 3 (b) 13 (c) 18 (d) 12
  2. 2.If x/5 + 15 = 26, what is x? (a) 55 (b) 115 (c) 205 (d) 11
  3. 3.If 8x + 8 = 104, what is x? (a) 96 (b) 13 (c) 14 (d) 12
  4. 4.If x/2 + 2 = 5, what is x? (a) 3 (b) 14 (c) 6 (d) 8
  5. 5.If x/4 + 1 = 7, what is x? (a) 27 (b) 6 (c) 32 (d) 24
  6. 6.If x/6 + 11 = 18, what is x? (a) 7 (b) 174 (c) 42 (d) 97
  7. 7.If 2x + 14 = 20, what is x? (a) 3 (b) 17 (c) 6 (d) 4
  8. 8.If x/2 + 13 = 15, what is x? (a) 56 (b) 2 (c) 4 (d) 17
  9. 9.If 6x + 11 = x + 41, what is x? (a) 7 (b) 6 (c) 5 (d) 8
  10. 10.If x/2 + 3 = 15, what is x? (a) 36 (b) 12 (c) 24 (d) 27
  11. 11.If x/6 + 14 = 18, what is x? (a) 24 (b) 4 (c) 94 (d) 192
  12. 12.If 4x − 18 = 2, what is x? (a) 6 (b) 4 (c) 20 (d) 5
  13. 13.If x/3 + 15 = 24, what is x? (a) 117 (b) 57 (c) 27 (d) 9
  14. 14.If 7x − 19 = 37, what is x? (a) 7 (b) 56 (c) 8 (d) 9
  15. 15.If 9x + 7 = 88, what is x? (a) 81 (b) 9 (c) 8 (d) 10
  16. 16.If x/5 + 11 = 19, what is x? (a) 150 (b) 8 (c) 40 (d) 84
  17. 17.If 4x − 26 = 18, what is x? (a) 12 (b) 44 (c) 11 (d) 10
  18. 18.If 9x + 5 = 8x + 14, what is x? (a) 10 (b) 9 (c) 11 (d) 19
  19. 19.If 9x + 8 = 98, what is x? (a) 9 (b) 10 (c) 90 (d) 11
  20. 20.If 7x − 15 = 27, what is x? (a) 42 (b) 5 (c) 7 (d) 6
  21. 21.If 9x + 20 = 7x + 34, what is x? (a) 27 (b) 8 (c) 7 (d) 9
  22. 22.If x/5 + 10 = 19, what is x? (a) 85 (b) 9 (c) 45 (d) 145
  23. 23.If 8x − 52 = 12, what is x? (a) 7 (b) 64 (c) 8 (d) 9
  24. 24.If 5x + 9 = 69, what is x? (a) 60 (b) 13 (c) 12 (d) 11
  25. 25.If x/5 + 7 = 13, what is x? (a) 30 (b) 58 (c) 6 (d) 100
  26. 26.If 5x + 10 = 40, what is x? (a) 30 (b) 10 (c) 7 (d) 6
  27. 27.If x/3 + 10 = 13, what is x? (a) 29 (b) 69 (c) 3 (d) 9
  28. 28.If 4x − 35 = 1, what is x? (a) 10 (b) 8 (c) 9 (d) 36
  29. 29.If 4x + 19 = 63, what is x? (a) 10 (b) 44 (c) 11 (d) 12
  30. 30.If 3x − 9 = 18, what is x? (a) 27 (b) 3 (c) 9 (d) 10
  31. 31.If x/5 + 13 = 18, what is x? (a) 25 (b) 77 (c) 5 (d) 155
  32. 32.If 8x + 4 = 5x + 16, what is x? (a) 4 (b) 6 (c) 3 (d) 5
  33. 33.If x/6 + 5 = 11, what is x? (a) 6 (b) 36 (c) 96 (d) 61
  34. 34.If 4x + 15 = 3x + 19, what is x? (a) 5 (b) 34 (c) 6 (d) 4
  35. 35.If 9x + 13 = 2x + 69, what is x? (a) 8 (b) 10 (c) 9 (d) 7
  36. 36.If 8x − 46 = 42, what is x? (a) 11 (b) 10 (c) 12 (d) 88
  37. 37.If 7x − 12 = 37, what is x? (a) 8 (b) 49 (c) 7 (d) 6
  38. 38.If 6x + 10 = 2x + 22, what is x? (a) 5 (b) 8 (c) 4 (d) 3
  39. 39.If 7x + 14 = 98, what is x? (a) 12 (b) 16 (c) 84 (d) 13
  40. 40.If x/5 + 15 = 24, what is x? (a) 105 (b) 9 (c) 45 (d) 195

Answer key

  1. 12
  2. 55
  3. 12
  4. 6
  5. 24
  6. 42
  7. 3
  8. 4
  9. 6
  10. 24
  11. 24
  12. 5
  13. 27
  14. 8
  15. 9
  16. 40
  17. 11
  18. 9
  19. 10
  20. 6
  21. 7
  22. 45
  23. 8
  24. 12
  25. 30
  26. 6
  27. 9
  28. 9
  29. 11
  30. 9
  31. 25
  32. 4
  33. 36
  34. 4
  35. 8
  36. 11
  37. 7
  38. 3
  39. 12
  40. 45

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