← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 580 · 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 + 8 = x + 18, what is x? (a) 5 (b) 6 (c) 13 (d) 7
  2. 2.If 4x − 6 = 50, what is x? (a) 15 (b) 11 (c) 56 (d) 14
  3. 3.If 7x + 15 = 4x + 39, what is x? (a) 18 (b) 9 (c) 8 (d) 10
  4. 4.If 2x + 4 = 26, what is x? (a) 11 (b) 15 (c) 22 (d) 12
  5. 5.If 6x + 8 = 62, what is x? (a) 8 (b) 54 (c) 10 (d) 9
  6. 6.If 7x + 2 = 3x + 42, what is x? (a) 12 (b) 10 (c) 11 (d) 4
  7. 7.If x/4 + 14 = 24, what is x? (a) 40 (b) 82 (c) 10 (d) 152
  8. 8.If 2x − 14 = 16, what is x? (a) 16 (b) 1 (c) 30 (d) 15
  9. 9.If x/6 + 5 = 15, what is x? (a) 120 (b) 60 (c) 85 (d) 10
  10. 10.If 8x − 97 = 23, what is x? (a) 14 (b) 120 (c) 15 (d) 16
  11. 11.If 5x + 8 = 2x + 38, what is x? (a) 11 (b) 9 (c) 12 (d) 10
  12. 12.If x/6 + 10 = 22, what is x? (a) 122 (b) 72 (c) 12 (d) 192
  13. 13.If 7x + 10 = x + 40, what is x? (a) 7 (b) 5 (c) 6 (d) 4
  14. 14.If 2x − 2 = 2, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  15. 15.If 6x − 62 = 16, what is x? (a) 14 (b) 12 (c) 13 (d) 78
  16. 16.If x/4 + 1 = 5, what is x? (a) 19 (b) 4 (c) 24 (d) 16
  17. 17.If x/5 + 11 = 20, what is x? (a) 155 (b) 9 (c) 89 (d) 45
  18. 18.If 5x + 24 = 34, what is x? (a) 1 (b) 3 (c) 10 (d) 2
  19. 19.If 6x + 1 = 19, what is x? (a) 3 (b) 4 (c) 18 (d) 2
  20. 20.If 7x + 26 = 82, what is x? (a) 7 (b) 8 (c) 9 (d) 56
  21. 21.If 8x − 17 = 7, what is x? (a) 24 (b) 4 (c) 3 (d) 2
  22. 22.If x/5 + 8 = 11, what is x? (a) 3 (b) 95 (c) 15 (d) 47
  23. 23.If x/3 + 13 = 21, what is x? (a) 24 (b) 50 (c) 102 (d) 8
  24. 24.If 3x + 28 = 73, what is x? (a) 14 (b) 45 (c) 16 (d) 15
  25. 25.If x/5 + 11 = 22, what is x? (a) 11 (b) 99 (c) 165 (d) 55
  26. 26.If 4x + 17 = 3x + 21, what is x? (a) 6 (b) 38 (c) 5 (d) 4
  27. 27.If 9x + 22 = 121, what is x? (a) 99 (b) 10 (c) 12 (d) 11
  28. 28.If 6x − 23 = 7, what is x? (a) 4 (b) 5 (c) 6 (d) 30
  29. 29.If x/2 + 14 = 20, what is x? (a) 68 (b) 6 (c) 12 (d) 26
  30. 30.If 4x + 16 = x + 37, what is x? (a) 9 (b) 7 (c) 6 (d) 8
  31. 31.If 6x − 10 = 68, what is x? (a) 78 (b) 12 (c) 14 (d) 13
  32. 32.If 6x − 9 = 9, what is x? (a) 4 (b) 2 (c) 3 (d) 18
  33. 33.If 8x + 14 = 126, what is x? (a) 14 (b) 13 (c) 15 (d) 112
  34. 34.If 6x + 17 = 35, what is x? (a) 18 (b) 3 (c) 4 (d) 2
  35. 35.If x/6 + 7 = 9, what is x? (a) 47 (b) 12 (c) 2 (d) 96
  36. 36.If 9x + 6 = x + 94, what is x? (a) 10 (b) 13 (c) 12 (d) 11
  37. 37.If x/3 + 4 = 10, what is x? (a) 6 (b) 18 (c) 42 (d) 26
  38. 38.If 3x − 7 = 29, what is x? (a) 12 (b) 11 (c) 13 (d) 36
  39. 39.If x/4 + 11 = 13, what is x? (a) 96 (b) 8 (c) 41 (d) 2
  40. 40.If x/3 + 11 = 21, what is x? (a) 52 (b) 10 (c) 96 (d) 30

Answer key

  1. 5
  2. 14
  3. 8
  4. 11
  5. 9
  6. 10
  7. 40
  8. 15
  9. 60
  10. 15
  11. 10
  12. 72
  13. 5
  14. 2
  15. 13
  16. 16
  17. 45
  18. 2
  19. 3
  20. 8
  21. 3
  22. 15
  23. 24
  24. 15
  25. 55
  26. 4
  27. 11
  28. 5
  29. 12
  30. 7
  31. 13
  32. 3
  33. 14
  34. 3
  35. 12
  36. 11
  37. 18
  38. 12
  39. 8
  40. 30

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