← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 966 · 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 x/5 + 1 = 3, what is x? (a) 20 (b) 10 (c) 14 (d) 2
  2. 2.If 6x + 8 = 74, what is x? (a) 66 (b) 12 (c) 11 (d) 10
  3. 3.If 4x + 12 = x + 33, what is x? (a) 9 (b) 7 (c) 8 (d) 15
  4. 4.If x/3 + 15 = 22, what is x? (a) 111 (b) 51 (c) 7 (d) 21
  5. 5.If 2x + 9 = 23, what is x? (a) 16 (b) 7 (c) 14 (d) 8
  6. 6.If 5x + 2 = 2x + 8, what is x? (a) 1 (b) 2 (c) 4 (d) 3
  7. 7.If 6x + 28 = 112, what is x? (a) 84 (b) 14 (c) 13 (d) 15
  8. 8.If 9x + 14 = 131, what is x? (a) 13 (b) 12 (c) 117 (d) 14
  9. 9.If 4x + 3 = 3x + 15, what is x? (a) 12 (b) 13 (c) 18 (d) 14
  10. 10.If 6x + 26 = 110, what is x? (a) 15 (b) 13 (c) 84 (d) 14
  11. 11.If 9x + 19 = 109, what is x? (a) 9 (b) 90 (c) 11 (d) 10
  12. 12.If 3x + 6 = x + 22, what is x? (a) 9 (b) 8 (c) 4 (d) 14
  13. 13.If 3x + 12 = 54, what is x? (a) 22 (b) 15 (c) 42 (d) 14
  14. 14.If 8x + 7 = 6x + 13, what is x? (a) 10 (b) 5 (c) 3 (d) 4
  15. 15.If 5x + 15 = 4x + 20, what is x? (a) 6 (b) 5 (c) 35 (d) 7
  16. 16.If 9x − 19 = 71, what is x? (a) 90 (b) 10 (c) 9 (d) 11
  17. 17.If 8x + 17 = 7x + 18, what is x? (a) 1 (b) 2 (c) 3 (d) 35
  18. 18.If 3x + 16 = 40, what is x? (a) 9 (b) 7 (c) 8 (d) 24
  19. 19.If x/3 + 5 = 15, what is x? (a) 40 (b) 30 (c) 10 (d) 60
  20. 20.If 3x + 26 = 50, what is x? (a) 7 (b) 8 (c) 24 (d) 9
  21. 21.If 6x + 8 = 2x + 28, what is x? (a) 7 (b) 6 (c) 9 (d) 5
  22. 22.If 4x − 3 = 21, what is x? (a) 24 (b) 7 (c) 6 (d) 5
  23. 23.If x/6 + 14 = 20, what is x? (a) 204 (b) 36 (c) 6 (d) 106
  24. 24.If x/3 + 2 = 14, what is x? (a) 40 (b) 48 (c) 36 (d) 12
  25. 25.If 3x + 9 = 18, what is x? (a) 4 (b) 3 (c) 2 (d) 9
  26. 26.If 7x + 17 = 3x + 61, what is x? (a) 11 (b) 10 (c) 13 (d) 12
  27. 27.If 7x − 49 = 49, what is x? (a) 13 (b) 14 (c) 15 (d) 98
  28. 28.If 7x + 7 = 98, what is x? (a) 91 (b) 15 (c) 14 (d) 13
  29. 29.If x/2 + 13 = 21, what is x? (a) 68 (b) 29 (c) 16 (d) 8
  30. 30.If 4x + 12 = 3x + 24, what is x? (a) 13 (b) 14 (c) 36 (d) 12
  31. 31.If 8x + 16 = 5x + 40, what is x? (a) 10 (b) 8 (c) 9 (d) 7
  32. 32.If 3x + 11 = 2x + 16, what is x? (a) 6 (b) 1 (c) 5 (d) 27
  33. 33.If x/3 + 5 = 8, what is x? (a) 19 (b) 39 (c) 3 (d) 9
  34. 34.If 3x + 10 = 34, what is x? (a) 9 (b) 7 (c) 24 (d) 8
  35. 35.If 2x + 19 = 37, what is x? (a) 9 (b) 28 (c) 18 (d) 10
  36. 36.If 2x − 1 = 7, what is x? (a) 5 (b) 3 (c) 4 (d) 8
  37. 37.If 3x + 24 = 42, what is x? (a) 7 (b) 22 (c) 6 (d) 18
  38. 38.If 9x − 78 = 3, what is x? (a) 8 (b) 9 (c) 10 (d) 81
  39. 39.If 7x + 6 = 6x + 12, what is x? (a) 7 (b) 6 (c) 18 (d) 8
  40. 40.If 5x − 5 = 65, what is x? (a) 12 (b) 70 (c) 15 (d) 14

Answer key

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

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