← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 339 · 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 − 21 = 9, what is x? (a) 11 (b) 9 (c) 30 (d) 10
  2. 2.If x/3 + 4 = 9, what is x? (a) 23 (b) 15 (c) 39 (d) 5
  3. 3.If 2x + 30 = 58, what is x? (a) 15 (b) 44 (c) 28 (d) 14
  4. 4.If 9x + 1 = 7x + 13, what is x? (a) 8 (b) 5 (c) 6 (d) 7
  5. 5.If x/2 + 9 = 17, what is x? (a) 25 (b) 16 (c) 8 (d) 52
  6. 6.If 8x + 22 = 102, what is x? (a) 11 (b) 80 (c) 10 (d) 9
  7. 7.If 5x + 7 = 2x + 25, what is x? (a) 7 (b) 8 (c) 6 (d) 5
  8. 8.If 8x − 43 = 29, what is x? (a) 72 (b) 10 (c) 9 (d) 8
  9. 9.If x/2 + 12 = 20, what is x? (a) 64 (b) 16 (c) 8 (d) 28
  10. 10.If 5x + 26 = 76, what is x? (a) 50 (b) 11 (c) 10 (d) 9
  11. 11.If x/2 + 1 = 12, what is x? (a) 11 (b) 23 (c) 26 (d) 22
  12. 12.If 2x − 3 = 7, what is x? (a) 10 (b) 5 (c) 6 (d) 2
  13. 13.If 6x − 51 = 21, what is x? (a) 11 (b) 72 (c) 12 (d) 13
  14. 14.If 7x − 26 = 16, what is x? (a) 42 (b) 6 (c) 5 (d) 7
  15. 15.If x/3 + 13 = 16, what is x? (a) 3 (b) 87 (c) 9 (d) 35
  16. 16.If 4x + 7 = 39, what is x? (a) 9 (b) 32 (c) 7 (d) 8
  17. 17.If 3x + 16 = 28, what is x? (a) 5 (b) 3 (c) 12 (d) 4
  18. 18.If 5x − 16 = 9, what is x? (a) 25 (b) 4 (c) 6 (d) 5
  19. 19.If x/6 + 3 = 5, what is x? (a) 48 (b) 12 (c) 2 (d) 27
  20. 20.If 2x + 21 = 33, what is x? (a) 7 (b) 12 (c) 6 (d) 27
  21. 21.If x/2 + 15 = 24, what is x? (a) 9 (b) 18 (c) 33 (d) 78
  22. 22.If 2x − 2 = 2, what is x? (a) 2 (b) 4 (c) 3 (d) 1
  23. 23.If 7x + 30 = 65, what is x? (a) 5 (b) 4 (c) 35 (d) 6
  24. 24.If 2x − 17 = 7, what is x? (a) 11 (b) 24 (c) 12 (d) 13
  25. 25.If 7x + 19 = 75, what is x? (a) 56 (b) 9 (c) 8 (d) 7
  26. 26.If 9x − 25 = 11, what is x? (a) 5 (b) 36 (c) 4 (d) 3
  27. 27.If 4x − 12 = 4, what is x? (a) 4 (b) 5 (c) 3 (d) 16
  28. 28.If 8x + 15 = 2x + 69, what is x? (a) 9 (b) 10 (c) 11 (d) 14
  29. 29.If 7x + 5 = 2x + 20, what is x? (a) 4 (b) 2 (c) 5 (d) 3
  30. 30.If 9x − 29 = 97, what is x? (a) 13 (b) 126 (c) 15 (d) 14
  31. 31.If 7x + 19 = 96, what is x? (a) 10 (b) 12 (c) 11 (d) 77
  32. 32.If 5x + 30 = 70, what is x? (a) 40 (b) 20 (c) 9 (d) 8
  33. 33.If 6x + 9 = 93, what is x? (a) 15 (b) 17 (c) 84 (d) 14
  34. 34.If 9x − 78 = 21, what is x? (a) 11 (b) 12 (c) 99 (d) 10
  35. 35.If x/6 + 15 = 18, what is x? (a) 18 (b) 198 (c) 93 (d) 3
  36. 36.If x/3 + 9 = 11, what is x? (a) 6 (b) 60 (c) 24 (d) 2
  37. 37.If 6x + 12 = 3x + 30, what is x? (a) 7 (b) 2 (c) 14 (d) 6
  38. 38.If x/2 + 4 = 6, what is x? (a) 2 (b) 4 (c) 20 (d) 8
  39. 39.If 7x + 9 = 37, what is x? (a) 4 (b) 28 (c) 5 (d) 3
  40. 40.If x/5 + 8 = 14, what is x? (a) 30 (b) 62 (c) 110 (d) 6

Answer key

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

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