← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 772 · 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 − 14 = 1, what is x? (a) 4 (b) 3 (c) 2 (d) 15
  2. 2.If 9x − 5 = 31, what is x? (a) 5 (b) 4 (c) 36 (d) 3
  3. 3.If 7x − 2 = 89, what is x? (a) 14 (b) 13 (c) 91 (d) 12
  4. 4.If 8x + 17 = 57, what is x? (a) 40 (b) 4 (c) 6 (d) 5
  5. 5.If x/2 + 6 = 12, what is x? (a) 12 (b) 6 (c) 18 (d) 36
  6. 6.If 6x + 6 = 2x + 54, what is x? (a) 6 (b) 12 (c) 15 (d) 13
  7. 7.If 9x + 6 = 87, what is x? (a) 81 (b) 9 (c) 10 (d) 8
  8. 8.If 8x + 10 = 74, what is x? (a) 9 (b) 7 (c) 8 (d) 64
  9. 9.If 4x − 23 = 13, what is x? (a) 36 (b) 8 (c) 9 (d) 10
  10. 10.If 2x + 27 = 55, what is x? (a) 15 (b) 41 (c) 14 (d) 28
  11. 11.If 7x − 30 = 12, what is x? (a) 7 (b) 6 (c) 5 (d) 42
  12. 12.If 3x + 10 = x + 12, what is x? (a) 1 (b) 2 (c) 11 (d) 3
  13. 13.If x/5 + 9 = 14, what is x? (a) 61 (b) 115 (c) 25 (d) 5
  14. 14.If 9x − 6 = 12, what is x? (a) 3 (b) 1 (c) 2 (d) 18
  15. 15.If 3x + 11 = 2x + 22, what is x? (a) 13 (b) 12 (c) 11 (d) 33
  16. 16.If 8x + 15 = x + 36, what is x? (a) 5 (b) 3 (c) 4 (d) 2
  17. 17.If x/2 + 11 = 18, what is x? (a) 7 (b) 25 (c) 58 (d) 14
  18. 18.If x/6 + 11 = 18, what is x? (a) 42 (b) 174 (c) 7 (d) 97
  19. 19.If 2x − 1 = 7, what is x? (a) 4 (b) 8 (c) 5 (d) 3
  20. 20.If 6x − 88 = 2, what is x? (a) 90 (b) 14 (c) 16 (d) 15
  21. 21.If x/2 + 3 = 10, what is x? (a) 7 (b) 26 (c) 17 (d) 14
  22. 22.If 6x − 14 = 4, what is x? (a) 4 (b) 2 (c) 18 (d) 3
  23. 23.If 9x − 82 = 17, what is x? (a) 99 (b) 12 (c) 10 (d) 11
  24. 24.If 7x − 15 = 76, what is x? (a) 14 (b) 13 (c) 12 (d) 91
  25. 25.If 8x + 20 = 5x + 50, what is x? (a) 12 (b) 10 (c) 11 (d) 9
  26. 26.If 2x + 11 = 17, what is x? (a) 4 (b) 3 (c) 14 (d) 6
  27. 27.If 9x − 4 = 14, what is x? (a) 18 (b) 3 (c) 1 (d) 2
  28. 28.If x/5 + 1 = 11, what is x? (a) 54 (b) 50 (c) 60 (d) 10
  29. 29.If x/4 + 9 = 13, what is x? (a) 88 (b) 16 (c) 4 (d) 43
  30. 30.If x/5 + 7 = 12, what is x? (a) 5 (b) 53 (c) 25 (d) 95
  31. 31.If x/4 + 6 = 18, what is x? (a) 12 (b) 96 (c) 66 (d) 48
  32. 32.If 8x + 3 = 5x + 9, what is x? (a) 1 (b) 4 (c) 2 (d) 3
  33. 33.If x/5 + 11 = 22, what is x? (a) 165 (b) 55 (c) 99 (d) 11
  34. 34.If 9x − 26 = 1, what is x? (a) 2 (b) 4 (c) 3 (d) 27
  35. 35.If 8x + 10 = 3x + 55, what is x? (a) 13 (b) 10 (c) 9 (d) 11
  36. 36.If 6x + 11 = 2x + 47, what is x? (a) 11 (b) 9 (c) 10 (d) 8
  37. 37.If 5x − 39 = 26, what is x? (a) 13 (b) 12 (c) 14 (d) 65
  38. 38.If 8x + 7 = 79, what is x? (a) 8 (b) 72 (c) 10 (d) 9
  39. 39.If 2x + 13 = 17, what is x? (a) 4 (b) 15 (c) 3 (d) 2
  40. 40.If 4x + 18 = 42, what is x? (a) 7 (b) 24 (c) 15 (d) 6

Answer key

  1. 3
  2. 4
  3. 13
  4. 5
  5. 12
  6. 12
  7. 9
  8. 8
  9. 9
  10. 14
  11. 6
  12. 1
  13. 25
  14. 2
  15. 11
  16. 3
  17. 14
  18. 42
  19. 4
  20. 15
  21. 14
  22. 3
  23. 11
  24. 13
  25. 10
  26. 3
  27. 2
  28. 50
  29. 16
  30. 25
  31. 48
  32. 2
  33. 55
  34. 3
  35. 9
  36. 9
  37. 13
  38. 9
  39. 2
  40. 6

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