← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 132 · 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 + 10 = 2x + 15, what is x? (a) 5 (b) 6 (c) 1 (d) 25
  2. 2.If 2x + 11 = 39, what is x? (a) 25 (b) 15 (c) 28 (d) 14
  3. 3.If 7x + 18 = 95, what is x? (a) 12 (b) 11 (c) 77 (d) 10
  4. 4.If 8x + 28 = 84, what is x? (a) 7 (b) 8 (c) 56 (d) 14
  5. 5.If x/5 + 2 = 5, what is x? (a) 3 (b) 23 (c) 15 (d) 35
  6. 6.If x/2 + 9 = 18, what is x? (a) 9 (b) 27 (c) 18 (d) 54
  7. 7.If 5x + 6 = x + 34, what is x? (a) 8 (b) 10 (c) 7 (d) 9
  8. 8.If x/3 + 4 = 10, what is x? (a) 6 (b) 18 (c) 42 (d) 26
  9. 9.If x/2 + 10 = 13, what is x? (a) 6 (b) 16 (c) 46 (d) 3
  10. 10.If 8x − 26 = 62, what is x? (a) 10 (b) 12 (c) 88 (d) 11
  11. 11.If 7x − 50 = 27, what is x? (a) 10 (b) 77 (c) 12 (d) 11
  12. 12.If 6x − 4 = 26, what is x? (a) 4 (b) 6 (c) 5 (d) 30
  13. 13.If x/2 + 4 = 8, what is x? (a) 8 (b) 12 (c) 4 (d) 24
  14. 14.If x/3 + 15 = 18, what is x? (a) 3 (b) 99 (c) 39 (d) 9
  15. 15.If 8x + 6 = 4x + 26, what is x? (a) 6 (b) 7 (c) 8 (d) 5
  16. 16.If x/3 + 11 = 17, what is x? (a) 40 (b) 84 (c) 18 (d) 6
  17. 17.If x/3 + 12 = 22, what is x? (a) 54 (b) 10 (c) 30 (d) 102
  18. 18.If 5x + 1 = 71, what is x? (a) 70 (b) 15 (c) 13 (d) 14
  19. 19.If 8x − 6 = 74, what is x? (a) 9 (b) 10 (c) 80 (d) 11
  20. 20.If x/6 + 14 = 17, what is x? (a) 88 (b) 3 (c) 18 (d) 186
  21. 21.If 2x + 19 = 25, what is x? (a) 6 (b) 22 (c) 4 (d) 3
  22. 22.If 3x + 29 = 71, what is x? (a) 13 (b) 15 (c) 42 (d) 14
  23. 23.If x/2 + 9 = 13, what is x? (a) 44 (b) 17 (c) 8 (d) 4
  24. 24.If 2x − 12 = 8, what is x? (a) 10 (b) 9 (c) 11 (d) 20
  25. 25.If 3x − 3 = 9, what is x? (a) 2 (b) 12 (c) 5 (d) 4
  26. 26.If 8x + 23 = 47, what is x? (a) 2 (b) 24 (c) 4 (d) 3
  27. 27.If 7x − 17 = 46, what is x? (a) 10 (b) 8 (c) 63 (d) 9
  28. 28.If 3x − 1 = 5, what is x? (a) 3 (b) 1 (c) 2 (d) 6
  29. 29.If 3x + 13 = 52, what is x? (a) 14 (b) 13 (c) 39 (d) 12
  30. 30.If x/2 + 14 = 16, what is x? (a) 60 (b) 18 (c) 2 (d) 4
  31. 31.If 7x − 26 = 23, what is x? (a) 6 (b) 49 (c) 7 (d) 8
  32. 32.If 3x − 1 = 44, what is x? (a) 16 (b) 45 (c) 15 (d) 14
  33. 33.If 4x − 14 = 22, what is x? (a) 36 (b) 9 (c) 2 (d) 10
  34. 34.If 4x + 9 = 41, what is x? (a) 9 (b) 7 (c) 32 (d) 8
  35. 35.If 5x + 29 = 49, what is x? (a) 5 (b) 20 (c) 3 (d) 4
  36. 36.If x/4 + 8 = 11, what is x? (a) 36 (b) 12 (c) 76 (d) 3
  37. 37.If x/3 + 8 = 17, what is x? (a) 75 (b) 9 (c) 27 (d) 43
  38. 38.If 3x + 23 = 32, what is x? (a) 9 (b) 4 (c) 3 (d) 2
  39. 39.If 8x + 19 = 91, what is x? (a) 72 (b) 10 (c) 8 (d) 9
  40. 40.If x/4 + 6 = 12, what is x? (a) 24 (b) 6 (c) 72 (d) 42

Answer key

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

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