← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 76 · 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 6x + 11 = x + 16, what is x? (a) 2 (b) 4 (c) 1 (d) 3
  2. 2.If x/3 + 3 = 7, what is x? (a) 30 (b) 18 (c) 4 (d) 12
  3. 3.If 3x + 9 = 2x + 13, what is x? (a) 4 (b) 22 (c) 6 (d) 5
  4. 4.If 3x + 30 = 42, what is x? (a) 5 (b) 4 (c) 12 (d) 24
  5. 5.If 5x + 14 = 2x + 50, what is x? (a) 12 (b) 14 (c) 13 (d) 11
  6. 6.If 9x + 9 = 90, what is x? (a) 11 (b) 81 (c) 10 (d) 9
  7. 7.If x/4 + 10 = 18, what is x? (a) 62 (b) 8 (c) 32 (d) 112
  8. 8.If 6x + 25 = 49, what is x? (a) 4 (b) 5 (c) 24 (d) 3
  9. 9.If 4x + 7 = 2x + 21, what is x? (a) 7 (b) 9 (c) 8 (d) 14
  10. 10.If x/5 + 10 = 18, what is x? (a) 40 (b) 8 (c) 80 (d) 140
  11. 11.If 2x + 2 = 10, what is x? (a) 5 (b) 8 (c) 4 (d) 6
  12. 12.If 6x − 30 = 42, what is x? (a) 2 (b) 12 (c) 72 (d) 13
  13. 13.If 2x + 28 = 58, what is x? (a) 16 (b) 15 (c) 30 (d) 43
  14. 14.If 5x + 8 = 2x + 38, what is x? (a) 11 (b) 9 (c) 12 (d) 10
  15. 15.If 5x + 17 = x + 61, what is x? (a) 12 (b) 11 (c) 10 (d) 13
  16. 16.If 7x − 16 = 40, what is x? (a) 8 (b) 9 (c) 7 (d) 56
  17. 17.If 7x − 2 = 75, what is x? (a) 11 (b) 10 (c) 12 (d) 77
  18. 18.If x/4 + 12 = 19, what is x? (a) 64 (b) 7 (c) 28 (d) 124
  19. 19.If x/4 + 2 = 12, what is x? (a) 40 (b) 46 (c) 56 (d) 10
  20. 20.If 9x + 13 = 121, what is x? (a) 108 (b) 12 (c) 13 (d) 11
  21. 21.If 9x − 46 = 26, what is x? (a) 8 (b) 9 (c) 7 (d) 72
  22. 22.If 4x − 2 = 6, what is x? (a) 3 (b) 2 (c) 8 (d) 1
  23. 23.If x/4 + 11 = 14, what is x? (a) 45 (b) 3 (c) 100 (d) 12
  24. 24.If 5x + 25 = 90, what is x? (a) 23 (b) 14 (c) 13 (d) 65
  25. 25.If 4x + 17 = 2x + 21, what is x? (a) 3 (b) 2 (c) 19 (d) 4
  26. 26.If 6x − 15 = 45, what is x? (a) 60 (b) 10 (c) 11 (d) 5
  27. 27.If 3x − 16 = 20, what is x? (a) 12 (b) 36 (c) 13 (d) 11
  28. 28.If 7x − 54 = 9, what is x? (a) 9 (b) 10 (c) 63 (d) 8
  29. 29.If x/5 + 9 = 13, what is x? (a) 56 (b) 110 (c) 20 (d) 4
  30. 30.If 8x + 14 = 86, what is x? (a) 10 (b) 8 (c) 9 (d) 72
  31. 31.If x/6 + 3 = 10, what is x? (a) 7 (b) 78 (c) 57 (d) 42
  32. 32.If 9x + 5 = 7x + 25, what is x? (a) 12 (b) 10 (c) 11 (d) 15
  33. 33.If 6x + 22 = 40, what is x? (a) 4 (b) 18 (c) 3 (d) 2
  34. 34.If 3x + 16 = x + 38, what is x? (a) 12 (b) 11 (c) 13 (d) 27
  35. 35.If 3x + 12 = 2x + 13, what is x? (a) 2 (b) 1 (c) 25 (d) 3
  36. 36.If 5x + 8 = 23, what is x? (a) 3 (b) 2 (c) 15 (d) 4
  37. 37.If 4x + 6 = x + 21, what is x? (a) 9 (b) 5 (c) 6 (d) 3
  38. 38.If 6x + 10 = x + 65, what is x? (a) 13 (b) 12 (c) 15 (d) 11
  39. 39.If 9x + 28 = 127, what is x? (a) 12 (b) 10 (c) 99 (d) 11
  40. 40.If 6x + 12 = 60, what is x? (a) 48 (b) 12 (c) 9 (d) 8

Answer key

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

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