← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 230 · 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 4x + 27 = 59, what is x? (a) 8 (b) 7 (c) 32 (d) 9
  2. 2.If 6x + 18 = x + 28, what is x? (a) 2 (b) 4 (c) 3 (d) 1
  3. 3.If 2x + 22 = 28, what is x? (a) 4 (b) 25 (c) 3 (d) 6
  4. 4.If 9x + 19 = 64, what is x? (a) 6 (b) 5 (c) 45 (d) 4
  5. 5.If 3x − 14 = 1, what is x? (a) 6 (b) 15 (c) 4 (d) 5
  6. 6.If 3x + 17 = x + 39, what is x? (a) 28 (b) 12 (c) 13 (d) 11
  7. 7.If 4x − 9 = 19, what is x? (a) 6 (b) 28 (c) 7 (d) 8
  8. 8.If x/2 + 15 = 21, what is x? (a) 6 (b) 72 (c) 12 (d) 27
  9. 9.If 3x + 20 = 62, what is x? (a) 42 (b) 15 (c) 13 (d) 14
  10. 10.If x/5 + 15 = 23, what is x? (a) 190 (b) 40 (c) 100 (d) 8
  11. 11.If 6x − 3 = 9, what is x? (a) 3 (b) 2 (c) 12 (d) 1
  12. 12.If 8x + 6 = 4x + 50, what is x? (a) 12 (b) 13 (c) 11 (d) 14
  13. 13.If x/2 + 5 = 7, what is x? (a) 24 (b) 4 (c) 9 (d) 2
  14. 14.If 8x + 25 = 97, what is x? (a) 10 (b) 72 (c) 9 (d) 8
  15. 15.If 3x − 23 = 1, what is x? (a) 7 (b) 9 (c) 24 (d) 8
  16. 16.If 9x − 76 = 41, what is x? (a) 117 (b) 14 (c) 13 (d) 12
  17. 17.If 4x − 10 = 18, what is x? (a) 28 (b) 8 (c) 2 (d) 7
  18. 18.If 4x − 26 = 26, what is x? (a) 52 (b) 14 (c) 12 (d) 13
  19. 19.If x/5 + 4 = 15, what is x? (a) 55 (b) 71 (c) 95 (d) 11
  20. 20.If 8x − 15 = 25, what is x? (a) 40 (b) 6 (c) 4 (d) 5
  21. 21.If 8x + 17 = 3x + 42, what is x? (a) 7 (b) 5 (c) 6 (d) 4
  22. 22.If x/3 + 12 = 22, what is x? (a) 10 (b) 102 (c) 30 (d) 54
  23. 23.If 6x + 8 = x + 33, what is x? (a) 6 (b) 4 (c) 5 (d) 7
  24. 24.If 9x − 4 = 14, what is x? (a) 18 (b) 1 (c) 3 (d) 2
  25. 25.If 5x − 14 = 1, what is x? (a) 4 (b) 2 (c) 3 (d) 15
  26. 26.If 2x − 23 = 3, what is x? (a) 26 (b) 13 (c) 12 (d) 14
  27. 27.If 3x + 25 = 52, what is x? (a) 10 (b) 27 (c) 8 (d) 9
  28. 28.If 9x − 62 = 28, what is x? (a) 10 (b) 9 (c) 11 (d) 90
  29. 29.If 7x + 5 = 110, what is x? (a) 15 (b) 14 (c) 105 (d) 16
  30. 30.If 6x + 16 = 82, what is x? (a) 10 (b) 66 (c) 12 (d) 11
  31. 31.If 8x − 15 = 9, what is x? (a) 4 (b) 2 (c) 24 (d) 3
  32. 32.If 2x − 13 = 5, what is x? (a) 18 (b) 8 (c) 10 (d) 9
  33. 33.If x/3 + 8 = 13, what is x? (a) 31 (b) 5 (c) 15 (d) 63
  34. 34.If 4x + 24 = 36, what is x? (a) 12 (b) 15 (c) 4 (d) 3
  35. 35.If x/5 + 12 = 15, what is x? (a) 63 (b) 3 (c) 135 (d) 15
  36. 36.If 3x + 5 = 11, what is x? (a) 1 (b) 3 (c) 6 (d) 2
  37. 37.If 6x − 42 = 42, what is x? (a) 84 (b) 13 (c) 15 (d) 14
  38. 38.If 3x − 9 = 27, what is x? (a) 12 (b) 6 (c) 36 (d) 13
  39. 39.If 5x − 17 = 23, what is x? (a) 8 (b) 7 (c) 40 (d) 9
  40. 40.If 7x + 7 = 28, what is x? (a) 4 (b) 3 (c) 21 (d) 5

Answer key

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

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