← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 522 · 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 x/4 + 1 = 12, what is x? (a) 47 (b) 52 (c) 11 (d) 44
  2. 2.If x/4 + 2 = 8, what is x? (a) 30 (b) 6 (c) 24 (d) 40
  3. 3.If 5x + 3 = 3x + 25, what is x? (a) 13 (b) 14 (c) 12 (d) 11
  4. 4.If x/4 + 10 = 22, what is x? (a) 128 (b) 12 (c) 78 (d) 48
  5. 5.If 7x + 25 = 53, what is x? (a) 28 (b) 4 (c) 5 (d) 3
  6. 6.If 8x + 3 = 2x + 63, what is x? (a) 6 (b) 11 (c) 12 (d) 10
  7. 7.If 9x − 89 = 28, what is x? (a) 12 (b) 14 (c) 117 (d) 13
  8. 8.If x/6 + 14 = 17, what is x? (a) 186 (b) 3 (c) 18 (d) 88
  9. 9.If x/5 + 3 = 8, what is x? (a) 55 (b) 25 (c) 5 (d) 37
  10. 10.If 7x + 18 = 39, what is x? (a) 21 (b) 3 (c) 4 (d) 2
  11. 11.If 6x + 2 = x + 32, what is x? (a) 8 (b) 7 (c) 5 (d) 6
  12. 12.If 3x + 11 = 41, what is x? (a) 10 (b) 9 (c) 30 (d) 11
  13. 13.If 9x + 3 = 30, what is x? (a) 4 (b) 27 (c) 2 (d) 3
  14. 14.If 5x + 5 = x + 37, what is x? (a) 9 (b) 7 (c) 8 (d) 10
  15. 15.If 3x + 23 = 32, what is x? (a) 3 (b) 2 (c) 9 (d) 4
  16. 16.If 5x + 2 = x + 10, what is x? (a) 4 (b) 2 (c) 3 (d) 1
  17. 17.If 3x + 28 = 61, what is x? (a) 10 (b) 12 (c) 33 (d) 11
  18. 18.If 6x + 9 = x + 49, what is x? (a) 7 (b) 8 (c) 9 (d) 10
  19. 19.If 3x − 9 = 6, what is x? (a) 4 (b) 6 (c) 15 (d) 5
  20. 20.If 4x + 5 = 33, what is x? (a) 7 (b) 8 (c) 6 (d) 28
  21. 21.If x/4 + 3 = 13, what is x? (a) 40 (b) 49 (c) 10 (d) 64
  22. 22.If 6x + 24 = 72, what is x? (a) 8 (b) 16 (c) 9 (d) 48
  23. 23.If x/4 + 4 = 14, what is x? (a) 52 (b) 10 (c) 40 (d) 72
  24. 24.If 8x + 12 = 7x + 16, what is x? (a) 28 (b) 5 (c) 6 (d) 4
  25. 25.If 4x − 4 = 4, what is x? (a) 3 (b) 8 (c) 1 (d) 2
  26. 26.If 4x + 14 = 42, what is x? (a) 7 (b) 14 (c) 8 (d) 28
  27. 27.If 7x + 9 = 79, what is x? (a) 9 (b) 11 (c) 10 (d) 70
  28. 28.If 5x − 4 = 21, what is x? (a) 25 (b) 4 (c) 5 (d) 6
  29. 29.If 6x + 14 = 38, what is x? (a) 4 (b) 3 (c) 24 (d) 5
  30. 30.If 4x − 26 = 10, what is x? (a) 8 (b) 9 (c) 10 (d) 36
  31. 31.If x/2 + 5 = 14, what is x? (a) 38 (b) 23 (c) 9 (d) 18
  32. 32.If x/4 + 3 = 7, what is x? (a) 4 (b) 25 (c) 40 (d) 16
  33. 33.If 4x + 13 = 25, what is x? (a) 3 (b) 4 (c) 12 (d) 2
  34. 34.If 4x − 39 = 5, what is x? (a) 12 (b) 44 (c) 11 (d) 10
  35. 35.If x/3 + 5 = 9, what is x? (a) 22 (b) 4 (c) 12 (d) 42
  36. 36.If 9x − 34 = 65, what is x? (a) 12 (b) 10 (c) 99 (d) 11
  37. 37.If x/2 + 1 = 9, what is x? (a) 16 (b) 20 (c) 17 (d) 8
  38. 38.If 3x + 28 = 34, what is x? (a) 6 (b) 2 (c) 1 (d) 3
  39. 39.If 8x − 17 = 23, what is x? (a) 6 (b) 40 (c) 5 (d) 4
  40. 40.If 6x − 16 = 2, what is x? (a) 4 (b) 2 (c) 18 (d) 3

Answer key

  1. 44
  2. 24
  3. 11
  4. 48
  5. 4
  6. 10
  7. 13
  8. 18
  9. 25
  10. 3
  11. 6
  12. 10
  13. 3
  14. 8
  15. 3
  16. 2
  17. 11
  18. 8
  19. 5
  20. 7
  21. 40
  22. 8
  23. 40
  24. 4
  25. 2
  26. 7
  27. 10
  28. 5
  29. 4
  30. 9
  31. 18
  32. 16
  33. 3
  34. 11
  35. 12
  36. 11
  37. 16
  38. 2
  39. 5
  40. 3

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