← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 115 · 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/6 + 2 = 9, what is x? (a) 42 (b) 52 (c) 66 (d) 7
  2. 2.If 2x − 17 = 7, what is x? (a) 12 (b) 11 (c) 24 (d) 13
  3. 3.If 7x + 9 = 6x + 13, what is x? (a) 5 (b) 6 (c) 4 (d) 22
  4. 4.If 4x − 4 = 8, what is x? (a) 12 (b) 4 (c) 1 (d) 3
  5. 5.If 5x − 13 = 37, what is x? (a) 10 (b) 9 (c) 11 (d) 50
  6. 6.If 6x + 26 = 98, what is x? (a) 13 (b) 11 (c) 72 (d) 12
  7. 7.If 2x − 2 = 2, what is x? (a) 2 (b) 1 (c) 3 (d) 4
  8. 8.If x/6 + 3 = 10, what is x? (a) 42 (b) 57 (c) 78 (d) 7
  9. 9.If x/4 + 10 = 17, what is x? (a) 7 (b) 58 (c) 28 (d) 108
  10. 10.If x/3 + 11 = 13, what is x? (a) 28 (b) 6 (c) 72 (d) 2
  11. 11.If 2x + 3 = 33, what is x? (a) 18 (b) 30 (c) 16 (d) 15
  12. 12.If x/3 + 11 = 23, what is x? (a) 12 (b) 58 (c) 102 (d) 36
  13. 13.If 4x + 2 = 3x + 4, what is x? (a) 4 (b) 3 (c) 6 (d) 2
  14. 14.If 5x + 3 = 48, what is x? (a) 10 (b) 9 (c) 45 (d) 8
  15. 15.If x/2 + 2 = 8, what is x? (a) 14 (b) 12 (c) 6 (d) 20
  16. 16.If x/5 + 5 = 14, what is x? (a) 65 (b) 45 (c) 9 (d) 95
  17. 17.If 3x + 19 = x + 35, what is x? (a) 9 (b) 4 (c) 8 (d) 27
  18. 18.If 2x − 4 = 18, what is x? (a) 12 (b) 11 (c) 7 (d) 22
  19. 19.If 6x + 12 = 78, what is x? (a) 12 (b) 11 (c) 66 (d) 15
  20. 20.If 8x + 14 = 2x + 68, what is x? (a) 9 (b) 10 (c) 11 (d) 8
  21. 21.If 5x + 14 = 4x + 23, what is x? (a) 37 (b) 10 (c) 1 (d) 9
  22. 22.If x/6 + 4 = 9, what is x? (a) 50 (b) 5 (c) 30 (d) 78
  23. 23.If 6x + 12 = 96, what is x? (a) 18 (b) 15 (c) 84 (d) 14
  24. 24.If 2x − 12 = 2, what is x? (a) 8 (b) 7 (c) 6 (d) 14
  25. 25.If 8x + 8 = 7x + 14, what is x? (a) 7 (b) 6 (c) 8 (d) 22
  26. 26.If 7x + 28 = 63, what is x? (a) 13 (b) 6 (c) 35 (d) 5
  27. 27.If x/4 + 2 = 8, what is x? (a) 30 (b) 24 (c) 6 (d) 40
  28. 28.If 6x + 15 = 81, what is x? (a) 12 (b) 66 (c) 16 (d) 11
  29. 29.If x/3 + 6 = 9, what is x? (a) 3 (b) 21 (c) 9 (d) 45
  30. 30.If 4x − 13 = 11, what is x? (a) 7 (b) 24 (c) 5 (d) 6
  31. 31.If x/3 + 4 = 13, what is x? (a) 9 (b) 35 (c) 51 (d) 27
  32. 32.If x/2 + 1 = 6, what is x? (a) 5 (b) 11 (c) 10 (d) 14
  33. 33.If 7x + 5 = x + 53, what is x? (a) 10 (b) 9 (c) 8 (d) 6
  34. 34.If x/4 + 8 = 14, what is x? (a) 48 (b) 88 (c) 24 (d) 6
  35. 35.If 8x + 7 = 31, what is x? (a) 3 (b) 2 (c) 4 (d) 24
  36. 36.If x/3 + 13 = 23, what is x? (a) 56 (b) 108 (c) 10 (d) 30
  37. 37.If 9x − 104 = 13, what is x? (a) 14 (b) 13 (c) 12 (d) 117
  38. 38.If 3x − 16 = 17, what is x? (a) 33 (b) 11 (c) 10 (d) 12
  39. 39.If x/2 + 9 = 21, what is x? (a) 60 (b) 12 (c) 33 (d) 24
  40. 40.If 6x + 3 = 2x + 11, what is x? (a) 1 (b) 2 (c) 4 (d) 3

Answer key

  1. 42
  2. 12
  3. 4
  4. 3
  5. 10
  6. 12
  7. 2
  8. 42
  9. 28
  10. 6
  11. 15
  12. 36
  13. 2
  14. 9
  15. 12
  16. 45
  17. 8
  18. 11
  19. 11
  20. 9
  21. 9
  22. 30
  23. 14
  24. 7
  25. 6
  26. 5
  27. 24
  28. 11
  29. 9
  30. 6
  31. 27
  32. 10
  33. 8
  34. 24
  35. 3
  36. 30
  37. 13
  38. 11
  39. 24
  40. 2

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