← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 910 · 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/2 + 11 = 22, what is x? (a) 33 (b) 11 (c) 66 (d) 22
  2. 2.If 7x + 14 = 3x + 26, what is x? (a) 10 (b) 5 (c) 4 (d) 3
  3. 3.If 6x + 30 = 72, what is x? (a) 42 (b) 8 (c) 7 (d) 17
  4. 4.If 5x − 33 = 7, what is x? (a) 9 (b) 8 (c) 7 (d) 40
  5. 5.If 9x + 13 = 2x + 48, what is x? (a) 4 (b) 6 (c) 7 (d) 5
  6. 6.If 2x − 15 = 9, what is x? (a) 11 (b) 12 (c) 13 (d) 24
  7. 7.If 8x − 5 = 91, what is x? (a) 11 (b) 96 (c) 12 (d) 13
  8. 8.If 3x + 1 = 2x + 5, what is x? (a) 5 (b) 4 (c) 6 (d) 3
  9. 9.If 5x + 5 = x + 21, what is x? (a) 3 (b) 4 (c) 5 (d) 6
  10. 10.If 4x − 15 = 5, what is x? (a) 4 (b) 5 (c) 6 (d) 20
  11. 11.If 5x − 10 = 10, what is x? (a) 5 (b) 20 (c) 4 (d) 3
  12. 12.If 8x + 10 = 114, what is x? (a) 12 (b) 14 (c) 13 (d) 104
  13. 13.If 9x − 46 = 53, what is x? (a) 11 (b) 10 (c) 12 (d) 99
  14. 14.If 5x − 7 = 3, what is x? (a) 3 (b) 10 (c) 2 (d) 1
  15. 15.If 2x + 12 = 36, what is x? (a) 11 (b) 12 (c) 13 (d) 24
  16. 16.If x/2 + 3 = 5, what is x? (a) 16 (b) 4 (c) 2 (d) 7
  17. 17.If 4x + 11 = 2x + 31, what is x? (a) 21 (b) 11 (c) 12 (d) 10
  18. 18.If x/6 + 8 = 19, what is x? (a) 11 (b) 162 (c) 106 (d) 66
  19. 19.If 5x − 28 = 22, what is x? (a) 9 (b) 50 (c) 10 (d) 11
  20. 20.If 9x + 16 = 8x + 22, what is x? (a) 7 (b) 38 (c) 6 (d) 8
  21. 21.If 6x + 19 = 79, what is x? (a) 11 (b) 9 (c) 60 (d) 10
  22. 22.If 6x + 6 = x + 26, what is x? (a) 6 (b) 3 (c) 5 (d) 4
  23. 23.If 6x + 10 = 3x + 22, what is x? (a) 3 (b) 6 (c) 5 (d) 4
  24. 24.If 7x − 40 = 23, what is x? (a) 8 (b) 10 (c) 63 (d) 9
  25. 25.If 7x + 17 = 3x + 45, what is x? (a) 9 (b) 6 (c) 7 (d) 8
  26. 26.If x/2 + 12 = 22, what is x? (a) 20 (b) 32 (c) 10 (d) 68
  27. 27.If x/2 + 7 = 17, what is x? (a) 48 (b) 20 (c) 10 (d) 27
  28. 28.If 6x + 21 = 75, what is x? (a) 9 (b) 16 (c) 54 (d) 10
  29. 29.If x/6 + 8 = 14, what is x? (a) 132 (b) 36 (c) 6 (d) 76
  30. 30.If 4x − 7 = 17, what is x? (a) 7 (b) 24 (c) 5 (d) 6
  31. 31.If x/2 + 1 = 7, what is x? (a) 6 (b) 13 (c) 16 (d) 12
  32. 32.If 4x + 21 = 33, what is x? (a) 12 (b) 4 (c) 3 (d) 2
  33. 33.If 2x + 20 = 44, what is x? (a) 32 (b) 24 (c) 12 (d) 13
  34. 34.If 4x + 25 = 45, what is x? (a) 20 (b) 4 (c) 6 (d) 5
  35. 35.If x/6 + 6 = 15, what is x? (a) 9 (b) 84 (c) 54 (d) 126
  36. 36.If 5x + 14 = 4x + 25, what is x? (a) 11 (b) 39 (c) 13 (d) 12
  37. 37.If x/3 + 9 = 12, what is x? (a) 63 (b) 9 (c) 27 (d) 3
  38. 38.If 8x + 2 = 90, what is x? (a) 12 (b) 88 (c) 11 (d) 10
  39. 39.If 6x + 3 = 21, what is x? (a) 18 (b) 4 (c) 2 (d) 3
  40. 40.If 6x + 16 = 4x + 18, what is x? (a) 1 (b) 3 (c) 2 (d) 17

Answer key

  1. 22
  2. 3
  3. 7
  4. 8
  5. 5
  6. 12
  7. 12
  8. 4
  9. 4
  10. 5
  11. 4
  12. 13
  13. 11
  14. 2
  15. 12
  16. 4
  17. 10
  18. 66
  19. 10
  20. 6
  21. 10
  22. 4
  23. 4
  24. 9
  25. 7
  26. 20
  27. 20
  28. 9
  29. 36
  30. 6
  31. 12
  32. 3
  33. 12
  34. 5
  35. 54
  36. 11
  37. 9
  38. 11
  39. 3
  40. 1

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