← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 768 · 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 2x − 11 = 11, what is x? (a) 12 (b) 22 (c) 10 (d) 11
  2. 2.If 2x − 9 = 5, what is x? (a) 8 (b) 14 (c) 6 (d) 7
  3. 3.If 7x + 1 = 29, what is x? (a) 5 (b) 3 (c) 28 (d) 4
  4. 4.If x/3 + 1 = 9, what is x? (a) 24 (b) 30 (c) 8 (d) 26
  5. 5.If 6x − 17 = 73, what is x? (a) 15 (b) 16 (c) 90 (d) 14
  6. 6.If 4x + 4 = 12, what is x? (a) 4 (b) 3 (c) 2 (d) 8
  7. 7.If x/3 + 9 = 12, what is x? (a) 27 (b) 3 (c) 63 (d) 9
  8. 8.If 8x + 3 = 115, what is x? (a) 112 (b) 13 (c) 15 (d) 14
  9. 9.If 6x + 3 = 5x + 11, what is x? (a) 10 (b) 14 (c) 8 (d) 9
  10. 10.If x/2 + 4 = 6, what is x? (a) 2 (b) 20 (c) 8 (d) 4
  11. 11.If x/4 + 7 = 14, what is x? (a) 28 (b) 84 (c) 49 (d) 7
  12. 12.If 6x + 15 = 45, what is x? (a) 30 (b) 5 (c) 10 (d) 6
  13. 13.If 3x + 1 = 2x + 6, what is x? (a) 1 (b) 7 (c) 6 (d) 5
  14. 14.If 6x − 12 = 6, what is x? (a) 2 (b) 3 (c) 4 (d) 18
  15. 15.If x/6 + 2 = 9, what is x? (a) 66 (b) 52 (c) 42 (d) 7
  16. 16.If x/3 + 1 = 7, what is x? (a) 18 (b) 6 (c) 24 (d) 20
  17. 17.If 7x − 8 = 69, what is x? (a) 10 (b) 77 (c) 11 (d) 12
  18. 18.If 5x + 11 = 76, what is x? (a) 65 (b) 12 (c) 13 (d) 14
  19. 19.If 6x + 13 = 2x + 53, what is x? (a) 5 (b) 10 (c) 11 (d) 12
  20. 20.If 5x + 6 = 31, what is x? (a) 6 (b) 25 (c) 5 (d) 4
  21. 21.If x/3 + 4 = 7, what is x? (a) 3 (b) 17 (c) 33 (d) 9
  22. 22.If 5x − 7 = 3, what is x? (a) 2 (b) 10 (c) 1 (d) 3
  23. 23.If 3x − 21 = 15, what is x? (a) 11 (b) 36 (c) 12 (d) 13
  24. 24.If x/3 + 2 = 10, what is x? (a) 8 (b) 24 (c) 36 (d) 28
  25. 25.If 4x + 3 = 23, what is x? (a) 6 (b) 5 (c) 20 (d) 4
  26. 26.If x/5 + 12 = 20, what is x? (a) 88 (b) 8 (c) 40 (d) 160
  27. 27.If 7x + 6 = 3x + 42, what is x? (a) 11 (b) 10 (c) 12 (d) 9
  28. 28.If x/6 + 12 = 19, what is x? (a) 7 (b) 42 (c) 102 (d) 186
  29. 29.If 4x + 9 = 45, what is x? (a) 10 (b) 9 (c) 36 (d) 8
  30. 30.If 2x − 8 = 14, what is x? (a) 11 (b) 12 (c) 3 (d) 22
  31. 31.If x/4 + 12 = 19, what is x? (a) 64 (b) 28 (c) 7 (d) 124
  32. 32.If 3x + 14 = 2x + 18, what is x? (a) 6 (b) 5 (c) 32 (d) 4
  33. 33.If x/2 + 4 = 7, what is x? (a) 22 (b) 3 (c) 6 (d) 10
  34. 34.If 7x + 25 = 53, what is x? (a) 4 (b) 3 (c) 5 (d) 28
  35. 35.If x/2 + 7 = 12, what is x? (a) 17 (b) 5 (c) 38 (d) 10
  36. 36.If 7x + 5 = 4x + 35, what is x? (a) 10 (b) 12 (c) 11 (d) 9
  37. 37.If 3x − 15 = 21, what is x? (a) 2 (b) 12 (c) 13 (d) 36
  38. 38.If 8x + 5 = 3x + 65, what is x? (a) 11 (b) 12 (c) 14 (d) 13
  39. 39.If 8x + 20 = 60, what is x? (a) 5 (b) 10 (c) 40 (d) 6
  40. 40.If x/6 + 15 = 25, what is x? (a) 240 (b) 135 (c) 10 (d) 60

Answer key

  1. 11
  2. 7
  3. 4
  4. 24
  5. 15
  6. 2
  7. 9
  8. 14
  9. 8
  10. 4
  11. 28
  12. 5
  13. 5
  14. 3
  15. 42
  16. 18
  17. 11
  18. 13
  19. 10
  20. 5
  21. 9
  22. 2
  23. 12
  24. 24
  25. 5
  26. 40
  27. 9
  28. 42
  29. 9
  30. 11
  31. 28
  32. 4
  33. 6
  34. 4
  35. 10
  36. 10
  37. 12
  38. 12
  39. 5
  40. 60

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