← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 21 · 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/5 + 4 = 10, what is x? (a) 30 (b) 46 (c) 6 (d) 70
  2. 2.If x/4 + 2 = 9, what is x? (a) 34 (b) 28 (c) 7 (d) 44
  3. 3.If x/3 + 11 = 19, what is x? (a) 24 (b) 46 (c) 8 (d) 90
  4. 4.If 3x + 19 = x + 31, what is x? (a) 7 (b) 25 (c) 6 (d) 3
  5. 5.If 3x − 5 = 31, what is x? (a) 12 (b) 13 (c) 36 (d) 11
  6. 6.If 3x − 7 = 8, what is x? (a) 6 (b) 5 (c) 4 (d) 15
  7. 7.If 7x + 25 = 130, what is x? (a) 105 (b) 15 (c) 14 (d) 16
  8. 8.If x/4 + 13 = 24, what is x? (a) 148 (b) 44 (c) 83 (d) 11
  9. 9.If 7x − 7 = 7, what is x? (a) 2 (b) 1 (c) 3 (d) 14
  10. 10.If 6x + 26 = 44, what is x? (a) 3 (b) 18 (c) 2 (d) 4
  11. 11.If 4x − 19 = 41, what is x? (a) 14 (b) 15 (c) 16 (d) 60
  12. 12.If x/4 + 13 = 18, what is x? (a) 5 (b) 124 (c) 59 (d) 20
  13. 13.If x/4 + 7 = 18, what is x? (a) 11 (b) 65 (c) 44 (d) 100
  14. 14.If 7x + 1 = 85, what is x? (a) 84 (b) 12 (c) 13 (d) 11
  15. 15.If 5x + 12 = 3x + 36, what is x? (a) 24 (b) 13 (c) 12 (d) 3
  16. 16.If x/4 + 2 = 4, what is x? (a) 24 (b) 8 (c) 2 (d) 14
  17. 17.If 4x − 2 = 6, what is x? (a) 3 (b) 8 (c) 1 (d) 2
  18. 18.If 6x + 12 = 5x + 14, what is x? (a) 3 (b) 26 (c) 4 (d) 2
  19. 19.If 3x + 6 = 27, what is x? (a) 7 (b) 21 (c) 11 (d) 8
  20. 20.If 9x + 12 = 4x + 22, what is x? (a) 1 (b) 2 (c) 3 (d) 4
  21. 21.If 6x + 28 = 94, what is x? (a) 66 (b) 12 (c) 11 (d) 10
  22. 22.If 3x + 9 = 2x + 12, what is x? (a) 4 (b) 5 (c) 3 (d) 21
  23. 23.If 2x − 15 = 5, what is x? (a) 11 (b) 20 (c) 9 (d) 10
  24. 24.If 5x − 6 = 9, what is x? (a) 2 (b) 15 (c) 3 (d) 4
  25. 25.If 5x + 15 = 3x + 21, what is x? (a) 5 (b) 4 (c) 18 (d) 3
  26. 26.If 3x + 5 = 47, what is x? (a) 42 (b) 13 (c) 14 (d) 15
  27. 27.If x/6 + 1 = 8, what is x? (a) 47 (b) 42 (c) 7 (d) 54
  28. 28.If 5x − 7 = 8, what is x? (a) 3 (b) 2 (c) 15 (d) 4
  29. 29.If 2x − 6 = 6, what is x? (a) 6 (b) 5 (c) 12 (d) 7
  30. 30.If x/5 + 2 = 7, what is x? (a) 5 (b) 45 (c) 25 (d) 33
  31. 31.If 2x + 4 = 30, what is x? (a) 26 (b) 14 (c) 17 (d) 13
  32. 32.If 2x + 4 = 22, what is x? (a) 18 (b) 9 (c) 13 (d) 10
  33. 33.If 9x + 11 = 56, what is x? (a) 4 (b) 6 (c) 5 (d) 45
  34. 34.If 5x + 19 = 29, what is x? (a) 10 (b) 3 (c) 2 (d) 1
  35. 35.If 8x + 10 = 2x + 22, what is x? (a) 4 (b) 3 (c) 1 (d) 2
  36. 36.If 2x − 3 = 21, what is x? (a) 13 (b) 24 (c) 9 (d) 12
  37. 37.If 7x + 14 = 4x + 50, what is x? (a) 14 (b) 13 (c) 12 (d) 11
  38. 38.If x/6 + 12 = 19, what is x? (a) 186 (b) 42 (c) 7 (d) 102
  39. 39.If 6x + 4 = 52, what is x? (a) 48 (b) 9 (c) 7 (d) 8
  40. 40.If 9x + 21 = 57, what is x? (a) 4 (b) 5 (c) 3 (d) 36

Answer key

  1. 30
  2. 28
  3. 24
  4. 6
  5. 12
  6. 5
  7. 15
  8. 44
  9. 2
  10. 3
  11. 15
  12. 20
  13. 44
  14. 12
  15. 12
  16. 8
  17. 2
  18. 2
  19. 7
  20. 2
  21. 11
  22. 3
  23. 10
  24. 3
  25. 3
  26. 14
  27. 42
  28. 3
  29. 6
  30. 25
  31. 13
  32. 9
  33. 5
  34. 2
  35. 2
  36. 12
  37. 12
  38. 42
  39. 8
  40. 4

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