← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 284 · 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 4x + 10 = 2x + 20, what is x? (a) 5 (b) 15 (c) 7 (d) 6
  2. 2.If 6x + 24 = 66, what is x? (a) 7 (b) 15 (c) 42 (d) 8
  3. 3.If 6x + 21 = 69, what is x? (a) 9 (b) 8 (c) 48 (d) 15
  4. 4.If 3x + 3 = x + 5, what is x? (a) 4 (b) 3 (c) 1 (d) 2
  5. 5.If 5x + 8 = 78, what is x? (a) 70 (b) 14 (c) 13 (d) 15
  6. 6.If 2x + 21 = 29, what is x? (a) 25 (b) 5 (c) 8 (d) 4
  7. 7.If 2x + 13 = 33, what is x? (a) 20 (b) 11 (c) 23 (d) 10
  8. 8.If x/3 + 15 = 19, what is x? (a) 12 (b) 4 (c) 102 (d) 42
  9. 9.If 5x + 3 = 4x + 14, what is x? (a) 17 (b) 13 (c) 12 (d) 11
  10. 10.If 4x + 16 = x + 25, what is x? (a) 4 (b) 5 (c) 3 (d) 2
  11. 11.If 8x + 12 = 5x + 24, what is x? (a) 4 (b) 5 (c) 6 (d) 12
  12. 12.If 7x + 23 = 114, what is x? (a) 12 (b) 13 (c) 14 (d) 91
  13. 13.If 4x − 3 = 41, what is x? (a) 12 (b) 44 (c) 10 (d) 11
  14. 14.If 6x + 7 = 4x + 17, what is x? (a) 12 (b) 1 (c) 6 (d) 5
  15. 15.If 9x − 35 = 37, what is x? (a) 9 (b) 72 (c) 7 (d) 8
  16. 16.If 3x − 2 = 4, what is x? (a) 1 (b) 6 (c) 3 (d) 2
  17. 17.If 5x + 8 = 73, what is x? (a) 12 (b) 65 (c) 13 (d) 14
  18. 18.If x/3 + 10 = 22, what is x? (a) 12 (b) 36 (c) 96 (d) 56
  19. 19.If 3x + 17 = x + 21, what is x? (a) 2 (b) 3 (c) 19 (d) 1
  20. 20.If x/4 + 14 = 17, what is x? (a) 54 (b) 3 (c) 12 (d) 124
  21. 21.If 9x + 19 = 37, what is x? (a) 2 (b) 1 (c) 18 (d) 3
  22. 22.If 4x − 2 = 18, what is x? (a) 20 (b) 5 (c) 6 (d) 4
  23. 23.If 7x + 29 = 64, what is x? (a) 5 (b) 4 (c) 35 (d) 6
  24. 24.If 4x − 18 = 26, what is x? (a) 44 (b) 12 (c) 2 (d) 11
  25. 25.If 2x + 26 = 54, what is x? (a) 40 (b) 28 (c) 14 (d) 15
  26. 26.If 6x + 2 = 80, what is x? (a) 78 (b) 13 (c) 12 (d) 14
  27. 27.If 4x + 9 = 17, what is x? (a) 2 (b) 1 (c) 8 (d) 3
  28. 28.If 6x + 27 = 57, what is x? (a) 14 (b) 30 (c) 6 (d) 5
  29. 29.If 3x − 6 = 24, what is x? (a) 6 (b) 30 (c) 11 (d) 10
  30. 30.If 4x + 7 = x + 31, what is x? (a) 8 (b) 10 (c) 9 (d) 7
  31. 31.If x/2 + 9 = 20, what is x? (a) 22 (b) 11 (c) 31 (d) 58
  32. 32.If 3x − 24 = 3, what is x? (a) 27 (b) 9 (c) 10 (d) 8
  33. 33.If x/4 + 8 = 10, what is x? (a) 72 (b) 2 (c) 8 (d) 32
  34. 34.If 6x + 8 = 2x + 12, what is x? (a) 3 (b) 5 (c) 1 (d) 2
  35. 35.If x/4 + 6 = 12, what is x? (a) 72 (b) 6 (c) 42 (d) 24
  36. 36.If 5x − 42 = 13, what is x? (a) 12 (b) 11 (c) 55 (d) 10
  37. 37.If 6x − 13 = 5, what is x? (a) 4 (b) 18 (c) 2 (d) 3
  38. 38.If x/5 + 15 = 22, what is x? (a) 35 (b) 7 (c) 95 (d) 185
  39. 39.If 3x + 26 = 38, what is x? (a) 3 (b) 5 (c) 12 (d) 4
  40. 40.If 4x − 30 = 30, what is x? (a) 16 (b) 60 (c) 14 (d) 15

Answer key

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

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