← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 642 · 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 + 5 = 2x + 27, what is x? (a) 12 (b) 13 (c) 11 (d) 16
  2. 2.If 9x + 10 = 7x + 18, what is x? (a) 5 (b) 14 (c) 4 (d) 6
  3. 3.If 6x + 11 = 35, what is x? (a) 24 (b) 4 (c) 3 (d) 5
  4. 4.If 3x + 6 = x + 24, what is x? (a) 15 (b) 9 (c) 11 (d) 10
  5. 5.If 8x + 9 = 25, what is x? (a) 1 (b) 16 (c) 3 (d) 2
  6. 6.If x/5 + 4 = 10, what is x? (a) 70 (b) 6 (c) 46 (d) 30
  7. 7.If 5x + 13 = 4x + 23, what is x? (a) 36 (b) 12 (c) 11 (d) 10
  8. 8.If 4x + 20 = 2x + 32, what is x? (a) 2 (b) 26 (c) 7 (d) 6
  9. 9.If 9x − 19 = 8, what is x? (a) 3 (b) 27 (c) 4 (d) 2
  10. 10.If x/4 + 7 = 9, what is x? (a) 2 (b) 64 (c) 29 (d) 8
  11. 11.If 3x + 11 = 17, what is x? (a) 3 (b) 6 (c) 2 (d) 1
  12. 12.If x/5 + 6 = 8, what is x? (a) 10 (b) 70 (c) 2 (d) 34
  13. 13.If 8x − 7 = 9, what is x? (a) 2 (b) 16 (c) 3 (d) 1
  14. 14.If 3x + 25 = 55, what is x? (a) 11 (b) 9 (c) 30 (d) 10
  15. 15.If 7x + 15 = 6x + 16, what is x? (a) 2 (b) 1 (c) 3 (d) 31
  16. 16.If 5x + 2 = 2x + 32, what is x? (a) 11 (b) 10 (c) 9 (d) 12
  17. 17.If 7x − 14 = 7, what is x? (a) 3 (b) 4 (c) 21 (d) 2
  18. 18.If 2x + 27 = 37, what is x? (a) 5 (b) 32 (c) 10 (d) 6
  19. 19.If 9x − 84 = 24, what is x? (a) 11 (b) 12 (c) 108 (d) 13
  20. 20.If 7x − 15 = 55, what is x? (a) 10 (b) 11 (c) 70 (d) 9
  21. 21.If 8x − 50 = 14, what is x? (a) 7 (b) 8 (c) 9 (d) 64
  22. 22.If 2x − 3 = 7, what is x? (a) 10 (b) 6 (c) 5 (d) 2
  23. 23.If 2x + 3 = 15, what is x? (a) 12 (b) 7 (c) 9 (d) 6
  24. 24.If x/6 + 4 = 12, what is x? (a) 96 (b) 68 (c) 8 (d) 48
  25. 25.If 4x + 13 = x + 16, what is x? (a) 3 (b) 1 (c) 4 (d) 2
  26. 26.If 7x + 20 = 6x + 32, what is x? (a) 14 (b) 12 (c) 52 (d) 13
  27. 27.If 3x − 5 = 1, what is x? (a) 1 (b) 2 (c) 6 (d) 3
  28. 28.If 3x − 18 = 27, what is x? (a) 3 (b) 15 (c) 45 (d) 16
  29. 29.If 3x + 8 = x + 10, what is x? (a) 2 (b) 3 (c) 9 (d) 1
  30. 30.If 4x + 10 = 2x + 20, what is x? (a) 15 (b) 5 (c) 7 (d) 6
  31. 31.If 7x − 42 = 14, what is x? (a) 8 (b) 56 (c) 9 (d) 7
  32. 32.If 2x − 3 = 5, what is x? (a) 4 (b) 5 (c) 1 (d) 8
  33. 33.If 9x + 4 = 8x + 11, what is x? (a) 9 (b) 7 (c) 8 (d) 15
  34. 34.If 3x + 6 = 15, what is x? (a) 3 (b) 9 (c) 4 (d) 7
  35. 35.If x/2 + 6 = 15, what is x? (a) 24 (b) 18 (c) 42 (d) 9
  36. 36.If 3x + 4 = 2x + 6, what is x? (a) 4 (b) 3 (c) 10 (d) 2
  37. 37.If 7x + 4 = 18, what is x? (a) 3 (b) 2 (c) 14 (d) 1
  38. 38.If 6x + 2 = 2x + 42, what is x? (a) 10 (b) 12 (c) 11 (d) 5
  39. 39.If 5x − 44 = 21, what is x? (a) 14 (b) 12 (c) 65 (d) 13
  40. 40.If 5x + 15 = 4x + 27, what is x? (a) 13 (b) 12 (c) 42 (d) 14

Answer key

  1. 11
  2. 4
  3. 4
  4. 9
  5. 2
  6. 30
  7. 10
  8. 6
  9. 3
  10. 8
  11. 2
  12. 10
  13. 2
  14. 10
  15. 1
  16. 10
  17. 3
  18. 5
  19. 12
  20. 10
  21. 8
  22. 5
  23. 6
  24. 48
  25. 1
  26. 12
  27. 2
  28. 15
  29. 1
  30. 5
  31. 8
  32. 4
  33. 7
  34. 3
  35. 18
  36. 2
  37. 2
  38. 10
  39. 13
  40. 12

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