← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 975 · 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 3x + 18 = x + 22, what is x? (a) 1 (b) 20 (c) 3 (d) 2
  2. 2.If 3x + 6 = 2x + 13, what is x? (a) 19 (b) 9 (c) 8 (d) 7
  3. 3.If 6x + 15 = 5x + 26, what is x? (a) 11 (b) 1 (c) 41 (d) 12
  4. 4.If x/3 + 2 = 4, what is x? (a) 18 (b) 10 (c) 2 (d) 6
  5. 5.If 4x + 16 = x + 40, what is x? (a) 10 (b) 9 (c) 7 (d) 8
  6. 6.If 9x + 16 = 5x + 44, what is x? (a) 7 (b) 15 (c) 8 (d) 2
  7. 7.If 6x + 11 = 35, what is x? (a) 3 (b) 4 (c) 24 (d) 5
  8. 8.If 4x + 12 = 68, what is x? (a) 56 (b) 14 (c) 15 (d) 20
  9. 9.If 8x − 16 = 40, what is x? (a) 56 (b) 3 (c) 8 (d) 7
  10. 10.If 5x − 5 = 50, what is x? (a) 9 (b) 12 (c) 55 (d) 11
  11. 11.If 6x − 69 = 15, what is x? (a) 84 (b) 15 (c) 14 (d) 13
  12. 12.If 9x + 1 = 7x + 25, what is x? (a) 13 (b) 12 (c) 14 (d) 11
  13. 13.If 6x + 5 = 53, what is x? (a) 8 (b) 9 (c) 7 (d) 48
  14. 14.If 5x + 26 = 46, what is x? (a) 20 (b) 3 (c) 4 (d) 5
  15. 15.If 2x + 27 = 57, what is x? (a) 42 (b) 16 (c) 15 (d) 30
  16. 16.If 3x − 16 = 14, what is x? (a) 11 (b) 30 (c) 10 (d) 9
  17. 17.If x/5 + 9 = 19, what is x? (a) 50 (b) 10 (c) 140 (d) 86
  18. 18.If 3x + 15 = 2x + 25, what is x? (a) 11 (b) 40 (c) 10 (d) 2
  19. 19.If x/6 + 7 = 13, what is x? (a) 120 (b) 36 (c) 71 (d) 6
  20. 20.If 9x + 17 = 2x + 80, what is x? (a) 8 (b) 9 (c) 11 (d) 10
  21. 21.If x/3 + 10 = 15, what is x? (a) 15 (b) 5 (c) 35 (d) 75
  22. 22.If x/2 + 7 = 9, what is x? (a) 11 (b) 4 (c) 32 (d) 2
  23. 23.If 8x − 16 = 96, what is x? (a) 14 (b) 112 (c) 15 (d) 10
  24. 24.If 8x − 18 = 46, what is x? (a) 9 (b) 8 (c) 64 (d) 7
  25. 25.If 4x + 25 = 49, what is x? (a) 24 (b) 6 (c) 5 (d) 7
  26. 26.If 9x + 12 = 5x + 52, what is x? (a) 16 (b) 10 (c) 12 (d) 11
  27. 27.If 6x + 3 = 3x + 30, what is x? (a) 10 (b) 11 (c) 3 (d) 9
  28. 28.If 2x + 16 = 40, what is x? (a) 13 (b) 24 (c) 12 (d) 28
  29. 29.If 4x − 42 = 14, what is x? (a) 15 (b) 13 (c) 56 (d) 14
  30. 30.If 7x + 25 = 116, what is x? (a) 12 (b) 13 (c) 14 (d) 91
  31. 31.If 8x + 19 = 5x + 49, what is x? (a) 12 (b) 11 (c) 9 (d) 10
  32. 32.If 6x − 5 = 37, what is x? (a) 42 (b) 6 (c) 7 (d) 8
  33. 33.If 4x − 2 = 6, what is x? (a) 8 (b) 2 (c) 3 (d) 1
  34. 34.If 9x − 19 = 17, what is x? (a) 3 (b) 36 (c) 4 (d) 5
  35. 35.If 9x + 29 = 83, what is x? (a) 6 (b) 5 (c) 54 (d) 7
  36. 36.If 8x − 8 = 56, what is x? (a) 9 (b) 8 (c) 64 (d) 6
  37. 37.If 9x − 9 = 45, what is x? (a) 6 (b) 7 (c) 54 (d) 4
  38. 38.If 5x − 22 = 13, what is x? (a) 8 (b) 7 (c) 6 (d) 35
  39. 39.If x/5 + 15 = 26, what is x? (a) 205 (b) 11 (c) 55 (d) 115
  40. 40.If 8x − 5 = 19, what is x? (a) 4 (b) 3 (c) 24 (d) 2

Answer key

  1. 2
  2. 7
  3. 11
  4. 6
  5. 8
  6. 7
  7. 4
  8. 14
  9. 7
  10. 11
  11. 14
  12. 12
  13. 8
  14. 4
  15. 15
  16. 10
  17. 50
  18. 10
  19. 36
  20. 9
  21. 15
  22. 4
  23. 14
  24. 8
  25. 6
  26. 10
  27. 9
  28. 12
  29. 14
  30. 13
  31. 10
  32. 7
  33. 2
  34. 4
  35. 6
  36. 8
  37. 6
  38. 7
  39. 55
  40. 3

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