the community of mathtopia has been devastated: Murder Mystery Recording Sheet
Directions: The community of Mathtopia has been devastated! A terrible murder has just been committed! Help Detective Algebras crack this case! Your job is to examine each clue to determine the murderer, the location of the murder, as well as how the murder was committed. Show all you work in the space below.
Suspects: Mr. Expresio; Mrs. Expresio; Madam Solutia; Miss Ansa; Mr. Ration; Mrs. Ration
How it Happened: Poison; A gun; A knife; Drowning; Electrocution; Pummeled
Location: The prison; The court house; The office building; The waterpark; The arcade; The school
Your findings:
Murderer: ____________________
Murder Weapon: ____________________
Location: ____________________
Clue1:
Simplify:\(\frac { x} { x^ 2- 25} + \frac { 5} { x^ 2- 25} \)
\(\frac { x} { x^ 2- 25} + \frac { 5} { x^ 2- 25} \)The victim was not killed at the waterpark.
\(\frac { 1} { x+ 5} \)The murderer was not Mrs. Expresio.
\(\frac { 1} { x- 5} \)The murderer did not use electrocution.
\(\frac { 5} { x} \)The victim was poisoned.
\(\frac { 1} { x^ 2- 5} \)The murderer was a man.
Clue 2:
Simplify:\(\frac { 3x^ 2 - 8x + 4} { 3x^ 2 - 14x - 5} - \frac { 2x^ 2 - 5x + 14} { 3x^ 2 - 14x - 5} \)
\(\frac { x + 2} { 3x + 1} \)The murder was not committed at the arcade.
\(\frac { x + 2} { 3x - 1} \)The murderer was a woman.
\(\frac { x + 2} { x - 5} \)The murderer did not use a gun.
\(\frac { x + 2} { x + 5} \)The murder happened at a place where nearby children were having fun.
\(\frac { x - 2} { 3x + 1} \)The murderer was a man.
Clue 3:
Simplify:\(\frac { 4} { x - 5} + \frac { 3} { x + 7} \)
\(\frac { 7x + 14} { ( x - 5) ( x + 7) } \)The murderer did not have a spouse.
\(\frac { 7x + 12} { ( x - 5) ( x + 7) } \)The victim was pummeled to death.
\(\frac { 7x + 2} { ( x - 5) ( x + 7) } \)The murder happened indoors.
\(\frac { 7x + 13} { ( x - 5) ( x + 7) } \)The victim was not poisoned.
\(\frac { 7x + 43} { ( x - 5) ( x + 7) } \)The murderer was a man.
Clue 4:
Simplify:\(\frac { 7} { x- 6} + \frac { 2} { x+ 4} \)
\(\frac { 5x+ 16} { ( x- 6) ( x+ 4) } \)The murder was committed outside.
\(\frac { 9x+ 16} { ( x- 6) ( x+ 4) } \)The murderer has a spouse.
\(\frac { 9x- 16} { ( x- 6) ( x+ 4) } \)The victim was not killed at the arcade.
\(\frac { 9x- 14} { ( x- 6) ( x+ 4) } \)The victim was not stabbed with a knife.
\(\frac { 5x- 16} { ( x- 6) ( x+ 4) } \)The murderer was a woman.
Clue 5:
Simplify:\(\frac { 3x + 4} { x^ 2 - 8x + 15} - \frac { 3} { x - 5} \)
\(\frac { 6x + 13} { ( x - 5) ( x - 3) } \)The murderer does not have a spouse.
\(\frac { 3x + 1} { ( x - 5) ( x - 3) } \)The murderer does have a spouse.
\(\frac { 1} { ( x - 5) ( x - 3) } \)The victim was killed at the school.
\(\frac { 13} { ( x - 5) ( x - 3) } \)The victim was not pummeled to death.
\(\frac { 6x + 13} { ( x + 5) ( x - 3) } \)The victim was electrocuted.
Clue 6:
Simplify:\(\frac { 2} { x + 2} + \frac { x + 10} { x^ 2 - 4} \)
\(\frac { x - 6} { ( x + 2) ( x - 2) } \)The murderer was a man.
\(\frac { x + 6} { ( x + 2) ( x - 2) } \)The murderer was not Miss Ansa.
\(\frac { 3x + 14} { ( x + 2) ( x - 2) } \)Mr. Ration had a fun time visiting the arcade.
\(\frac { 3} { x + 2} \)The victim was not drowned to death.
\(\frac { 3} { x - 2} \)The murder occurred at a location where there were very few children around.
Clue 7:
Simplify:\(\frac { x} { x + 5} - \frac { 7} { 2x - 3} \)
\(\frac { 2x^ 2 - 10x + 35} { ( 2x - 3) ( x + 5) } \)The murder was not committed at the courthouse.
\(\frac { 2x^ 2 + 10x - 35} { ( 2x - 3) ( x + 5) } \)The murderer was Madam Solutia.
\(\frac { 2x^ 2 - 10x - 35} { ( 2x - 3) ( x + 5) } \)Mr. Ration was not the murderer.
\(\frac { 2x^ 2 - 4x - 35} { ( 2x - 3) ( x + 5) } \)The victim was not poisoned to death.
\(\frac { 2x^ 2 + 4x - 35} { ( 2x - 3) ( x + 5) } \)The murderer has a spouse.
Clue 8:
Simplify:\(\frac { x} { x - 4} + \frac { 7} { x^ 2 - 8x + 16} \)
\(\frac { x^ 2 - 4x + 7} { ( x - 4) ( x - 4) } \)Mr. Expresio had a calm day at the office building.
\(\frac { x^ 2 + 4x + 7} { ( x - 4) ( x - 4) } \)The murder occurred inside.
\(\frac { 5x + 7} { ( x - 4) ( x - 4) } \)The victim was not pummeled to death.
\(\frac { x^ 2 - 3} { ( x - 4) ( x + 4) } \)The murderer stabbed the victim with a knife.
\(\frac { x^ 2 + 4x + 7} { ( x - 4) ( x + 4) } \)The murder did not occur at the prison.
Clue 9:
Simplify:\(\frac { 2x^ 2 + 36} { x^ 2 - 36} - \frac { x - 3} { x + 6} \)
\(\frac { x + 2} { x - 6} \)The victim was not electrocuted.
\(\frac { x + 9} { x + 6} \)The murderer was not Mrs. Expresio.
\(\frac { x + 3} { x - 6} \)The murderer did not use a knife.
\(\frac { x + 3} { x + 6} \)Madam Solutia had a relaxing time visiting the school.
\(\frac { x + 9} { x - 6} \)The murderer was a man.
Clue 10:
Simplify:\(\frac { 2x} { x^ 2 + 6x - 7} - \frac { 3} { x^ 2 + 2x - 3} \)
\(\frac { x^ 2 - 5x + 17} { ( x + 3) ( x - 1) ( x + 7) } \)The murder was not committed at the arcade.
\(\frac { 2x^ 2 + 9x - 21} { ( x + 3) ( x - 1) ( x + 7) } \)Miss Ansa had a nice day at the waterpark.
\(\frac { 2x^ 2 + 3x + 21} { ( x + 3) ( x - 1) ( x + 7) } \)The murderer does not have a spouse.
\(\frac { 2x^ 2 - 9x - 21} { ( x + 3) ( x - 1) ( x + 7) } \)The murderer was a man.
\(\frac { 2x^ 2 + 3x - 21} { ( x + 3) ( x - 1) ( x + 7) } \)The victim was not drowned to death.
Clue 11:
Simplify:\(\frac { x - 2} { x + 3} + \frac { 7} { x - 3} - \frac { x + 3} { x^ 2 - 9} \)
\(\frac { x^ 2 - x + 27} { ( x - 3) ( x + 3) } \)The murderer has a spouse.
\(\frac { x^ 2 + 2x + 27} { ( x - 3) ( x + 3) } \)The murderer was Madam Solutia.
\(\frac { x^ 2 + x + 30} { ( x - 3) ( x + 3) } \)The murderer did not use a knife.
\(\frac { x^ 2 + x + 24} { ( x - 3) ( x + 3) } \)The murder did not occur at the prison.
\(\frac { x^ 2 - x + 24} { ( x - 3) ( x + 3) } \)The murder happened indoors.
Clue 12:
Simplify:\(\frac { x + 1} { x^ 2 + 3x - 10} - \frac { 3} { x - 2} + \frac { x + 2} { x^ 2 + 8x + 15} \)
\(\frac { x^ 2 + 20x + 46} { ( x + 5) ( x - 2) ( x + 3) } \)The murder was not committed at the arcade.
\(\frac { - x^ 2 - 20x - 46} { ( x + 5) ( x - 2) ( x + 3) } \)The murderer was not Mrs. Expresio.
\(\frac { x^ 2 - 20x - 46} { ( x + 5) ( x - 2) ( x + 3) } \)The murder was not committed at the school.
\(\frac { x^ 2 - 20x + 46} { ( x + 5) ( x - 2) ( x + 3) } \)The murderer electrocuted the victim.
\(\frac { - x^ 2 + 20x - 46} { ( x + 5) ( x - 2) ( x + 3) } \)The murderer was a woman.
