Question 27 • Advanced Algebra: Concepts and Connections
The number of girls, g , in a room is four more than two times the number of boys, b Half of the number of girls in the room minus the number of boys is 2 The equations represent the situation. g is equal to 4 plus 2 b 1 half g minus b is equal to 2 Which is true?
Answer
A
the 2 by 2 matrix, row 1, column 1, 1 column 2, 2 row 2, column 1, 1 half column 2, negative 1 the 2 by 1 column matrix g b is equal to the 2 by 1 column matrix 4 2 ; There are eight girls and zero boys in the room.
B
the 2 by 2 matrix, row 1, column 1, 1 column 2, negative 2 row 2, column 1, 1 half column 2, negative 1 the 2 by 1 column matrix g b is equal to the 2 by 1 column matrix 4 2 ; There are infinite solutions to the system.
C
the 2 by 2 matrix, row 1, column 1, 1 column 2, negative 2 row 2, column 1, 1 half column 2, negative 1 the 2 by 1 column matrix g b is equal to the 2 by 1 column matrix 4 2 ; There are no solutions to the system.
D
the 2 by 2 matrix, row 1, column 1, 1 column 2, 2 row 2, column 1, 1 half column 2, negative 1 the 2 by 1 column matrix g b is equal to the 2 by 1 column matrix 4 2 ; There are four girls and zero boys in the room.