Model Systems of Linear Equations

An automobile dealership sells Model A cars and Model B trucks.  The matrix equation models a system of linear equations that relates the revenue generated from the sale of the vehicles and the number of (Model A) cars and (Model B) trucks sold in the month of April.   In the next month, the dealership sold twice as many cars and half as many trucks.  Did the dealership make more or less money in May than in April?

• The dealership made more money in May than April.

• The dealership made less money in May than April.

• Impossible to know. Need more information.

The following equations relate the number of children (x) and adults (y) who bought tickets for a Thanksgiving dinner and the money collected in ticket sales. After solving the system, which of the following is true?

• There were 2200 adults at the event.

• There were 1500 adults at the event.

• There were 700 adults at the event.

• There were 5050 adults at the event.

• 0

• 1

• -5

• 5

• (7 , 12)

• ( 12 , 7)

• ( -1 , 4)

• ( 4 , -1)

An automobile dealership sells Model A cars and Model B trucks.  The matrix equation models a system of linear equations that relates the revenue generated from the sale of the vehicles and the number of (Model A) cars and (Model B) trucks sold in the month of April.   How many cars were sold in April?

• 8

• 10

• 18

• Impossible to know. Need more information.

What is the number of solutions to the system of equations?

• No Solution

• Infinitely Many Solutions

• One Solution

• Two Solutions

What is the solution to the system of equations?

• No Solution

• (2, 0)

• Infinitely Many Solutions

• (0, 2)

There are 15 animals in a barn.  These animals are horses and chickens.  There are 44 legs in all.  Which system of equations represents the situation?

• x + y = 15
  4x + 2y = 44

• 4x + 2y = 15
  x + y = 44

• x = 2y + 44
  4x = y + 15

• 2x - 4y = 44
  x - y = 15

2 or more linear equations with the same set of variables

• Function

• System of Equations

• Linear Equations

• Quadratic Equations

a method to solving a system of equations using the coordinate grid 

• Systems by Graphing

• Systems by Substitution

• Systems by Elimination

• Systems by Drawing