Model Systems of Linear Equations

Which of the following shows the solution to the system?
 y= -1/4x + 4
y = 2x + 2

• A

• B

• C

• D

What is the value of the y-coordinate in this system of linear equations?

6x + 10y = -32 and 6x + 9y = -27

• y = 5

• y = 0

• y = -5

• y = 1

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

• yes

• no

A 7-inch candle burns at a rate of 2-inches per hour. Which equation represents the relationship between y, the height of the dandle in inches, and x, the number of hours the candle burns?

• y=2x+7

• y=7-2x

• y=2-7x

• y=7x+2

The graphs of two linear equations are shown. What is the best estimate of the solution to the system of linear equations?

• (0, 3)

• (3, 0)

• (0, -3)

• (-3, 3)

• (-3, 0)

Which system of linear equations is shown on the graph?

• y= 4x-2 and y=1/4x-2

• y=-1/4x-2 and y=-4x-2

• y=1/4x-2 and y=-4x-2

• y=-1/4x-2 and y=4x-2

How many solutions does this system of equations have?

• One Solution

• No solution

• Infinitely Many Solutions

• Two Solutions

For lunch, Amanda had a hamburger and some potato chips. The hamburger totaled 325 calories and each chip had 12 calories. Write a liner equation to represent the situation.

• y = 12 + 325

• y = 12x  + 325

• y = 325 - 12x

• y = 325x + 12

What is the slope in the equation?

y = 5x - 4

• 5

• -4

• -5

• 4

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.   Which system of equations represents the matrix equation?