Solving the Linear Equations

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

• yes

• no

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

• (0, 2)

• (2, 0)

• (2, -2)

• (-2, -2)

• (-2, 2)

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

Lee charges $3 for a basket and $2.50 for each pound of fruit picked at the orchard. Write an equation in y = mx + b form for the total cost of x pounds of fruit from the orchard.

• y = 3x + 2.5

• y = 2.50x + 3

• y = 2.50x 

• y = 3x + 2.50

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 y-intercept in the equation?
y = 5x - 4

• 5

• -4

• -5

• 4

What is the slope in the equation?

y = 5x - 4

• 5

• -4

• -5

• 4

Paul the plumber charges $25 for a service call.  He then charges $100 an hour.  Write a linear equation to model this situation.

• y = 100x

• y = 25x

• y = 25x + 100

• y = 100x + 25

If a system of equations has no solution, what does the graph look like? 

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

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

• A

• B

• C

• D