TODAY IN ALGEBRA…

Warm Up: Graphing Linear Equations and solving for y.

Learning Goal: 7.1 You will solve systems on linear equations by Graphing

Independent Practice/ Finish Ch.7 End Test

WARM UP: Identify the slope and y-intercept of the line with the given equation.1. 2. 3.

Or

Or

Graph y-intercept: Start here.

Slope = : Run is always to the right.

7.1 SOLVING LINEAR SYSTEMS BY GRAPHINGIMPORTANT VOCABULARY• SYSTEM OF LINEAR EQUATIONS: two or more linear equations

• SOLUTION OF A SYSTEM: where the graphs intersect

7.1 SOLVING LINEAR SYSTEMS BY GRAPHINGPRACTICE: Use the graph to solve the system: SOLVE FOR y to graph:(1) (2)

(2 ,2)

7.1 SOLVING LINEAR SYSTEMS BY GRAPHINGEXAMPLE: You are going to sell ice cream. It costs you $12 to get all the equipment and $0.5 to make each cone. You will sell each cone for $2 each. How many cones do you need to sell to break even and at what cost?1. Write your equations:

2. Graph your lines and find the solution.

Sell 8 cones to break even at a cost of $16.

(8 ,16)2

2

Check EQUATION 2:(2) ??? ???

7.1 SOLVING LINEAR SYSTEMS BY GRAPHINGEXAMPLE: Tell whether the ordered pair is a solution of the linear system.

Check EQUATION 1:(1) ??? ???

*An ordered pair is a solution to the system IF it is a solution for each linear equation.

(1) ??? ???

(2) No need to check equation 2 because the ordered pair not a solution for equation 1!

7.1 SOLVING LINEAR SYSTEMS BY GRAPHINGPRACTICE: Tell whether the ordered pair is a solution of the linear system.

1. 2.

(1) ??? ???

(2) ??? ???

HOMEWORK #1:

Pg. 430: 3-10, 12-15, 22, 23, 32