Today: C5 Test Grade Reports/Goal Evaluation 7.1 Instruction Practice

Today:• C5 Test• Grade

Reports/Goal Evaluation

• 7.1 Instruction• Practice

No trumpets sound when the important decisions of our life are made. Destiny is made known silently.

Agnes DeMille

Algebra 1

Algebra 1

Assignment:• PSAE Worksheet

#5 – Show work on all problems.


Agnes DeMille

Algebra 1

Objectives:1.Solve a system of equations by

graphing.2.Solve systems from the real world.

Vocabulary: system of linear equations, solution to a system, point of intersection

Solving Linear Systems by Graphing

7.1

We have solved equations like:

We found many solutions to the equations like:

Now we will find 1 solution to 2 equations like:

3(x – 4) = 5 x + 2(x – 3) = 5 – (x + 4)

2x + 4 = 12 x – 4 = 5

3x + 2y = 12 y = 2x - 5

3x + 2y = 12 y = 2x - 5

Solving Linear systems by Graphing

7.1


7.1

Animalwolvescowsbeesbirdscrowsfishlions

turkeysmonkeysalligatorsequation

s

Grouppackherd

colonyflock

murderschoolpride

rafterstroop

congregationsystem


7.1

Vocabulary: system of linear equations – a group of 2 or more

equations that are linear – use a set mark { to group them.

Vocabulary: system of linear equations

x32

y

183y2x To get a 1 solution, you need the same number of equations as variables.

102z3y7x

82z5yx

184z3y2x

0

2w -2x 3y 4z 18

5w x 5y 2z 8

w 7x 3y 2z 10

6w 9x-5y z

Example 1 Solve the System by Graphing

Solve the equations: by graphing.

183y2x

1 2 3 4 5 6 7 8 9 10

123

56

4

789

10

-6-4 -2-8

-6

-2

-4

-82x32

y

standard form – intercept method

slope-intercept form – y-intercept & slope


Solve the system by graphing.

Solve a System by Graphing

1. Graph both equations.

2. Find the intersection.

3. Check the answer.

2x32

y

183y2x1 2 3 4 5 6 7 8 9 1

0

123

56

4

789

10

-6-4 -2-8

-6

-2

-4

-8

(3, 4)






-93y-2x

-2yx1 2 3 4 5 6 7 8 9 1

0

123

56

4

789

10

-6-4 -2-8

-6

-2

-4

-8

(-3, 1)







5-2xy

4yx

1 2 3 4 5 6 7 8 9 10

123

56

4

789

10

-6-4 -2-8

-6

-2

-4

-8

(1, 3)







10x34

y

123y2x1 2 3 4 5 6 7 8 9 1

0

123

56

4

789

10

-6-4 -2-8

-6

-2

-4

-8

(-3, 6)







4x 2y 18

4y x 1

3

1 2 3 4 5 6 7 8 9 1

0

123

56

4

789

10

-6-4 -2-8

-6

-2

-4

-8

(-3, -3)







-4x52

y

3010y4x-

1 2 3 4 5 6 7 8 9 10

123

56

4

789

10

-6-4 -2-8

-6

-2

-4

-8

nosolutio

n







3x31

y

186y2x-

1 2 3 4 5 6 7 8 9 10

123

56

4

789

10

-6-4 -2-8

-6

-2

-4

-8

infinitesolutio

ns


Example 2 Real Life Linear System

You and your sister each have a savings account for college. You have $2000 and plan to deposit an additional $50 per month At the same time, your sister has a balance of $1600 and she plans to deposit $100 per month. Predict when you and your sister will have the same amount?8 months

Using your TI1.Type the equations

into your Calculator2.Graph3.Use Calculate

function to find the intersection of the system

4.Find the intersection.

Example 2 Real Life Linear System

An ecologist is studying the population of two types of fish in a lake. Type A is walleye and currently number 5750, but are decreasing at a rate of 250 per year. Type B is bass with a present count of 3500 and increasing at a rate of 500 per year. When will there be equal amounts of both fish?

3 years

Using your TI1.Type the equations

into your Calculator2.Graph3.Use Calculate

function to find the intersection of the system

4.Find the intersection.

Assignment:

7.1 p401 #3-10, …7.1

How do we solve a system by graphing?





Assignment:• 7.1 p410 #3-10, 17-

19, 21-35 odd, 36• C5 Progress Report• Goal Evaluation


Agnes DeMille

Algebra 1

Today: C5 Test Grade Reports/Goal Evaluation 7.1 Instruction Practice

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