1. MS Algebra A-F-IF-7 – Ch. 7.1 Solve Linear Systems by Graphing
ALGEBRA SUPPORT (Homework)
Solve Linear Systems by Graphing

2. SUPPORT Learning Target
Title: 7.1 Solve Linear Systems by Graphing
Date:
SUPPORT Learning Target
By the end of the period, I will solve linear systems by graphing.
I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.

3. Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?
2) Section 7.1 Pg ) Section ______
TxtBk.Prob.#3,5,15,23,31,35 Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder?
Table of Contents
Date Description Date Due

4. System of Linear Equations
Notes:
A system of equations (linear system) has two or more linear equations with the same variables.
Equation 1: y = -x + 5
Equation 2: y = ½ x + 2
solution
A solution to the system is an ordered pair ( x, y ) that is a solution to EACH of the equations (where the lines intersect).
(2, 3)

5. HW # 3
Check the intersection point
Use the graph to solve the system. Then check your solution algebraically. Is (-3, 1) a solution to the system?
x + y = -2
x + 5y = 2

6. HW # 5
Check the intersection point
Use the graph to solve the system. Then check your solution algebraically. Is (-2, 1) a solution to the system?
6x + 5y = -7
x – 2y = 0

7. Storm Check (Think, Write, Discuss, Report)
What do you have to do to check that a given ordered pair is a solution for the system of equations?
To check if a given ordered pair is a solution for
the system of equations, I have to ____________
___________________________________________
__________________________________________.

8. Solve the System of Equations:
Use the Graph and Check Method
Step 1: Graph Both Equations in the same plane
HW # 15
Step 2: Find coordinates of the point of intersection
Step 3: Check each equation to verify solution
Solve the System of Equations:
Eq. 1: x – y = Eq. 2: x + y = -8
STEP 1
Graph both
equations
STEP 2
Find intersection.
STEP 3
Check solution
Eq. 1: x – y = Eq. 2: x + y = -8

9. Solve the System of Equations:
Use the Graph and Check Method
Step 1: Graph Both Equations in the same plane
HW # 23
Step 2: Find coordinates of the point of intersection
Step 3: Check each equation to verify solution
Solve the System of Equations:
Eq. 1: -5x + 3y = Eq. 2: 4x + 3y = 30
STEP 1
Graph both
equations
STEP 2
Find intersection.
STEP 3
Check solution
Eq. 1: -5x + 3y = Eq. 2: 4x + 3y = 30

10. Storm Check (Think, Write, Discuss, Report)
When you look at a graph of a system of linear equations, where do you see the solution?
When I look at a graph of a system of linear
equations, I can see the solution ______________
___________________________________________.

11. HW # 31
Solve a multi-step problem
The sum of two numbers is 10. The greater number is 1 more than twice the lesser number. Write a linear system that models this situation and find the solution to the system.
STEP 1
Write a linear system.
STEP 2 Graph both equations.
STEP 3 Estimate point of intersection.
STEP 4
Check solution

12. HW # 31 Continued
Solve a multi-step problem
The sum of two numbers is 10. The greater number is 1 more than twice the lesser number. Write a linear system that models this situation and find the solution to the system.
STEP 1
Write a linear system.
STEP 2 Graph both equations.
STEP 3 Estimate point of intersection.
STEP 4
Check solution

13. HW # 35
Solve a multi-step problem
CRAFTS
Kirigami is the Japanese art of making paper designs by folding and cutting paper. A student sells small and large greeting cards decorated with kirigami at a craft fair. The small cards cost $3 per card, and the large cards cost $5 per card. The student collects $95 for selling a total of 25 cards. How many of each type of card did the student sell?
STEP 1
Write a linear system.
STEP 2 Graph both equations.
STEP 3 Estimate point of intersection.
STEP 4
Check solution

14. HW # 35 Continued
Solve a multi-step problem
CRAFTS
Kirigami is the Japanese art of making paper designs by folding and cutting paper. A student sells small and large greeting cards decorated with kirigami at a craft fair. The small cards cost $3 per card, and the large cards cost $5 per card. The student collects $95 for selling a total of 25 cards. How many of each type of card did the student sell?
STEP 1
Write a linear system.
STEP 2 Graph both equations.
STEP 3 Estimate point of intersection.
STEP 4
Check solution

15. Vocabulary System of Linear Equations
Solution to a System of Equations
Solve by Graphing
Solve by Elimination
Solve by Substitution

16. Vocabulary Acquisition
Friendly Definition
Sketch
Wordwork
Sentence
DAY 2
1. Review word
Friendly Definition
Physical Representation
2. Draw a sketch
DAY 1
Use Visuals
Introduce the word
Friendly Definition
Physical Representation
Use Cognates
Write friendly definition
Word List
Vocabulary Acquisition
DAY 3 and/or DAY 4
1. Review the word
Friendly Definition
Physical Representation
2. Show how the word works
Synonyms/antonym
Word Problems
Related words/phrases
Example/non-example
DAY 5
1. Review the word
Friendly definition
Physical Representation
3. Write a sentence
at least 2 rich words (1 action)
correct spelling
correct punctuation
correct subject/predicate agreement
clear and clean writing

17. Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?
2) Section 7.1 Pg ) Section ______
TxtBk.Prob.#3,5,15,23,31,35 Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder?
Table of Contents
Date Description Date Due

18. By the end of the period, I will solve linear systems by graphing
Title: 7.1 Solve Linear Systems by Graphing
Date:
Learning Target
By the end of the period, I will solve linear systems by graphing
I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.

19. Solve the System of Equations:
Use the Graph and Check Method
Step 1: Graph Both Equations in the same plane
Ticket Out
Step 2: Find coordinates of the point of intersection
Step 3: Check each equation to verify solution
Solve the System of Equations:
Eq. 1: x – y = Eq. 2: 3x + y = 3
STEP 1
Graph both
equations
STEP 2
Find intersection.
STEP 3
Check solution
Eq. 1: x – y = Eq. 2: 3x + y = 3

20. -y = -x + 5 y = x - 5 y = -3x + 3 (2) - (-3) = 5 3(2) + (-3) = 3
Use the Graph and Check Method
Step 1: Graph Both Equations in the same plane
Ticket Out
Step 2: Find coordinates of the point of intersection
SOLUTION
Step 3: Check each equation to verify solution
Solve the System of Equations:
Eq. 1: x – y = Eq. 2: 3x + y = 3
STEP 1
Graph both
equations
-y = -x + 5
y = x - 5
y = mx + b
y = -3x + 3
y = mx + b
STEP 2
Find intersection.
STEP 3
Check solution
Eq. 1: x – y = Eq. 2: 3x + y = 3
(2) - (-3) = 5
2 + 3 = 5
5 = 5
(2, -3)
3(2) + (-3) = 3
6 – 3 = 3
3 = 3