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

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.

Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder? 2) Section 7.1 Pg. 378-381 3) 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

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)

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

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

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 ____________ ___________________________________________ __________________________________________.

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 = 2 Eq. 2: x + y = -8 STEP 1 Graph both equations STEP 2 Find intersection. STEP 3 Check solution Eq. 1: x – y = 2 Eq. 2: x + y = -8

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 = 3 Eq. 2: 4x + 3y = 30 STEP 1 Graph both equations STEP 2 Find intersection. STEP 3 Check solution Eq. 1: -5x + 3y = 3 Eq. 2: 4x + 3y = 30

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 ______________ ___________________________________________.

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

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

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

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

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

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

Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder? 2) Section 7.1 Pg. 378-381 3) 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

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.

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 = 5 Eq. 2: 3x + y = 3 STEP 1 Graph both equations STEP 2 Find intersection. STEP 3 Check solution Eq. 1: x – y = 5 Eq. 2: 3x + y = 3

-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 = 5 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 = 5 Eq. 2: 3x + y = 3 (2) - (-3) = 5 2 + 3 = 5 5 = 5 (2, -3) 3(2) + (-3) = 3 6 – 3 = 3 3 = 3