ALGEBRA SUPPORT (Homework) MS Algebra A-F-IF-7 – Ch. 7.3a Solve Linear Systems by Elimination through Addition or Subtraction ALGEBRA SUPPORT (Homework) Solve Linear Systems by Elimination through Addition or Subtraction

SUPPORT Learning Target Title: 7.3a Solve Linear Systems by Elimination with Addition/Subtraction Date: SUPPORT Learning Target By the end of the period, I will solve linear systems by elimination with addition or subtraction. 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 7.3 Pg. 394-397 3) Section ______ TxtBk.Prob.#5,7,9,13,17,19 Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder? Table of Contents Date Description Date Due

Solving Systems by Elimination Notes: Step 1: Add or subtract the equations to eliminate one variable. Step 2: Solve the resulting equation for the other variable. Here we choose to ADD the two equations. Here we solve for x. Eq. 1: x – y = 5 Eq. 2: + 3x + y = 3 4x = 8 4x = 8 4 4 x = 2 Step 3: Substitute in either original equation to find the value of the eliminated variable. Eq. 1: (2) – y = 5 - y = 3 y = -3 Step 4: Check your solution Solution: (2,-3) Equation 1: 2 – (-3) = 5 Equation 2: 3(2)+(-3)=3

( , ) 9x + y = 2 +(-4x – y = -17) Solution: Solve the linear system. HW # 5 Solve the linear system. Use the Elimination method STEP 1 Add or Subtract the Equations STEP 2 Solve the resulting Equation for the Remaining Variable STEP 3 Substitute in either original equation to find the value of the eliminated variable. STEP 4 Check Solution STEP 3 9x + y = 2 Equation 1 +(-4x – y = -17) Equation 2 STEP 1 STEP 2 Solution: ( , ) STEP 4

( , ) -9x + 4y = -17 +(9x – 6y = 3) Solution: Solve the linear system. HW # 7 Solve the linear system. Use the Elimination method STEP 1 Add or Subtract the Equations STEP 2 Solve the resulting Equation for the Remaining Variable STEP 3 Substitute in either original equation to find the value of the eliminated variable. STEP 4 Check Solution STEP 3 -9x + 4y = -17 Equation 1 +(9x – 6y = 3) Equation 2 STEP 1 STEP 2 Solution: ( , ) STEP 4

( , ) 2x + 5y = 31 +(-2x + y = -1) Solution: Solve the linear system. HW # 9 Solve the linear system. Use the Elimination method STEP 1 Add or Subtract the Equations STEP 2 Solve the resulting Equation for the Remaining Variable STEP 3 Substitute in either original equation to find the value of the eliminated variable. STEP 4 Check Solution STEP 3 2x + 5y = 31 Equation 1 +(-2x + y = -1) Equation 2 STEP 1 STEP 2 Solution: ( , ) STEP 4

Storm Check (Think, Write, Discuss, Report) Explain in your own words the four steps of solving systems of equations by Elimination? The four steps of solving systems of equations by elimination are: 1) _________________________________________ 2) _________________________________________ 3) _________________________________________ 4) _________________________________________

- ( , ) x – y = -4 (x + 3y = 4) Solution: Solve the linear system. HW # 13 Solve the linear system. Use the Elimination method STEP 1 Add or Subtract the Equations STEP 2 Solve the resulting Equation for the Remaining Variable STEP 3 Substitute in either original equation to find the value of the eliminated variable. STEP 4 Check Solution x – y = -4 - Equation 1 (x + 3y = 4) Equation 2 Solution: ( , )

- ( , ) 4x – 9y = -21 (4x + 3y = -9) Solution: HW # 17 Solve the linear system. Use the Elimination method STEP 1 Add or Subtract the Equations STEP 2 Solve the resulting Equation for the Remaining Variable STEP 3 Substitute in either original equation to find the value of the eliminated variable. STEP 4 Check Solution 4x – 9y = -21 - Equation 1 (4x + 3y = -9) Equation 2 Solution: ( , )

- ( , ) 6x – y = -1 (6x – 3y = -27) Solution: Solve the linear system. HW # 19 Solve the linear system. Use the Elimination method STEP 1 Add or Subtract the Equations STEP 2 Solve the resulting Equation for the Remaining Variable STEP 3 Substitute in either original equation to find the value of the eliminated variable. STEP 4 Check Solution 6x – y = -1 - Equation 1 (6x – 3y = -27) Equation 2 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

Storm Check (Think, Write, Discuss, Report) To verify your solution to a system of linear equations, what do you have to do? To verify my solution to a system of linear equations, I have to _________________________ ___________________________________________ ___________________________________________.