X y x y Section 6.1 Checkpoint 1 Solving a Linear System by Graphing Solve the system of equations by graphing and identify the solution coordinate as.

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Presentation transcript:

x y x y Section 6.1 Checkpoint 1 Solving a Linear System by Graphing Solve the system of equations by graphing and identify the solution coordinate as (x, y).

x y x y Section 6.1 Checkpoint 2 Solving a Linear System by Graphing Solve the system of equations by graphing and identify the solution coordinate as (x, y). (Use y = mx + b)

Section 6.1 Checkpoint 3 Determining the Number of Solutions Solve each system by graphing. Find the number of solutions. x y x y x y

Solve by substituting the value of one equation into the other. Section 6.2 Checkpoint 4 Solving a System Using Substitution

Section 6.2 Checkpoint 5 Solving a System Using Substitution Solve by substituting the value of one equation into the other. Begin by solving one of the equations for y.

Section 6.2 Checkpoint 6 Solving a System Using Substitution

Section 6.2 Checkpoint 7 Solving Using Substitution: Special Solutions

Solve by adding or subtracting the equations to eliminate one of the variables. Look for terms with the same coefficients. Section 6.3 Checkpoint 8 Solving a System Using Elimination

Eliminate one of the variables by adding or subtracting. Then solve for the second variable using substitution. Section 6.3 Checkpoint 9 Solving a System Using Elimination

Section 6.3 Checkpoint 10 Solving a System Using Elimination Multiply one or both equations to create two terms that will eliminate one of the variables by adding or subtracting.

Section 6.3 Checkpoint 11 Solving a System Using Elimination You must first decide which term you want to eliminate. Then multiply one or both equations to create opposite terms.

For a fundraising event, you sell rolls of gift wrap and boxes of greeting cards. The gift wrap is $4 per roll and the cards are $10 per box. You sell a total of 205 rolls and boxes and receive $1084. a. Write a system that describes this situation: Assign variables.Model the situation. Section 6.4 Checkpoint 12 Solving System Application Problem

b. Now solve the system to find the number of rolls of wrap and boxes of cards sold: Section 6.4 Checkpoint 12 con’t. Solving System Application Problem

Chapter 6 Systems of Equations Tues Feb 28, 2012 Today we will learn how to find the solution to a system of equations by graphing and determine the number of solutions for a system. 6.1 Solving Systems by Graphing

x y x y Section 6.1 Checkpoint 1 Solving a Linear System by Graphing Solve the system of equations by graphing and identify the solution coordinate as (x, y).

x y x y Section 6.1 Checkpoint 2 Solving a Linear System by Graphing Solve the system of equations by graphing and identify the solution coordinate as (x, y). (Use y = mx + b) horizontal line vertical line

Section 6.1 Checkpoint 3 Determining the Number of Solutions Solve each system by graphing. Find the number of solutions. x y x y x y

Assignment Sheet Tues 2/28 Algebra 1-Mr. Gualandri Rm Name ______________________ Unit 11 Linear Systems Portfolio Assignment List 12/28 TB p. 385 #11-16 – In class – Use graph paper & ruler 22/28 TB p. 386 #20-23 – HW – Use graph paper & ruler

12/28 TB p. 385 #11-16 – In class – Use graph paper & ruler

22/28 TB p. 386 #20-23 – HW – Use graph paper & ruler

Chapter 6 Systems of Equations Wed Feb 29, 2012 Today we will learn how to solve a system of equations algebraically using the substitution method. 6.2 Solving Systems by Substitution

(2,0) (-7,-15) Solve by substituting the value of one equation into the other. Section 6.2 Checkpoint 4 Solving a System Using Substitution

Section 6.2 Checkpoint 5 Solving a System Using Substitution Solve by substituting the value of one equation into the other. Begin by solving one of the equations for y.

Assignment Sheet Wed 2/29 Algebra 1-Mr. Gualandri Rm Name ______________________ Unit 11 Linear Systems Portfolio Assignment List 12/28 TB p. 385 #11-16 – In class – Use graph paper & ruler 22/28 TB p. 386 #20-23 – HW – Use graph paper & ruler 32/29 TB p. 394 #12-17 – In class/Finish HW

3

Chapter 6 Systems of Equations Thursday Mar. 1, 2012 Today we will. 6.2 Solving Systems by Substitution

Section 6.2 Checkpoint 6 Solving a System Using Substitution

Section 6.2 Checkpoint 7 Solving Using Substitution: Special Solutions

Assignment Sheet Wed 2/29 Algebra 1-Mr. Gualandri Rm Name ______________________ Unit 11 Linear Systems Portfolio Assignment List 12/28 TB p. 385 #11-16 – In class – Use graph paper & ruler 22/28 TB p. 386 #20-23 – HW – Use graph paper & ruler 32/29 TB p. 394 #12-17 – In class/Finish HW 43/1 TB p. 395 #34-36 – In class – Use Graph paper & ruler 53/1 TB p. 394 #21-23 all – In class/Finish HW

43/1 TB p. 395 #34-36 – In class – Use Graph paper & ruler 53/1 TB p. 394 #21-23 all – In class/Finish HW

Chapter 6 Systems of Equations Monday March 5, 2012 Today we will learn how to solve systems of equations using the elimination method. 6.3 Solving Systems by Elimination

61/23 TB p. 404 #29-31 – In class

Solve by adding or subtracting the equations to eliminate one of the variables. Look for terms with the same coefficients. Section 6.3 Checkpoint 8 Solving a System Using Elimination + – ( )

Eliminate one of the variables by adding or subtracting. Then solve for the second variable using substitution. Section 6.3 Checkpoint 9 Solving a System Using Elimination + – ( )

Assignment Sheet Monday 3/1 Algebra 1-Mr Gualandri Name ______________________ Unit 11 Linear Systems Portfolio Assignment List 12/28 TB p. 385 #11-16 – In class – Use graph paper & ruler 22/28 TB p. 386 #20-23 – HW – Use graph paper & ruler 32/29 TB p. 394 #12-17 – In class/Finish HW 43/1 TB p. 395 #34-36 – In class – Use Graph paper & ruler 53/1 TB p. 394 #21-23 all – In class/Finish HW 63/5 TB p. 404 #29-31 – In class 73/5 TB p. 398 #6-11 – In class/Finish HW

7

Chapter 6 Systems of Equations Tues March 6, 2012 Today we will practice additional problems that solve systems of equations with the elimination method. 6.3 Solving Systems by Elimination

Section 6.3 Checkpoint 10 Solving a System Using Elimination Multiply one or both equations to create two terms that will eliminate one of the variables by adding or subtracting. + +

Section 6.3 Checkpoint 11 Solving a System Using Elimination You must first decide which term you want to eliminate. Then multiply one or both equations to create opposite terms. + +

Assignment Sheet Tues 3/6 Algebra 1-Mr. Gualandri Rm Name ______________________ Unit 11 Linear Systems Portfolio Assignment List 43/1 TB p. 395 #34-36 – In class – Use Graph paper & ruler 53/1 TB p. 394 #21-23 all – In class/Finish HW 63/5 TB p. 404 #29-31 – In class 73/5 TB p. 398 #6-11 – In class/Finish HW 83/6 WS Extra Practice 6-1, 6-2, 6-3 #1-9 – In class 93/6 TB p. 402 #6-9 – In class/Finish HW

91/25 TB p. 402 #6-9 – In class/Finish HW

Chapter 6 Systems of Equations Thursday Jan 26, 2012 Today we will apply systems of equations to word problems. 6.4 Applications of Systems

Assignment Sheet Friday 1/27 Algebra 1-Mr. Whitney Rm Name ______________________ Unit 11 Linear Systems Portfolio Assignment List 61/23 TB p. 404 #29-31 – In class 71/23 TB p. 398 #6-11 – In class/Finish HW 81/24 WS Extra Practice 6-1, 6-2, 6-3 #1-9 – In class 91/25 TB p. 402 #6-9 – In class/Finish HW 101/26 WS Word Problems #1-7 – In class 111/26 TB p. 409 #9-12 – In class/Finish HW 121/27 WB p. 179 #1-4 – In class

Assignment Sheet Friday 1/27 Algebra 1-Mr. Whitney Rm Name ______________________ Unit 11 Linear Systems Portfolio Assignment List 61/23 TB p. 404 #29-31 – In class 71/23 TB p. 398 #6-11 – In class/Finish HW 81/24 WS Extra Practice 6-1, 6-2, 6-3 #1-9 – In class 91/25 TB p. 402 #6-9 – In class/Finish HW 101/26 WS Word Problems #1-7 – In class 111/26 TB p. 409 #9-12 – In class/Finish HW 121/27 WB p. 179 #1-4 – In class

For a fundraising event, you sell rolls of gift wrap and boxes of greeting cards. The gift wrap is $4 per roll and the cards are $10 per box. You sell a total of 205 rolls and boxes and receive $1084. a. Write a system that describes this situation: Assign variables. x = rolls of gift wrap y = boxes of cards Model the situation. This is the system that models the situation. Section 6.4 Checkpoint 12 Solving System Application Problem

b. Now solve the system to find the number of rolls of wrap and boxes of cards sold: 161 rolls of wrap sold and 44 boxes of cards. Section 6.4 Checkpoint 12 con’t. Solving System Application Problem

111/26 TB p. 409 #9-12 – In class/Finish HW

Chapter 6 Systems of Equations Friday Jan 27, 2012 Today we will. 6.4 Applications of Systems

Chapter 6 Systems of Equations Tuesday Jan 31, 2012 Today we will review sections and complete the Unit 11 test review.

131/31 Test Review TB p. 412 #1-20 all – In class /Finish HW

Chapter 6 Systems of Equations Tuesday Jan 31, 2012 Today we will turn in the Unit 11 portfolio and take the Unit 11 test.

131/31 Test Review TB p. 412 #1-20 all – In class /Finish HW

131/31 Test Review TB p. 412 #1-20 all – In class /Finish HW