algebra 1 - unit 4 - day 3 - systems with substitution ... · pdf filealgebra 1 unit 4...
TRANSCRIPT
Algebra 1 Unit 4 Day 3 Systems with substitution.notebook December 06, 2017
Solve the system of equations graphically and state the solution point.
1 2 3 4 5 6 7 9 1010 9 8 7 6 5 4 2 1312345678910
12345678
109
x
y
8
Algebra I 12/06/17Aim: What Other Method Can We Use to Solve a System When
Graphing Won't Help?HW: Solving Systems WS Day 3
DO NOW
Algebra 1 Unit 4 Day 3 Systems with substitution.notebook December 06, 2017
Solve the system of equations graphically
1 2 3 4 5 6 7 9 1010 9 8 7 6 5 4 2 131
23
45
678
910
1234567
8
10
9
x
y
8
Aim: What Other Method Can We Use to Solve a System When Graphing Won't Help?HW: Solving Systems WS Day 3
Algebra 1 Unit 4 Day 3 Systems with substitution.notebook December 06, 2017
Cartman is a boss...running the illegal KFC ring in South Park Colorado. He is going to get his customers hooked by charging very reasonable prices. For 5 pieces of chicken and 1 mashed potatoes he will charge $8. For 9 pieces of chicken and 1 mashed potatoes, he charges $13.
How much is he charging for the mashed potatoes?
Question: What are the unknowns in this situation that we would represent with variables? Together Write Equations
Aim: What Other Method Can We Use to Solve a System When Graphing Won't Help?HW: Solving Systems WS Day 3
Algebra 1 Unit 4 Day 3 Systems with substitution.notebook December 06, 2017
Let x = the cost of chickenLet y = the cost of the potatoes
What's the Problem Here???
Aim: What Other Method Can We Use to Solve a System When Graphing Won't Help?HW: Solving Systems WS Day 3
Cartman is a boss...running the illegal KFC ring in South Park Colorado. He is going to get his customers hooked by charging very reasonable prices. For 5 pieces of chicken and 1 mashed potatoes he will charge $8. For 9 pieces of chicken and 1 mashed potatoes, he charges $13.
How much is he charging for the mashed potatoes?
Algebra 1 Unit 4 Day 3 Systems with substitution.notebook December 06, 2017
New Method: Substitution Let x = the cost of chickenLet y = the cost of the potatoes
Cartman is a boss...running the illegal KFC ring in South Park Colorado. He is going to get his customers hooked by charging very reasonable prices. For 5 pieces of chicken and 1 mashed potatoes he will charge $8. For 9 pieces of chicken and 1 mashed potatoes, he charges $13.
How much is he charging for the mashed potatoes?
Aim: What Other Method Can We Use to Solve a System When Graphing Won't Help?HW: Solving Systems WS Day 3
Algebra 1 Unit 4 Day 3 Systems with substitution.notebook December 06, 2017
1) Isolate y in each equation
2) Set equivalent expressions equal to each other
3) Solve the resulting equation
4) Substitute in value for one variable in both equations to find the other x=
y=
Aim: What Other Method Can We Use to Solve a System When Graphing Won't Help?HW: Solving Systems WS Day 3
Algebra 1 Unit 4 Day 3 Systems with substitution.notebook December 06, 2017
Solving Systems of Equations Using Substitutiony = x + 1y 2x = 1
Aim: What Other Method Can We Use to Solve a System When Graphing Won't Help?HW: Solving Systems WS Day 3
Ex. 1
1) Isolate y in each equation
2) Set equivalent expressions equal to each other
3) Solve the resulting equation
4) Substitute in value for one variable in both equations to find the other
Algebra 1 Unit 4 Day 3 Systems with substitution.notebook December 06, 2017
Solving Systems of Equations Using Substitution
2x + y = 6x y = 3
Aim: What Other Method Can We Use to Solve a System When Graphing Won't Help?HW: Solving Systems WS Day 3
Ex. 2
1) Isolate y in each equation
2) Set equivalent expressions equal to each other
3) Solve the resulting equation
4) Substitute in value for one variable in both equations to find the other
Algebra 1 Unit 4 Day 3 Systems with substitution.notebook December 06, 2017
1) When is using substitution a better method than graphing?
2) How do we solve for each variable using substitution?
3) How do we know our solution is correct?
Aim: What Other Method Can We Use to Solve a System When Graphing Won't Help?HW: Solving Systems WS Day 3
Algebra 1 Unit 4 Day 3 Systems with substitution.notebook December 06, 2017
mathsims.wordpress.comLesson Slides, Resources and More!
Get a head start on your Homework!!!
Aim: What Other Method Can We Use to Solve a System When Graphing Won't Help?HW: Solving Systems WS Day 3