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Believe you can and you're halfway there. - Algebra 2...Believe you can and you're halfway there....

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Lesson 21 and 22A 1 December 17, 2012 Warm Up: Believe you can and you're halfway there. Theodore Roosevelt
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Page 1: Believe you can and you're halfway there. - Algebra 2...Believe you can and you're halfway there. Theodore Roosevelt Lesson 2 1 and 2 2A 2 December 17, 2012 Lesson 2 1 and 2 2A 3 December

Lesson 2­1 and 2­2A

1

December 17, 2012

Warm Up:

Believe you can and you're halfway there.

­Theodore Roosevelt

Page 2: Believe you can and you're halfway there. - Algebra 2...Believe you can and you're halfway there. Theodore Roosevelt Lesson 2 1 and 2 2A 2 December 17, 2012 Lesson 2 1 and 2 2A 3 December

Lesson 2­1 and 2­2A

2

December 17, 2012

Page 3: Believe you can and you're halfway there. - Algebra 2...Believe you can and you're halfway there. Theodore Roosevelt Lesson 2 1 and 2 2A 2 December 17, 2012 Lesson 2 1 and 2 2A 3 December

Lesson 2­1 and 2­2A

3

December 17, 2012

Page 4: Believe you can and you're halfway there. - Algebra 2...Believe you can and you're halfway there. Theodore Roosevelt Lesson 2 1 and 2 2A 2 December 17, 2012 Lesson 2 1 and 2 2A 3 December

Lesson 2­1 and 2­2A

4

December 17, 2012

We will start off by solving for variables.  Stuff you have been doing since Algebra I.  To get the variable by itself do the inverse (opposite) operations and get it by itself.Steps:1) Simplify by Distributive Property and combining like terms.2) Get variable by itself.

Page 5: Believe you can and you're halfway there. - Algebra 2...Believe you can and you're halfway there. Theodore Roosevelt Lesson 2 1 and 2 2A 2 December 17, 2012 Lesson 2 1 and 2 2A 3 December

Lesson 2­1 and 2­2A

5

December 17, 2012

Page 6: Believe you can and you're halfway there. - Algebra 2...Believe you can and you're halfway there. Theodore Roosevelt Lesson 2 1 and 2 2A 2 December 17, 2012 Lesson 2 1 and 2 2A 3 December

Lesson 2­1 and 2­2A

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December 17, 2012

Sometimes variables are on both sides of the equation.  This just adds an extra step.  The first thing to do is get all the variables to one side by adding or subtracting x to move it to the other side.

Page 7: Believe you can and you're halfway there. - Algebra 2...Believe you can and you're halfway there. Theodore Roosevelt Lesson 2 1 and 2 2A 2 December 17, 2012 Lesson 2 1 and 2 2A 3 December

Lesson 2­1 and 2­2A

7

December 17, 2012

Page 8: Believe you can and you're halfway there. - Algebra 2...Believe you can and you're halfway there. Theodore Roosevelt Lesson 2 1 and 2 2A 2 December 17, 2012 Lesson 2 1 and 2 2A 3 December

Lesson 2­1 and 2­2A

8

December 17, 2012

Write an equation containing one variable.  Have a partner solve it.

Page 9: Believe you can and you're halfway there. - Algebra 2...Believe you can and you're halfway there. Theodore Roosevelt Lesson 2 1 and 2 2A 2 December 17, 2012 Lesson 2 1 and 2 2A 3 December

Lesson 2­1 and 2­2A

9

December 17, 2012

Steps for identities and contradictions:

1) Solve like an equation with variables on both sides.  The variables will disappear!2) If the equation left is true (such as 6=6) then you have an identity.  If it is false (such as 4=7) then you have a contradiction.

Page 10: Believe you can and you're halfway there. - Algebra 2...Believe you can and you're halfway there. Theodore Roosevelt Lesson 2 1 and 2 2A 2 December 17, 2012 Lesson 2 1 and 2 2A 3 December

Lesson 2­1 and 2­2A

10

December 17, 2012

Page 11: Believe you can and you're halfway there. - Algebra 2...Believe you can and you're halfway there. Theodore Roosevelt Lesson 2 1 and 2 2A 2 December 17, 2012 Lesson 2 1 and 2 2A 3 December

Lesson 2­1 and 2­2A

11

December 17, 2012

Page 12: Believe you can and you're halfway there. - Algebra 2...Believe you can and you're halfway there. Theodore Roosevelt Lesson 2 1 and 2 2A 2 December 17, 2012 Lesson 2 1 and 2 2A 3 December

Lesson 2­1 and 2­2A

12

December 17, 2012

Solving inequalities is the exact same as an equation, but remember...

When dividing or multiplying by a negative number the inequality sign has to flip the opposite way!

To graph:1) Choose open or closed circle.2) Test a number to see which way the arrow should point.

Page 13: Believe you can and you're halfway there. - Algebra 2...Believe you can and you're halfway there. Theodore Roosevelt Lesson 2 1 and 2 2A 2 December 17, 2012 Lesson 2 1 and 2 2A 3 December

Lesson 2­1 and 2­2A

13

December 17, 2012

Write yourself an inequality with one variable, solve it and graph it.

Page 14: Believe you can and you're halfway there. - Algebra 2...Believe you can and you're halfway there. Theodore Roosevelt Lesson 2 1 and 2 2A 2 December 17, 2012 Lesson 2 1 and 2 2A 3 December

Lesson 2­1 and 2­2A

14

December 17, 2012

Page 15: Believe you can and you're halfway there. - Algebra 2...Believe you can and you're halfway there. Theodore Roosevelt Lesson 2 1 and 2 2A 2 December 17, 2012 Lesson 2 1 and 2 2A 3 December

Lesson 2­1 and 2­2A

15

December 17, 2012

Steps to solve a proportion:

1) Cross multiply...remember that you may have to use the distributive property.2) Solve for the variable.

Page 16: Believe you can and you're halfway there. - Algebra 2...Believe you can and you're halfway there. Theodore Roosevelt Lesson 2 1 and 2 2A 2 December 17, 2012 Lesson 2 1 and 2 2A 3 December

Lesson 2­1 and 2­2A

16

December 17, 2012

Page 17: Believe you can and you're halfway there. - Algebra 2...Believe you can and you're halfway there. Theodore Roosevelt Lesson 2 1 and 2 2A 2 December 17, 2012 Lesson 2 1 and 2 2A 3 December

Lesson 2­1 and 2­2A

17

December 17, 2012

Write your partner a proportion.  Have them solve it, check their work.

Homework:

p. 94 #22­38(evens), 49p. 101 #22­28(evens), 31, 53, 55

Present: 49, 53


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