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11_ 4.14 solve and graph one var inequalities A5.notebook 1 October 18, 2013 Bell Ringer: (a) (b) (c)

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Page 1: Bell Ringer: (b) (c) - Mrs. Pisani's Math Classescpisani.weebly.com/.../3/8693055/11__4.14_solve_and_graph_one_var_inequalities_w_notes.pdfBell Ringer: Write an equation for the following

11_ 4.14 solve and graph one var inequalities A5.notebook

1

October 18, 2013

Bell Ringer:

(a)

(b)

(c)

Page 2: Bell Ringer: (b) (c) - Mrs. Pisani's Math Classescpisani.weebly.com/.../3/8693055/11__4.14_solve_and_graph_one_var_inequalities_w_notes.pdfBell Ringer: Write an equation for the following

11_ 4.14 solve and graph one var inequalities A5.notebook

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October 18, 2013

Bell Ringer: Write an equation for the following situation. Then solve.

When Vincent and Jeffrey played 9 games of chess, Vincent won 2 times as many games as Jeffrey did. How many games did each of them win?

Page 3: Bell Ringer: (b) (c) - Mrs. Pisani's Math Classescpisani.weebly.com/.../3/8693055/11__4.14_solve_and_graph_one_var_inequalities_w_notes.pdfBell Ringer: Write an equation for the following

11_ 4.14 solve and graph one var inequalities A5.notebook

3

October 18, 2013

Check your homework: Word Problems wksht

Page 4: Bell Ringer: (b) (c) - Mrs. Pisani's Math Classescpisani.weebly.com/.../3/8693055/11__4.14_solve_and_graph_one_var_inequalities_w_notes.pdfBell Ringer: Write an equation for the following

11_ 4.14 solve and graph one var inequalities A5.notebook

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October 18, 2013

Page 5: Bell Ringer: (b) (c) - Mrs. Pisani's Math Classescpisani.weebly.com/.../3/8693055/11__4.14_solve_and_graph_one_var_inequalities_w_notes.pdfBell Ringer: Write an equation for the following

11_ 4.14 solve and graph one var inequalities A5.notebook

5

October 18, 2013

Page 6: Bell Ringer: (b) (c) - Mrs. Pisani's Math Classescpisani.weebly.com/.../3/8693055/11__4.14_solve_and_graph_one_var_inequalities_w_notes.pdfBell Ringer: Write an equation for the following

11_ 4.14 solve and graph one var inequalities A5.notebook

6

October 18, 2013

Page 7: Bell Ringer: (b) (c) - Mrs. Pisani's Math Classescpisani.weebly.com/.../3/8693055/11__4.14_solve_and_graph_one_var_inequalities_w_notes.pdfBell Ringer: Write an equation for the following

11_ 4.14 solve and graph one var inequalities A5.notebook

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October 18, 2013

Lesson 4.14

Objective: SWBAT solve and graph one variable inequalities.

Page 8: Bell Ringer: (b) (c) - Mrs. Pisani's Math Classescpisani.weebly.com/.../3/8693055/11__4.14_solve_and_graph_one_var_inequalities_w_notes.pdfBell Ringer: Write an equation for the following

11_ 4.14 solve and graph one var inequalities A5.notebook

8

October 18, 2013

INEQUALITIES REVIEW!

Less than

Greater than

Less than or equal to

Greater than or equal to

Inequality Symbol

≤≥

<>

Graph

Open circle

Closed circle

Page 9: Bell Ringer: (b) (c) - Mrs. Pisani's Math Classescpisani.weebly.com/.../3/8693055/11__4.14_solve_and_graph_one_var_inequalities_w_notes.pdfBell Ringer: Write an equation for the following

11_ 4.14 solve and graph one var inequalities A5.notebook

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October 18, 2013

Practice: Graph each inequality on a number line.

(a) x < -4

(b) 3 ≤ y

(c) -2 < x ≤ 5

Page 10: Bell Ringer: (b) (c) - Mrs. Pisani's Math Classescpisani.weebly.com/.../3/8693055/11__4.14_solve_and_graph_one_var_inequalities_w_notes.pdfBell Ringer: Write an equation for the following

11_ 4.14 solve and graph one var inequalities A5.notebook

10

October 18, 2013

Page 11: Bell Ringer: (b) (c) - Mrs. Pisani's Math Classescpisani.weebly.com/.../3/8693055/11__4.14_solve_and_graph_one_var_inequalities_w_notes.pdfBell Ringer: Write an equation for the following

11_ 4.14 solve and graph one var inequalities A5.notebook

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October 18, 2013

Solving InequalitiesYou solve an inequality just like an equation, except...

*The direction of the inequality must reverse each time the problem is multiplied or divided by a negative number.

­2 < 3 is true

multiply by ­1:

­2 ≥ ­4 is true

divide by ­2:

Check out an example of how this works:

Page 12: Bell Ringer: (b) (c) - Mrs. Pisani's Math Classescpisani.weebly.com/.../3/8693055/11__4.14_solve_and_graph_one_var_inequalities_w_notes.pdfBell Ringer: Write an equation for the following

11_ 4.14 solve and graph one var inequalities A5.notebook

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October 18, 2013

Example: Solve each inequality. Then graph the solution on a number line.

(a) (b) 

Page 13: Bell Ringer: (b) (c) - Mrs. Pisani's Math Classescpisani.weebly.com/.../3/8693055/11__4.14_solve_and_graph_one_var_inequalities_w_notes.pdfBell Ringer: Write an equation for the following

11_ 4.14 solve and graph one var inequalities A5.notebook

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October 18, 2013

Extra practice: Complete the solving and graphing inequalities worksheets

Page 14: Bell Ringer: (b) (c) - Mrs. Pisani's Math Classescpisani.weebly.com/.../3/8693055/11__4.14_solve_and_graph_one_var_inequalities_w_notes.pdfBell Ringer: Write an equation for the following

11_ 4.14 solve and graph one var inequalities A5.notebook

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October 18, 2013

HW: 1. Finish inequalities worksheet2. Continue to STUDY for your Unit 1 TEST(ch 2) (Next class we will review)

Test topics: 1. all of Unit 1 Quiz #1 and #2 PLUS2. Solving equations containing fractions3. solving multi-variable equations for 1 variable4. writing equations and solving word problems5. solving and graphing one-variable inequalities

Page 15: Bell Ringer: (b) (c) - Mrs. Pisani's Math Classescpisani.weebly.com/.../3/8693055/11__4.14_solve_and_graph_one_var_inequalities_w_notes.pdfBell Ringer: Write an equation for the following

11_ 4.14 solve and graph one var inequalities A5.notebook

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October 18, 2013