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2016 March 18 Alg.notebook 1 March 21, 2016 1. Warm-up 2. Inequalities 3. Classwork - u p Turn -in Word Problems

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Page 1: 1. Warm-up 2. Inequalities 3. Classworkgoldenalgebra1.weebly.com/.../8462678/2016_alg_1march_18.pdf2016 March 18 Alg.notebook 8 March 21, 2016 D daily Cost M Cost Per Mile 6D+550M=337

2016 March 18 Alg.notebook

1

March 21, 2016

1. Warm-up

2. Inequalities

3. Classwork

-up

Turn -in Word Problems

Page 2: 1. Warm-up 2. Inequalities 3. Classworkgoldenalgebra1.weebly.com/.../8462678/2016_alg_1march_18.pdf2016 March 18 Alg.notebook 8 March 21, 2016 D daily Cost M Cost Per Mile 6D+550M=337

2016 March 18 Alg.notebook

2

March 21, 2016

The band is selling wrapping paper for a fundraiser. 

Customers can buy rolls of plain wrapping paper and rolls of shiny wrapping paper. 

The band sold a total of 55 rolls and made $950. 

If a roll of plain costs $14 and a roll of shiny costs $20, how many rolls of each did they sell?

Warm-up - Complete on Paper

Just show your work - turn in

Page 3: 1. Warm-up 2. Inequalities 3. Classworkgoldenalgebra1.weebly.com/.../8462678/2016_alg_1march_18.pdf2016 March 18 Alg.notebook 8 March 21, 2016 D daily Cost M Cost Per Mile 6D+550M=337

2016 March 18 Alg.notebook

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March 21, 2016

Mar 18­10:25 AM

P = plain wrapping paper

S = shiny wrapping paper Sold 55 Rolls

Made $950

Plain costs $14

Shiny cost $20

P+S=55

14P+20S=950

Page 4: 1. Warm-up 2. Inequalities 3. Classworkgoldenalgebra1.weebly.com/.../8462678/2016_alg_1march_18.pdf2016 March 18 Alg.notebook 8 March 21, 2016 D daily Cost M Cost Per Mile 6D+550M=337

2016 March 18 Alg.notebook

4

March 21, 2016

Mar 18­10:28 AM

Page 5: 1. Warm-up 2. Inequalities 3. Classworkgoldenalgebra1.weebly.com/.../8462678/2016_alg_1march_18.pdf2016 March 18 Alg.notebook 8 March 21, 2016 D daily Cost M Cost Per Mile 6D+550M=337

2016 March 18 Alg.notebook

5

March 21, 2016

Mar 18­10:35 AM

Page 6: 1. Warm-up 2. Inequalities 3. Classworkgoldenalgebra1.weebly.com/.../8462678/2016_alg_1march_18.pdf2016 March 18 Alg.notebook 8 March 21, 2016 D daily Cost M Cost Per Mile 6D+550M=337

2016 March 18 Alg.notebook

6

March 21, 2016

A ­ Adult TicketsC ­ Children Tickets

A+C=21

6A+4C=105

C­ Chicken

S ­ Steak

C+S=6

14.80C+17S=91

Page 7: 1. Warm-up 2. Inequalities 3. Classworkgoldenalgebra1.weebly.com/.../8462678/2016_alg_1march_18.pdf2016 March 18 Alg.notebook 8 March 21, 2016 D daily Cost M Cost Per Mile 6D+550M=337

2016 March 18 Alg.notebook

7

March 21, 2016

H ­Hot Dog Pacs

B ­ Hamburger Pacs

H+B=8

1.60H+5B=23

P ­ Pizza Cost

B ­ Breadstick Cost

3P+2B=29.50

2P+3B=23.00

Page 8: 1. Warm-up 2. Inequalities 3. Classworkgoldenalgebra1.weebly.com/.../8462678/2016_alg_1march_18.pdf2016 March 18 Alg.notebook 8 March 21, 2016 D daily Cost M Cost Per Mile 6D+550M=337

2016 March 18 Alg.notebook

8

March 21, 2016

D ­ daily Cost

M ­ Cost Per Mile

6D+550M=337

3D+350D=185

H ­ Hotel Cost per night

M = Cost of meal

2H+3M=195

3H+5M = 300

Page 9: 1. Warm-up 2. Inequalities 3. Classworkgoldenalgebra1.weebly.com/.../8462678/2016_alg_1march_18.pdf2016 March 18 Alg.notebook 8 March 21, 2016 D daily Cost M Cost Per Mile 6D+550M=337

2016 March 18 Alg.notebook

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March 21, 2016

S = Cost Sugar per Pound

F = Cost Flour per Pound 

12S+15F= 9.30

4S+10F = 4.60

T ­ Taco Price

E ­ Enchilado

2T+2E=4.80

3T+E=4.00

Page 10: 1. Warm-up 2. Inequalities 3. Classworkgoldenalgebra1.weebly.com/.../8462678/2016_alg_1march_18.pdf2016 March 18 Alg.notebook 8 March 21, 2016 D daily Cost M Cost Per Mile 6D+550M=337

2016 March 18 Alg.notebook

10

March 21, 2016

H ­ Hotel Cost

B ­ Baseball ticket cost

3H+2B=195

5H+4B=1135

B ­ #Balcony Tickets

O ­ # Orchestra Tickets

B+O=600

5B+10O=4750

Page 11: 1. Warm-up 2. Inequalities 3. Classworkgoldenalgebra1.weebly.com/.../8462678/2016_alg_1march_18.pdf2016 March 18 Alg.notebook 8 March 21, 2016 D daily Cost M Cost Per Mile 6D+550M=337

2016 March 18 Alg.notebook

11

March 21, 2016

Mar 18­1:21 PM

#11 C ­Cotton Socks

W ­ Wool Socks

C+W = 5

3C+5W = 19

12.    L ­ left handed gloves

         R ­ right handed gloves

          R+L=12

       48R +36L = 

Page 12: 1. Warm-up 2. Inequalities 3. Classworkgoldenalgebra1.weebly.com/.../8462678/2016_alg_1march_18.pdf2016 March 18 Alg.notebook 8 March 21, 2016 D daily Cost M Cost Per Mile 6D+550M=337

2016 March 18 Alg.notebook

12

March 21, 2016

Graphing Linear Inequalities and Linear Systems of equations

1. Understand the symbols

Greater than and Less than will be a

dotted line.

Greater than and equal to

Less than and equal to will be solid lines

2. Graph points like we did for normal lines

Slope intercept

Table of values

X and Y intercepts

3. Sketch the appropriate line

Linear Inequalites

Page 13: 1. Warm-up 2. Inequalities 3. Classworkgoldenalgebra1.weebly.com/.../8462678/2016_alg_1march_18.pdf2016 March 18 Alg.notebook 8 March 21, 2016 D daily Cost M Cost Per Mile 6D+550M=337

2016 March 18 Alg.notebook

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March 21, 2016

4. Linear inequalities have many solutions

indicated by shading a portion of the graph.

a. Pick an ordered pair as a test point.

(0,0) is usually the best choice

b. substitue the values into your equality

c. If statement is true then shade the space including (0,0)

If the statement is false shade the space that does not include (0,0).

Page 14: 1. Warm-up 2. Inequalities 3. Classworkgoldenalgebra1.weebly.com/.../8462678/2016_alg_1march_18.pdf2016 March 18 Alg.notebook 8 March 21, 2016 D daily Cost M Cost Per Mile 6D+550M=337

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March 21, 2016

Less than requires a dotted line because

points on the line are not solutions to the inquality.

True so Shade where

(0,0) is included

Page 15: 1. Warm-up 2. Inequalities 3. Classworkgoldenalgebra1.weebly.com/.../8462678/2016_alg_1march_18.pdf2016 March 18 Alg.notebook 8 March 21, 2016 D daily Cost M Cost Per Mile 6D+550M=337

2016 March 18 Alg.notebook

15

March 21, 2016

Sep 29­9:41 AM

Page 16: 1. Warm-up 2. Inequalities 3. Classworkgoldenalgebra1.weebly.com/.../8462678/2016_alg_1march_18.pdf2016 March 18 Alg.notebook 8 March 21, 2016 D daily Cost M Cost Per Mile 6D+550M=337

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March 21, 2016

Less than and equal requires a solid line because

points on the line are solutions to the inquality.

True so Shade where

(0,0) is included

Page 17: 1. Warm-up 2. Inequalities 3. Classworkgoldenalgebra1.weebly.com/.../8462678/2016_alg_1march_18.pdf2016 March 18 Alg.notebook 8 March 21, 2016 D daily Cost M Cost Per Mile 6D+550M=337

2016 March 18 Alg.notebook

17

March 21, 2016

Sep 29­9:41 AM

Page 18: 1. Warm-up 2. Inequalities 3. Classworkgoldenalgebra1.weebly.com/.../8462678/2016_alg_1march_18.pdf2016 March 18 Alg.notebook 8 March 21, 2016 D daily Cost M Cost Per Mile 6D+550M=337

2016 March 18 Alg.notebook

18

March 21, 2016

Sep 29­9:41 AM

Page 19: 1. Warm-up 2. Inequalities 3. Classworkgoldenalgebra1.weebly.com/.../8462678/2016_alg_1march_18.pdf2016 March 18 Alg.notebook 8 March 21, 2016 D daily Cost M Cost Per Mile 6D+550M=337

2016 March 18 Alg.notebook

19

March 21, 2016

Mar 18­2:37 PM

Page 20: 1. Warm-up 2. Inequalities 3. Classworkgoldenalgebra1.weebly.com/.../8462678/2016_alg_1march_18.pdf2016 March 18 Alg.notebook 8 March 21, 2016 D daily Cost M Cost Per Mile 6D+550M=337

2016 March 18 Alg.notebook

20

March 21, 2016

Graphing Linear Inequalities and Linear Systems of equations

1. Understand the symbols

Greater than and Less than will be a

dotted line.

Greater than and equal to

Less than and equal to will be solid lines

2. Graph points like we did for normal lines

Slope intercept

Table of values

X and Y intercepts

3. When you have a system of linear inequalites you must Sketch 2 appropriate lines.

Systems Linear Inequalites

Page 21: 1. Warm-up 2. Inequalities 3. Classworkgoldenalgebra1.weebly.com/.../8462678/2016_alg_1march_18.pdf2016 March 18 Alg.notebook 8 March 21, 2016 D daily Cost M Cost Per Mile 6D+550M=337

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March 21, 2016

4. Linear inequalities have many solutions

indicated by shading a portion of the graph.

a. Pick an ordered pair as a test point.

(0,0) is usually the best choice

b. substitue the values into your equality

c. If statement is true then shade the space including (0,0)

If the statement is false shade the space that does not include (0,0).

Complete this step for each inequality

Where the shading overlaps that's your solution.

Page 22: 1. Warm-up 2. Inequalities 3. Classworkgoldenalgebra1.weebly.com/.../8462678/2016_alg_1march_18.pdf2016 March 18 Alg.notebook 8 March 21, 2016 D daily Cost M Cost Per Mile 6D+550M=337

2016 March 18 Alg.notebook

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March 21, 2016

less than so the line is dotted

Substitute (0,0)

Page 23: 1. Warm-up 2. Inequalities 3. Classworkgoldenalgebra1.weebly.com/.../8462678/2016_alg_1march_18.pdf2016 March 18 Alg.notebook 8 March 21, 2016 D daily Cost M Cost Per Mile 6D+550M=337

2016 March 18 Alg.notebook

23

March 21, 2016

Mar 18­2:46 PM

Page 24: 1. Warm-up 2. Inequalities 3. Classworkgoldenalgebra1.weebly.com/.../8462678/2016_alg_1march_18.pdf2016 March 18 Alg.notebook 8 March 21, 2016 D daily Cost M Cost Per Mile 6D+550M=337

2016 March 18 Alg.notebook

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March 21, 2016

greater than and equal so the line is solidSubstitute (0,0)

Page 25: 1. Warm-up 2. Inequalities 3. Classworkgoldenalgebra1.weebly.com/.../8462678/2016_alg_1march_18.pdf2016 March 18 Alg.notebook 8 March 21, 2016 D daily Cost M Cost Per Mile 6D+550M=337

2016 March 18 Alg.notebook

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March 21, 2016

Page 26: 1. Warm-up 2. Inequalities 3. Classworkgoldenalgebra1.weebly.com/.../8462678/2016_alg_1march_18.pdf2016 March 18 Alg.notebook 8 March 21, 2016 D daily Cost M Cost Per Mile 6D+550M=337

2016 March 18 Alg.notebook

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March 21, 2016

Page 27: 1. Warm-up 2. Inequalities 3. Classworkgoldenalgebra1.weebly.com/.../8462678/2016_alg_1march_18.pdf2016 March 18 Alg.notebook 8 March 21, 2016 D daily Cost M Cost Per Mile 6D+550M=337

2016 March 18 Alg.notebook

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March 21, 2016

Mar 18­2:58 PM

gt

Page 28: 1. Warm-up 2. Inequalities 3. Classworkgoldenalgebra1.weebly.com/.../8462678/2016_alg_1march_18.pdf2016 March 18 Alg.notebook 8 March 21, 2016 D daily Cost M Cost Per Mile 6D+550M=337

2016 March 18 Alg.notebook

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March 21, 2016

Page 29: 1. Warm-up 2. Inequalities 3. Classworkgoldenalgebra1.weebly.com/.../8462678/2016_alg_1march_18.pdf2016 March 18 Alg.notebook 8 March 21, 2016 D daily Cost M Cost Per Mile 6D+550M=337

2016 March 18 Alg.notebook

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March 21, 2016

Page 30: 1. Warm-up 2. Inequalities 3. Classworkgoldenalgebra1.weebly.com/.../8462678/2016_alg_1march_18.pdf2016 March 18 Alg.notebook 8 March 21, 2016 D daily Cost M Cost Per Mile 6D+550M=337

2016 March 18 Alg.notebook

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March 21, 2016

Page 31: 1. Warm-up 2. Inequalities 3. Classworkgoldenalgebra1.weebly.com/.../8462678/2016_alg_1march_18.pdf2016 March 18 Alg.notebook 8 March 21, 2016 D daily Cost M Cost Per Mile 6D+550M=337

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March 21, 2016