Name: ____________________________________________________ Class Period: _____________

4.5

Grade

Objective & Practice: Quiz

Video/Notes: Systems of Inequalites

Objective & Practice: Systems of Inequalites

Video/Notes: None!

Objective & Practice: Applications of Systems

Video/Notes: None!

Objective & Practice: Review

Video/Notes: None!

Objective & Practice: Test

Video/Notes:Integer Exponents (Notes & Foldable)

Notes Grade: _______________________ HW Grade: ________________________

Frid

ay

2/7/2014

Wed

nes

day

2/5/2014

Thu

rsda

y

2/6/2014

PreAP Algebra 1 AgendaM

onda

y

2/3/2014

Tues

day

2/4/2014

Monday Tuesday

Wednesday Thursday

Friday

PAP Algebra I: Unit 6 – Solving Systems of Inequalities

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hours mowing

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Student Notes – Solving Systems of Inequalities pp 421-427 Solve each by graphing, then name one point that lies in the solution area.

1. 2 42 8

x yy x+ ≤+ ≥

2. 3

8 4 12y

x y<− <

3. 22

x yx y+ ≤ −+ > −

4. 00

6

xyx y

>>+ <

5. Write the system of inequalities for the graph below.

6. Jamal makes $12 an hour mowing yards and $6 an hour raking

leaves. He cannot work more than 15 hours per week. Write and graph the two inequalities that Jamal can use to determine how many hours he needs to work at each job if he wants to earn at least $120 per week.

If Jamal decides to mow for 11 hours, what is the maximum number of hours he could rake? If Jamal decides to rake for 6 hours, what is the minimum number of hours he would need to mow?

Inequalities

___________________

____________________

PAP Algebra I: Unit 6 – Solving Systems of Inequalities

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Practice – Solving Systems of Inequalities pp 421-427 Name _____________________________________ Date ______________________ Period __________ 1. State which points are solutions to the system of inequalities graphed below. 2. Is (2, -3) a solution of the system of inequalities 8 2x y≥ − and 2 4 2y x< − − ? Solve each by graphing, then name one point that lies in the solution area.

3. 21

y xx≥≥ −

4. 1

2 1y xy x< −≤ +

5. 2 2 6

1x y

y x− >− ≤

6. 1

4 5 20y x

x y≥ ++ ≥

7. 2 6

2 2 5x yx y− > −+ ≥

8. 8

03

x yxy

+ ≤≥≥

Yes or No

A. (0, 0) ___________

B. (-3, 0) ___________

C. (-1, -5) ___________

D. (1, -2) ___________

E. (-4, 3) ___________

F. (-4, 0) ___________

PAP Algebra I: Unit 6 – Solving Systems of Inequalities

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A

B

C

D

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x

y

Write a system of inequalities for the graphs below. 9. 10.

11. For which point is 92

y ≥ − and 175

x < − ?

12. Jessica is buying hats for everyone invited to her birthday. The Party Store is selling party hats for $2

each and crowns for $5 each. Jessica expects no more than 20 people. A) Write and solve (by graphing) the system of inequalities to

find out how many party hats, x, and crowns, y, Jessica can buy if she does not want to spend more than $60.

B) Is the ordered pair (-5, 10) a solution to this situation?

C) Is the ordered pair (2.5, 8.5) a solution to this situation?

D) If Jessica decides to buy 9 party hats, what is the maximum number of crowns she can buy?

E) If Jessica decides to buy 6 crowns, what is the minimum

and maximum number of party hats she can buy?

Inequalities _____________________ ______________________

Inequalities _____________________ _____________________

A. Point A B. Point B C. Point C D. Point D

PAP Algebra I: Unit 6 – Applications of Systems Practice – Applications of Systems pp 383-411, 421-426 Name ____________________________________ Date _____________________ Period ___________ For each of the following, define the variables, write the system and then solve using the “best” method. 1. Coach P. made 4 shots in basketball practice this morning, no free throws. The combination of

3-pointers and 2-pointers totaled 11 points. How many baskets were 3-pointers?

2. Justin wants to plant peach and apple tress in his backyard. He can fit at most 12 trees. Each peach tree cost $60 and each apple tree costs $75. Justin only has $800 to spend. What a reasonable combination of peach and apple trees that Justin can plant?

3. Cody likes to snack on pecans and almonds. Pecans sell for $3 a pound and almonds sell for $4 a pound. Cody wants to buy a mixture of nuts that weighs no more than 5 pounds, and he plans to spend at most $18.00. Find three possible solutions to this situation.

4. Hunter has a jar of 368 nickels and dimes. The total value of the coins is $28.40. How many nickels and dimes does Hunter have?

5. Juan bought a total of 52 cans of Dr. Pepper and Sprite. There were three times as many cans of Dr. Pepper as Sprite. How many cans of Dr. Pepper did he buy?

PAP Algebra I: Unit 6 – Applications of Systems 6. Michael has a piggy bank that contains only nickels and quarters. He tried to remember how many

nickels and quarters that he put into his piggy bank last week. He knows that it was no more than 24 coins and that the value was at least $2.20. Find 2 possible solutions.

7. A jeweler plans to produce a ring made of silver and gold. The price of gold is approximately $10/g. The price of silver is approximately $0.15/g. She considers the following in deciding how much gold and silver to use in the ring:

• The total mass must be more than 10 g but less than 20 g. • The ring must contain at least 3 g of gold. • The total cost of the gold and silver must be less than $60.

A) Write and graph the four inequalities that describe this situation.

B) For one solution, find the mass of the ring and the cost of the gold and silver. 8. There is the same number of boys and girls on a school bus when it departs from school. At the first

stop, 4 boys get off the bus and nobody gets on. After the first stop, there are twice as many girls as boys on the bus. How many girls are on the bus?

9. The perimeter of the rectangle is 34 cm. The perimeter of the triangle is 30 cm. Find the values for m and n. m

n

m

n

n + 1

PAP Algebra I: Unit 7 – Integer Exponents Student Notes – Integer Exponents pp 446-448

Complete the missing values in the place value chart below:

Exponential Form

410 010 ∙ −110 −310

Decimal Form 1000 100 ∙ 0.1

Fraction Form ∙ 1

10

1100

Randi is a botanist who has taken over a study of a plant whose height doubles every day. The height of the plant is recorded on the table shown below. On the fourth day, after Randi took over, the plant was 16 inches tall.

1. Randi recorded the plant’s height on that fourth day in column 2 and in exponential form in column 3.

Complete the table for days 3, 2, 1 and 0 of the study.

2. What does Day 0 represent in the study? ___________________________________________________ 3. What does Day -1 represent in the study? ?

_________________________________________________

Day Height of Plant (in.)

Height Written in

Exponential Form

4 16 42

3 8

2

1

0

-1

-2

P R O P E R T I E S OF E X P O N E N T S

0a

−1a

m na a

( )m na

( )mab

m

n

aa