ALGEBRA CONCEPTS PA CORE 8 – COURSE 3 PRE ALGEBRA 2 - STUDENT WORKBOOK ...

APLRGEBARLAGCEOBNRCAEP2T-S PA CORE 8 ? COURSE 3

STUDENT WORKBOOK UNIT 3 - FUNCTIONS

Unit 3 Functions

4.1 Represent Relationships

4.2 Relations

4.3 Functions

4.4 Linear Functions 4.5 Compare Properties of Functions

4.6 Construct Functions 4.7 Linear and Nonlinear Functions 4.8 Quadratic Functions 4.9 Qualitative Graphs

PURPLE GREEN RED

7.1,

12.1

1.10, 7.1,

8.1

12.1 3.1

7.2,

8.2 12.2 3.3

7.3,

8.1, 8.3 12.3 3.4

3.4

3.8,

3.9

13.2 12.4 3.2

13.2 12.4

13.3

STUDY ISLAND TOPICS

Functions Linear Vs Nonlinear Linear Relationships

Name: __________________1_____________ Period ____

1

Lesson 1 Skills Practice

Representing Relationships

1. EXERCISE A fitness instructor exercises about 15 hours per week. a. Write an equation to find the total number of hours h the instructor exercises in any number of weeks w.

b. Use the equation to determine the total number of hours the instructor will exercise in 9 weeks.

Weeks, w

1 2 3 4

2. HOUSES A real estate company sells 8 houses per month. a. Write an equation to find the total number of houses h sold in any number of months m.

b. Use the equation to determine how many houses are sold in 15 months.

Months, m

1 2 3 4

3. MOVIES The graph shows the amount of money the Zimmerman family spends on movies each month. a. Write an equation to find the total amount of money c spent on movies in any number of months m.

b. Use the equation to determine how much they will spend on movies in one year.

Total Hours, h

15 30 45 60

Total Houses, h

8 16 24 32

4. SALES The graph shows the total cost of hats that are on sale at Hats Bonanza. a. Write an equation to find the total cost c of any number of hats h.

b. Use the equation to find the cost of 30 hats.

2 2

Lesson 1 Problem-Solving Practice

Representing Relationships

1. MEASUREMENT Use the table to write an equation to find the number of inches i in any number of meters m. Use the equation to find the number of inches in 9 meters.

Meters, m 1 2 3 4

Inches, i 39 78 117 156

2. TOOLS The table shows the total cost for a band saw and extra blades. Write an equation to find the total cost c of a band saw with any number of extra blades e. Use the equation to find the cost of a band saw with 10 extra blades.

Number of Extra Blades

0 1 2 3

Total Cost ($)

150 154 158 162

3. AQUARIUM An aquarium costs $85 plus $2 per fish. Write an equation to find the cost c of an aquarium plus any number of fish f. Make a table to find the cost of an aquarium plus 3, 4, 5, or 6 fish.

4. SALES A florist sells roses by the dozen. Write an equation to find the total cost c of r dozens of roses.

5. BOATING Boat rentals are $50 plus $4 per hour. Write an equation to find the total cost c to rent a boat for any number of hours h. Make a table to find the cost of renting a boat for 4, 5, 6, or 7 hours.

6. SWIMMING Private swimming lessons cost $30 per visit plus $3 per child in the group. Write an equation to find the total cost t of a swimming lesson for any number of children c. Make a table to find the cost of a lesson for 1, 2, 3, or 4 children.

3 3

Lesson 2 Skills Practice

Relations

Name the ordered pair for each point.

1. A

2. B

3. C

4. D

Graph each ordered pair on a coordinate plane.

5. (3, 3)

6. (1, ?1)

7. (?4, 2)

8. (?4, ?3)

Express each relation as a table and a graph. Then state the domain and range.

9. {(4, ?2), (?1, 1), (2, ?3), (3, 0)}

x

y

10. {(3, 4), (1, ?2), (4, ?1), (2, 2)}

x

y

4 4

Lesson 2 Problem-Solving Practice

Relations

1. MONEY The Happy Place charges $30 per hour for parties. Make a table of ordered pairs in which the x-coordinate represents the hours and the y-coordinate represents the total cost for 2, 3, 4, and 5 hours.

2. Graph the ordered pairs from Exercise 1 and state the domain and range.

x

y

3. CAR RENTALS The ABC Car Rental Company charges a flat rate $58 per day. Make a table of ordered pairs in which the x-coordinate represents the number of days and the ycoordinate represents the total cost for 1, 3, 5, and 7 days.

4. PRODUCE A company that sells produce fills 350 boxes of squash per day. Make a table of ordered pairs in which the xcoordinate represents the number of days and the ycoordinate represents the number of boxes filled in 1, 2, 3, and 4 days.

x

y

x

y

5. Graph the ordered pairs from Exercise 4 and state the domain and range.

6. BABIES Shaqueem's baby brother drinks 4 ounces of formula every 3 hours. Make a table of ordered pairs in which the x-coordinate represents the number of hours and the y-coordinate represents the total number of ounces in 3, 6, 9, and 12 hours.

x

y

5 5

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