NAME DATE PERIOD Lesson 1 Homework Practice...BEADS A bead shop sells glass beads for $7 each minus a $2 discount. The rule 7x - 2, where x is the number of glass beads, can be used

Course 1 • Chapter 8 Functions and Inequalities 115

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Lesson 1 Homework PracticeFunction Tables

Complete each function table.

1. Input (x) x + 6 Output (y)037

2. Input (x) x - 1 Output (y)148

3. Input (x) 3x + 2 Output (y)0

2

4

4. Input (x) x ÷ 2 Output (y)4810

Find the input for each function table.




8. Input (x) 3x + 3 Output (y)3691215

9. FOOD A pizza place sells pizzas for $7 each plus a $4 delivery charge per order. If Pat orders 3 pizzas to be delivered, what will be his total cost?

10. MOVIES A store sells used DVDs for $8 each and used videotapes for $6 each. The function rule 8d + 6v can be used to represent the total selling price of DVDs d and videotapes v. Then use the function rule to find the price of 5 DVDs and 3 videotapes.

!!"#!$%#&&#'#()*+&!#&%,#--.$$$/01223*4563!!"3378.98!!33$:.,3*;3<=-%><6?!!"#!$%#&&#'#()*+&!#&%,#--.$$$/01223*4563!!"3378.98!!33$:.,3*;3<=-%><6? 8@AB>C6<8!!%8DE%%,-F8;GHHIJ#+&(EEI#;'K(8L'KGEL'I8'L&GII'MN8///8@AB>C6<8!!%8DE%%,-F8;GHHIJ#+&(EEI#;'K(8L'KGEL'I8'L&GII'MN8///

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use.Lesson 1 Skills PracticeFunction Tables

Complete each function table.



3. Input (x) 2x - 1 Output (y)754


5. If a function rule is 2x - 3, what is the output for the input 3?

6. If a function rule is 4 - x, what is the output for the input 2?

Find the input for each function table.



9. Input (x) 5x Output (y)01015



12. Input (x) 3x - 1 Output (y)1485

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use.Lesson 1 Problem-Solving PracticeFunction Tables

1. DRAGONS The Luck Dragons that live in the Enchanted Forest weigh 4x pounds when they are x years old. Make a table of values to show the weights of 6-year-old, 8-year-old, and 10-year-old Luck Dragons.

2. ROLLER COASTER Twelve people are able to ride the Serpent of Fire roller coaster at one time. The rule 12x is the total number of people that ride after x rides.Make a table of values to show the total number of people that have been on the roller coaster after 1, 2, 3, and 4 rides.

3. MOVIES At a local movie theater, it costs each student $5 to see a movie. The rule 5x represents the total amount of money the theater collects from x students. Make a table of values to show the total amount of money the theater collects from 2, 5, and 6 students.

4. RABBITS The Friendly Critters Pet Store keeps 3 rabbits in each cage. The rule 3x represents the number of rabbits that x cages can hold. Make a table of values to show how many cages it takes to hold 9, 15, and 18 rabbits.

5. BEADS A bead shop sells glass beads for $7 each minus a $2 discount. The rule 7x - 2, where x is the number of glass beads, can be used to find the total cost of x beads. Make a table of values to show how much it costs to buy 5, 6, and 9 glass beads.

6. Use the rule given in Exercise 5 to find the selling price of 15 glass beads.

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Lesson 2 Homework PracticeFunction Rules

Use words and symbols to describe the value of each term as a function of its position. Then find the value of the sixteenth term in the sequence.

1. Position 2 3 4 5 n

Value of Term 8 12 16 20

2. Position 8 9 10 11 n


3. Position 11 12 13 14 n


4. Position 21 22 23 24 n


Determine how the next term in each sequence can be found. Then find the next two terms in the sequence.

5. 3, 16, 29, 42, … 6. 21, 25, 29, 33, … 7. 1.2, 3.5, 5.8, 8.1, …

Find the missing number in each sequence.

8. 5, , 10, 12 1 − 2 , … 9. 11.5, 9.4, , 5.2, … 10. 40, , 37 1 −

3 , 36, …

11. MEASUREMENT There are 52 weeks in 1 year. In the space at the right, make a table and write a function rule relating the number of weeks to the number of years for 1, 2, 3, and n years. Then find Hana’s age in weeks if she is 11 years old.

12. SCIENCE A bacteria population increases every hour. At 12 P.M., there are 5 cells. At 1 P.M., there are 10 cells. At 2 P.M., there are 20 cells. At 3 P.M., there are 40 cells. If this patterns continues, how many cells will there be at 7 P.M.? Explain.


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use.Lesson 2 Skills PracticeFunction Rules

Use words and symbols to describe the value of each term as a function of its position. Then find the value of the tenth term in the sequence.









Find a rule for each function table.

5. Input (x) Output (y)5 06 17 28 3x

6. Input (x) Output (y)2 144 166 188 20x

7. Input (x) Output (y)4 05 16 27 3x

8. Input (x) Output (y)1 112 223 334 44x


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use.Lesson 2 Problem-Solving PracticeFunction Rules

1. AGE There are 12 months in 1 year. If Carrick is 11 years old, how many months old is he? Make a table. Then write a function rule relating the number of months to the number of years.

2. MEASUREMENT There are 12 inches in 1 foot. The height of Rachel’s door is 7 feet. Find the height in inches. Make a table. Then write a function rule relating the number of feet to inches.

3. RUNNING There are 60 seconds in 1 minute. Costas can run all the way around the track in 180 seconds. Find how long it takes Costas to run around the track in minutes. Make a table. Then write a function rule relating the number of seconds to the number of minutes.

4. FRUIT There are 16 ounces in 1 pound. Chanda picked 9 pounds of cherries from her tree this year. Find the number of ounces of cherries Chanda picked. Make a table. Then write a function rule relating the number of ounces to the number of pounds.

5. SAVINGS Mikhail saved $1 of his paycheck the first week. He saved $2 the second week. He saved $4 the third week. He saved $8 the fourth week. If this pattern continues, how much willhe save the sixth week? Explain.

6. NUMBER SENSE The first four numbers of a sequence are 3, 9, 27, and 81. If this sequence continues, what are the next two numbers? Explain.


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Lesson 3 Homework PracticeFunctions and Equations

Write an equation to represent each function.

1. Input, x 1 2 3 4 5

Output, y 7 14 21 28 35

2. Input, x 0 1 2 3 4

Output, y 0 9 18 27 36

3. Input, x 1 2 3 4 5

Output, y 13 26 39 52 65

4. Input, x 10 20 30 40 50

Output, y 1 2 3 4 5

5. Input, x 0 1 2 3 4

Output, y 1 6 11 16 21

6. Input, x 4 8 12 16 20

Output, y 21 37 53 69 85

Graph each equation.

7. y = 5x + 1 8. y = x + 2 9. y = 3x + 3

10. TELEPHONE A cell phone company charges $40 per month plus $2 for each minute of time used out of the service area. Write the equation that describes the amount y that a cell phone user would pay if they used the phone for x minutes out of the service area. Graph the function.

y

O

2468101214161820

1 2 3 4 5 6 7 8 9 10x

y

O

12345678910

1 2 3 4 5 6 7 8 9 10x

y

O

2468101214161820

1 2 3 4 5 6 7 8 9 10x

y

O

102030405060708090100

1 2 3 4 5 6 7 8 9 10x


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use.Lesson 3 Skills PracticeFunctions and Equations

Write an equation to represent each function.

1. Input, x 0 1 2 3 4

Output, y 0 3 6 9 12

2. Input, x 0 1 2 3 4

Output, y 0 1 2 3 4

3. Input, x 1 2 3 4 5

Output, y 7 14 21 28 35

4. Input, x 0 1 2 3 4

Output, y 7 8 9 10 11

5. Input, x 2 4 6 8 10

Output, y 5 9 13 17 21

6. Input, x 0 1 2 3 4

Output, y 2 14 26 38 50

Graph each equation.

7. y = 4x 8. y = x + 6 9. y = 2x + 1

10. ANIMALS A manatee eats an average of 70 pounds of wet vegetation each day. The equation y = 70x describes the amount y that a manatee eats in x days. Graph the function.

y

O

12345678910

1 2 3 4 5 6 7 8 9 10x

y

O

50100150200250300350400450500

1 2 3 4 5 6 7 8 9 10x

y

O

12345678910

1 2 3 4 5 6 7 8 9 10x

y

O

123456789

10

1 2 3 4 5 6 7 8 9 10x


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use.Lesson 3 Problem-Solving PracticeFunctions and Equations

1. FISHING A lake owner charges $80 for a day’s guided fishing trip, plus $5 for each pound of fish caught. Write the equation that describes the total charge c for the number of pounds p of fish. Make a function table for the input-output values.

p 80 + 5p c

0

1

2

3

2. Graph the function from Exercise 1.

3. MAGAZINE A writer’s magazine subscription costs $24 per year plus $4 for each writing contest the subscriber enters. Write the equation that describes the total charge c for the number of contest entries w. Make a function table for the input-output values.

w 24 + 4w c

0

1

2

3


5. DAY CARE A day care center charges $75 per week for one child, plus $30 per sibling. Write the equation that describes the total charge t for the number of siblings s. Make a function table for the input-output values.

s 75 + 30s t

0

1

2

3


Char

ge ($

)

40

50

20

30

10

0

60708090

100c

21 4 5 p3Pounds

Char

ge ($

)

20

25

10

15

5

0

3035

21 4 53Entries

c

w

Char

ge ($

)

80

100

40

60

20

0

120140160180

21 4 53Siblings

t

s


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Lesson 4 Homework PracticeMultiple Representations of Functions

WATER One water filter will clean 40 gallons of water.

1. Write an equation to find g, the total number of gallons cleaned by any number of filters f.

2. Make a function table to show the relationship between the number of filters f and the total number of gallons g.

Filters (f) Gallons (g)

3. Graph the ordered pairs. Analyze the graph.

CHAIRS Furniture Fanatics is selling dining chairs for $45 each. Chairs R Us charges $52 per chair.

4. Write an equation to represent the total cost t of any number of chairs c at each place.

5. Use the equations of the functions to determine which line is steeper. Explain your reasoning.

120150

60

90

30

0

180210240270

1 2 3 4 5

Furniture Fanatics

Chairs R Us

t

c

80

100

40

60

20

0

120140160180

1 2 3 4

Gallo

ns

Filters

g

f


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use.Lesson 4 Skills PracticeMultiple Representations of Functions

BOOKS The school library is buying new books that cost $9 each.

1. Write an equation to find t, the total cost in dollars for any number of books b.

2. Make a function table to show the relationship between the number of books b and the total cost t.

Books (b) Total Cost (t)

3. Graph the ordered pairs. Analyze the graph.

PIANO Play It Loud charges $22 per lesson for piano lessons. Ed’s Music Store charges $30 per lesson.

4. Write an equation to represent the total cost t of any number of piano lessons p at each place.

5. Use the equations of the functions to determine which line is steeper. Explain your reasoning.

4050

20

30

10

0

60708090

100110120

1 2 3 4 5

Play It Loud

Ed's Music Store

t

p

20

25

10

15

5

0

30354045

1 2 3 4

Cost

($)

Books

t

b


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use.Lesson 4 Problem-Solving PracticeMultiple Representations of Functions

FITNESS For Exercises 1–3, use the following information.

Rosalia burns 250 Calories for each hour she does aerobics.

1. Write an equation to find c, the number of Calories Rosalia burns in h hours.

2. Make a table to show the relationship between the number of Calories c Rosalia burns doing aerobics for h hours.

3. Graph the ordered pairs for the function in Exercise 1.

4. MUSICALS The table below shows the admission price to the school musical. Write a sentence and an equation to describe the data.

Number of People (n)

Total Admission (t)

1 $62 $123 $18

5. Graph the ordered pairs for the function in Exercise 4. Analyze the graph.

6. VIDEO GAMES The table below shows the number of points earned for catching bugs in a video game. Write a sentence and an equation to describe the data.

Number of Bugs Caught (b)

Total Points (t)

1 252 503 75

400500

200300

100

0

600700800900

1,000

1 2 3 4

Calo

ries B

urne

d

Numbers of Hours

O

36912151821

1 2 3 4

t

n


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Lesson 5 Homework Practice Inequalities

Determine which number is a solution of the inequality.

1. 32 + a > 44; 11, 12, 13 2. 15 - x ≤ 6; 9, 8, 7

3. 28 + r ≥ 60; 32, 31, 30 4. 49 - h > 8; 40, 41, 42

5. 16 - n ≤ 1; 13, 14, 15 6. 9 + j ≥ 36; 25, 26, 27

Is the given value a solution of the inequality?

7. 9 - g ≥ 3; g = 5 8. 42 + h < 53; h = 10

9. k - 22 ≥ 20; k = 38 10. t + 12 > 70; t = 55

11. 88 + m > 100; m = 11 12. 12p ≤ 76; p = 6

13. RAFFLE The local Lions Club sold raffle tickets for a new golf cart. The sales for each week are given in the table. If more than 250 tickets are sold, then the Lions Club raised enough for the golf cart. Use the inequality t > 250, where t represents the number of tickets sold, to determine the weeks in which they raised enough money.

14. LAPS The track coach records the number of laps the team runs each day for a week in the table to the right. If the team runs at most 10 laps each day, then they have to practice Saturday. Use the inequality ℓ ≤ 10, where ℓ represents the number of laps the team runs, to determine which days they did not run the required number of laps.

Week Tickets Sold1 2482 3153 2964 210

Day LapsMonday 8Tuesday 10

Wednesday 12Thursday 13

Friday 9


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use.Lesson 5 Skills PracticeInequalities

Determine which number is a solution of the inequality.

1. 18 + a > 21; 2, 3, 4 2. 24 - x ≤ 19; 3, 4, 5

3. 7 + r ≥ 18; 11, 10, 9 4. 9 - h > 2; 6, 7, 8

5. 32 - n ≤ 17; 13, 14, 15 6. 16 + j ≥ 29; 13, 12, 11

7. 10 - f < 7; 2, 3, 4 8. 52 + q < 56; 5, 4, 3

Is the given value a solution of the inequality?

9. 2 + s ≥ 10; s = 7 10. 14 - r < 9; r = 6

11. j - 11 ≥ 20; j = 32 12. t + 6 > 40; t = 35

13. 16 + m > 40; m = 16 14. 9x ≥ 80; x = 9

15. 15 ≤ 3z; z = 4 16. 2n > 26; n = 5


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use.Lesson 5 Problem-Solving PracticeInequalities

1. SAFETY The speed limit on some Georgia Interstates is 70 miles per hour. If a driver travels faster than 70 miles per hour, he or she receives a ticket. Use the inequality s > 70, where s represents the speed of cars on the interstate to determine which cars get a ticket.

2. CAMERAS The cost of a camera at different stores is shown in the table. Kayla doesn’t want to spend more than $400 on a camera. Use the inequality c < $400, where c represents the cost of a camera to determine which stores she could buy from.

3. CONCERT The number of people who attended each theater show at the local arts club is shown in the table. If less than 175 people attend, then the arts club did not make enough to cover costs. Use the inequality p < 175, where p represents the number of people present, to determine for which show they did not make enough money.

4. FLOWERS The florist kept track of the flowers she sold on Valentine’s Day. If she sells at least 50 flowers, she receives a bonus. Use the inequality f ≥ 50, where f represents the number of flowers sold to determine which flowers she sold enough of.

5. RIDES The roller coasters at the theme park require children to be over48 inches tall to ride. Use the inequality h ≤ 48, where h represents each child’s height to determine which children can not ride roller coasters.

6. BAKE SALE The school bake sale results are given in the table. If more than 20 of a baked good are sold, then more baked goods are made. Use the inequality b > 20, where b represents the number of goods sold to determine which baked goods need to be made.

Car Speed1 682 763 724 65

Store CostCamera Castle $389.50Digital Dreams $401.75Photo Palace $422.85

Flower Number SoldRoses 112Tulips 68Carnations 43

Baked Goods Number SoldCakes 10Cookies 45Cupcakes 38Pies 15

Child Height (in.)Jolon 47Tandy 49Cruz 48Flo 50

Show People PresentRomeo and Juliet 176Hamlet 164Macbeth 208


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Lesson 6 Homework PracticeWrite and Graph Inequalities

Write an inequality for each sentence.

1. More than 2,500 people attended the convention.

2. Her earnings were no more than $64.

3. The winning 5K race time was less than 22 minutes.

4. A checking-account balance is no more than $500.

5. A maximum ceiling height of 8 feet was required in the new buildings.

6. A minimum number of 12 participants is required to hold a bike rally.

Graph each inequality on a number line.

7. x > 15 8. s < 6 9. b ≥ 13

10. x < 23 11. r > 18 12. r ≥ 5

13. x > 30 14. b ≤ 4 15. a ≥ 9

16. DONATIONS Total donations at the Fireman’s Ball failed to reach $940. Write and graph an inequality that represents the amount raised.

13 14 15 16 17 4 5 6 7 8 11 12 13 14 15

21 22 23 24 25 16 17 18 19 20 3 4 5 6 7

28 29 30 31 32 2 3 4 5 6 7 8 9 10 11

920 930 940 950 960


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use.Lesson 6 Skills PracticeWrite and Graph Inequalities

Write an inequality for each sentence.

1. More than 40,000 fans attended the opening football game at the University of Florida.

2. Her earnings were no more than $86.

3. A savings account balance is now less than $550.

4. The number of club members is at least 25.

5. The spring calf class at the cattle show is for calves that weigh 825 pounds or less.

6. The minimum deposit for a new checking account is $75.

Graph each inequality on the number line.

7. a < 8 8. d ≤ 4 9. b ≥ 11

10. x > 3 11. x < 9 12. r ≥ 4

13. x > 10 14. x ≥ 6 15. x ≤ 2

6 7 8 9 10 2 3 4 5 6 9 10 11 12 13

2 3 4 5 67 8 9 10 111 2 3 4 5

8 9 10 11 12 4 5 6 7 8 0 1 2 3 4


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use.Lesson 6 Problem-Solving PracticeWrite and Graph Inequalities

1. ROLLER COASTER In order to ride a roller coaster at the theme park, riders must be at least 52 inches tall. Write and graph an inequality to show the safe heights for riders.

2. FARMING One forklift can raise a maximum of 2,000 kilograms. Write and graph an inequality to describe the number of kilograms the forklift can raise.

3. INTERSTATES On interstate highways, the minimum allowable lane width is 12 feet. Write and graph an inequality to show the possible width of a lane.

4. TRAVEL Traveling salespeople for a book company are paid at least $250 for each trip they take to sell books. Write and graph an inequality to describe the amount salespeople are paid per trip.

5. SPEED LIMIT The speed limit on most state roads is 55 miles per hour. Write and graph an inequality to describe the legal speed on state roads.

6. TRIP Seniors who want to go on the group trip to the mountains have to pay at least $400 of their total bill before the payment deadline. Write and graph an inequality to describe the acceptable payment.

50 51 52 53 54 1500 2000 2500

10 11 12 13 14 125 250 375

45 50 55 60 65

300 350 400 450 500


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Lesson 7 Homework PracticeSolve One-Step Inequalities

1. 6x > 12 2. h - 4 > 9

3. s + 5 ≤ 14 4. n −− 4 ≥ 3

5. m + 9 < 13 6. 2q < 26

7. b − 2 < 13 8.

p −

6 < 5

9. 13b ≤ 39 10. w + 18 ≥ 30

11. z − 8 ≥ 3 12. y – 5 < 12

13. k + 14 ≥ 22 14. 3v < 21

15. 14n ≥ 56 16. s − 2 < 16

17. TRANSPORTATION A certain minivan has a maximum carrying capacity of 1,200 pounds. The luggage weighs 150 pounds. Write and solve an inequality to find the maximum weight allowable for passengers.

18. DISCOUNTS To qualify for a store discount, Clay’s soccer team must spend at least $560 for new jerseys. The team needs 20 jerseys. Write and solve an inequality to represent how much the team should spend on each jersey to qualify for the discount.

Solve each inequality. Graph the solution on a number line.

0 1 2 3 4 11 12 13 14 15

7 8 9 10 11 10 11 12 13 14

2 3 4 5 6 11 12 13 14 15

24 25 26 27 28 28 29 30 31 32

1 2 3 4 5 10 11 12 13 14

22 23 24 25 26 15 16 17 18 19

6 7 8 9 10 5 6 7 8 9

2 3 4 5 6 30 31 32 33 34


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use.Lesson 7 Skills PracticeSolve One-Step Inequalities

1. 8x > 16 2. h - 9 > 13

3. t + 7 ≤ 12 4. r − 3 ≥ 5

5. j + 4 < 10 6. 7y < 35

7. b - 15 > 11 8. n −− 4 < 4

9. 4b ≥ 12 10. z + 8 ≥ 14

11. y −

6 ≥ 2 12. j - 8 < 9

13. k - 10 ≥ 6 14. 6z ≥ 18

15. 12a ≥ 48 16. s − 3 < 5

17. SHOPPING Chantal would like to buy a new pair of running shoes. The shoes she likes start at $85. If she has already saved $62, write an inequality to show how much more money Chantal must save.

Solve each inequality. Graph the solution on a number line.

2 3 4 5 6 13 14 15 16 17

1 2 3 4 514 15 16 17 18

10 11 12 13 14 15 16 17 18 19

4 5 6 7 81 2 3 4 5

14 15 16 17 1824 25 26 27 28

4 5 6 7 8 3 4 5 6 7

13 14 15 16 173 4 5 6 7

0 1 2 3 4 20 21 22 23 24


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use.Lesson 7 Problem-Solving PracticeSolve One-Step Inequalities

1. ENTERTAINMENT Gabe went to the amusement park with $40 to spend. His ticket cost $26.50. Write and solve an inequality to show how much he might spend on souvenirs and snacks.

2. AQUARIUM Leeza’s aquarium holds 55 gallons of water. She is filling the tank and has already put in 22 gallons. Write and solve an inequality to find out how many more gallons she might put in the tank.

3. CARS Many mechanics advise people not to drive their cars more than 5,000 miles between oil changes. Kaci has driven her car 3,450 miles since the last oil change. Write and solve an inequality to find out how many more miles she might drive before having her oil changed again.

4. FURNITURE Dan builds furniture. The table shows his minimum production times.

FurnitureMinimum

Production Times (hr)

Child’s table 2Bench 1Dining table 4China cabinet 7

Dan builds children’s tables on Tuesday. He works 10 hours. Write and solve an inequality to determine how many children’s tables Dan can build that day.

5. PIANO Drew practices piano at least 45 minutes per day. He has already practiced 18 minutes. Write and solve an inequality to determine how much longer he will be practicing.

6. SPORTS At baseball spring training, the coach throws at least 30 ground balls to each outfielder. He has thrown 16 ground balls to the right fielder. Write and solve an inequality to determine how many more balls he can be expected to throw to the right fielder.


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NAME DATE PERIOD Lesson 1 Homework Practice...BEADS A bead shop sells glass beads for $7 each minus a $2 discount. The rule 7x - 2, where x is the number of glass beads, can be used