Download Perry County School District 32

Use with Lesson
5-Minute Check
1-1
Subtract or divide.
1. 5,678 - 3,479
2. 29,811 ÷ 57
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
3. Each classroom in a school has 30 student desks.
If the average class size is 25 students, and there
are 55 classrooms occupied by classes, about
how many unused desks are there?
4. Katrina’s
Chinese Food Order
family wants Number
Item
Price
to order
of Items
Chinese food
2
Fried Dumplings $2.95
for dinner.
1
Lemon Chicken $4.95
2
Kung Pao Beef $5.95
Using the
3
Wontons
$1.89
table at the
right, write
and solve an equation to find how much money
Katrina’s family needs to pay for their order.
5. How much change should Katrina’s father receive if
he pays for the Chinese food with a fifty-dollar bill?
6.
Test Practice
9
Write _
as a percent.
12
A 55%
B 65%
C 75%
D 85%
ANSWERS
1. 2,199 2. 523
3. 275
4. (2 × $2.95) + $4.95 + (2 × $5.95) +
5. $21.58
(3 × $1.89) = x; x = $28.42
6. C
Chapter 1
Glencoe Math Connects, Course 2
Powers and Exponents
1–2
GLE: NO: 1C, 2D
BUILD YOUR VOCABULARY (pages 2–3)
MAIN IDEA
Two or more numbers that are multiplied together to form
• Use powers and
are called factors.
a
exponents.
The exponent tells how many times the base is used
as a
.
The base is the common
.
Numbers expressed using
powers.
ORGANIZE IT
On the Lesson 1-2 page
of your Foldable, explain
the difference between
the terms power and
exponent.
Five to the
power is five squared.
Four to the
power is four cubed.
EXAMPLES
Write Powers as Products
Write each power as a product of the same factor.
84
Eight is used as a factor
46
is used as a factor six times. 4 6 =
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Check Your Progress Write each power as a product of
the same factor.
a. 3 6
6
Math Connects, Course 2
b. 7 3
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
®
are called
1–2
BUILD YOUR VOCABULARY (pages 2–3)
You can evaluate, or find the
of,
by multiplying the factors.
are in
Numbers written
standard form.
are in
Numbers written
exponential form.
WRITE IT
Explain how you would
use a calculator to
evaluate a power.
EXAMPLES
Write Powers in Standard Form
Evaluate each expression.
83 =
=
64 =
=
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Check Your Progress Evaluate each expression.
a. 4 4
EXAMPLE
b. 5 5
Write Numbers in Exponential Form
Write 9 · 9 · 9 · 9 · 9 · 9 in exponential form.
9 is the
. It is used as a factor
So, the exponent is
HOMEWORK
ASSIGNMENT
Page(s):
times.
.
=
Check Your Progress Write 3 · 3 · 3 · 3 · 3 in
exponential form.
Exercises:
Math Connects, Course 2
7
Score:________/________
30-Square Answer Sheet-----MAKE SURE YOU SHOW ALL YOUR WORK!
Name____________________________________________
Date ____________________________________________
Hour_____________________________________________
Lesson_____________________
#s_________________________
___________________________
Use with Lesson
5-Minute Check
(over Lesson 1-2)
1-3
Write each power as a product of the same
factor.
1. 53
2. 26
Evaluate each expression.
3. 83
4. 25
5. A certain type of bacteria reproduces at a rate of
10 • 10 • 10 per hour. Write the rate at which this
bacteria reproduces in exponential form.
6.
Test Practice
Write 87 in words.
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
A seven times eight
B eight times seven
C eight to the seventh power
D seven to the eighth power
ANSWERS
1. 5 • 5 • 5
2. 2 • 2 • 2 • 2 • 2 • 2
3. 512
4. 32
5. 103 per hour
6. C
Chapter 1
Glencoe Math Connects, Course 2
Squares and Square Roots
1–3
GLE:
NO: 1C,2D
BUILD YOUR VOCABULARY (pages 2–3)
MAIN IDEA
The
• Find squares of
numbers and square
roots of perfect
squares.
of a number and
is the
square of the number.
Perfect squares like 9, 16, and 225 are squares of
numbers.
The
multiplied to form perfect squares are called
square roots.
A radical sign, √ , is the symbol used to indicate the
positive
EXAMPLES
of a number.
Find Squares of Numbers
ORGANIZE IT
On the Lesson 1-3 page
of your Foldable, explain
in words and symbols
how you find squares
of numbers and square
roots of perfect squares.
Multiply 5 by
·
.
SQUNITS UNITS
= 25
UNITS
Find the square of 19.
METHOD 1 Use paper and pencil.
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˜Ì
Àœ
`ÕV
Ì Ìˆœ˜
} œ
iL
> À>
՘ ˜`
V̈
œ˜Ã
·
£‡Ó
£‡Î
£‡{
£‡x
£‡È
=
METHOD 2 Use a calculator.
x2
ENTER
Check Your Progress Find the square of each number.
a. 7
8
Math Connects, Course 2
b. 21
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Find the square of 5.
®
1–3
KEY CONCEPT
Square Root A square
root of a number is one
of its two equal factors.
EXAMPLES
Find Square Roots
Find √
36 .
What number times itself is 36?
= 36, so √
36 =
·
.
Find √
676 .
Use a calculator.
2nd
x2
So, √
676 =
ENTER
.
Check Your Progress Find each square root.
64
a. √
b. √
529
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
GAMES A checkerboard is a square with an area of
1,225 square centimeters. What are the dimensions of
the checkerboard?
The checkerboard is a square. By finding the square root of the
area, 1,225, you find the length of one side.
2nd
x2
Use a calculator.
ENTER
The dimensions of the checkerboard are
cm by
cm.
Check Your Progress GARDENING Kyle is planting a
new garden that is a square with an area of 42.25 square feet.
What are the dimensions of Kyle’s garden?
2nd
x2
ENTER
HOMEWORK
ASSIGNMENT
Page(s):
Exercises:
Math Connects, Course 2
9
Score:________/________
30-Square Answer Sheet-----MAKE SURE YOU SHOW ALL YOUR WORK!
Name____________________________________________
Date ____________________________________________
Hour_____________________________________________
Lesson_____________________
#s_________________________
___________________________
Use with Lesson
5-Minute Check
1-4
(over Lesson 1-3)
Find the square of each number.
1. 7
2. 12
3. 13
Find each square root.
4. √
81
196
5. √
6.
Test Practice
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
A -128
Find √
36 × (-2)2 - (-4).
B 28
C 96
D 136
ANSWERS
1. 49
2. 144
3. 169
4. 9
5. 14
6. B
Chapter 1
Glencoe Math Connects, Course 2
1–4
Order of Operations
GLE:
NO:2C
BUILD YOUR VOCABULARY (pages 2–3)
MAIN IDEA
The expressions 4 · 6 - (5 + 7) and 8 · (9 - 3) + 4 are
• Evaluate expressions
expressions.
using the order of
operations.
Order of operations are
Remember
PEMDAS
KEY CONCEPT
that ensure that
numerical expressions have only one value.
EXAMPLES
Evaluate Expressions
Order of Operations
Evaluate each expression.
1. Evaluate the
expressions inside
grouping symbols.
27 - (18 + 2)
27 - (18 + 2) = 27 -
Add first since 18 + 2 is
in parentheses.
2. Evaluate all powers.
4. Add and subtract
in order from left
to right.
=
Subtract 20 from 27.
15 + 5 · 3 - 2
®
Be sure to
include the order of
operations on the
Lesson 1-4 page of your
Foldable.
-2
15 + 5 · 3 - 2 = 15 +
=
=
-2
Multiply 5 and 3.
Add 15 and 15.
Subtract 2 from 30.
Check Your Progress Evaluate each expression.
a. 45 - (26 + 3)
10
Math Connects, Course 2
b. 32 - 3 · 7 + 4
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
3. Multiply and divide
in order from left
to right.
1–4
EXAMPLES
Use Order of Operations
Evaluate each expression.
12 × 3 - 2 2
12 × 3 - 2 2 = 12 × 3 -
Find the value of 2 2.
-4
=
Multiply 12 and 3.
=
REMEMBER IT
If an exponent lies
outside of grouping
symbols, complete the
operations within the
grouping symbols before
applying the power.
Subtract 4 from 36.
28 ÷ (3 - 1) 2
28 ÷ (3 - 1) 2 = 28 ÷
Subtract 1 from 3 inside the
parentheses.
= 28 ÷
Find the value of 2 2.
=
Divide.
Check Your Progress Evaluate each expression.
b. 36 ÷ (14 - 11) 2
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
a. 9 × 5 + 3 2
EXAMPLE
Evaluate an Expression
MONEY Julian is buying one box of favors, one box of
balloons, and three rolls of crepe paper. What is the
total cost?
Item
HOMEWORK
ASSIGNMENT
Page(s):
Exercises:
Quantity
Unit Cost
crepe paper
3 rolls
$2
favors
1 box
$7
balloons
1 box
$5
1×7+1×5+3×2=7+
The total cost is
+ 6 or 18
.
Check Your Progress What is the total cost of two boxes
of favors, two boxes of balloons, and six rolls of crepe paper?
Math Connects, Course 2
11
Score:________/________
30-Square Answer Sheet-----MAKE SURE YOU SHOW ALL YOUR WORK!
Name____________________________________________
Date ____________________________________________
Hour_____________________________________________
Lesson_____________________
#s_________________________
___________________________
Use with Lesson
5-Minute Check
1-5
(over Lesson 1-4)
Evaluate each expression.
1. 7 • 4 + (21 - 5)
2. (7 - 4)3 + 32
3. 16 ÷ 4 + 63 ÷ 9
4. 3 × 103
5. 144 ÷ (2)6
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
6.
On Mondays, Wednesdays, and
Fridays, Adrian runs five miles. On Tuesdays,
Thursdays, and Saturdays, he runs two miles. On
Sunday, Adrian runs 10 miles. Write a numerical
expression to find how many miles Adrian runs in
a week. Then evaluate the expression.
Test Practice
A (3 • 5) + (2 • 2) + 10 = x; x = 31
B (3 • 5) + (2 • 2) + 10 = x; x = 29
C (3 • 5) + (3 • 2) + 10 = x; x = 31
D (3 • 5) + (3 • 2) + 10 = x; x = 29
ANSWERS
1. 44
2. 59
3. 11
Chapter 1
4. 3,000
5. 12
6. C
Glencoe Math Connects, Course 2
1–6
Algebra: Variables and Expressions
GLE: NO:2C, AR: 2A
BUILD YOUR VOCABULARY (pages 2–3)
MAIN IDEA
• Evaluate simple
You can use a
, or variable, in an expression.
algebraic expressions.
The expression 7 + n is called an
expression.
The branch of mathematics that involves expressions
with
is called algebra.
The
factor of a term that contains a
variable is called a coefficient.
EXAMPLES
Evaluate Expressions
Evaluate t - 4 if t = 6.
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
t-4=6-
Replace t with
=
.
Subtract.
Evaluate 5x + 3y if x = 7 and y = 9.
5x + 3y = 5 ·
+3·
Replace x with
and
=
+
with 9.
Do all multiplications first.
=
Add
and 27.
Evaluate 5 + a 2 if a = 5.
5 + a2 = 5 + 52
Replace a with
=5+
Evaluate the
=
Add.
.
.
Math Connects, Course 2
13
1–6
®
ORGANIZE IT
Record and evaluate
an example of a simple
algebraic expression on
the Lesson 1-6 page of
your Foldable.
Check Your Progress Evaluate each expression.
a. 7 + m if m = 4.
b. 4a - 2b if a = 9 and b = 6.
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c. 24 - s 2 if s = 3.
EXAMPLE
Evaluate an Expression
TEMPERATURE The formula for rewriting a Fahrenheit
temperature as a Celsius temperature is
5(F - 32)
__
, where
9
F equals the temperature in degrees Fahrenheit. Find
the Celsius equivalent of 99°F.
5(F - 32)
5(99 - 32)
__
= __
9
9
5(67)
335
_
=_
9
9
Subtract
from 99
and multiply.
≈
Divide 335 by 9.
The Celsius equivalent of 99°F is about 37.2°C.
Check Your Progress BOWLING David’s cost for bowling
can be described by the formula 1.75 + 2.5g, where g is the
number of games David bowls. Find the total cost of bowling if
David bowls 3 games.
HOMEWORK
ASSIGNMENT
Page(s):
Exercises:
14
Math Connects, Course 2
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
=
Replace F with 99.
Score:________/________
45-Square Answer Sheet------MAKE SURE YOU SHOW ALL YOUR WORK!
Name____________________________________________
Date ____________________________________________
Hour_____________________________________________
Lesson_____________________
#s_________________________
___________________________
5-Minute Check
Use with Lesson
(over Lesson 1-6)
1-7
Evaluate each expression if m = 2, n = 4,
r = 7, and p = 9.
2
n
_
1.
m
2. 7r - 3p
3. (p - m) + 5(2n)
(13 - r)2
_
4.
12
3p
5. _
n
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
6.
Kerrie works at an art supply
store. Which expression could Kerrie use to find
the cost of buying p cases of paintbrushes at
$145 each and e easels at $59 each?
Test Practice
A 145e + 59p
C (145 + 59) + pe
B 145p + 59e
D p(145 - 59) + e
ANSWERS
1. 8
2. 22
3. 47
4. 3
5. 6.75
6. B
Chapter 1
Glencoe Math Connects, Course 2
1–7
Algebra: Equations
GLE: NO:3C, AR:2A
BUILD YOUR VOCABULARY (pages 2–3)
MAIN IDEA
• Write and solve
equations using mental
math.
An equation is a
in mathematics that
contains an equals sign.
The solution of an equation is a number that makes
the sentence
.
The process of finding a
is called
solving an equation.
When you choose a
to represent one of the
unknowns in an equation, you are defining the variable.
EXAMPLE
Solve p - 14 = 5 mentally.
®
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Solve an Equation Mentally
ORGANIZE IT
On the Lesson 1-7 page
of your Foldable, record
and solve an example of
an algebraic equations.
p - 14 = 5
- 14 = 5
=5
Write the equation.
You know that 19 -14 is
.
Simplify.
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The solution is
.
Check Your Progress Solve p - 6 = 11 mentally.
Math Connects, Course 2
15
1–7
EXAMPLE
TEST EXAMPLE A store sells pumpkins for $2 per pound.
Paul has $18. Use the equation 2x = 18 to find how large
a pumpkin Paul can buy with $18.
A 6 lb
B 7 lb
C 8 lb
D 9 lb
Read the Item
to find how many pounds the pumpkin
Solve
can weigh.
Solve the Item
Write the equation.
2·
= 18
You know that 2 · 9 is 18.
Paul can buy a pumpkin as large as
pounds.
.
The answer is
F 4
16
Math Connects, Course 2
G5
H6
J7
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Check Your Progress A store sells notebooks for $3 each.
Stephanie has $15. Use the equation 3x = 15 to find how many
notebooks she can buy with $15.
1–7
EXAMPLE
REVIEW IT
Explain how to add a
decimal and a whole
number. (Prerequisite
Skill)
Write an Equation to Solve a Problem
ENTERTAINMENT An adult paid $18.50 for herself and two
students to see a movie. If the two student tickets cost
$11 together, what is the cost of the adult ticket?
Words
The cost of one adult ticket and two student
tickets is $18.50.
Variable
Let a represent the cost of an adult movie
ticket.
Equation
a + 11 = 18.50
a + 11 = 18.50
+ 11 = 18.50
Write the equation.
Replace a with
to make the equation true.
= 18.50
The number
is the solution of the equation. So, the
cost of an adult movie ticket is
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Simplify.
.
Check Your Progress ICE CREAM Julie spends $9.50 at
the ice cream parlor. She buys a hot fudge sundae for herself
and ice cream cones for each of the three friends who are with
her. Find the cost of Julie’s sundae if the three ice cream cones
together cost $6.30.
HOMEWORK
ASSIGNMENT
Page(s):
Exercises:
Math Connects, Course 2
17
Score:________/________
45-Square Answer Sheet------MAKE SURE YOU SHOW ALL YOUR WORK!
Name____________________________________________
Date ____________________________________________
Hour_____________________________________________
Lesson_____________________
#s_________________________
___________________________
Use with Lesson
5-Minute Check
1-8
(over Lesson 1-7)
Solve each equation mentally.
1. 27 + n = 55
2. 9y = 45
Name the number that is the solution of the
given equation.
3. 2.4 + a = 4; 1.6, 2.8, 3.1
4. 18m = 63; 2.3, 3.5, 4.6
5. Kieran worked for 9.5 hours and earned $80.75. How
much does she get paid per hour? Use the equation
9.5w = 80.75, where w is Kieran’s hourly wage.
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
6.
Warren had 26 bobbleheads in his
collection. After he bought some more
bobbleheads at an auction, he had a total of 32
bobbleheads. Which equation could be used to
find how many bobbleheads he bought at the
auction?
Test Practice
A 32 + t = 26
C 26 - 32 = t
B 32 ÷ t = 26
D 26 + t = 32
ANSWERS
1. 28
2. 5
3. 1.6
Chapter 1
4. 3.5
5. $8.50
6. D
Glencoe Math Connects, Course 2
Algebra: Properties
1–8
GLE: NO:1C,2C,3C
BUILD YOUR VOCABULARY (pages 2–3)
MAIN IDEA
The expressions 5($9 + $2) and 5($9) + 5($2) are equivalent
• Use Commutative,
Associative, Identity,
and Distributive
properties to solve
problems.
expressions because they have the
EXAMPLES
value.
Use the Distributive Property
Use the Distributive Property to rewrite each
expression. Then evaluate it.
8(5 + 7)
8(5 + 7) = 8 ·
+8·
KEY CONCEPT
Distributive Property
To multiply a sum by a
number, multiply each
addend of the sum by
the number outside the
parentheses.
=
+
Multiply.
=
Add.
6(9)+ 6(2)
=
+
Multiply.
Add.
®
ORGANIZE IT
On the Lesson 1-8 page
your Foldable, be sure
to include examples
showing the addition
and multiplication
properties.
18
a. 4(6 + 3)
b. (5 + 3)7
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Check Your Progress Use the Distributive Property to
evaluate each expression.
Math Connects, Course 2
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
6(9)+ 6(2) =
1–8
KEY CONCEPTS
Commutative Property
The order in which two
numbers are added or
multiplied does not
change their sum or
product.
Associative Property
The way in which three
numbers are grouped
when they are added
or multiplied does not
change their sum or
product.
Identity Property
The sum of an addend
and zero is the addend.
The product of a factor
and one is the factor.
EXAMPLE
VACATIONS Mr. Harmon has budgeted $150 per day for
his hotel and meals during his vacation. If he plans to
spend six days on vacation, how much will he spend?
(
)
6(150) = 6 100 +
(50)
(100) +
=
= 600 +
150 = 100 + 50.
Distributive Property
or 900
Multiply, then add.
on a six-day vacation.
Mr. Harmon will spend about
Check Your Progress COOKIES Heidi sold cookies for
$2.50 per box for a fundraiser. If she sold 60 boxes of cookies,
how much money did she raise?
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
BUILD YOUR VOCABULARY (pages 2–3)
Properties are statements that are
for all
numbers.
EXAMPLE
Identify Properties
Find 5 · 13 · 20 mentally. Justify each step.
5 · 13 · 20 = 5 ·
=
HOMEWORK
ASSIGNMENT
Page(s):
Exercises:
=
(
·
Communtative Property of
Multiplication
)
· 20 · 13
· 13 or
Associative Property of
Multiplication
Multiply 100 and 13
Mentally.
Check Your Progress Name the property shown by the
statement 4 + (6 + 2) = (4 + 6) + 2.
Math Connects, Course 2
19
Score:________/________
30-Square Answer Sheet-----MAKE SURE YOU SHOW ALL YOUR WORK!
Name____________________________________________
Date ____________________________________________
Hour_____________________________________________
Lesson_____________________
#s_________________________
___________________________
5-Minute Check
Use with Lesson
1-9
(over Lesson 1-8)
Use the Distributive Property to write each
expression as an equivalent expression. Then
evaluate the expression.
1. 3(4 + 8)
2. 9(8 - 4)
Name the property shown by each statement.
3. x + y = y + x
4. 31 × 1 = 31
5. (m × n) × p = m × (n × p)
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
6.
Rewrite a × (b × c) using the
Associative Property of Multiplication.
Test Practice
A a × (c × b)
C (b × c) × a
B c × (a × b)
D (a × b) × c
ANSWERS
1. 3 • 4 + 3 • 8; 36
2. 9 • 8 - 4 • 9; 36
3. Commutative Property of Addition
4. Identity Property of Multiplication
5. Associative Property of Multiplication
6. D
Chapter 1
Glencoe Math Connects, Course 2
Algebra: Arithmetic Sequences
1–9
GLE: AR:1B,1C
BUILD YOUR VOCABULARY (pages 2–3)
MAIN IDEA
A sequence is an
• Describe the
relationships and
extend terms in
arithmetic sequences.
list of
.
is called a term.
Each number in a
In an arithmetic sequence, each term is found by
the same number to the
EXAMPLES
term.
Describe Patterns in Sequences
Describe the relationship between the terms in each
arithmetic sequence. Then write the next three terms in
the sequence.
7, 11, 15, 19, …
ORGANIZE IT
Write an example of
an arithmetic and a
geometric sequence on
the Lesson 1-9 page of
your Foldable.
7,
11,
15,
+
+
+
Each term is found by
19, ...
4 to the previous term.
Continue the pattern to find the next three terms.
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20
19 + 4 =
23 + 4 =
The next three terms are 23, 27, and 31.
Math Connects, Course 2
27 + 4 =
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
®
1–9
0.1, 0.5, 0.9, 1.3, …
0.1,
0.5,
+
+
0.9,
1.3, …
+
Each term is found by adding
to the previous term.
Continue the pattern to find the next three terms.
= 1.7
1.3 +
1.7 +
=
2.1 + 0.4 =
The next three terms are 1.7, 2.1, and 2.5.
Check Your Progress Describe the relationship
between the terms in each arithmetic sequence. Then
write the next three terms in the sequence.
a. 13, 24, 35, 46, …
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
b. 0.6, 1.5, 2.4, 3.3, …
WRITE IT
In your own words,
explain how to
determine the pattern
in a sequence.
EXAMPLE
Use a Table
EXERCISE Mehmet started a new exercise routine. The
first day, he did 2 sit-ups. Each day after that, he did 2
more sit-ups than the previous day. If he continues this
pattern, how many sit-ups will he do on the tenth day?
Position
Operation
1
2
d
Value of Term
2
2·2
3·2
6
d·2
2d
(continued on the next page)
Math Connects, Course 2
21
1–9
Each term is 2 times its position number. So, the expression
is
.
2n
2
(
Write the expression.
) = 20
Replace n with 10.
So, on the tenth day, Mehmet will do
sit-ups.
Check Your Progress CONCERTS The first row of a
theater has 8 seats. Each additional row has eight more seats
than the previous row. If this pattern continues, what algebraic
expression can be used to find the number of seats in the 15th
row? How many seats will be in the 15th row?
Page(s):
Exercises:
22
Math Connects, Course 2
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
HOMEWORK
ASSIGNMENT
Score:________/________
30-Square Answer Sheet-----MAKE SURE YOU SHOW ALL YOUR WORK!
Name____________________________________________
Date ____________________________________________
Hour_____________________________________________
Lesson_____________________
#s_________________________
___________________________
5-Minute Check
Use with Lesson
1-10
(over Lesson 1-9)
Describe the pattern in each sequence
and identify the sequence as arithmetic,
geometric, or neither.
1. 2, 16, 128, 1,024, . . .
2. 2.8, 6, 9.2, 12.4, . . .
Write the next three terms of each sequence.
3. 4, 12, 36, 108, . . .
4. 2.1, 2.8, 3.5, 4.2, . . .
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
5. Every 18 months, National Surveys conducts a
population survey of the United States. If they
conducted a survey in September of 2003,
when will they conduct the next four surveys?
6.
Find the next term in the
sequence 3.2, 12.8, 51.2, 204.8, . . .
Test Practice
A 723.5
B 819.2
C 845.9
D 901.1
ANSWERS
1. × 8; geometric
2. + 3.2; arithmetic
3. 324, 972, 2,916
4. 4.9, 5.6, 6.3
5. March 2005, September 2006,
March 2008, September 2009
6. B
Chapter 1
Glencoe Math Connects, Course 2
1–10
Algebra: Equations and Functions
GLE: AR:1D
BUILD YOUR VOCABULARY (pages 2–3)
MAIN IDEA
• Make function tables
A relationship where one thing depends on another is
called a function.
and write equations.
The
performed on the input is given by
the function rule.
numbers,
You can organize the
REMEMBER IT
When x and y are
used in an equation,
x usually represents
the input and y usually
represents the output.
numbers, and the function rule in a function table.
The set of
values is called the domain.
The set of
values is called the range.
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
EXAMPLE
Make a Function Table
Asha earns $6.00 an hour working at a grocery store.
Make a function table that shows Asha’s total earnings
for working 1, 2, 3, and 4 hours.
Input
Function
Output
Number of
Hours
Multiply by 6
Total
Earnings ($)
1
2
6
6×2
6×3
18
4
Math Connects, Course 2
23
1–10
Check Your Progress MOVIE RENTAL Dave goes to the
video store to rent a movie. The cost per movie is $3.50. Make
a function table that shows the amount Dave would pay for
renting 1, 2, 3, and 4 movies.
EXAMPLES
READING Melanie read 14 pages of a detective novel
each hour. Write an equation using two variables to
show how many pages p she read in h hours.
Function
Output
Number of
Hours (h)
Multiply by 14
Number of
Pages Read (p)
1
1 × 14
2
28
3 × 14
h
Words
42
14h
number
of pages equals
read
pages times
number
of hours
Let p represent the number of pages read.
Variable
Let
Equation
24
Math Connects, Course 2
p=
represent the number of hours.
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Input
1–10
READING Use your equation from Example 2 to find how
many pages Melanie read in 7 hours.
Write the equation.
p = 14
(
)
p=
Replace h with 7.
Multiply.
Melanie read 98 pages in 7 hours.
Check Your Progress
a. TRAVEL Derrick drove 55 miles per hour to visit his
grandmother. Write an equation using two variables to show
how many miles m he drove in h hours.
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
b. TRAVEL Use your equation from above to find how many
miles Derrick drove in 6 hours.
HOMEWORK
ASSIGNMENT
Page(s):
Exercises:
Math Connects, Course 2
25