Download Algebra 7_1 study guide Factors and Greatest Common Factors

7-1
Algebra: 7-1 Study Guide Factors and Greatest Common Factors (pp 456-458)
Factors and Greatest
Common Factors
Page 1 of 9
You Ready Chapter 07 Pre-test
Who uses this?
Web site designers who sell
electronic greeting cards can use
the greatest common factor of
numbers to design their Web sites.
(See Example 4.)
Objectives
Write the prime
factorization of numbers.
Find the GCF of
monomials.
Vocabulary
prime factorization
greatest common factor
The numbers that are multiplied
to find a product are called factors of
that product. A number is divisible by
its factors.
Attendance Questions. True or False.
You can use the factors of a number to write
the number as a product. The number 12 can
be factored several ways.
1. _____ 6 is a factor of 50.
2. _____ 7 is a factor 105.
&ACTORIZATIONSOF
A prime number is
a whole number
that has exactly two
positive factors, itself
and 1. The number 1
is not prime because
it only has one
positive factor.
The order of the factors does not change the product, but there is only one
example above that cannot be factored further. The circled factorization is the
prime factorization because all the factors are prime numbers. The
prime factors can be written in any order, and, except for changes in
the order, there is only one way to write the prime factorization
of a number.
3. List the factors of 28.
EXAMPLE
1
Writing Prime Factorizations
Write the prime factorization of 60.
Method 1 Factor tree
Method 2 Ladder diagram
Choose any two factors of 60 to begin.
Keep finding factors until each branch
ends in a prime factor.
Choose a prime factor of 60 to begin.
Keep dividing by prime factors until the
quotient is 1.
Èä
Ó Èä
Î Îä
Ó £ä
x x
£
ÓÊÊÊÊÊÊÎä
£äÊÊÊÊÊÊÎ
ÓÊÊÊÊÊÊÊx
60 = 2 · 3 · 2 · 5
60 = 2 · 2 · 5 · 3
2
The prime factorization of 60 is 2 · 2 · 3 · 5 or 2 · 3 · 5.
Write the prime factorization of each number.
1a. 40
1b. 33
1c. 49
1d. 19
456
Chapter 7 Factoring Polynomials
CC13_A1_MESE647036_C07L01.indd 456
5/2/11 1:00:27 PM
Tell whether each number is prime or composite. If the number is composite,
write it as the product of two numbers.
4. 11
5. 98
Vocabulary
prime factorization
greatest common factor
• I can write the prime factorization of numbers.
• I can find the GCF of monomials.
Common Core: CC.9-12.A.SSE.2 Use the structure of an expression to identify
ways to rewrite it. For example, see x4–y4 as (x2)2 - (y2)2, thus recognizing it as a
difference of squares that can be factored as (x2 – y2) (x2 + y2).
7-1
Algebra: 7-1 Study Guide Factors and Greatest Common Factors (pp 456-458)
Factors and Greatest
Common Factors
Page 2 of 9
6. What is the factor of a number?
Who uses this?
Web site designers who sell
electronic greeting cards can use
the greatest common factor of
numbers to design their Web sites.
(See Example 4.)
Objectives
Write the prime
factorization of numbers.
Find the GCF of
monomials.
Vocabulary
prime factorization
greatest common factor
The numbers that are multiplied
to find a product are called factors of
that product. A number is divisible by
its factors.
You can use the factors of a number to write
the number as a product. The number 12 can
be factored several ways.
&ACTORIZATIONSOF
A prime number is
a whole number
that has exactly two
positive factors, itself
and 1. The number 1
is not prime because
it only has one
positive factor.
The order of the factors does not change the product, but there is only one
example above that cannot be factored further. The circled factorization is the
prime factorization because all the factors are prime numbers. The
prime factors can be written in any order, and, except for changes in
the order, there is only one way to write the prime factorization
of a number.
7. What is the fundamental theorem of arithmetic?
EXAMPLE
1
Writing Prime Factorizations
Write the prime factorization of 60.
Method 1 Factor tree
Method 2 Ladder diagram
Choose any two factors of 60 to begin.
Keep finding factors until each branch
ends in a prime factor.
Choose a prime factor of 60 to begin.
Keep dividing by prime factors until the
quotient is 1.
Èä
Ó Èä
Î Îä
Ó £ä
x x
£
ÓÊÊÊÊÊÊÎä
£äÊÊÊÊÊÊÎ
ÓÊÊÊÊÊÊÊx
60 = 2 · 3 · 2 · 5
60 = 2 · 2 · 5 · 3
2
The prime factorization of 60 is 2 · 2 · 3 · 5 or 2 · 3 · 5.
Write the prime factorization of each number.
1a. 40
1b. 33
1c. 49
1d. 19
456
Remember!
A prime number has exactly two factors, itself
and 1. The number 1 is not prime because it only
has one factor.
Chapter 7 Factoring Polynomials
CC13_A1_MESE647036_C07L01.indd 456
5/2/11 1:00:27 PM
Video Example 1: Use the tree diagram and the ladder diagram to prime factorize
80.
number 1
e because
one
ctor.
prime factorization because all the factors are prime numbers. The
prime factors can be written in any order, and, except for changes in
the order, there is only one way to write the prime factorization
Algebra:
7-1 Study Guide Factors and Greatest Common Factors (pp 456-458)
number.
and Greatest
Page 3 of 9
7-1of aFactors
Common Factors
Who uses this?
Web site designers who sell
electronic greeting cards can use
the greatest common factor of
numbers to design their Web sites.
(See Example 4.)
Objectives
Write the prime
factorization of numbers.
XAMPLE
1
Writing Prime Factorizations
Find the GCF of
monomials.
Vocabulary
prime factorization
greatest common factor
Write the prime factorization of 60.
The numbers that are multiplied
to find a product are called factors of
that product. A number is divisible by
its factors.
You can use the factors of a number to write
the number as a product. The number 12 can
be factored several ways.
Method 1 Factor tree
Method 2 Ladder diagram
Choose any two factors of 60 to begin.
Keep finding factors until each branch
ends in a prime factor.
Choose a prime factor of 60 to begin.
Keep dividing by prime factors until the
quotient is 1.
&ACTORIZATIONSOF
A prime number is
a whole number
that has exactly two
positive factors, itself
and 1. The number 1
is not prime because
it only has one
positive factor.
EXAMPLE
The order of the factors does not change the product, but there is only one
example above that cannot be factored further. The circled factorization is the
prime factorization because all the factors are prime numbers. The
prime factors can be written in any order, and, except for changes in
the order, there is only one way to write the prime factorization
of a number.
1
Writing Prime Factorizations
Write the prime factorization of 60.
Method 1 Factor tree
Method 2 Ladder diagram
Choose any two factors of 60 to begin.
Keep finding factors until each branch
ends in a prime factor.
Choose a prime factor of 60 to begin.
Keep dividing by prime factors until the
quotient is 1.
Èä
Èä
ÓÊÊÊÊÊÊÎä
£äÊÊÊÊÊÊÎ
ÓÊÊÊÊÊÊÊx
Ó Èä
Î Îä
Ó £ä
x x
£
Ó Èä
Î Îä
Ó £ä
x x
£
ÓÊÊÊÊÊÊÎä
60 = 2 · 3 · 2 · 5
60 = 2 · 2 · 5 · 3
The prime factorization of 60 is 2 · 2 · 3 · 5 or 2 2 · 3 · 5.
£äÊÊÊÊÊÊÎ
Write the prime factorization of each number.
1a. 40
1b. 33
1c. 49
1d. 19
456
Chapter 7 Factoring Polynomials
ÓÊÊÊÊÊÊÊx
60 = 2 · 3 · 2 · 5
60 = 2 · 2 · 5 · 3
CC13_A1_MESE647036_C07L01.indd 456
5/2/11 1:00:27 PM
The prime factorization of 60 is 2 · 2 · 3 · 5 or 2 2 · 3 · 5.
Write the prime factorization of each number.
1c. 49
Example 1. Prime
98.1b. 33
1a.factorize
40
1d. 19
ter 7 Factoring Polynomials
01.indd 456
5/2/11 1:00:27
Guided Practice: Prime factorize the following numbers.
8. 40
9. 33
10. 49
11. 19
7-1
Algebra: 7-1 Study Guide Factors and Greatest Common Factors (pp 456-458)
Factors and Greatest
Common Factors
Page 4 of 9
12. What is the greatest common factor?
Who uses this?
Web site designers who sell
electronic greeting cards can use
the greatest common factor of
numbers to design their Web sites.
(See Example 4.)
Objectives
Write the prime
factorization of numbers.
Find the GCF of
monomials.
Vocabulary
prime factorization
greatest common factor
The numbers that are multiplied
to find a product are called factors of
that product. A number is divisible by
its factors.
You can use the factors of a number to write
the number as a product. The number 12 can
be factored several ways.
&ACTORIZATIONSOF
A prime number is
a whole number
that has exactly two
positive factors, itself
and 1. The number 1
is not prime because
it only has one
positive factor.
The order of the factors does not change the product, but there is only one
example above that cannot be factored further. The circled factorization is the
prime factorization because all the factors are prime numbers. The
prime factors can be written in any order, and, except for changes in
the order, there is only one way to write the prime factorization
of a number.
Video Example 2.
A)List the factor of 45 and 60 to find the GCF .
EXAMPLE
1
Writing Prime Factorizations
Write the prime factorization of 60.
Method 1 Factor tree
Method 2 Ladder diagram
Choose any two factors of 60 to begin.
Keep finding factors until each branch
ends in a prime factor.
Choose a prime factor of 60 to begin.
Keep dividing by prime factors until the
quotient is 1.
Èä
Ó Èä
Î Îä
Ó £ä
x x
£
ÓÊÊÊÊÊÊÎä
£äÊÊÊÊÊÊÎ
ÓÊÊÊÊÊÊÊx
60 = 2 · 3 · 2 · 5
60 = 2 · 2 · 5 · 3
2
The prime factorization of 60 is 2 · 2 · 3 · 5 or 2 · 3 · 5.
Write the prime factorization of each number.
1a. 40
1b. 33
1c. 49
1d. 19
456
Factors that are shared by two or more whole numbers are called common factors.
The greatest of these common factors is called the greatest common factor , or GCF.
Chapter 7 Factoring Polynomials
CC13_A1_MESE647036_C07L01.indd 456
5/2/11 1:00:27 PM
Factors of 12: 1, 2, 3, 4, 6, 12
B)Use prime factorization
to find the GCF of 24 and 36.
Factors of 32: 1, 2, 4, 8, 16, 32
Common factors: 1, 2, 4
The greatest of the common factors is 4.
AMPLE
2
Finding the GCF of Numbers
Find the GCF of each pair of numbers.
A 24 and 60
Method 1 List the factors.
factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
List all the factors.
factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Circle the GCF.
The GCF of 24 and 60 is 12.
B 18 and 27
Method 2 Use prime factorization.
18 = 2 · 3 · 3
27 =
3·3·3
Write the prime factorization of each number.
Align the common factors.
3·3=9
The GCF of 18 and 27 is 9.
Find the GCF of each pair of numbers.
2a. 12 and 16
2b. 15 and 25
You can also find the GCF of monomials that include variables. To find the GCF
7-1
Algebra: 7-1 Study Guide Factors and Greatest Common Factors (pp 456-458)
Factors and Greatest
Common Factors
Page 5 of 9
Example 2. Find the GCF of the following pairs of numbers.
A. 100 and 60
B. 26 and 52
Who uses this?
Web site designers who sell
electronic greeting cards can use
the greatest common factor of
numbers to design their Web sites.
(See Example 4.)
Objectives
Write the prime
factorization of numbers.
Find the GCF of
monomials.
Vocabulary
prime factorization
greatest common factor
The numbers that are multiplied
to find a product are called factors of
that product. A number is divisible by
its factors.
You can use the factors of a number to write
the number as a product. The number 12 can
be factored several ways.
&ACTORIZATIONSOF
A prime number is
a whole number
that has exactly two
positive factors, itself
and 1. The number 1
is not prime because
it only has one
positive factor.
EXAMPLE
The order of the factors does not change the product, but there is only one
example above that cannot be factored further. The circled factorization is the
prime factorization because all the factors are prime numbers. The
prime factors can be written in any order, and, except for changes in
the order, there is only one way to write the prime factorization
of a number.
1
Writing Prime Factorizations
Write the prime factorization of 60.
Method 1 Factor tree
Method 2 Ladder diagram
Choose any two factors of 60 to begin.
Keep finding factors until each branch
ends in a prime factor.
Choose a prime factor of 60 to begin.
Keep dividing by prime factors until the
quotient is 1.
Èä
Ó Èä
Î Îä
Ó £ä
x x
£
ÓÊÊÊÊÊÊÎä
£äÊÊÊÊÊÊÎ
ÓÊÊÊÊÊÊÊx
60 = 2 · 3 · 2 · 5
60 = 2 · 2 · 5 · 3
2
The prime factorization of 60 is 2 · 2 · 3 · 5 or 2 · 3 · 5.
Write the prime factorization of each number.
1a. 40
1b. 33
1c. 49
1d. 19
456
Chapter 7 Factoring Polynomials
Guided Practice: Find the GCF of the following pairs of numbers.
13. 12 and 16
14. 15 and 25
CC13_A1_MESE647036_C07L01.indd 456
5/2/11 1:00:27 PM
Video Example 3: Find the GCF of the following monomials.
A. 8x & 4x 2
B. 3a 2 & 5b 4
27 =
7-1
3·3·3
Align the common factors.
3·3=9
The GCF
of 18 Guide
and 27Factors
is 9. and Greatest Common Factors (pp 456-458)
Algebra:
7-1 Study
Factors and Greatest
Page 6 of 9
Common Factors
Who uses this?
Web site designers who sell
electronic greeting cards can use
the greatest common factor of
numbers to design their Web sites.
(See Example 4.)
Objectives
Write the prime
factorization of numbers.
Find the GCF of each pair of numbers.
2b. 15 and 25
Helpful Hint
2a. 12 and 16
Find the GCF of
monomials.
Vocabulary
prime factorization
greatest common factor
If two terms contain the same variable raised to
You can also find
the GCF ofthe
monomials
include
variables.
To find the GCF
different
powers,
GCFthat
will
contain
that
of monomials, write the prime factorization of each coefficient and write all
variable
raised to the lower power.
powers of variables as products. Then find the product of the common factors.
The numbers that are multiplied
to find a product are called factors of
that product. A number is divisible by
its factors.
You can use the factors of a number to write
the number as a product. The number 12 can
be factored several ways.
&ACTORIZATIONSOF
A prime number is
a whole number
that has exactly two
positive factors, itself
and 1. The number 1
is not prime because
it only has one
positive factor.
EXAMPLE
The order of the factors does not change the product, but there is only one
example above that cannot be factored further. The circled factorization is the
prime factorization because all the factors are prime numbers. The
prime factors can be written in any order, and, except for changes in
the order, there is only one way to write the prime factorization
of a number.
1
Writing Prime Factorizations
Write the prime factorization of 60.
AMPLE
3
Method 1 Factor tree
Method 2 Ladder diagram
Choose any two factors of 60 to begin.
Keep finding factors until each branch
ends in a prime factor.
Choose a prime factor of 60 to begin.
Keep dividing by prime factors until the
quotient is 1.
Finding the GCF of Monomials
Èä
Ó Èä
Î Îä
Ó £ä
x x
£
Find the GCF of each pair of monomials.
ÓÊÊÊÊÊÊÎä
£äÊÊÊÊÊÊÎ
ÓÊÊÊÊÊÊÊx
60 = 2 · 3 · 2 · 5
A 3x 3 and 6x 2
60 = 2 · 2 · 5 · 3
2
The prime factorization of 60 is 2 · 2 · 3 · 5 or 2 · 3 · 5.
Write the prime factorization of each
coefficient and write powers as products.
Align the common factors.
3x 3 =
3·x·x·x
6x 2 = 2 · 3 · x · x
Write the prime factorization of each number.
1a. 40
1b. 33
1c. 49
1d. 19
456
s contain
ariable
fferent
e GCF will
t variable
he lower
Chapter 7 Factoring Polynomials
CC13_A1_MESE647036_C07L01.indd 456
5/2/11 1:00:27 PM
Find the product of the common factors.
3 · x · x = 3x 2
The GCF of 3x 3 and 6x 2 is 3x 2.
B 4x 2 and 5y 3
Write the prime factorization of each
4x 2 = 2 · 2 ·
x·x
coefficient and write powers as products.
3
5y =
5·
y · y · y Align the common factors.
There are no common factors other than 1.
2
3
The GCF of 4x and 5y is 1.
Find the GCF of each pair of monomials.
Example 3. Find
the GCF of the
following pairs of numbers
3a. 18g 2 and 27
g 3 3 3b. 16a 6 and 9b
3c. 8x and 7v 2
3
2
2
A. 15x & 9x
B. 8x & 7y
7-1 Factors and Greatest Common Factors
457
2/15/11 12:54:59 AM
7-1
Algebra: 7-1 Study Guide Factors and Greatest Common Factors (pp 456-458)
Factors and Greatest
Common Factors
Page 7 of 9
Guided Practice. Find the GCF of the following pairs of numbers
15. 18g 2 & 27g 3
16. 16a 6 & 9b
17. 8x & 9v 2
Who uses this?
Web site designers who sell
electronic greeting cards can use
the greatest common factor of
numbers to design their Web sites.
(See Example 4.)
Objectives
Write the prime
factorization of numbers.
Find the GCF of
monomials.
Vocabulary
prime factorization
greatest common factor
The numbers that are multiplied
to find a product are called factors of
that product. A number is divisible by
its factors.
You can use the factors of a number to write
the number as a product. The number 12 can
be factored several ways.
&ACTORIZATIONSOF
A prime number is
a whole number
that has exactly two
positive factors, itself
and 1. The number 1
is not prime because
it only has one
positive factor.
EXAMPLE
The order of the factors does not change the product, but there is only one
example above that cannot be factored further. The circled factorization is the
prime factorization because all the factors are prime numbers. The
prime factors can be written in any order, and, except for changes in
the order, there is only one way to write the prime factorization
of a number.
1
Writing Prime Factorizations
Write the prime factorization of 60.
Method 1 Factor tree
Method 2 Ladder diagram
Choose any two factors of 60 to begin.
Keep finding factors until each branch
ends in a prime factor.
Choose a prime factor of 60 to begin.
Keep dividing by prime factors until the
quotient is 1.
Èä
Ó Èä
Î Îä
Ó £ä
x x
£
ÓÊÊÊÊÊÊÎä
£äÊÊÊÊÊÊÎ
ÓÊÊÊÊÊÊÊx
60 = 2 · 3 · 2 · 5
60 = 2 · 2 · 5 · 3
2
The prime factorization of 60 is 2 · 2 · 3 · 5 or 2 · 3 · 5.
Write the prime factorization of each number.
1a. 40
1b. 33
1c. 49
1d. 19
456
Chapter 7 Factoring Polynomials
CC13_A1_MESE647036_C07L01.indd 456
5/2/11 1:00:27 PM
Video Example 4: Morgan is hanging framed photographs by Ansel Adams and 12
photographs by Dorothea Lange. The photos will be displayed in rows along a
large wall with the same number in each row. How many rows will be there be if
Morgan puts the greatest possible number of photographs in each row?
7-1
Algebra: 7-1 Study Guide Factors and Greatest Common Factors (pp 456-458)
Factors and Greatest
Common Factors
Who uses this?
Web site designers who sell
electronic greeting cards can use
the greatest common factor of
numbers to design their Web sites.
(See Example 4.)
Objectives
Write the prime
factorization of numbers.
XAMPLE
4
Technology Application
Find the GCF of
monomials.
Vocabulary
prime factorization
greatest common factor
Page 8 of 9
The numbers that are multiplied
to find a product are called factors of
that product. A number is divisible by
its factors.
Garrison is creating a Web
page that offers electronic
greeting cards. He has 24
special occasion designs and
42 birthday designs. The cards
will be displayed with the same
number of designs in each row.
Special occasion and birthday
designs will not appear in the
same row. How many rows
will there be if Garrison puts
the greatest possible number
of designs in each row?
You can use the factors of a number to write
the number as a product. The number 12 can
be factored several ways.
&ACTORIZATIONSOF
A prime number is
a whole number
that has exactly two
positive factors, itself
and 1. The number 1
is not prime because
it only has one
positive factor.
EXAMPLE
The order of the factors does not change the product, but there is only one
example above that cannot be factored further. The circled factorization is the
prime factorization because all the factors are prime numbers. The
prime factors can be written in any order, and, except for changes in
the order, there is only one way to write the prime factorization
of a number.
1
Writing Prime Factorizations
Write the prime factorization of 60.
Method 1 Factor tree
Method 2 Ladder diagram
Choose any two factors of 60 to begin.
Keep finding factors until each branch
ends in a prime factor.
Choose a prime factor of 60 to begin.
Keep dividing by prime factors until the
quotient is 1.
Èä
Ó Èä
Î Îä
Ó £ä
x x
£
ÓÊÊÊÊÊÊÎä
£äÊÊÊÊÊÊÎ
ÓÊÊÊÊÊÊÊx
60 = 2 · 3 · 2 · 5
60 = 2 · 2 · 5 · 3
2
The prime factorization of 60 is 2 · 2 · 3 · 5 or 2 · 3 · 5.
Write the prime factorization of each number.
1a. 40
1b. 33
1c. 49
1d. 19
456
Party Time
Chapter 7 Factoring Polynomials
CC13_A1_MESE647036_C07L01.indd 456
5/2/11 1:00:27 PM
The 24 special occasion designs and 42 birthday designs must be divided
into groups of equal size. The number of designs in each row must be a
common factor of 24 and 42.
factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
factors of 42: 1, 2, 3, 6, 7, 14, 21, 42
Find the common factors of
24 and 42.
The GCF of 24 and 42 is 6.
The greatest possible number of designs in each row is 6. Find the
number of rows of each group of designs when there are 6 designs
in each row.
24
special occasion designs
___
= 4 rows
6 designs per row
42
birthday designs
__
= 7 rows
6 designs per row
When the greatest possible number of designs is in each row,
there are 11 rows in total.
4. Adrianne is shopping for a CD storage unit. She has 36 CDs
by pop music artists and 48 CDs by country music artists. She
wants to put the same number of CDs on each shelf without
putting pop music and country music CDs on the same shelf.
If Adrianne puts the greatest possible number of CDs on each
shelf, how many shelves does her storage unit need?
THINK AND DISCUSS
7-1
Algebra: 7-1 Study Guide Factors and Greatest Common Factors (pp 456-458)
Factors and Greatest
Common Factors
Page 9 of 9
Example 4. A cafeteria has 18 chocolate-milk cartons and 24 regular-milk cartons.
The cook wants to arrange the cartons with the same number of cartons in each
row. Chocolate and regular milk will not be in the same row. How many rows will
there be if the cook puts the greatest possible number of cartons in each row?
Who uses this?
Web site designers who sell
electronic greeting cards can use
the greatest common factor of
numbers to design their Web sites.
(See Example 4.)
Objectives
Write the prime
factorization of numbers.
Find the GCF of
monomials.
Vocabulary
prime factorization
greatest common factor
The numbers that are multiplied
to find a product are called factors of
that product. A number is divisible by
its factors.
You can use the factors of a number to write
the number as a product. The number 12 can
be factored several ways.
&ACTORIZATIONSOF
A prime number is
a whole number
that has exactly two
positive factors, itself
and 1. The number 1
is not prime because
it only has one
positive factor.
EXAMPLE
The order of the factors does not change the product, but there is only one
example above that cannot be factored further. The circled factorization is the
prime factorization because all the factors are prime numbers. The
prime factors can be written in any order, and, except for changes in
the order, there is only one way to write the prime factorization
of a number.
1
Writing Prime Factorizations
Write the prime factorization of 60.
Method 1 Factor tree
Method 2 Ladder diagram
Choose any two factors of 60 to begin.
Keep finding factors until each branch
ends in a prime factor.
Choose a prime factor of 60 to begin.
Keep dividing by prime factors until the
quotient is 1.
Èä
Ó Èä
Î Îä
Ó £ä
x x
£
ÓÊÊÊÊÊÊÎä
£äÊÊÊÊÊÊÎ
ÓÊÊÊÊÊÊÊx
60 = 2 · 3 · 2 · 5
60 = 2 · 2 · 5 · 3
2
The prime factorization of 60 is 2 · 2 · 3 · 5 or 2 · 3 · 5.
Write the prime factorization of each number.
1a. 40
1b. 33
1c. 49
1d. 19
456
Chapter 7 Factoring Polynomials
CC13_A1_MESE647036_C07L01.indd 456
5/2/11 1:00:27 PM
18. Guided Practice: Adrianne is shopping for a CD storage unit. She has 36 CDs
by pop music artists and 48 CDs by country music artists. She wants to put the
same number of CDs on each shelf without putting pop music and country music
CDs on the same shelf. If Adrianne puts the greatest possible number of CDs on
each shelf, how many shelves does her storage unit need?
7-1 Assignment (pp 459-461) 20, 26, 30, 31, 32, 36, 37, 42, 46, 48, 54, 56-58.