INSTRUCTOR’S RESOURCE MANUAL
WITH TESTS AND MINI-LECTURES
DEANA RICHMOND
AP
D EVELOPMENTAL M ATHEMATICS
WITH A PPLICATIONS AND
V ISUALIZATION
LU
P REALGEBRA , B EGINNING A LGEBRA ,
AND I NTERMEDIATE A LGEBRA
S ECOND E DITION
S0
Gary Rockswold
Minnesota State University, Mankato
Terry Krieger
01
Rochester Community and Technical College
with
Jessica Rockswold
, Contents
Mini-Lectures (ML)
Chapter 1 .......................................................................................................................................... 1
Chapter 2 .......................................................................................................................................... 8
Chapter 3 ........................................................................................................................................ 14
Chapter 4 ........................................................................................................................................ 19
Chapter 5 ........................................................................................................................................ 29
Chapter 6 ........................................................................................................................................ 38
Chapter 7 ........................................................................................................................................ 45
Chapter 8 ........................................................................................................................................ 52
Chapter 9 ........................................................................................................................................ 57
Chapter 10 ...................................................................................................................................... 63
Chapter 11 ...................................................................................................................................... 71
Chapter 12 ...................................................................................................................................... 77
AP
Chapter 13 ...................................................................................................................................... 84
Chapter 14 ...................................................................................................................................... 94
Chapter 15 .................................................................................................................................... 103
Chapter 16 .................................................................................................................................... 114
Chapter 17 .................................................................................................................................... 117
Chapter 18 .................................................................................................................................... 128
Chapter 19 .................................................................................................................................... 135
Chapter 20 .................................................................................................................................... 145
LU
Chapter 21 .................................................................................................................................... 151
Printable Test Forms (T)
Chapter 1 .......................................................................................................................................... 1
Chapter 2 ........................................................................................................................................ 11
Chapter 3 ........................................................................................................................................ 21
Chapter 4 ........................................................................................................................................ 31
Chapter 5 ........................................................................................................................................ 47
S0
Chapter 6 ........................................................................................................................................ 57
Chapter 7 ........................................................................................................................................ 67
Chapter 8 ........................................................................................................................................ 83
Chapter 9 ...................................................................................................................................... 101
Chapter 10 .................................................................................................................................... 111
Chapter 11 .................................................................................................................................... 129
Chapter 12 .................................................................................................................................... 147
01
Chapter 13 .................................................................................................................................... 157
Chapter 14 .................................................................................................................................... 167
Chapter 15 .................................................................................................................................... 179
Chapter 16 .................................................................................................................................... 197
Chapter 17 .................................................................................................................................... 213
Chapter 18 .................................................................................................................................... 223
Chapter 19 .................................................................................................................................... 241
Chapter 20 .................................................................................................................................... 259
Chapter 21 .................................................................................................................................... 287
Answers to Chapter Tests ............................................................................................................. 303
Cumulative Review Exercises and Answers ................................................................................ 371
Final Exams and Answers ............................................................................................................ 447
Additional Instructor Resources (R)
Resources for Success ...................................................................................................................... 1
Group Activities and Answers.......................................................................................................... 5
Teaching Tips Correlated to Textbook Sections ............................................................................ 55
Graphing Calculator Resources .................................................................................................... 129
,Mini-Lecture 1.1 DEVELOPMENTAL MATHEMATICS
Introduction to Whole Numbers
Objectives:
• Reviewing Natural Numbers and Whole Numbers
• Understanding Place Value
• Writing Whole Numbers in Word Form
• Writing Whole Numbers in Expanded Form
• Graphing Whole Numbers on the Number Line
o Graphing Whole Numbers
o Comparing Whole Numbers
• Reading Graphs and Tables
o Bar Graphs
o Line Graphs
AP
o Spider Charts
o Tables
Examples:
1. Identify the whole number(s).
2
a) 9 b) 7 c) 0 d) 5.631
LU
3
9
e) –3 f) 2.1 g) 4 h)
5
2. Identify the place value of the digit 2 in each number.
a) 72,365 b) 126,301,840 c) 296,431,860,806
S0
3. Write each number in word form.
a) 5302 b) 3,643,112 c) 502,000,076,000
4. Write each number in standard form.
a) two million, three hundred thousand, three
01
b) thirty-eight billion, five hundred forty-one million, seventy four thousand, eight hundred two
c) one hundred six trillion, four hundred two million
Teaching Notes:
• Some ESL students may need extra help learning the number period vocabulary such as ones, thousands,
millions, billions, trillions, etc. They may be accustomed to using periods instead of commas in place value.
• Many examples of tables are available on the Internet. Assign students to find examples and ask them to
explain how to read the tables and write the numbers in words.
Answers: 1) choices a, c, and g are whole numbers; 2a) thousands, b) ten-millions, c) hundred-billions; 3a) five
thousand, three hundred two, b) three million, six hundred forty-three thousand, one hundred twelve, c) five hundred
two billion, seventy-six thousand; 4a) 2,300,003, b) 38,541,074,802, c) 106,000,402,000,000
ML-1
Copyright © 2018 Pearson Education, Inc.
, DEVELOPMENTAL MATHEMATICS Mini-Lecture 1.2
Adding and Subtracting Whole Numbers; Perimeter
Objectives:
• Adding Whole Numbers
o Adding Whole Numbers without Regrouping
o Adding Whole Numbers with Regrouping
• Using Properties of Addition
o Commutative Property
o Associative Property
o Identity Property
• Recognizing Words Associated with Addition
• Subtracting Whole Numbers
o Subtracting Whole Numbers without Regrouping
AP
o Subtracting Whole Numbers with Regrouping
• Using Properties of Subtraction
• Recognizing Words Associated with Subtraction
• Solving Equations Involving Addition and Subtraction
• Solving Perimeter and Other Applications Involving Addition and Subtraction
Examples:
LU
1. Add.
a) 5+ 3 b) 4+7 c) 8+9 d) 6+2
e) 3+ 3 f) 6 + 4 + 3+ 7 g) 8+8+0+5
2. Add.
40,001 6505
S0
53 1123 96 5678
32, 442 173
a) + 12 b) + 345 c) d) + 47 e) + 3574 f)
+ 15,333 7044
+ 168
3. Solve each equation by finding the unknown value.
a) 13 − =8 b) − 14 = 3 c) 26 + = 54
01
4. Subtract.
664 51 1123 40,001
a) 98 − 51 b) 54 − 22 c) d) e) f)
− 51 − 12 − 345 − 15, 333
5. Find the perimeter of a triangle with sides of length 12 ft, 22 ft, and 25 ft.
Teaching Notes:
• Point out that the commutative property deals with the order of addends, whereas the associative property
deals with the grouping (order does not change) of addends.
• Have students practice basic subtraction facts. Some have trouble borrowing when zeros are involved.
Answers: 1a) 8, b) 11, c) 17, d) 8, e) 6, f) 20, g) 21; 2a) 65, b) 1468, c) 87,776, d) 143, e) 9252, f) 13,890; 3a) 4, b)
17, c) 28; 4a) 47, b) 32, c) 613, d) 39, e) 778, f) 24,668; 5) 59 ft
ML-2
Copyright © 2018 Pearson Education, Inc.
WITH TESTS AND MINI-LECTURES
DEANA RICHMOND
AP
D EVELOPMENTAL M ATHEMATICS
WITH A PPLICATIONS AND
V ISUALIZATION
LU
P REALGEBRA , B EGINNING A LGEBRA ,
AND I NTERMEDIATE A LGEBRA
S ECOND E DITION
S0
Gary Rockswold
Minnesota State University, Mankato
Terry Krieger
01
Rochester Community and Technical College
with
Jessica Rockswold
, Contents
Mini-Lectures (ML)
Chapter 1 .......................................................................................................................................... 1
Chapter 2 .......................................................................................................................................... 8
Chapter 3 ........................................................................................................................................ 14
Chapter 4 ........................................................................................................................................ 19
Chapter 5 ........................................................................................................................................ 29
Chapter 6 ........................................................................................................................................ 38
Chapter 7 ........................................................................................................................................ 45
Chapter 8 ........................................................................................................................................ 52
Chapter 9 ........................................................................................................................................ 57
Chapter 10 ...................................................................................................................................... 63
Chapter 11 ...................................................................................................................................... 71
Chapter 12 ...................................................................................................................................... 77
AP
Chapter 13 ...................................................................................................................................... 84
Chapter 14 ...................................................................................................................................... 94
Chapter 15 .................................................................................................................................... 103
Chapter 16 .................................................................................................................................... 114
Chapter 17 .................................................................................................................................... 117
Chapter 18 .................................................................................................................................... 128
Chapter 19 .................................................................................................................................... 135
Chapter 20 .................................................................................................................................... 145
LU
Chapter 21 .................................................................................................................................... 151
Printable Test Forms (T)
Chapter 1 .......................................................................................................................................... 1
Chapter 2 ........................................................................................................................................ 11
Chapter 3 ........................................................................................................................................ 21
Chapter 4 ........................................................................................................................................ 31
Chapter 5 ........................................................................................................................................ 47
S0
Chapter 6 ........................................................................................................................................ 57
Chapter 7 ........................................................................................................................................ 67
Chapter 8 ........................................................................................................................................ 83
Chapter 9 ...................................................................................................................................... 101
Chapter 10 .................................................................................................................................... 111
Chapter 11 .................................................................................................................................... 129
Chapter 12 .................................................................................................................................... 147
01
Chapter 13 .................................................................................................................................... 157
Chapter 14 .................................................................................................................................... 167
Chapter 15 .................................................................................................................................... 179
Chapter 16 .................................................................................................................................... 197
Chapter 17 .................................................................................................................................... 213
Chapter 18 .................................................................................................................................... 223
Chapter 19 .................................................................................................................................... 241
Chapter 20 .................................................................................................................................... 259
Chapter 21 .................................................................................................................................... 287
Answers to Chapter Tests ............................................................................................................. 303
Cumulative Review Exercises and Answers ................................................................................ 371
Final Exams and Answers ............................................................................................................ 447
Additional Instructor Resources (R)
Resources for Success ...................................................................................................................... 1
Group Activities and Answers.......................................................................................................... 5
Teaching Tips Correlated to Textbook Sections ............................................................................ 55
Graphing Calculator Resources .................................................................................................... 129
,Mini-Lecture 1.1 DEVELOPMENTAL MATHEMATICS
Introduction to Whole Numbers
Objectives:
• Reviewing Natural Numbers and Whole Numbers
• Understanding Place Value
• Writing Whole Numbers in Word Form
• Writing Whole Numbers in Expanded Form
• Graphing Whole Numbers on the Number Line
o Graphing Whole Numbers
o Comparing Whole Numbers
• Reading Graphs and Tables
o Bar Graphs
o Line Graphs
AP
o Spider Charts
o Tables
Examples:
1. Identify the whole number(s).
2
a) 9 b) 7 c) 0 d) 5.631
LU
3
9
e) –3 f) 2.1 g) 4 h)
5
2. Identify the place value of the digit 2 in each number.
a) 72,365 b) 126,301,840 c) 296,431,860,806
S0
3. Write each number in word form.
a) 5302 b) 3,643,112 c) 502,000,076,000
4. Write each number in standard form.
a) two million, three hundred thousand, three
01
b) thirty-eight billion, five hundred forty-one million, seventy four thousand, eight hundred two
c) one hundred six trillion, four hundred two million
Teaching Notes:
• Some ESL students may need extra help learning the number period vocabulary such as ones, thousands,
millions, billions, trillions, etc. They may be accustomed to using periods instead of commas in place value.
• Many examples of tables are available on the Internet. Assign students to find examples and ask them to
explain how to read the tables and write the numbers in words.
Answers: 1) choices a, c, and g are whole numbers; 2a) thousands, b) ten-millions, c) hundred-billions; 3a) five
thousand, three hundred two, b) three million, six hundred forty-three thousand, one hundred twelve, c) five hundred
two billion, seventy-six thousand; 4a) 2,300,003, b) 38,541,074,802, c) 106,000,402,000,000
ML-1
Copyright © 2018 Pearson Education, Inc.
, DEVELOPMENTAL MATHEMATICS Mini-Lecture 1.2
Adding and Subtracting Whole Numbers; Perimeter
Objectives:
• Adding Whole Numbers
o Adding Whole Numbers without Regrouping
o Adding Whole Numbers with Regrouping
• Using Properties of Addition
o Commutative Property
o Associative Property
o Identity Property
• Recognizing Words Associated with Addition
• Subtracting Whole Numbers
o Subtracting Whole Numbers without Regrouping
AP
o Subtracting Whole Numbers with Regrouping
• Using Properties of Subtraction
• Recognizing Words Associated with Subtraction
• Solving Equations Involving Addition and Subtraction
• Solving Perimeter and Other Applications Involving Addition and Subtraction
Examples:
LU
1. Add.
a) 5+ 3 b) 4+7 c) 8+9 d) 6+2
e) 3+ 3 f) 6 + 4 + 3+ 7 g) 8+8+0+5
2. Add.
40,001 6505
S0
53 1123 96 5678
32, 442 173
a) + 12 b) + 345 c) d) + 47 e) + 3574 f)
+ 15,333 7044
+ 168
3. Solve each equation by finding the unknown value.
a) 13 − =8 b) − 14 = 3 c) 26 + = 54
01
4. Subtract.
664 51 1123 40,001
a) 98 − 51 b) 54 − 22 c) d) e) f)
− 51 − 12 − 345 − 15, 333
5. Find the perimeter of a triangle with sides of length 12 ft, 22 ft, and 25 ft.
Teaching Notes:
• Point out that the commutative property deals with the order of addends, whereas the associative property
deals with the grouping (order does not change) of addends.
• Have students practice basic subtraction facts. Some have trouble borrowing when zeros are involved.
Answers: 1a) 8, b) 11, c) 17, d) 8, e) 6, f) 20, g) 21; 2a) 65, b) 1468, c) 87,776, d) 143, e) 9252, f) 13,890; 3a) 4, b)
17, c) 28; 4a) 47, b) 32, c) 613, d) 39, e) 778, f) 24,668; 5) 59 ft
ML-2
Copyright © 2018 Pearson Education, Inc.
