Instructor’s Resource Manual
for
Developmental Mathematics
through Applications: Basic
ST
College Mathematics and
Algebra, 1st edition By
U
Geoffrey Akst, Sadie Bragg
D
YL
(All Chapters 1-19, 100%
AB
Original Verified, A+ Grade)
, TABLE OF CONTENT
1. Whole Numbers
1.1 Introduction to Whole Numbers
1.2 Adding and Subtracting Whole Numbers
1.3 Multiplying Whole Numbers
1.4 Dividing Whole Numbers
1.5 Exponents, Order of Operations, and Averages
1.6 More on Solving Word Problems
2. Fractions
2.1 Factors and Prime Numbers
2.2 Introduction to Fractions
ST
2.3 Adding and Subtracting Fractions
2.4 Multiplying and Dividing Fractions
3. Decimals
U
3.1 Introduction to Decimals
3.2 Adding and Subtracting Decimals
D
3.3 Multiplying Decimals
3.4 Dividing Decimals
YL
4. Basic Algebra: Solving Simple Equations
4.1 Introduction to Basic Algebra
4.2 Solving Addition and Subtraction Equations
AB
4.3 Solving Multiplication and Division Equations
5. Ratio and Proportion
5.1 Introduction to Ratios
5.2 Solving Proportions
6. Percents
6.1 Introduction to Percents
6.2 Solving Percent Problems
6.3 More on Percents
7. Signed Numbers
7.1 Introduction to Signed Numbers
7.2 Adding Signed Numbers
,7.3 Subtracting Signed Numbers
7.4 Multiplying Signed Numbers
7.5 Dividing Signed Numbers
8. Basic Statistics
8.1 Introduction to Basic Statistics
8.2 Tables and Graphs
9. Measurement and Units
9.1 U.S. Customary Units
9.2 Metric Units and Metric/U.S. Customary Unit Conversions
10. Basic Geometry
10.1 Introduction to Basic Geometry
ST
10.2 Perimeter and Circumference
10.3 Area
10.4 Volume
U
10.5 Similar Triangles
10.6 Square Roots and the Pythagorean Theorem
D
11. Introduction to Real Numbers and Algebraic Expressions
11.1 Real Numbers
YL
11.2 Using Properties to Add and Subtract Real Numbers
11.3 Using Properties to Multiply and Divide Real Numbers
11.4 Algebraic Expressions and Exponents
AB
11.5 Evaluating Algebraic Expressions and Formulas
11.6 Simplifying Algebraic Expressions
12. Solving Linear Equations and Inequalities
12.1 Solving Linear Equations: The Addition Property
12.2 Solving Linear Equations: The Multiplication Property
12.3 Solving Linear Equations by Combining Properties
12.4 Solving Literal Equations and Formulas
12.5 Solving Linear Inequalities
13. Graphing Linear Equations and Inequalities
13.1 Introduction to Graphing
13.2 Slope
, 13.3 Linear Equations and Their Graphs
13.4 More on Linear Equations and Their Graphs
13.5 Linear Inequalities and Their Graphs
14. Solving Systems of Linear Equations
14.1 Introduction to Systems of Linear Equations: Solving by Graphing
14.2 Solving Systems of Linear Equations by Substitution
14.3 Solving Systems of Linear Equations by Elimination
15. Exponents and Polynomials
15.1 Laws of Exponents
15.2 More Laws of Exponents and Scientific Notation
15.3 Basic Concepts of Polynomials
ST
15.4 Adding and Subtracting Polynomials
15.5 Multiplying Polynomials
15.6 Special Products
U
15.7 Dividing Polynomials
16. Factoring Polynomials
D
16.1 Common Factoring and Factoring by Grouping
16.2 Factoring Trinomials Whose Leading Coefficient Is 1
YL
16.3 Factoring Trinomials Whose Leading Coefficient Is Not 1
16.4 Factoring Perfect Square Trinomials and the Difference of Squares
16.5 Solving Quadratic Equations by Factoring
AB
17. Rational Expressions and Equations
17.1 Rational Expressions
17.2 Multiplying and Dividing Rational Expressions
17.3 Adding and Subtracting Rational Expressions
17.4 Complex Rational Expressions
17.5 Solving Rational Equations
18. Radical Expressions and Equations
18.1 Introduction to Radical Expressions
18.2 Adding and Subtracting Radical Expressions
18.3 Multiplying and Dividing Radical Expressions
18.4 Solving Radical Equations
for
Developmental Mathematics
through Applications: Basic
ST
College Mathematics and
Algebra, 1st edition By
U
Geoffrey Akst, Sadie Bragg
D
YL
(All Chapters 1-19, 100%
AB
Original Verified, A+ Grade)
, TABLE OF CONTENT
1. Whole Numbers
1.1 Introduction to Whole Numbers
1.2 Adding and Subtracting Whole Numbers
1.3 Multiplying Whole Numbers
1.4 Dividing Whole Numbers
1.5 Exponents, Order of Operations, and Averages
1.6 More on Solving Word Problems
2. Fractions
2.1 Factors and Prime Numbers
2.2 Introduction to Fractions
ST
2.3 Adding and Subtracting Fractions
2.4 Multiplying and Dividing Fractions
3. Decimals
U
3.1 Introduction to Decimals
3.2 Adding and Subtracting Decimals
D
3.3 Multiplying Decimals
3.4 Dividing Decimals
YL
4. Basic Algebra: Solving Simple Equations
4.1 Introduction to Basic Algebra
4.2 Solving Addition and Subtraction Equations
AB
4.3 Solving Multiplication and Division Equations
5. Ratio and Proportion
5.1 Introduction to Ratios
5.2 Solving Proportions
6. Percents
6.1 Introduction to Percents
6.2 Solving Percent Problems
6.3 More on Percents
7. Signed Numbers
7.1 Introduction to Signed Numbers
7.2 Adding Signed Numbers
,7.3 Subtracting Signed Numbers
7.4 Multiplying Signed Numbers
7.5 Dividing Signed Numbers
8. Basic Statistics
8.1 Introduction to Basic Statistics
8.2 Tables and Graphs
9. Measurement and Units
9.1 U.S. Customary Units
9.2 Metric Units and Metric/U.S. Customary Unit Conversions
10. Basic Geometry
10.1 Introduction to Basic Geometry
ST
10.2 Perimeter and Circumference
10.3 Area
10.4 Volume
U
10.5 Similar Triangles
10.6 Square Roots and the Pythagorean Theorem
D
11. Introduction to Real Numbers and Algebraic Expressions
11.1 Real Numbers
YL
11.2 Using Properties to Add and Subtract Real Numbers
11.3 Using Properties to Multiply and Divide Real Numbers
11.4 Algebraic Expressions and Exponents
AB
11.5 Evaluating Algebraic Expressions and Formulas
11.6 Simplifying Algebraic Expressions
12. Solving Linear Equations and Inequalities
12.1 Solving Linear Equations: The Addition Property
12.2 Solving Linear Equations: The Multiplication Property
12.3 Solving Linear Equations by Combining Properties
12.4 Solving Literal Equations and Formulas
12.5 Solving Linear Inequalities
13. Graphing Linear Equations and Inequalities
13.1 Introduction to Graphing
13.2 Slope
, 13.3 Linear Equations and Their Graphs
13.4 More on Linear Equations and Their Graphs
13.5 Linear Inequalities and Their Graphs
14. Solving Systems of Linear Equations
14.1 Introduction to Systems of Linear Equations: Solving by Graphing
14.2 Solving Systems of Linear Equations by Substitution
14.3 Solving Systems of Linear Equations by Elimination
15. Exponents and Polynomials
15.1 Laws of Exponents
15.2 More Laws of Exponents and Scientific Notation
15.3 Basic Concepts of Polynomials
ST
15.4 Adding and Subtracting Polynomials
15.5 Multiplying Polynomials
15.6 Special Products
U
15.7 Dividing Polynomials
16. Factoring Polynomials
D
16.1 Common Factoring and Factoring by Grouping
16.2 Factoring Trinomials Whose Leading Coefficient Is 1
YL
16.3 Factoring Trinomials Whose Leading Coefficient Is Not 1
16.4 Factoring Perfect Square Trinomials and the Difference of Squares
16.5 Solving Quadratic Equations by Factoring
AB
17. Rational Expressions and Equations
17.1 Rational Expressions
17.2 Multiplying and Dividing Rational Expressions
17.3 Adding and Subtracting Rational Expressions
17.4 Complex Rational Expressions
17.5 Solving Rational Equations
18. Radical Expressions and Equations
18.1 Introduction to Radical Expressions
18.2 Adding and Subtracting Radical Expressions
18.3 Multiplying and Dividing Radical Expressions
18.4 Solving Radical Equations
