Instructor’s Resource Manual
Developmental Mathematics through Applications: Basic College Mathematics and
Algebra, | 1st edition
By Geoffrey Akst | Sadie Bragg
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,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
2.3 Adding and Subtracting Fractions
2.4 Multiplying and Dividing Fractions
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3. Decimals
3.1 Introduction to Decimals
3.2 Adding and Subtracting Decimals
3.3 Multiplying Decimals
3.4 Dividing Decimals
4. Basic Algebra: Solving Simple Equations
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4.1 Introduction to Basic Algebra
4.2 Solving Addition and Subtraction Equations
4.3 Solving Multiplication and Division Equations
5. Ratio and Proportion
5.1 Introduction to Ratios
5.2 Solving Proportions
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6. Percents
6.1 Introduction to Percents
6.2 Solving Percent Problems
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6.3 More on Percents
7. Signed Numbers
7.1 Introduction to Signed Numbers
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7.2 Adding Signed Numbers
7.3 Subtracting Signed Numbers
7.4 Multiplying Signed Numbers
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7.5 Dividing Signed Numbers
8. Basic Statistics
8.1 Introduction to Basic Statistics
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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
10.2 Perimeter and Circumference
10.3 Area
10.4 Volume
10.5 Similar Triangles
10.6 Square Roots and the Pythagorean Theorem
11. Introduction to Real Numbers and Algebraic Expressions
11.1 Real Numbers
,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
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
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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
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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
15.4 Adding and Subtracting Polynomials
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15.5 Multiplying Polynomials
15.6 Special Products
15.7 Dividing Polynomials
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16. Factoring Polynomials
16.1 Common Factoring and Factoring by Grouping
16.2 Factoring Trinomials Whose Leading Coefficient Is
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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
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17. Rational Expressions and Equations
17.1 Rational Expressions
17.2 Multiplying and Dividing Rational Expression
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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
19. Quadratic Equations
19.1 Solving Quadratic Equations by Using the Square Root Property
19.2 Solving Quadratic Equations by Completing the Square
19.3 Solving Quadratic Equations by Using the Quadratic Formula
19.4 Graphing Quadratic Equations in Two Variables
, TU
TO
R
G
U
R
U
Developmental Mathematics through Applications: Basic College Mathematics and
Algebra, | 1st edition
By Geoffrey Akst | Sadie Bragg
TU
TO
R
G
U
R
U
,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
2.3 Adding and Subtracting Fractions
2.4 Multiplying and Dividing Fractions
TU
3. Decimals
3.1 Introduction to Decimals
3.2 Adding and Subtracting Decimals
3.3 Multiplying Decimals
3.4 Dividing Decimals
4. Basic Algebra: Solving Simple Equations
TO
4.1 Introduction to Basic Algebra
4.2 Solving Addition and Subtraction Equations
4.3 Solving Multiplication and Division Equations
5. Ratio and Proportion
5.1 Introduction to Ratios
5.2 Solving Proportions
R
6. Percents
6.1 Introduction to Percents
6.2 Solving Percent Problems
G
6.3 More on Percents
7. Signed Numbers
7.1 Introduction to Signed Numbers
U
7.2 Adding Signed Numbers
7.3 Subtracting Signed Numbers
7.4 Multiplying Signed Numbers
R
7.5 Dividing Signed Numbers
8. Basic Statistics
8.1 Introduction to Basic Statistics
U
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
10.2 Perimeter and Circumference
10.3 Area
10.4 Volume
10.5 Similar Triangles
10.6 Square Roots and the Pythagorean Theorem
11. Introduction to Real Numbers and Algebraic Expressions
11.1 Real Numbers
,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
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
TU
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
TO
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
15.4 Adding and Subtracting Polynomials
R
15.5 Multiplying Polynomials
15.6 Special Products
15.7 Dividing Polynomials
G
16. Factoring Polynomials
16.1 Common Factoring and Factoring by Grouping
16.2 Factoring Trinomials Whose Leading Coefficient Is
U
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
R
17. Rational Expressions and Equations
17.1 Rational Expressions
17.2 Multiplying and Dividing Rational Expression
U
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
19. Quadratic Equations
19.1 Solving Quadratic Equations by Using the Square Root Property
19.2 Solving Quadratic Equations by Completing the Square
19.3 Solving Quadratic Equations by Using the Quadratic Formula
19.4 Graphing Quadratic Equations in Two Variables
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TO
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