## Introductory Algebra

• Author(s): Tussy et. al.     Publisher: Brooks/Cole 2002
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### 1. An Introduction to Algebra

#### 1.1. Describing Numerical Relationships

Using Tables, Rules and Graphs

#### 1.3. The Real Numbers

Real Number Line - Activity B

#### 1.6. Exponents and Order of Operations

Order of Operations

#### 1.7. Algebraic Expressions

Using Algebraic Expressions

### 2. Equations, Inequalities, and Problem Solving

#### 2.1. Solving Equations

Modeling One-Step Equations - Activity B

#### 2.4. More about Solving Equations

Modeling One-Step Equations - Activity B

Solving Two-Step Equations

Modeling and Solving Two-Step Equations

#### 2.5. Formulas

Solving Formulas for any Variable

#### 2.7. Inequalities

Compound Inequalities

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

### 3. Graphs, Linear Equations, and Functions

#### 3.1. Graphing Using the Rectangular Coordinate System

Points in the Coordinate Plane - Activity B

#### 3.2. Equations Containing Two Variables

Using Tables, Rules and Graphs

Linear Functions

#### 3.4. Rate of Change and the Slope of a Line

Slope - Activity A

#### 3.5. Describing Linear Relationships

Slope-Intercept Form of a Line - Activity A

#### 3.6. Writing Linear Equations

Points in the Coordinate Plane - Activity B

#### 3.7. Functions

Introduction to Functions

### 4. Exponents and Polynomials

#### 4.5. Adding and Subtracting Polynomials

Addition of Polynomials - Activity B

#### 4.7. Dividing Polynomials by Monomials

Dividing Exponential Expressions

#### 4.8. Dividing Polynomials by Polynomials

Dividing Polynomials Using Synthetic Division

### 5. Factoring and Quadratic Equations

#### 5.1. Factoring out the Greatest Common Factor and Factoring by Grouping

Factoring Special Products

#### 5.2. Factoring Trinomials of the Form x2 + bx + c

Modeling the Factorization of x2+bx+c

#### 5.3. Factoring Trinomials of the Form ax2 + bx + c

Modeling the Factorization of ax2+bx+c

#### 5.4. Special Factorizations and a Factoring Strategy

Factoring Special Products

Minimize Perimeter

### 6. Rational Expressions and Equations

#### 6.1. Simplifying Rational Expressions

Part:Part and Part:Whole Ratios

#### 6.2. Multiplying and Dividing Rational Expressions

Beam to Moon (Ratios and Proportions)

#### 6.3. Adding and Subtracting Rational Expressions

Estimating Population Size

#### 6.4. Complex Fractions

Proportions and Common Multipliers

#### 6.5. Rational Equations and Problem Solving

Rational Functions

#### 6.6. Proportions and Similar Triangles

Beam to Moon (Ratios and Proportions)

Estimating Population Size

Proportions and Common Multipliers

#### 6.7. Variation

Direct and Inverse Variation

### 7. Solving Systems of Equations and Inequalities

#### 7.1. Solving Systems of Equations by Graphing

Solving Linear Systems by Graphing

#### 7.3. Solving Systems of Equations by Addition

Systems of Linear Equations - Activity B

#### 7.4. Applications of Systems of Equations

Modeling Linear Systems - Activity B

#### 7.5. Graphing Linear Inequalities

Linear Inequalities in Two Variables - Activity A

#### 7.6. Solving Systems of Lineaer Inequalities

Systems of Linear Inequalities (Slope-intercept form) - Activity A

#### 8.1. Square Roots

Ordering and Approximating Square Roots

Square Roots

#### 8.6. Solving Radical Equations; the Distance Formula

Distance Formula - Activity B