## Algebra 1: Concepts and Skills

• Author(s): Lasrson et. al.     Publisher: Houghton Mifflin 2001
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### 1. Connections to Algebra

#### 1.3. Order of Operations

Order of Operations

#### 1.5. Translating Words into Mathematical Symbols

Using Algebraic Expressions

Using Algebraic Equations

Histograms

#### 1.8. An Introduction to Functions

Using Tables, Rules and Graphs

Linear Functions

Introduction to Functions

### 2. Properties of Real Numbers

#### 2.1. The Real Number Line

Comparing and Ordering Integers

Comparing and Ordering Decimals

#### 2.2. Absolute Value

Comparing and Ordering Integers

#### 2.4. Subtracting Real Numbers

Sums and Differences with Decimals

#### 2.5. Multiplying Real Numbers

Multiplying with Decimals

#### 2.8. Dividing Real Numbers

Dividing Fractions

### 3. Solving Linear Equations

#### 3.1. Solving Equations Using Addition and Subtraction

Modeling One-Step Equations - Activity A

#### 3.2. Solving Equations Using Multiplication and Division

Modeling and Solving Two-Step Equations

Solving Two-Step Equations

#### 3.3. Solving Multi-Step Equations

Solving Equations By Graphing Each Side

#### 3.4. Solving Equations with Variables on Both Sides

Solving Equations By Graphing Each Side

#### 3.7. Formulas

Solving Formulas for any Variable

#### 3.8. Ratios and Rates

Distance-Time and Speed-Time Graphs

Distance-Time Graphs

#### 3.9. Percents

Percents and Proportions

### 4. Graphing Linear Equations and Functions

#### 4.1. The Coordinate Plane

Points in the Coordinate Plane - Activity B

#### 4.2. Graphing Linear Equations

Using Tables, Rules and Graphs

#### 4.4. Graphing Lines Using Intercepts

Defining a Line with Two Points

#### 4.5. The Slope of a Line

Slope - Activity B

Direct Variation

#### 4.7. Graphing Lines Using Slope-Intercept Form

Slope-Intercept Form of a Line - Activity B

#### 4.8. Functions and Relations

Introduction to Functions

### 5. Writing Linear Equations

#### 5.1. Slope-Intercept Form

Slope-Intercept Form of a Line - Activity B

#### 5.2. Point-Slope Form

Point-Slope Form of a Line - Activity A

#### 5.3. Writing Linear Equations Given Two Points

Defining a Line with Two Points

#### 5.4. Standard Form

Standard Form of a Line

### 6. Solving and Graphing Linear Inequalities

#### 6.1. Solving Inequalities Using Addition or Subtraction

Solving Linear Inequalities using Addition and Subtraction

#### 6.2. Solving Inequalities Using Multiplication or Division

Solving Inequalities Using Multiplication and Division

#### 6.4. Solving Compound Inequalities Involving AND

Compound Inequalities

#### 6.5. Solving Compound Inequalities Involving OR

Compound Inequalities

#### 6.6. Solving Absolute-Value Equations

Absolute Value with Linear Functions - Activity A

#### 6.7. Solving Absolute-Value Inequalities

Inequalities Involving Absolute Values

#### 6.8. Graphing Linear Inequalities in Two Variables

Linear Inequalities in Two Variables - Activity A

### 7. Systems of Linear Equations and Inequalities

#### 7.1. Graphing Linear Systems

Solving Linear Systems by Graphing

#### 7.3. Solving Linear Systems by Linear Combinations

Systems of Linear Equations - Activity B

#### 7.4. Linear Systems and Problem Solving

Modeling Linear Systems - Activity B

#### 7.5. Special Types of Linear Systems

Special Types of Solutions to Linear Systems

#### 7.6. Systems of Linear Inequalities

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

### 8. Exponents and Exponential Functions

#### 8.1. Multiplication Properties of Exponents

Multiplying Exponential Expressions

#### 8.2. Zero and Negative Exponents

Exponents and Power Rules

#### 8.3. Graphs of Exponential Functions

Exponential Functions - Activity A

#### 8.4. Division Properties of Exponents

Exponents and Power Rules

#### 8.6. Exponential Growth Functions

Exponential Growth and Decay - Activity A

#### 8.7. Exponential Decay Functions

Exponential Growth and Decay - Activity A

### 9. Quadratic Equations and Functions

#### 9.1. Square Roots

Square Roots

Quadratics in Polynomial Form - Activity A

### 10. Polynomials and Factoring

#### 10.5. Factoring x2 + bx + c

Modeling the Factorization of x2+bx+c

#### 10.6. Factoring ax2 + bx + c

Modeling the Factorization of ax2+bx+c

#### 10.7. Factoring Special Products

Factoring Special Products

### 11. Rational Expressions and Equations

#### 11.1. Proportions

Part:Part and Part:Whole Ratios

Beam to Moon (Ratios and Proportions)

Estimating Population Size

#### 11.2. Direct and Inverse Variation

Direct and Inverse Variation

#### 11.4. Multiplying and Dividing Rational Expressions

General Form of a Rational Function

### 12. Radicals and More Connections to Geometry

#### 12.1. Functions Involving Square Roots

Functions Involving Square Roots