Chapter 3: Equations And Inequalitiesmr. Mac's Page

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Chapter 0 Preparing for Algebra

Chapter 3 Solving Linear Equations. In this chapter, students will find essential algebra lessons in solving the linear equations. Google keep markdown. They will learn about finding the solutions of equations using subtraction, addition, division, and multiplication. Further, they will develop the method for solving the equations and word problems with multiple steps.

0-1 Plan for Problem Solving

Non-homogeneous linear ODEs 23 3.1. Example applications 23 3.2. Linear operators 24 3.3. Solving non-homogeneous linear ODEs 25 3.4. Method of undetermined coe´Čâcients 26 3.5. Initial and boundary value problems 28 3.6. Degenerate inhomogeneities 30 3.7. Resonance 33 3.8. Equidimensional equations 37 3.9. Minimum grade of C required if MAC 1105 is used to satisfy Gordon Rule and general education requirements. Book Material: Chapter 1: Equations and Inequalities Chapter 2: Graphs Chapter 3: Functions and Their Graphs Chapter 4: Linear and Quadratic Functions Chapter 5: Polynomial and Rational Functions. Section 3.1 Bellwork: Travelocity Read page 55 Answer Critical Thinking Questions Be prepared to discuss. Chapter 3: Systems of Linear Equations and Inequalities. Chapter 5: Quadratic Functions, Equations, and Parabolas. CHAPTER 3 TEST on Monday, 10/17/16.

0-2 Real Numbers

0-3 Operations with Integers

0-4 Adding and Subtracting Rational Numbers

0-5 Multiplying and Dividing Rational Numbers

0-6 The Percent Proportion

0-7 Perimeter

0-8 Area

0-9 Volume

0-10 Surface Area

0-11 Simple Probability and Odds

0-12 Mean, Median, Mode, Range and Quartiles

0-13 Representing Data

Chapter 1 Expressions, Equations, and Functions

1-1 Variables and Expressions

1-2 Order of Operations

1-3 Properties of Numbers

Extend 1-3 Algebra Lab: Accuracy

1-4 The Distributive Property

1-5 Equations

1-6 Relations

1-7 Functions

Extend 1-7 Graphing Technology Lab: Representing Functions

1-8 Interpreting Graphs of Functions

Chapter 2 Linear Equations

2-1 Writing Equations

Explore 2-2 Algebra Lab: Solving Equations

2-2 Solving One-Step Equations

Explore 2-3 Algebra Lab: Solving Multi-Step Equations

2-3 Solving Multi-Step Equations

2-4 Solving Equations with the Variable on Each Side

2-5 Solving Equations Involving Absolute Value

2-6 Ratios and Proportions

Extend 2-6 Spreadsheet Lab: Descriptive Modeling

2-7 Percent of Change

Extend 2-7 Algebra Lab: Percentiles

Mac

2-8 Literal Equations and Dimensional Analysis

2-9 Weighted Averages

Chapter 3 Linear Functions

Explore 3-1 Algebra Lab: Analyzing Linear Graphs

3-1 Graphing Linear Equations

3-2 Solving Linear Equations by Graphing

Extend 3-2 Graphing Technology Lab: Graphing Linear Equations

Explore 3-3 Algebra Lab: Rate of Change of a Linear Function

3-3 Rate of Change and Slope

3-4 Direct Variation

3-5 Arithmetic Sequences as Linear Functions

Extend 3-5 Algebra Lab: Inductive and Deductive Reasoning

3-6 Proportional and Nonproportional Relationships

Chapter 4 Equations of Linear Functions

Explore 4-1 Graphing Technology Lab: Investigating Slope-Intercept Form

4-1 Graphing Equations in Slope-Intercept Form

Extend 4-1 Graphing Technology Lab: The Family of Linear Graphs

4-2 Writing Equations in Slope-Intercept Form

4-3 Writing Equations in Point-Slope Form

4-4 Parallel and Perpendicular Lines

4-5 Scatter Plots and Lines of Fit

Extend 4-5 Algebra Lab: Correlation and Causation

4-6 Regression and Median-Fit Lines

4-7 Inverse Linear Functions

Extend 4-7 Algebra Lab: Drawing Inverses

Chapter 5 Linear Inequalities

5-1 Solving Inequalities by Addition and Subtraction

Explore 5-2 Algebra Lab: Solving Inequalities

5-2 Solving Inequalities by Multiplication and Division

5-3 Solving Multi-Step Inequalities

Explore 5-4 Algebra Lab: Reading Compound Statements

5-4 Solving Compound Inequalities

5-5 Inequalities Involving Absolute Value

5-6 Graphing Inequalities in Two Variables

Extend 5-6 Graphing Technology Lab: Graphing Inequalities

Chapter 6 Systems of Linear Equations and Inequalities

6-1 Graphing Systems of Equations

Extend 6-1 Graphing Technology Lab: Systems of Equations

6-2 Substitution

6-3 Elimination Using Addition and Subtraction

6-4 Elimination Using Multiplication

6-5 Applying Systems of Linear Equations

Extend 6-5 Algebra Lab: Using Matrices to Solve Systems of Equations

6-6 Systems of Inequalities

Extend 6-6 Graphing Technology Lab: Systems of Inequalities

Chapter 3: Equations And Inequalitiesmr. Mac's Page Sheet

Chapter 7 Exponents and Exponential Functions

7-1 Multiplication Properties of Exponents

7-2 Division Properties of Exponents

7-3 Rational Exponents

7-4 Scientific Notation

Explore 7-5 Graphing Technology Lab: Family of Exponential Functions

7-5 Exponential Functions

Extend 7-5 Graphing Technology Lab: Solving Exponential Equations and Inequalities

7-6 Growth and Decay

Extend 7-6 Algebra Lab: Analyzing Exponential Equations

7-7 Geometric Sequences as Exponential Functions

Extend 7-7 Algebra Lab: Average Rate of Change of Exponential Functions

7-8 Recursive Formulas

Chapter 8 Quadratic Expressions and Equations

Explore 8-1 Algebra Lab: Adding and Subtracting Polynomials

8-1 Adding and Subtracting Polynomials

8-2 Multiplying a Polynomial by a Monomial

Explore 8-3 Algebra Lab: Multiplying Polynomials

8-3 Multiplying Polynomials

8-4 Special Products

Explore 8-5 Algebra Lab: Factoring Using the Distributive Property

8-5 Using the Distributive Property

Chapter 3: Equations And Inequalitiesmr. Mac

Explore 8-6 Algebra Lab: Factoring Trinomials

8-6 Solving x2 + bx + c = 0

8-7 Solving ax2 + bx + c = 0

8-8 Differences of Squares

8-9 Perfect Squares

Chapter 9 Quadratic Functions and Equations

9-1 Graphing Quadratic Functions

Extend 9-1 Graphing Technology Lab: Rate of Change of a Quadratic Function

9-2 Solving Quadratic Equations by Graphing

Extend 9-2 Graphing Technology Lab: Quadratic Inequalities

Explore 9-3 Graphing Technology Lab: Family of Quadratic Functions

9-3 Transformations of Quadratic Functions

Extend 9-3 Graphing Technology Lab: Systems of Linear and Quadratic Equations

9-4 Solving Quadratic Equations by Completing the Square

Extend 9-4 Algebra Lab: Finding the Maximum or Minimum Value

9-5 Solving Quadratic Equations by Using the Quadratic Formula

9-6 Analyzing Functions with Successive Differences and Ratios

Extend 9-6 Graphing Technology Lab: Curve Fitting

9-7 Special Functions

Extend 9-7 Graphing Technology Lab: Piecewise-Linear Functions

Chapter 10 Radical Functions and Geometry

Explore 10-1 Algebra Lab: Inverse Functions

10-1 Square Root Functions

Extend 10-1 Graphing Technology Lab: Graphing Square Root Functions

10-2 Simplifying Radical Expressions

Extend 10-2 Algebra Lab: Rational and Irrational Numbers

10-3 Operations with Radical Expressions

Extend 10-3 Algebra Lab: Simplifying nth Root Expressions

10-4 Radical Equations

10-5 The Pythagorean Theorem

Extend 10-5 Algebra Lab: Distance on the Coordinate Plane

Explore 10-6 Algebra Lab: Trigonometric Ratios

10-6 Trigonometric Ratios

Chapter 11 Rational Functions and Equations

Explore 11-1 Graphing Technology Lab: Inverse Variation

11-1 Inverse Variation

Explore 11-2 Graphing Technology Lab: Family of Rational Functions

11-2 Rational Functions

11-3 Simplifying Rational Expressions

Extend 11-3 Graphing Technology Lab: Simplifying Rational Expressions

11-4 Multiplying and Dividing Rational Expressions

11-5 Dividing Polynomials

11-6 Adding and Subtracting Rational Expressions

11-7 Mixed Expressions and Complex Fractions

11-8 Rational Equations and Functions

Extend 11-8 Graphing Technology Lab: Solving Rational Equations

Chapter 12 Statistics and Probability

12-1 Samples and Studies

Extend 12-1 Algebra Lab: Evaluating Published Data

Chapter 3: Equations And Inequalitiesmr. Mac's Page Number

12-2 Statistics and Parameters

12-3 Distributions of Data

12-4 Comparing Sets of Data

12-5 Simulations

12-6 Permutations and Combinations

12-7 Probability of Compound Events

Chapter 3: Equations And Inequalitiesmr. Mac's Page Pdf

Extend 12-7 Algebra Lab: Two-Way Frequency Tables

Chapter 3: Equations And Inequalitiesmr. Mac's Page Key

12-8 Probability Distributions

Extend 12-8 Graphing Technology Lab: The Normal Curve