# Math 102/Chapter 1

### From charlesreid1

## Contents

# Chapter 1

Chapter 1: Equations and Inequalities

- Linear equations
- Quadratic equations
- Radical equations and factorable equations
- Solving inequalities
- Equations and inequalities with absolute value
- Applications (interest, rate, mixture)

## Section 1.1: Linear equations

Solving a linear equation

Solving a linear equation using a calculator

Solving an equation that leads to a linear equation (quadratic terms that cancel out)

Solving an equation that leads to a linear equation (rational terms that cancel out)

Equations with no solutions

Converting between Fahrenheit and Celsius

Investments

Hourly wage

## Section 1.2: Quadratic equations

Solving qe by factoring

Solving qe by factoring

Solving qe using square root method

Solving qe by completing the square

Solving qe by completing the square

Solving qe using qf

Solving qe using qf

Solving qe using qf

Solving inverse qe (a + b/x + c/x2) using qf

Constructing a box

## Section 1.4: Radical equations and factorable equations

Solving radical equation

Solving radical equation

Solving radical equation

Solving equation quadratic in form

Solving equation quadratic in form

Solving equation quadratic in form

Solving equation by factoring

Solving equation by factoring

## Section 1.5: Solving inequalities

Writing inequalities with interval notation

Writing intervals with inequality notation

Addition property of inequalities

Multiply an inequality by a positive number

Multiply an inequality by a negative number

Multiplication property of inequalities

Solving an inequality

Solving an inequality

Solving a combined inequality

Solving a combined inequality

Using reciprocal property to solve inequality

Creating equivalent inequalities

Physics application to ohm's law

## Section 1.6: Equations and inequalities with absolute value

Solving an equation involving absolute value

Solving inequality involving absolute value

## Section 1.7: Applications (interest, rate, mixture)

Translating verbal descriptions into mathematical expressions

Steps for solving applied problems

Interest problems

Finance: computing interest on a loan

Financial planning

Blending coffees

Physics: uniform motion (distance rate time)

# Chapter 1 Objectives

You should be able to do the following...

Section 1.1:

- Solve a linear equation
- Solve equations leading to linear equations
- Solve problems modeled by linear equations

Section 1.2:

- Solve quadratic equation by factoring
- Solve quadratic equation by completing the square
- Solve quadratic equation using quadratic formula
- Solve problems modeled by quadratic equations

Section 1.4:

- Solve radical equations
- Solve equations quadratic in form
- Solve equations by factoring

Section 1.5:

- Use interval notation
- Use properties of inequalities
- Solve inequalities

Section 1.6:

- Solve equations involving absolute value
- Solve inequalities involving absolute value

Section 1.7:

- Translate verbal descriptions into mathematical expressions
- Solve interest problems
- Solve mixture problems
- Solve uniform motion problems

# Flags

Math 102 - College AlgebraChapter-by-chapter outline: Chapter 1: Equations and Inequalities Math 102/Chapter 1 Chapter 2: Graphs Math 102/Chapter 2 Chapter 3: Functions and their Graphs Math 102/Chapter 3 Chapter 4: Linear and Quadratic Functions Math 102/Chapter 4 Chapter 5: Polynomial and Rational Functions Math 102/Chapter 5 Chapter 6: Exponential/Log Functions Math 102/Chapter 6 Chapter 8: Systems of Equations and Inequalities Math 102/Chapter 8
Puzzles: Puzzles
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