# Elementary & Intermediate Algebra: Functions and Authentic Applications, 3rd edition

• Jay Lehmann

• Search, highlight, notes, and more
• Easily create flashcards
• Use the app for access anywhere
• 14-day refund guarantee

\$10.99per month

Minimum 4-month term, pay monthly or pay \$43.96 upfront

• Watch and learn

Videos & animations bring concepts to life

• Find it fast

Quickly navigate your eTextbook with search

• Stay organized

Access all your eTextbooks in one place

• Easily continue access

Keep learning with auto-renew

## Overview

Are you looking for a new sound in algebra? Seeking to answer the perennial question “But what is this good for?” Elementary & Intermediate Algebra models authentic data through curve-fitting to give new meaning to the math. It uses authentic, real-life data sets to find models and derive equations that fit the scenario. The curve-fitting approach teaches the mathematical concepts within the context of data, engaging you from the start and building conceptual understanding. The 3rd Edition updates data sets throughout and offers new Large Data Set exercises to get you comfortable with analyzing big data. New downloadable data sets support the appropriate use of technology when completing exercises and labs. Throughout, even more resources are provided for you to practice, review and explore concepts.

ISBN-13: 9780137399536

Subject: Developmental Math

Category: Beginning & Intermediate Algebra Combined

## Overview

1. Introduction to Modeling
• 1.1 Variables and Constants
• 1.2 Scatterplots
• 1.3 Exact Linear Relationships
• 1.4 Approximate Linear Relationships
• Taking It to the Lab: Climate Change Lab • Volume Lab • Linear Graphing Lab: Topic of Your Choice
2. Operations and Expressions
• 2.1 Expressions
• 2.2 Operations with Fractions
• 2.3 Absolute Value and Adding Real Numbers
• 2.4 Change in a Quantity and Subtracting Real Numbers
• 2.5 Ratios, Percents, and Multiplying and Dividing Real Numbers
• 2.6 Exponents and Order of Operations
• Taking It to the Lab: Climate Change Lab (continued from Chapter 1) • Stocks Lab
3. Using Slope to Graph Linear Equations
• 3.1 Graphing Equations of the Forms y = mx + b and x = a
• 3.2 Graphing Linear Models; Unit Analysis
• 3.3 Slope of a Line
• 3.4 Using Slope to Graph Linear Equations
• 3.5 Rate of Change
• Taking It to the Lab: Climate Change Lab (continued from Chapter 2) • Workout Lab • Balloon Lab
4. Simplifying Expressions and Solving Equations
• 4.1 Simplifying Expressions
• 4.2 Simplifying More Expressions
• 4.3 Solving Linear Equations in One Variable
• 4.4 Solving More Linear Equations in One Variable
• 4.5 Comparing Expressions and Equations
• 4.6 Formulas
5. Linear Functions and Linear Inequalities in One Variable
• 5.1 Graphing Linear Equations
• 5.2 Functions
• 5.3 Function Notation
• 5.4 Finding Linear Equations
• 5.5 Finding Equations of Linear Models
• 5.6 Using Function Notation with Linear Models to Make Estimates and Predictions
• 5.7 Solving Linear Inequalities in One Variable
• Taking It to the Lab: Climate Change Lab (continued from Chapter 3) • Golf Ball Lab • Rope Lab • Shadow Lab • Linear Lab: Topic of Your Choice
6. Systems of Linear Equations and Systems of Linear Inequalities
• 6.1 Using Graphs and Tables to Solve Systems
• 6.2 Using Substitution to Solve Systems
• 6.3 Using Elimination to Solve Systems
• 6.4 Using Systems to Model Data
• 6.5 Perimeter, Value, Interest, and Mixture Problems
• 6.6 Linear Inequalities in Two Variables; Systems of Linear Inequalities in Two Variables
• Taking It to the Lab: Climate Change Lab (continued from Chapter 5) • Sports Lab • Truck Lab
7. Polynomial Functions and Properties of Exponents
• 7.1 Adding and Subtracting Polynomial Expressions and Functions
• 7.2 Multiplying Polynomial Expressions and Functions
• 7.3 Powers of Polynomials; Product of Binomial Conjugates
• 7.4 Properties of Exponents
• 7.5 Dividing Polynomials: Long Division and Synthetic Division
• Taking It to the Lab: Climate Change Lab (continued from Chapter 6) • Projectile Lab
8. Factoring Polynomials and Solving Polynomial Equations
• 8.1 Factoring Trinomials of the Form x2 + bx + c and Differences of Two Squares
• 8.2 Factoring Out the GCF; Factoring by Grouping
• 8.3 Factoring Trinomials of the Form ax2 + bx + c
• 8.4 Sums and Differences of Cubes; A Factoring Strategy
• 8.5 Using Factoring to Solve Polynomial Equations
• 8.6 Using Factoring to Make Predictions with Quadratic Models
• 9.1 Graphing Quadratic Functions in Vertex Form
• 9.2 Graphing Quadratic Functions in Standard Form
• 9.4 Using the Square Root Property to Solve Quadratic Equations
• 9.5 Solving Quadratic Equations by Completing the Square
• 9.7 Solving Systems of Linear Equations in Three Variables; Finding Quadratic Functions
• 9.9 Modeling with Quadratic Functions
• Taking It to the Lab: Climate Change Lab (continued from Chapter 7) • Projectile Lab (continued from Chapter 7) • Projectile Lab (Using a CBR or CBL) • Water Flow Lab • Quadratic Lab: Topic of Your Choice
10. Exponential Functions
• 10.1 Integer Exponents
• 10.2 Rational Exponents
• 10.3 Graphing Exponential Functions
• 10.4 Finding Equations of Exponential Functions
• 10.5 Using Exponential Functions to Model Data
• Taking It to the Lab: Stringed Instrument Lab • Cooling Water Lab • Exponential Lab: Topic of Your Choice
11. Logarithmic Functions
• 11.1 Composite Functions
• 11.2 Inverse Functions
• 11.3 Logarithmic Functions
• 11.4 Properties of Logarithms
• 11.5 Using the Power Property with Exponential Models to Make Predictions
• 11.6 More Properties of Logarithms
• 11.7 Natural Logarithms
• Taking It to the Lab: China and India Populations Lab • Folding Paper Lab • Exponential/Logarithmic Lab:
12. Rational Functions
• 12.1 Finding the Domains of Rational Functions and Simplifying Rational Expressions
• 12.2 Multiplying and Dividing Rational Expressions; Converting Units
• 12.3 Adding and Subtracting Rational Expressions
• 12.4 Simplifying Complex Rational Expressions
• 12.5 Solving Rational Equations
• 12.6 Modeling with Rational Functions
• 12.7 Proportions; Similar Triangles
• 12.8 Variation
• Taking It to the Lab: Climate Change Lab (continued from Chapter 9) • Illumination Lab • Boyle’s Law Lab • Estimating 5 Lab
• 13.3 Rationalizing Denominators and Simplifying Quotients of Radical Expressions
• 13.4 Graphing and Combining Square Root Functions
• 13.6 Modeling with Square Root Functions
• Taking It to the Lab: Pendulum Lab
14. Sequences and Series
• 14.1 Arithmetic Sequences
• 14.2 Geometric Sequences
• 14.3 Arithmetic Series
• 14.4 Geometric Series
• Taking It to the Lab: Bouncing Ball Lab • Stacked Cups Lab
• 15.1 Absolute Value: Equations and Inequalities
• 15.2 Performing Operations with Complex Numbers
• 15.3 Pythagorean Theorem, Distance Formula, and Circles
• 15.4 Ellipses and Hyperbolas
• 15.5 Solving Nonlinear Systems of Equations

### APPENDICES

• A. Using a TI-83 or TI-84 Graphing Calculator
• B. Using StatCrunch

Pearson+ is your 1-stop shop with eTextbooks, study tools and exam prep features designed to help students get better grades in college. eTextbooks come with built-in tools that simplify studying, like flashcards, audiobook and search. Pearson+ also features Channels, which includes practice problems, study guides, Q&A with experts, video lessons that help you understand tricky topics and more—all in one place. Channels can be purchased separately or added on to your eTextbook at the time of purchase as part of the Study & Exam Prep Pack.
The Study & Exam Prep Pack includes practice problems, study guides, Q&A with experts, Channels video lessons that help you understand tricky topics and more. It can be added on to your eTextbook or your MyLab and Mastering learning platform at the time of purchase.
Your eTextbook subscription gives you access for 4 months. You can make a one‑time payment for the initial 4‑month term or pay monthly. If you opt for monthly payments, we will charge your payment method each month until your 4‑month term ends. You can turn on auto‑renew in My account at any time to continue your subscription before your 4‑month term ends.

When you purchase an eTextbook subscription, it will last 4 months. You can renew your subscription by selecting Extend subscription on the Manage subscription page in My account before your initial term ends.

If you extend your subscription, we'll automatically charge you every month. If you made a one‑time payment for your initial 4‑month term, you'll now pay monthly. To make sure your learning is uninterrupted, please check your card details.

To avoid the next payment charge, select Cancel subscription on the Manage subscription page in My account before the renewal date. You can subscribe again in the future by purchasing another eTextbook subscription.

Channels is a video platform with thousands of explanations, solutions and practice problems to help you do homework and prep for exams. Videos are personalized to your course, and tutors walk you through solutions. Plus, interactive AI‑powered summaries and a social community help you better understand lessons from class.