A unique and effective way to learn Algebra―updated with the latest instruction and review
Must Know High School Algebra provides a fresh approach to learning. As part of our Must Know series, this new edition makes sure what you really need to know is clear up-front. Rather than starting with goals to be met, chapters begin by telling you the most important concepts about the topic at hand―and then show you exactly how these concepts help you accomplish your goals.
Written by excerpt algebra educators, Must Know High School Algebra, Second Edition provides updated lesson content and useful examples to help clarify each topic. Every chapter closes with reinforcing exercises to get you the practice you need to gain confidence. New features to this edition focus on extra support and helping you avoid common mistakes. In the end, you get everything you need to build your algebra skills quickly and painlessly.
Features:
- More than 400 practice questions that parallel what you will find in your classwork and on exams
- Bonus app that includes 100+ flashcards to reinforce concepts
- “Extra Help” and “Easy Mistake” features put the emphasis on how to improve and what pitfalls to avoid
- Algebra topics aligned to national and state educational standards
- Practical examples throughout and an answer key with explanations make sure you understand the topics
- Conversational writing style and informative IRL (In Real Life) and BTW (By the Way) sidebars
- A special section for teachers with tips and strategies on teaching the material and content-specific specific links and resources
Author(s): Christopher Monahan, Laura Favata
Edition: 2
Publisher: McGraw Hill
Year: 2022
Language: English
Pages: 448
Tags: Algebra; Relations; Functions; Linear Equations; Systems of Linear Equations; Inequalities; Exponential Functions; Quadratic Functions; Radical Functions; Probability; Statistics
Cover
Title Page
Copyright Page
Contents
Author's Note
Introduction
The Flashcard App
1 Putting Numbers Together and Taking Them Apart
The Order of Operations
Variables and Expressions
Bases and Exponents
Evaluating Algebraic Expressions
Solving Two-Step Linear Equations
Exercises
2 Relations and Functions
Cartesian Coordinate Plane
Relations
Functions
Function Notation
Exercises
3 Linear Equations
Solving Multistep Linear Equations
Solving Linear Equations with Variables on Each Side of the Equation
Literal Equations
Writing Equations
Ratios and Proportions
Percent of Change
Weighted Averages
Two-Way Tables
Exercises
4 Equations of Linear Functions
Rate of Change and Slope
Graphing Equations in Slope-Intercept Form
Writing Equations in Slope-Intercept Form
Writing Equations in Point-Slope Form
Writing Equations in Standard Form
Graphing Equations in Standard Form
Parallel and Perpendicular Lines
Inverse Linear Functions
Exercises
5 Applications of Linear Functions
Word Problems: Coins, Geometry, and Motion
Coin Problems
Geometry Problems
Motion Problems
Direct Variation
Sequences
Arithmetic Sequences as Linear Functions
Arithmetic Series
Absolute Value
Exercises
6 Linear Inequalities
Solving Inequalities with the Four Operations
Solving Multistep Inequalities
Solving Compound Inequalities
Inequalities Involving Absolute Value
Graphing Inequalities in Two Variables
Exercises
7 Systems of Linear Equations and Inequalities
Graphing Systems of Equations
Algebraic Solutions
Substitution
Elimination Using Addition and Subtraction
Solution Using Matrices
Applying Systems of Linear Equations
Currency
Motion
Mixture
Systems of Inequalities
Exercises
8 Exponents and Exponential Functions
Multiplication Properties of Exponents
Division Properties of Exponents
Rational Exponents
Scientific Notation
Exponential Functions
Growth and Decay
Geometric Sequences as Exponential Functions
Recursive Formulas
Exercises
9 Quadratic Expressions and Equations
Adding and Subtracting Polynomials
Multiplying a Polynomial by a Monomial
Multiplying Polynomials
Multiplying Binomials
Multiplying Polynomials
Special Products
Differences of Squares
Perfect Squares
Factoring Polynomials
First Step: Always look for a common factor
Second Step: Is the polynomial one of the special polynomials?
Trial and Error: Part 1
Trial and Error: Part 2
Solving x2 + bx + c = 0
Exercises
10 Quadratic Functions and Equations
Completing the Square
Graphing Quadratic Functions
The Standard Form of the Parabola
The Vertex Form of the Parabola
Solving Quadratic Equations by Graphing
Transformations of Quadratic Functions
Solving Quadratic Equations by Using the Quadratic Formula
Special Functions
Exercises
11 Rational Expressions and Equations
Inverse Variation
Rational Functions
Simplifying Rational Expressions
Multiplying and Dividing Rational Expressions
Adding and Subtracting Rational Expressions
Mixed Expressions and Complex Fractions
Rational Equations
Dividing Polynomials
Exercises
12 Radical Functions and Geometry
Simplifying Radical Expressions
Operations with Radical Expressions
Radical Equations
The Pythagorean Theorem
Trigonometric Ratios
Exercises
13 Probability and Statistics
Statistics and Parameters
Measures of Central Tendency
Distributions of Data
Scatter Plots and Lines of Fit
Exercises
Answer Key
Teacher's Guide
