Must know high school algebra

Chris Monahan

Book - 2022

A unique and effective way to learn Algebra-updated with the latest instruction and review.

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Subjects
Genres
Problems and exercises
Published
New York : McGraw Hill [2022]
Language
English
Main Author
Chris Monahan (author)
Other Authors
Laura Favata (author)
Edition
Second edition
Item Description
Includes text, answer key, and teacher's guide.
Physical Description
x, 431 pages : illustrations ; 24 cm
ISBN
9781264286393
  • 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 x 2 + 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