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E-raamat: Must Know High School Algebra, Second Edition

  • Formaat: 448 pages
  • Ilmumisaeg: 12-Jun-2022
  • Kirjastus: McGraw-Hill Education
  • Keel: eng
  • ISBN-13: 9781264286409
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  • Formaat: 448 pages
  • Ilmumisaeg: 12-Jun-2022
  • Kirjastus: McGraw-Hill Education
  • Keel: eng
  • ISBN-13: 9781264286409
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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 Note ix
Introduction 1(4)
The Flashcard App
4(1)
1 Putting Numbers Together and Taking Them Apart
5(18)
The Order of Operations
6(5)
Variables and Expressions
11(2)
Bases and Exponents
13(2)
Evaluating Algebraic Expressions
15(3)
Solving Two-Step Linear Equations
18(2)
Exercises
20(3)
2 Relations and Functions
23(14)
Cartesian Coordinate Plane
24(4)
Relations
28(2)
Functions
30(2)
Function Notation
32(3)
Exercises
35(2)
3 Linear Equations
37(28)
Solving Multistep Linear Equations
38(3)
Solving Linear Equations with Variables on Each Side of the Equation
41(3)
Literal Equations
44(3)
Writing Equations
47(4)
Ratios and Proportions
51(3)
Percent of Change
54(3)
Weighted Averages
57(2)
Two-Way Tables
59(2)
Exercises
61(4)
4 Equations of Linear Functions
65(36)
Rate of Change and Slope
66(8)
Graphing Equations in Slope-Intercept Form
74(4)
Writing Equations in Slope-Intercept Form
78(3)
Writing Equations in Point-Slope Form
81(3)
Writing Equations in Standard Form
84(2)
Graphing Equations in Standard Form
86(3)
Parallel and Perpendicular Lines
89(3)
Inverse Linear Functions
92(3)
Exercises
95(6)
5 Applications of Linear Functions
101(32)
Word Problems: Coins, Geometry, and Motion
102(1)
Coin Problems
102(3)
Geometry Problems
105(3)
Motion Problems
108(3)
Direct Variation
111(3)
Sequences
114(4)
Arithmetic Sequences as Linear Functions
118(3)
Arithmetic Series
121(3)
Absolute Value
124(5)
Exercises
129(4)
6 Linear Inequalities
133(18)
Solving Inequalities with the Four Operations
134(2)
Solving Multistep Inequalities
136(1)
Solving Compound Inequalities
137(4)
Inequalities Involving Absolute Value
141(2)
Graphing Inequalities in Two Variables
143(6)
Exercises
149(2)
7 Systems of Linear Equations and Inequalities
151(32)
Graphing Systems of Equations
152(3)
Algebraic Solutions
155(1)
Substitution
156(2)
Elimination Using Addition and Subtraction
158(4)
Solution Using Matrices
162(4)
Applying Systems of Linear Equations
166(1)
Currency
166(2)
Motion
168(3)
Mixture
171(2)
Systems of Inequalities
173(6)
Exercises
179(4)
8 Exponents and Exponential Functions
183(32)
Multiplication Properties of Exponents
184(2)
Division Properties of Exponents
186(3)
Rational Exponents
189(4)
Scientific Notation
193(2)
Exponential Functions
195(4)
Growth and Decay
199(4)
Geometric Sequences as Exponential Functions
203(3)
Recursive Formulas
206(5)
Exercises
211(4)
9 Quadratic Expressions and Equations
215(30)
Adding and Subtracting Polynomials
216(3)
Multiplying a Polynomial by a Monomial
219(1)
Multiplying Polynomials
220(1)
Multiplying Binomials
220(5)
Multiplying Polynomials
225(2)
Special Products
227(1)
Differences of Squares
228(1)
Perfect Squares
228(2)
Factoring Polynomials
230(1)
First Step Always look for a common factor
230(1)
Second Step Is the polynomial one of the special polynomials?
231(2)
Trial and Error: Part 1
233(2)
Trial and Error: Part 2
235(4)
Solving x2 + bx + c = 0
239(2)
Exercises
241(4)
10 Quadratic Functions and Equations
245(35)
Completing the Square
246(4)
Graphing Quadratic Functions
250(1)
The Standard Form of the Parabola
250(5)
The Vertex Form of the Parabola
255(2)
Solving Quadratic Equations by Graphing
257(3)
Transformations of Quadratic Functions
260(3)
Solving Quadratic Equations by Using the Quadratic Formula
263(3)
Special Functions
266(7)
Exercises
273(4)
Rational Expressions and Equations
277(1)
Inverse Variation
278(2)
11 Rational Functions
280(29)
Simplifying Rational Expressions
282(2)
Multiplying and Dividing Rational Expressions
284(2)
Adding and Subtracting Rational Expressions
286(3)
Mixed Expressions and Complex Fractions
289(4)
Rational Equations
293(4)
Dividing Polynomials
297(6)
Exercises
303(6)
12 Radical Functions and Geometry
309(30)
Simplifying Radical Expressions
310(4)
Operations with Radical Expressions
314(3)
Radical Equations
317(3)
The Pythagorean Theorem
320(4)
Trigonometric Ratios
324(8)
Exercises
332(7)
13 Probability and Statistics
339(32)
Statistics and Parameters
340(1)
Measures of Central Tendency
341(6)
Distributions of Data
347(14)
Scatter Plots and Lines of Fit
361(7)
Exercises
368(3)
Answer Key 371(58)
Teacher's Guide 429
Chris Monahan has more than 30 years experience teaching math at the high school and college levels. He is a National Trainer for Texas Instruments in Teaching Teachers with Technology.

Laura Favata has decades of experience as a math teacher, including Algebra I and Algebra II. She is a member of the Association of Mathematics Teachers of New York State and the National Council of Teachers of Mathematics.