Book cover for Beginning and Intermediate Algebra

Beginning and Intermediate Algebra

Margaret L. Lial, John Hornsby, Terry McGinnis

ISBN #9780134895994

7th Edition

7,825 Questions

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32,627 Students Helped

Homework Questions

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Summary

Beginning and Intermediate Algebra is a comprehensive textbook that builds solid mathematical foundations, starting with a review of prealgebra concepts and progressing systematically through the intricacies of advanced algebra. Its main themes include the exploration and mastery of numerical systems, equations, inequalities, and a wide array of functions, with each chapter reinforcing both theoretical understanding and practical applications. The book’s structure acts as a guiding progression—each section, like the clear roles of characters in a narrative, introduces key operations and problem-solving techniques that evolve in complexity, paralleling the development of a student's mathematical reasoning. By bridging abstract concepts with real-world applications, the text empowers learners to seamlessly transition from basic arithmetic to advanced topics crucial for further studies in mathematics and related fields.

Chapters & Topics Covered

Chapter 0

Prealgebra Review

Chapter 1

The Real Number System

Chapter 2

Linear Equations and Inequalities in One Variable

Chapter 3

Linear Equations in Two Variables

Chapter 4

Exponents and Polynomials

Chapter 5

Factoring and Applications

Chapter 6

Rational Expressions and Applications

Chapter 7

Linear Equations, Graphs, and Systems

Chapter 8

Inequalities and Absolute Value

Chapter 9

Relations and Functions

Chapter 10

Roots, Radicals, and Root Functions

Chapter 11

Quadratic Equations, Inequalities, and Functions

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Chapter 12

Inverse, Exponential, and Logarithmic Functions

Chapter 13

Nonlinear Functions, Conic Sections, and Nonlinear Systems

Chapter 14

Further Topics in Algebra

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Problem 1

In the decimal number $367.9412,$ name the digit that has each place value. (a) tens (b) tenths (c) thousandths (d) ones or units (e) hundredths

Pronoy Sinha

Pronoy Sinha   Numerade Educator

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Problem 2

If a migrating hawk travels $m$ mph in still air, what is its rate when it flies into a steady headwind of $5 \mathrm{mph} ?$ What is its rate with a tailwind of $5 \mathrm{mph} ?$

Rylie Howey

Rylie Howey   Numerade Educator

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Problem 3

Complete each statement with the correct response. The following terms may be used once, more than once, or not at all. $\begin{array}{lll}\text { linear } & \text { expression } & \text { solution set } & \text { multiplication }\end{array}$ equation addition $\quad$ equivalent equations $\quad$ variable $\mathrm{A}(\mathrm{n})$ ________________ includes an equality symbol, while a(n) ______________ does not.

Christopher Stanley

Christopher Stanley   Numerade Educator

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Problem 4

Complete each statement. The symbol $(x, y)$ (does/does not) represent an ordered pair, while the symbols $[x, y]$ and $\{x, y\}$ (do/do not) represent ordered pairs.

Rylie Howey

Rylie Howey   Numerade Educator

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Problem 5

Complete each statement. Choices may be used more than once. function independent variable vertical line test relation domain ordered pairs dependent variable range $\mathrm{A}(\mathrm{n})$ __________ is any set of __________$\{(x, y)\}$

Nick Johnson

Nick Johnson   Numerade Educator

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Problem 6

Decide whether each statement is true $o r$ false. If it is false, explain why. $$ 3^{2}=6 $$

Leslie Deeb

Leslie Deeb   Numerade Educator

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