Book cover for College Algebra Essentials

College Algebra Essentials

Julie Miller

ISBN #9780078035616

1st Edition

4,122 Questions

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31,015 Students Helped

Homework Questions

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Summary

College Algebra Essentials is a comprehensive guide that begins with a solid review of mathematical prerequisites, ensuring students are equipped with fundamental skills in sets, number types, and algebraic notation before diving into more complex topics. The book systematically develops concepts in equations and inequalities, functions and graphs, and extends into polynomial, rational, exponential, and logarithmic functions with clear explanations and practical procedures. It also addresses the solution of systems of equations and inequalities by applying methods like substitution, elimination, and graphing techniques, emphasizing real-world applications such as optimization and modeling scenarios. Overall, the text is designed to build strong algebraic reasoning and problem-solving skills, making it an essential resource for advancing in both theoretical and applied mathematics.

Chapters & Topics Covered

Chapter 0

Review of Prerequisites

Chapter 1

Equations and Inequalities

Chapter 2

Functions and Graphs

Chapter 3

Polynomial and Rational Functions

Chapter 4

Exponential and Logarithmic Functions

Chapter 5

Systems of Equations and Inequalities

Popular Video Solutions

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Problem 1

A _____ is a collection of items called elements.

Destin Priester

Destin Priester   Numerade Educator

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Problem 2

An equation that can be written in the form $a x+b=0$ where $a$ and $b$ are real numbers and $a \neq 0$ is called a _____ equation in one variable.

Chris Wojturski

Chris Wojturski   Numerade Educator

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Problem 3

The vertical line drawn through the vertex of a quadratic function is called the ______ of symmetry.

Kian Manafi

Kian Manafi   Numerade Educator

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Problem 4

Given the function $f=\{(1,2),(2,3),(3,4)\}$ write the set of ordered pairs representing $f^{-1}$.

James Kiss

James Kiss   Numerade Educator

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Problem 5

A function defined by $f(x)=a x^{2}+b x+c(a \neq 0)$ is called a _____ function.

Kian Manafi

Kian Manafi   Numerade Educator

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Problem 6

Write each phrase as an algebraic expression. Use $x$ as the variable unless otherwise indicated. Two less than five times a number

Amber Leann

Amber Leann   Numerade Educator

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