Book cover for Introductory and Intermediate Algebra for College Students

Introductory and Intermediate Algebra for College Students

Robert Blitzer

ISBN #9780134178141

6th Edition

6,809 Questions

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157,161 Students Helped

Homework Questions

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Summary

Introductory and Intermediate Algebra for College Students is a comprehensive guide that builds a solid foundation in algebra through a sequence of progressively challenging topics. The book begins with the essentials of algebraic language, expressions, and problem-solving strategies before advancing to functions, systems of equations, inequalities, and polynomial manipulations. As the text unfolds, students explore diverse subjects such as radical expressions, quadratic equations, exponential and logarithmic functions, and the geometry of conic sections, which all serve as the building blocks for understanding more sophisticated mathematical models. Throughout, the book emphasizes real-world applications—from financial modeling to scientific analysis—making it an essential resource for developing analytical skills that extend well beyond the classroom.

Chapters & Topics Covered

Chapter 1

Algebra, Mathematical Models, and Problem Solving

Chapter 2

Functions and Linear Functions

Chapter 3

Systems of Linear Equations

Chapter 4

Inequalities and Problem Solving

Chapter 5

Polynomials, Polynomial Functions, and Factoring

Chapter 6

Rational Expressions, Functions, and Equations

Chapter 7

Radicals, Radical Functions, and Rational Exponents

Chapter 8

Quadratic Equations and Functions

Chapter 9

Exponential and Logarithmic Functions

Chapter 10

Conic Sections and Systems of Nonlinear Equations

Chapter 11

Sequences, Series, and the Binomial Theorem

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Problem 1

In Exercises $1-14,$ write each English phrase as an algebraic expression. Let $x$ represent the number. $$ \text { Five more than a number } $$

Sneha Ravi

Sneha Ravi   Numerade Educator

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Problem 2

Write each equation in its equivalent exponential form. $$4=\log _{2} 16$$

Carson Merrill

Carson Merrill   Numerade Educator

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Problem 3

The exponential models describe the population of the indicated country, A, in millions, t years after 2006. $$\begin{array}{|l|l|} \hline \text { India } & A=1095.4 e^{0.014} \\ \hline \text { Ina } & A=26.8 e^{0.027} \\ \hline \text { Japan } & A=127.5 e^{0.001 t} \\ \hline \text { Russia } & A=142.9 e^{-0.004 r} \\ \hline \end{array}$$ What was the population of Japan in $2006 ?$

Ryan Mcalister

Ryan Mcalister   Numerade Educator

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Problem 4

Find the distance between each pair of points. If necessary, express answers in simplified radical form and then round to two decimal places. $(2,3) and (14,8)$

Heather Zimmers

Heather Zimmers   Numerade Educator

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Problem 5

Determine the coefficient of each term, the degree of each term, the degree of the polynomial, the leading term, and the leading coefficient of the polynomial. $$ -x^{4}+x^{2} $$

Pammi Eswari

Pammi Eswari   Numerade Educator

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Problem 6

Write each English phrase as an algebraic expression. Let $x$ represent the number. $$ \text { A number increased by six } $$

Sneha Ravi

Sneha Ravi   Numerade Educator

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