Book cover for Algebra 2

Algebra 2

Holliday, Luchin, Cuevas, Carter Marks, Day, Casey, Hayek

ISBN #9780078738302

1st Edition

6,403 Questions

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269,163 Students Helped

Homework Questions

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Summary

Algebra 2 is a comprehensive textbook that builds on essential algebraic principles by guiding students from foundational first-degree equations and inequalities to more complex topics such as systems of equations, matrix operations, and quadratic and radical equations. It emphasizes the application of mathematical techniques like substitution, elimination, and graphing to translate real-world problems into solvable algebraic models. The book further explores vital areas including exponential-logarithmic functions, conic sections, probability, statistics, and trigonometry, equipping learners with diverse analytical tools. Additionally, a dedicated focus on trigonometric graphs and identities ensures that students understand how parameters like amplitude, period, and phase shift govern periodic phenomena, reinforcing the text's broad utility in both academic and practical contexts.

Chapters & Topics Covered

Chapter 1

Equations and Inequalities

Chapter 2

Linear Relations and Functions

Chapter 3

Systems of Equations and Inequalities

Chapter 4

Matrices

Chapter 5

Quadratic Functions and Inequalities

Chapter 6

Polynomial Functions

Chapter 7

Radical Equations and Inequalities

Chapter 8

Rational Expressions and Equations

Chapter 9

Exponential and Logarithmic Relations

Chapter 10

Conic Sections

Chapter 11

Sequences and Series

Chapter 12

Probability and Statistics

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Chapter 13

Trigonometric Functions

Chapter 14

Trigonometric Graphs and Identities

Popular Video Solutions

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Problem 1

Graph each system of inequalities. Name the coordinates of the vertices of the feasible region. Find the maximum and minimum values of the given function for this region. $$ \begin{array}{l}{y \geq 2} \\ {x \geq 1} \\ {x+2 y \leq 9} \\ {f(x, y)=2 x-3 y}\end{array} $$

Shawn Gedert

Shawn Gedert   Numerade Educator

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Problem 2

Write an equation for the hyperbola shown at right.

Charles Carter

Charles Carter   Numerade Educator

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Problem 3

What is the probability that a randomly selected student spends more than 3 hours per day on homework?

Tara Palmer

Tara Palmer   Numerade Educator

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Problem 4

If $y$ varies directly as $x$ and $y=18$ when $x=15,$ find $y$ when $x=20$

Brandi Roebuck

Brandi Roebuck   Numerade Educator

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Problem 5

POLICE Police use blood alcohol content (BAC) to measure the percent concentration of alcohol in a person's bloodstream. In most states, a BAC of 0.08 percent means a person is not allowed to drive. Each hour after drinking, a person's BAC may decrease by 15$\% .$ If a person has a BAC of 0.18 , how many hours will he need to wait until he can legally drive?

Joshua Eastwood

Joshua Eastwood   Numerade Educator

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Problem 6

State the degree and leading coefficient of each polynomial in one variable. If it is not a polynomial in one variable, explain why. $5 x^{6}-8 x^{2}$

Heather Zimmers

Heather Zimmers   Numerade Educator

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