College Algebra Textbook, Test Bank

College Algebra TextBook by OpenStax plus MCQ, Essay Questions & Key Terms

College Algebra provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra course. The modular approach and richness of content ensure that the book meets the needs of a variety of courses. College Algebra offers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they’ve learned.

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1. Prerequisites

Introduction to Prerequisites

1.1. Real Numbers: Algebra Essentials

1.2. Exponents and Scientific Notation

1.3. Radicals and Rational Exponents

1.4. Polynomials

1.5. Factoring Polynomials

1.6. Rational Expressions

2. Equations and Inequalities

Introduction to Equations and Inequalities

2.1. The Rectangular Coordinate Systems and Graphs

2.2. Linear Equations in One Variable

2.3. Models and Applications

2.4. Complex Numbers

2.5. Quadratic Equations

2.6. Other Types of Equations

2.7. Linear Inequalities and Absolute Value Inequalities

3. Functions

Introduction to Functions

3.1. Functions and Function Notation

3.2. Domain and Range

3.3. Rates of Change and Behavior of Graphs

3.4. Composition of Functions

3.5. Transformation of Functions

3.6. Absolute Value Functions

3.7. Inverse Functions

4. Linear Functions

Introduction to Linear Functions

4.1. Linear Functions

4.2. Modeling with Linear Functions

4.3. Fitting Linear Models to Data

5. Polynomial and Rational Functions

Introduction to Polynomial and Rational Functions

5.1. Quadratic Functions

5.2. Power Functions and Polynomial Functions

5.3. Graphs of Polynomial Functions

5.4. Dividing Polynomials

5.5. Zeros of Polynomial Functions

5.6. Rational Functions

5.7. Inverses and Radical Functions

5.8. Modeling Using Variation

6. Exponential and Logarithmic Functions

Introduction to Exponential and Logarithmic Functions

6.1. Exponential Functions

6.2. Graphs of Exponential Functions

6.3. Logarithmic Functions

6.4. Graphs of Logarithmic Functions

6.5. Logarithmic Properties

6.6. Exponential and Logarithmic Equations

6.7. Exponential and Logarithmic Models

6.8. Fitting Exponential Models to Data

7. Systems of Equations and Inequalities

Introduction to Systems of Equations and Inequalities

7.1. Systems of Linear Equations: Two Variables

7.2. Systems of Linear Equations: Three Variables

7.3. Systems of Nonlinear Equations and Inequalities: Two Variables

7.4. Partial Fractions

7.5. Matrices and Matrix Operations

7.6. Solving Systems with Gaussian Elimination

7.7. Solving Systems with Inverses

7.8. Solving Systems with Cramer's Rule

8. Analytic Geometry

Introduction to Analytic Geometry

8.1. The Ellipse

8.2. The Hyperbola

8.3. The Parabola

8.4. Rotation of Axes

8.5. Conic Sections in Polar Coordinates

9. Sequences, Probability, and Counting Theory

Introduction to Sequences, Probability and Counting Theory

9.1. Sequences and Their Notations

9.2. Arithmetic Sequences

9.3. Geometric Sequences

9.4. Series and Their Notations

9.5. Counting Principles

9.6. Binomial Theorem

9.7. Probability

Kuliah Aljabar buku oleh OpenStax ditambah MCQ, Essay Pertanyaan & Syarat Key

Kuliah Aljabar menyediakan eksplorasi komprehensif prinsip-prinsip aljabar dan memenuhi ruang lingkup dan urutan persyaratan untuk kursus aljabar khas pengantar. Pendekatan modular dan kekayaan konten memastikan bahwa buku ini memenuhi kebutuhan berbagai kursus. Kuliah Aljabar menawarkan kekayaan contoh dengan rinci, penjelasan konseptual, membangun fondasi yang kuat dalam materi sebelum meminta siswa untuk menerapkan apa yang telah mereka pelajari.

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1. Prasyarat

Pengantar Prasyarat

1.1. Bilangan nyata: Aljabar Essentials

1.2. Eksponen dan Notasi Ilmiah

1.3. Radikal dan Eksponen Rasional

1.4. polinomial

1.5. polinomial anjak

1.6. Ekspresi rasional

2. Persamaan dan Pertidaksamaan

Pengantar Persamaan dan Pertidaksamaan

2.1. Rectangular Sistem Koordinat dan Grafik

2.2. Persamaan Linear dalam Satu Variabel

2.3. Model dan Aplikasi

2.4. Bilangan kompleks

2.5. Persamaan kuadrat

2.6. Jenis lain dari Persamaan

2.7. Linear Ketidaksetaraan dan Absolut Ketimpangan

3. Fungsi

Pengantar Fungsi

3.1. Fungsi dan Fungsi Notasi

3.2. Domain dan Rentang

3.3. Tarif Perubahan dan Perilaku Grafik

3.4. Komposisi Fungsi

3.5. Transformasi Fungsi

3.6. Fungsi Nilai mutlak

3.7. Fungsi invers

4. Fungsi Linear

Pengantar Fungsi Linear

4.1. Fungsi linier

4.2. Pemodelan dengan Fungsi Linear

4.3. Pas Model Linear Data

5. Fungsi Polinomial dan Rasional

Pengantar Polinomial dan Fungsi Rasional

5.1. Fungsi kuadrat

5.2. Fungsi Power dan Fungsi Polinomial

5.3. Grafik dari Fungsi Polinomial

5.4. membagi polinomial

5.5. Zero Fungsi Polinomial

5.6. Fungsi rasional

5.7. Invers dan Fungsi Radikal

5.8. Pemodelan Menggunakan Variasi

6. Fungsi eksponensial dan Logaritma

Pengantar eksponensial dan Fungsi Logaritma

6.1. Fungsi eksponensial

6.2. Grafik dari Fungsi eksponensial

6.3. Fungsi logaritma

6.4. Grafik dari Fungsi Logaritma

6.5. Properti logaritmik

6.6. Persamaan eksponensial dan Logaritma

6.7. Model eksponensial dan Logaritma

6.8. Pas Model eksponensial Data

7. Sistem Persamaan dan Pertidaksamaan

Pengenalan Sistem Persamaan dan Pertidaksamaan

7.1. Sistem Persamaan Linear: Dua Variabel

7.2. Sistem Persamaan Linear: Tiga Variabel

7.3. Sistem Nonlinear Persamaan dan kesenjangan: Dua Variabel

7.4. Pecahan parsial

7.5. Matriks dan Matrix Operasi

7.6. Memecahkan Sistem dengan Eliminasi Gauss

7.7. Memecahkan Sistem dengan invers

7.8. Memecahkan Sistem dengan Peraturan Cramer

8. Analytic Geometry

Pengantar Analytic Geometry

8.1. Ellipse

8.2. hiperbola

8.3. The Parabola

8.4. Rotasi Axes

8.5. Bagian berbentuk kerucut di Polar Coordinates

9. Urutan, Probabilitas, dan Teori Menghitung

Pengantar Urutan, Probabilitas dan Menghitung Teori

9.1. Urutan dan Notasi mereka

9.2. aritmatika Urutan

9.3. Urutan geometris

9.4. Seri dan Notasi mereka

9.5. menghitung Prinsip

9.6. Teorema binomial

9.7. Kemungkinan