Math C045: Beginning and Intermediate Algebra

Numerical and algebraic operations, number systems, linear and quadratic equations/inequalities, exponents, polynomials, radicals, curve plotting, systems of equations/inequalities, nonlinear equations, logarithmic and exponential functions, complex numbers, and applications.

Mathematics

Tác giả: Chau D Tran
Nhà xuất bản: Coastline College
Nguồn: LibreTexts
Giấy phép: CC BY
Ngôn ngữ: EN
Danh mục: Khoa học cơ bản

Đọc trực tuyến Tải PDF (nguồn mở)

Mục lục· 208 mục

01: Foundations
1.01: Prelude to Foundations of Algebra
1.02: Introduction to Whole Numbers
1.2E: Exercises
1.03: Use the Language of Algebra
1.3E: Exercises
1.04: Add and Subtract Integers
1.4E: Exercises
1.05: Multiply and Divide Integers
1.5E: Exercises
1.06: Visualize Fractions
1.6E: Exercises
1.07: Add and Subtract Fractions
1.7E: Exercises
1.08: Decimals
1.8E: Exercises
1.09: The Real Numbers
1.9E: Exercises
1.10: Properties of Real Numbers
1.10E: Exercises
1.11: Systems of Measurement
1.11E: Exercises
1.12: Chapter 1 Review Exercises
02: Solving Linear Equations and Inequalities
2.01: Solve Equations Using the Subtraction and Addition Properties of Equality
2.1E: Exercises
2.02: Solve Equations using the Division and Multiplication Properties of Equality
2.2E: Exercises
2.03: Solve Equations with Variables and Constants on Both Sides
2.3E: Exercises
2.04: Use a General Strategy to Solve Linear Equations
2.4E: Exercises
2.05: Solve Equations with Fractions or Decimals
2.5E: Exercises
2.06: Solve a Formula for a Specific Variable
2.6E: Exercises
2.07: Solve Linear Inequalities
2.7E: Exercises
2.08: Chapter 2 Review Exercises
03: Math Models
3.01: Use a Problem-Solving Strategy
3.1E: Exercises
3.02: Solve Percent Applications
3.2E: Exercises
3.03: Solve Mixture Applications
3.3E: Exercises
3.04: Triangles Rectangles and the Pythagorean Theorem
3.4E: Exercises
3.05: Solve Uniform Motion Applications
3.5E: Exercises
3.06: Solve Applications with Linear Inequalities
3.6E: Exercises
3.07: Chapter 3 Review Exercises
04: Inequalities and Absolute Value
4.01: Solve Linear Inequalities
4.1E: Exercises
4.02: Solve Compound Inequalities
4.2E: Exercises
4.03: Solve Absolute Value Inequalities
4.3E: Exercises
4.04: Chapter 2 Review Exercises
05: Graphs and Functions
5.01: Introduction
5.02: Graph Linear Equations in Two Variables
5.2E: Exercises
5.03: Slope of a Line
5.3E: Exercises
5.04: Find the Equation of a Line
5.4E: Exercises
5.05: Graph Linear Inequalities in Two Variables
5.5E: Exercises
5.06: Relations and Functions
5.6E: Exercises
5.07: Graphs of Functions
5.7E: Exercises
5.08: Chapter 3 Review Exercises
06: Systems of Linear Equations
6.01: Introduction
6.02: Solve Systems of Linear Equations with Two Variables
6.2E: Exercises
6.03: Solve Applications with Systems of Equations
6.3E: Exercises
6.04: Solve Mixture Applications with Systems of Equations
6.4E: Exercises
6.05: Solve Systems of Equations with Three Variables
6.5E: Exercises
6.06: Solve Systems of Equations Using Matrices
6.6E: Exercises
6.07: Solve Systems of Equations Using Determinants
6.7E: Exercises
6.08: Graphing Systems of Linear Inequalities
6.8E: Exercises
6.09: Chapter 4 Review Exercises
07: Polynomial and Polynomial Functions
7.01: Prelude to Polynomial and Polynomial Functions
7.02: Add and Subtract Polynomials
7.2E: Exercises
7.03: Properties of Exponents and Scientific Notation
7.3E: Exercises
7.04: Multiply Polynomials
7.4E: Exercises
7.05: Dividing Polynomials
7.5E: Exercises
7.06: Chapter 5 Review Exercises
08: Factoring
8.01: Prelude to Factoring
8.02: Greatest Common Factor and Factor by Grouping
8.2E: Exercises
8.03: Factor Trinomials
8.3E: Exercises
8.04: Factor Special Products
8.4E: Exercises
8.05: General Strategy for Factoring Polynomials
8.5E: Exercises
8.06: Polynomial Equations
8.6E: Exercises
8.07: Chapter 6 Review Exercises
09: Rational Expressions and Functions
9.01: Rational Expressions and Functions
9.02: Multiply and Divide Rational Expressions
9.2E: Exercises
9.03: Add and Subtract Rational Expressions
9.3E: Exercises
9.04: Simplify Complex Rational Expressions
9.4E: Exercises
9.05: Solve Rational Equations
9.5E: Exercises
9.06: Solve Applications with Rational Equations
9.6E: Exercises
9.07: Solve Rational Inequalities
9.7E: Exercises
9.E: Chapter 7 Review Exercises
10: Roots and Radicals
10.01: Prelude to Roots and Radicals
10.02: Simplify Expressions with Roots
10.2E: Exercises
10.03: Simplify Radical Expressions
10.3E: Exercises
10.04: Simplify Rational Exponents
10.4E: Exercises
10.05: Add Subtract and Multiply Radical Expressions
10.5E: Exercises
10.06: Divide Radical Expressions
10.6E: Exercises
10.07: Solve Radical Equations
10.7E: Exercises
10.08: Use Radicals in Functions
10.8E: Exercises
10.09: Use the Complex Number System
10.9E: Exercises
10.10: Chapter 8 Review Exercises
11: Quadratic Equations and Functions
11.01: Prelude to Quadratic Equations and Functions
11.02: Solve Quadratic Equations Using the Square Root Property
11.2E: Exercises
11.03: Solve Quadratic Equations by Completing the Square
11.3E: Exercises
11.04: Solve Quadratic Equations Using the Quadratic Formula
11.4E: Exercises
11.05: Solve Quadratic Equations in Quadratic Form
11.5E: Exercises
11.06: Solve Applications of Quadratic Equations
11.6E: Exercises
11.07: Graph Quadratic Functions Using Properties
11.7E: Graph Quadratic Functions Using Properties (Exercises)
11.08: Graph Quadratic Functions Using Transformations
11.8E: Exercises
11.09: Solve Quadratic Inequalities
11.9E: Exercises
11.10: Chapter 9 Review Exercises
12: Exponential and Logarithmic Functions
12.01: Prelude to Exponential and Logarithmic Functions
12.02: Finding Composite and Inverse Functions
12.2E: Exercises
12.03: Evaluate and Graph Exponential Functions
12.3E: Exercises
12.04: Evaluate and Graph Logarithmic Functions
12.4E: Exercises
12.05: Use the Properties of Logarithms
12.5E: Exercises
12.06: Solve Exponential and Logarithmic Equations
12.6E: Exercises
12.07: Chapter 10 Review Exercises
13: Conics
13.01: Prelude to Conics
13.02: Distance and Midpoint Formulas and Circles
13.2E: Exercises
13.03: Parabolas
13.3E: Exercises
13.04: Ellipses
13.4E: Exercises
13.05: Hyperbolas
13.5E: Exercises
13.06: Solving Systems of Nonlinear Equations
13.6E: Exercises
13.07: Chapter 11 Review Exercises
14: Sequences Series and Binomial Theorem
14.01: Prelude to Sequences Series and Binomial Theorem
14.02: Sequences
14.2E: Exercises
14.03: Arithmetic Sequences
14.3E: Exercises
14.04: Geometric Sequences and Series
14.4E: Exercises
14.05: Binomial Theorem
14.5E: Exercises
14.06: Chapter 12 Review Exercises
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