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Academic Test

College Algebra

 

 

Chapter 1 - Fundamentals of Algebra

 

       Real Numbers and Arithmetic Operations

       Fractions and Absolute Values

       Unit Conversions and Percentages

       Symbols and their Meanings

       Significant Digits and Scientific Notation

       Rules for Rounding Off Numbers

       Radicals and Exponents

       Addition, Subtraction, Multiplication, and Division of Algebraic Equations

       Techniques for Factoring Algebraic Expressions

       Linear Equations in one Unknown

       Complex Numbers

 

 

Chapter 2 - Equations, Inequalities and Functions

 

       Definitions and Formulas

       Linear Equations and their Solutions

       Equations of Lines and their Properties

       Linear and Nonlinear Systems of Equations

       Composite Functions, Domain and Range

       Linear Inequalities and their Solutions

       Quadratic Equations, Quadratic Functions, Properties and Solutions

       Domain and Range of Functions

       Polynomial, Rational and Linear Functions

       Graph of Functions, Techniques and Tools

 

 

Chapter 3 - Exponentials and Logarithmic Functions

 

       Exponential Functions and their Graphs

       Logarithmic Functions and their Graphs

       Inverse Functions and their Properties

       Applications of Exponential Functions in Real Life

       Solutions to Exponential and Logarithmic Equations

 

 

Chapter 4 - Sequences, Series and Conic Sections

 

       Definition of Sequences and Series

       Arithmetic and Geometric Sequences

       Binomial Expansion Formula

       Conic Sections (Parabola, Ellipse, Hyperbola)

       Counting Principle and Probability

 

 

Comprehensive Test

   

     10 Questions

     20 Questions (Solutions Available)

 

 

 

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