College AlgebraCourse InstructionsPlease read the instructions given below related to Course"College Algebra"There are 5 sections in this course. All sections are mandatory.In Section 1 of this course you will cover these topics:Fundamental Concepts Of Algebra 1Fundamental Concepts Of Algebra 2In Section 2 of this course you will cover these topics:Graphs And Graphing UtilitiesFunctions And GraphsIn Section 3 of this course you will cover these topics:Polynomial And Rational FunctionsExponential And Logarithmic FunctionsIn Section 4 of this course you will cover these topics:Systems Of Equations And InequalitiesMatrices And DeterminantsIn Section 5 of this course you will cover these topics:Conic SectionsSequences, Induction, And Probability2 of 458
College Algebra > Section 1Section 1- InstructionsIn Section 1 of this course you will cover these topics:Fundamental Concepts Of Algebra 1Fundamental Concepts Of Algebra 2You may take as much time as you want to complete the topic coverd in section 1.There is no time limit to finish any Section, However you must finish All Sections before semester end date.3 of 458
College Algebra > Section 1 > Topic 1Topic 1: Fundamental Concepts Of Algebra 1Topic Objective:At the end of this topic, students will be able to understand:1.Algebraic Expressions2.Formulas and Mathematical Models3.Sets4.Properties of Real Numbers and Algebraic Expressions5.Simplifying Algebraic Expressions6.Exponents and Scientific Notation7.Radicals and Rational Exponents8.PolynomialsTopic Introduction:Algebra uses letters, such as xand yto represent numbers. If a letter is used to represent various numbers, it iscalled a variable.Topic Overview:1. Algebraic ExpressionsFor example, imagine that you are basking in the sun on the beach. We can let xrepresent the number ofminutes that you can stay in the sun without burning with no sunscreen. With a number 6 sunscreen,exposure time without burning is six times as long, or 6 times x. This can be written 6 ·xbut it is usuallyexpressed as 6x.Placing a number and a letter next to one another indicates multiplication.Notice that 6xcombines the number 6 and the variable using the operation of multiplication. Acombination of variables and numbers using the operations of addition, subtraction, multiplication, ordivision, as well as powers or roots, is called an algebraic expression. Here are some examples ofalgebraic expressions:Many algebraic expressions involve exponents. For example, the algebraic Expression17x2+ 261x= 3257approximates the average cost of tuition and fees at public U.S. colleges for the school year ending yearsxafter 2000. The expression x2 means x· x, and is read “xto the second power” or “xsquared.” Theexponent, 2, indicates that the base, x, appears as a factor two times.