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MAT055 Algebra Concepts: Course Structure, Topics, and Study Guide

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The Distributive Property

  • Guided course
    The Distributive Property
    05:53
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    The Distributive Property Example 2
    02:09
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    The Distributive Property Example 1
    02:26

Simplifying Fractions

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    Types of Fractions
    05:25
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    Simplify Fractions (Write Fractions in Lowest Terms)
    06:15
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    Intro to Fractions Example 1
    03:42

Evaluating Exponents

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    Exponential Expressions with Negative Bases Example 4
    01:55
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    Intro to Exponents Example 2
    00:51
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    Intro to Exponents
    05:24

Solving Linear Equations

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    Strategy for Solving Linear Equations
    06:21
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    Solving Linear Equations with Fraction or Decimal Coefficients
    06:25
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    Solving Linear Equations with Fraction or Decimal Coefficients Example 2
    05:27

Linear Inequalities in One Variable

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    Solving Linear Inequalities
    05:29
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    Solving Linear Inequalities Example 3
    02:46
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    Solving Three Part Inequalities
    05:13

Formulas

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    Solve Applied Problems Using Formulas
    04:45
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    Solve a Formula for a Specific Variable
    04:10
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    Solve a Formula for a Specific Variable Example 2
    03:00

Percent Problem Solving

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    Simple Interest Example 5
    01:45
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    Translating Percent Problems Example 3
    03:09
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    Translating Percent Problems Example 2
    00:44

The Rectangular Coordinate System

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    Completing Ordered Pair Solutions
    05:09
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    Determining Whether an Ordered Pair is a Solution to an Equation
    05:09
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    Graphs & the Rectangular Coordinate System
    05:10

Graph Linear Equations in Two Variables

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    Graphing Linear Equations in Two Variables Example 2
    02:35
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    Graphing Linear Equations in Two Variables Example 1
    03:07
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    Graphing Linear Equations in Two Variables
    05:51

Graph Linear Equations Using Intercepts

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    Graphing Using Intercepts
    04:43
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    Graphing Using Intercepts Example 3
    04:47
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    Identifying x & y Intercepts Example 1
    01:09

Slope of a Line

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    Graphing a Line From Its Slope Example 4
    03:41
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    Finding the Slope of a Line Example 2
    03:03
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    Finding the Slope of a Line
    05:13

Slope-Intercept Form

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    Graphing Lines in Slope-Intercept Form
    02:35
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    Parallel and Perpendicular Lines Example 3
    03:32
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    Graphing in Slope-Intercept Form Example 2
    05:57

Point Slope Form

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    Finding the Equation of a Line Given 2 Points Example 2
    05:26
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    Point Slope Form of a Line Example 1
    03:29
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    Point Slope Form of a Line
    05:41

Intro to the Power Rules

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    Power of a Product Rule
    03:41
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    The Power Rule for Exponents Example 1
    01:04
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    The Power Rule for Exponents
    03:08

Simplifying Expressions

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    Like Terms Example 1
    02:12
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    Like Terms Example 2
    01:50
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    Like Terms Example 3
    01:21

Intro to Polynomials

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    Introduction to Polynomials
    05:13
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    Degree of Polynomials
    05:20

Multiplying Polynomials

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    Multiply Polynomials Using the Distributive Property Example 2
    02:47
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    Multiply Polynomials by Monomials
    03:46
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    Multiply Binomials Using the FOIL Method Example 1
    01:34

Factoring by Greatest Common Factor & Grouping

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    GCF of Terms
    05:42
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    Factoring Polynomials by Grouping Example 4
    02:47
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    Factoring Polynomials by Grouping Example 5
    03:44

Factoring Trinomials of the Form x² + bx + c

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    Factoring Trinomials of the Form x² + bx + c Example 1
    02:03
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    Factoring Trinomials of the Form x² + bx + c
    07:23

Factoring Trinomials of the Form ax² + bx + c

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    Factoring Trinomials by Grouping (AC Method)
    04:23
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    Factoring Trinomials Using Trial and Error
    08:18
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    Factoring Trinomials Using Trial and Error Example 2
    03:07

Factoring Special Products

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    Difference of Squares Example 3
    01:17
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    Difference of Squares
    04:13
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    Sum & Difference of Cubes Example 6
    02:49

Quadratic Equations & Applications

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    Solving Quadratic Equations by Factoring
    04:41
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    Applications of Quadratic Equations Example 2
    02:49
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    Applications of Quadratic Equations Example 6
    01:41

Simplifying Rational Expressions

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    Simplifying Rational Expressions Example 2
    03:24
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    Intro To Rational Expressions
    04:37
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    Simplifying Rational Expressions
    04:13

Introduction to Relations and Functions

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    Determining if a Relation is a Function Given an Equation Example 3
    05:13
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    Determining if a Relation is a Function Given an Equation
    06:28
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    Domain and Range Example 4
    02:49

Function Notation

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    Function Notation
    05:50
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    Function Notation Example 1
    02:46
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    Function Notation Example 2
    04:20

Solving Systems of Linear Equations by Graphing

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    Solve a System of Linear Equations by Graphing Example 2
    04:42
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    Solve a System of Linear Equations by Graphing Example 1
    3:09
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    Determining Number of Solutions in a System
    06:06

Solving Systems of Linear Equations by Substitution

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    Solving Systems of Linear Equations - Substitution
    5:48

Solving Systems of Linear Equations by Elimination

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    Choosing a Method to Solve a System
    06:26
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    Solving Systems of Linear Equations - Elimination Example 1
    4:32
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    Choosing a Method to Solve a System Example 4
    01:57

Set Operations and Compound Inequalities

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    Solving Compound Inequalities Containing "and"
    05:20
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    Solving Compound Inequalities Containing "or"
    04:16
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    Intersection and Union of Sets Example 2
    02:04

Linear Inequalities in Two Variables

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    Intro to Linear Inequalities in Two Variables
    05:47
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    Graphing Linear Inequalities in Two Variable
    7:02
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    Graphing Linear Inequalities in Two Variable Example 1
    3:55

Introduction to Radical Expressions

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    Finding Higher Roots: Even Roots
    04:44
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    Simplifying nth Root of nth Power
    05:20
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    Approximating Roots
    03:15

Simplifying Radical Expressions

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    Product Rule of Radicals Example 1
    01:05
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    Quotient Rule of Radicals
    05:04
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    Simplifying Radicals Example 3
    04:06

Multiplying, Dividing, and Rationalizing Radicals

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    Rationalizing Denominators Example 3
    02:34
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    Rationalizing Denominators
    02:58
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    Multiplication of Radical Expressions Example 2
    05:00