College Algebra Explained
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# College Algebra Explained

Master College Level Algebra with our Step by Step Video Tutorials. Over 2500 Practice Questions! Ace your Algebra Exam!
0.0 (0 ratings)
34 students enrolled
Created by John Greene, M.A.
Last updated 7/2020
English
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Current price: \$38.99 Original price: \$59.99 Discount: 35% off
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This course includes
• 50 hours on-demand video
• 147 articles
• Access on mobile and TV
• Certificate of Completion
Training 5 or more people?

What you'll learn
• Review of Basic Concepts: Real Numbers, Order of Operations, Number Line, Absolute Value
• Review of Polynomials: Adding, Subtracting, Multiplying, Dividing, Synthetic Division, Factoring
• Review of Rational Expressions: Lowest Terms, Undefined, Addition, Subtraction, Multiplication, Division, Complex Fractions
• Solving Linear Equations and Inequalities
• Solving Application of Linear Equations Problems (Word Problems)
• Solving Absolute Value Equations and Inequalities
• Working with Complex Numbers
• Solving Quadratic Equations and Inequalities
• Solving Applications of Quadratic Equations (Word Problems)
• Solving Rational Equations and Inequalities
• Solving Radical Equations and Inequalities
• The Rectangular Coordinate Plane
• The Complex Coordinate Plane
• Distance and Midpoint Formulas
• Relations and Functions
• Domain and Range
• Function Notation, Function Composition, Operations on Functions
• Graphing Linear Equations
• Linear Equations, Finding the Slope of a Line and Equations of Lines
• Graphing Circles
• Graphing Elementary Functions
• Graphing Transformations
• Solving Systems of Linear Equations in Two Variables
• Solving Systems of Linear Equations in Three Variables
• Solving Word Problems with Linear Systems
• Using Curve Fitting to Find an Equation Through Three Points
• Solving Linear Systems using Gaussian Elimination and Gauss-Jordan Elimination
• Matrix Algebra
• Solving Matrix Equations
• Multiplying a Matrix by a Scalar
• Multiplying Matrices
• Finding the Inverse of a Matrix
• Solving Linear Systems using Matrix Inverses
• Determine if functions are one-to-one using the horizontal line test
• Determine if functions are one-to-one algebraically
• Find the Inverse of a One-to-One Function
• Find the Inverse of a Domain Restricted One-to-One Function
• Graphing the Inverse of a Function
• Graphing an Exponential Function
• Solving Exponential Equations with Like Bases
• Solving Compound Interest Word Problems
• Graphing Logarithmic Functions
• Properties of Logarithms | Condensing Logarithms | Expanding Logarithms
• Change of Base Rule for Logarithms
• Solving Exponential and Logarthimic Equations
• Finding the Vertex Form of a Parabola
• How to Graph a Parabola
• Remainder Theorem
• Using the Remainder Theorem to Test Zeros for a Polynomial Function
• The Factor Theorem
• Using the Factor Theorem to Factor a Polynomial Function Given One Zero
• The Rational Zeros Theorem
• The Fundamental Theorem of Algebra
• The Number of Zeros Theorem
• Writing Polynomial Equations Given Zeros and a Point
• Conjugate Zeros Theorem
• Descartes' Rule of Signs
• Intermediate Value Theorem
• Boundedness Theorem
• Finding the upper and lower bounds for the real zeros of a polynomial function
Requirements
• Basic Arithmetic (Addition, Subtraction, Multiplication, Division)
• Pre-Algebra (Must Have)
• Basic Algebra (Algebra 1) (Must Have)
• Intermediate Algebra (Algebra 2) (Highly Suggested)
Description

Become a Master of  College Algebra and Ace your next Exam! In this course, you will master the concepts of  College Algebra with our step by step video tutorials and test your knowledge with over 2500 Practice Test Questions. The concepts you will learn are fundamental to success in higher math classes such as Trigonometry and Calculus. The topics of the course include:

• Review of Real Numbers

• Operations with Polynomials

• Factoring Polynomials

• Rational Expressions

• Rational Exponents

• Solving Linear Equations/Inequalities

• Solving Word Problems with Linear Equations

• Complex Numbers

• Solving Word Problems with Quadratic Equations

• Solving Advanced Absolute Value Equations/Inequalities

• The Coordinate Plane

• Graphing Circles

• Distance and Midpoint Formulas

• Relations and Functions

• Domain and Range

• Vertical Line Test

• Increasing, Decreasing, Constant Intervals

• Graphing Linear Functions

• Slope

• Forms of a Line

• Graphs of Basic Equations (Parent Functions)

• Graphing Transformations

• Function Operations

• The Difference Quotient

• Composition of Functions

• Solving Linear Systems in Two/Three Variables

• Solving Systems of Linear Inequalities in Two Variables

• Solving Word Problems with Linear Systems

• Curve Fitting, Finding the Equation of a Parabola Given Three Points

• Solving Linear Systems using Gaussian Elimination and Gauss-Jordan Elimination

• Matrix Algebra (Adding Matrices, Multiplying Matrices, Solving Matrix Equations)

• Finding the Inverse of a Matrix

• Solving Linear Systems using the Inverse of a Matrix

• Finding the Determinant of a Matrix

• Finding the Inverse of a Matrix Using Cofactors

• Solving Linear Systems using Cramer's Rule

• Applications of determinants: Area of a Triangle, test for collinearity, equation of a line

• Determine if functions are one-to-one using the Horizontal line test/algebraic methods

• Finding the Inverse of a One-to-One Function

• Finding the Inverse of a Domain Restricted Function

• Graphing the Inverse of a Function

• Graphing Exponential Functions

• Solving Exponential Equations with Like Bases

• Solving Compound Interest Word Problems

• Solving Continuous Compound Interest Word Problems

• Graphing Logarithmic Functions

• Properties of Logarithms

• Expanding Logarithms

• Condensing Logarithms

• Change of Base Rule for Logarithms

• Solving Exponential and Logarithmic Equations

• Finding the Vertex Form of a Parabola

• How to Graph a Parabola

• The Remainder Theorem

• Using the Remainder Theorem to test for Zeros of a Polynomial Function

• The Factor Theorem

• Using the Factor Theorem to factor a polynomial function given one zero

• Using the Rational Zeros Theorem to find all possible rational zeros

• The Fundamental Theorem of Algebra and the Number of Zeros Theorem

• Writing Polynomial Functions Given Zeros and a Point

• Conjugate Zeros Theorem

• Descartes' Rule of Signs

• Intermediate Value Theorem

• Boundedness Theorem

• Find the upper and lower bounds for zeros of a polynomial function

Who this course is for:
• Students who need a complete understanding of Advanced Algebra
• Students currently enrolled in a College Level Algebra Course
• Students currently enrolled in a Pre-Calculus Course
• Students who need to master Algebra in order to fully prepare for Calculus
Course content
Expand all 294 lectures 50:14:11
+ Review of Basic Concepts
12 lectures 01:56:37

In this lesson, we will review how to classify real numbers as natural numbers, whole numbers, integers, rational numbers, or irrational numbers. We will also review the basics of inequality relationships between two numbers using a number line.

Preview 18:56

Practice test for classifying real numbers.

Classifying Real Numbers Practice Test
00:06

This quiz will test your knowledge of how to classify real numbers.

Classifying Real Numbers
5 questions

In this lesson, we will review the concept of an exponent. We will look at how to use exponents to write the repeated multiplication of the same number. We will explore how to work with exponents that have a negative base. Lastly, we will review the rules used to simplify an expression with more than one operation. This procedure is known formally as the order of operations.

Exponents and the Order of Operations (PEMDAS)
18:26

Practice test for exponents and the order of operations.

Exponents and the Order of Operations Practice Test
00:07

This quiz will test your knowledge of exponents and the order of operations.

Exponents and the Order of Operations (PEMDAS)
5 questions

In this lesson, we will review ratios, rates, and proportions.

Ratios, Rates, and Proportions
15:14

Practice test for ratios, rates, and proportions.

Ratios, Rates, and Proportions Practice Test
00:06

This quiz will test your knowledge of ratios and proportions.

Ratios, Rates, and Proportions
5 questions

In this lesson, we will review some basic properties of real numbers. These include:

• the commutative properties

• the associative properties

• the inverse properties

• the identity properties

• the distributive property

Properties of Real Numbers
23:59

Practice test for properties of real numbers

Properties of Real Numbers Practice Test
00:06

This quiz will test your knowledge of the properties of real numbers.

Properties of Real Numbers
5 questions

This quiz will test your understanding of how to classify numbers, the order of operations, ratios, rates, proportions and properties of real numbers.

Classifying Real Numbers, Exponents / PEMDAS, Ratios, Properties of Real Numbers
14 questions

In this lesson, we will review the concept of inequality relationships.

Inequalities, the Number Line, and Interval Notation
22:39

Practice test for inequalities, the number line, and interval notation.

Inequalities, the Number Line, and Interval Notation Practice Test
00:07

This quiz will test your knowledge of inequalities, the number line, and interval notation.

Inequalities, the Number Line, and Interval Notation
5 questions

In this lesson, we will review the concept of absolute value.

Absolute Value and the Distance Between Two Points on a Number Line
16:41

Practice test for absolute value and the distance between two points.

Absolute Value and the Distance Between Two Points Practice Test
00:07

This quiz will test your knowledge of absolute value and the distance between two points on a number line.

Absolute Value and the Distance Between Two Points on a Number Line
5 questions

This quiz will test your knowledge of inequalities and absolute value.

Order and Absolute Value
12 questions
+ Review of Polynomials
28 lectures 03:53:25

In this lesson, we review the product and power rules for exponents.

The Product and Power Rules for Exponents
16:36

Practice test for the product and power rules for exponents.

The Product and Power Rules for Exponents Practice Test
00:07

This quiz will test your ability to work with the product and power rules for exponents.

The Product and Power Rules for Exponents
5 questions

In this lesson, we will review the basic definition of a polynomial. We will learn how to identify a monomial, binomial, and trinomial. We will also learn how to find the degree of a term and the degree of a polynomial.

What is a Polynomial?
17:07

Practice test for what is a polynomial.

What is a Polynomial Practice Test
00:06

This quiz will test your understanding of the definition of a polynomial.

What is a Polynomial?
5 questions

In this lesson, we will learn how to add and subtract polynomials.

22:44

Practice test for adding and subtracting polynomials.

Adding and Subtracting Polynomials Practice Test
00:06

5 questions

In this lesson, we will learn how to multiply polynomials. We will cover how to multiply a monomial by a polynomial. We will also learn how to find the product of two binomials using FOIL. Lastly, we will learn how to multiply more complex polynomials together.

Multiplying Polynomials
13:56

Practice test for multiplying polynomials.

Multiplying Polynomials Practice Test
00:06

This quiz will test your ability to multiply polynomials.

Multiplying Polynomials
5 questions

In this lesson, we will learn how to find frequently occurring polynomial products using special products formulas.

Special Polynomial Products
14:20

Practice test for special polynomial products.

Special Polynomial Products Practice Test
00:06

This quiz will test your ability to find commonly occuring binomial products, more often called "special products".

Special Polynomial Products
5 questions

In this lesson, we will learn how to divide polynomials.

Dividing Polynomials
22:28

Practice test for dividing polynomials.

Dividing Polynomials Practice Test
00:06

This quiz will test your ability to divide polynomials using long division.

Dividing Polynomials
5 questions

In this lesson, we learn how to divide polynomials using synthetic division.

Synthetic Division
13:07

Practice test for synthetic division

Synthetic Division Practice Test
00:06

This quiz will test your ability to divide polynomials using synthetic division.

Synthetic Division
5 questions

This quiz will test your knowledge of how to perform operations with polynomials.

Operations with Polynomials (Addition, Subtraction, Multiplication, Division)
12 questions

In this lesson, we will learn how to identify the GCF or greatest common factor for a group of monomial terms. We will then learn how to factor out the GCF from a polynomial.

Factoring Out the Greatest Common Factor (GCF)
15:12

Practice test for factoring out the greatest common factor.

Factoring Out the Greatest Common Factor Practice Test
00:07

This quiz will test your ability to find and factor out the GCF (Greatest Common Factor) from a polynomial.

Factoring Out the Greatest Common Factor (GCF)
5 questions

In this lesson, we will learn how to factor a four-term polynomial using the grouping method.

Factoring by Grouping
15:42

Practice test for factoring by grouping.

Factoring by Grouping Practice Test
00:06

This quiz will test your ability to factor a four-term polynomial using grouping.

Factoring by Grouping
5 questions

In this lesson, we will learn how to factor trinomials with a leading coefficient of 1 into the product of two binomials.

Factoring Trinomials when the Leading Coefficient is 1
12:34

Practice test for factoring trinomials when the leading coefficient is 1.

Factoring Trinomials when the Leading Coefficient is 1 Practice Test
00:07

This quiz will test your ability to factor a trinomial when the leading coefficient is 1.

Factoring Trinomials when the Leading Coefficient is 1
5 questions

In this lesson, we will learn how to factor trinomials when the leading coefficient is not 1, using the AC Method (factoring by grouping).

Factoring Trinomials using the AC Method
14:22

Practice test for factoring trinomials using the ac method.

Factoring Trinomials using the AC Method Practice Test
00:07

This quiz will test your ability to factor trinomials using the AC Method.

Factoring Trinomials using the AC Method
5 questions

In this lesson, we will learn how to factor trinomials when the leading coefficient is not 1, using the reverse FOIL method.

Factoring Trinomials using Reverse FOIL (Trial and Error)
18:19

Practice test for factoring trinomials using reverse foil (trial and error).

Factoring Trinomials using Reverse FOIL (Trial and Error) Practice Test
00:07

This quiz will test your ability to factor trinomials using reverse FOIL.

Factoring Trinomials using Reverse FOIL
5 questions

In this lesson, we will learn how to factor commonly occuring polynomials using special factoring formulas.

Special Factoring
19:12

Practice test for special factoring.

Special Factoring Practice Test
00:06

This quiz will test your ability to factor commonly occuring polynomials using special factoring formulas.

Special Factoring
5 questions

In this lesson, we will learn how to factor polynomials using substitution.

Factoring by Substitution
16:12

Practice test for factoring by substitution.

Factoring by Substitution Practice Test
00:06

This quiz will test your ability to factor polynomials that are quadratic in form, using substitution.

Factoring by Substitution
5 questions

This quiz will test your knowledge of how to factor a polynomial.

Factoring Polynomials
14 questions
+ Review of Rational Expressions
12 lectures 01:38:23

In this lesson, we will review how to find the restricted values for a rational expression.

Finding the Restricted Values for a Rational Expression
11:58

Practice test for finding the restricted value for a rational expression.

Finding the Restricted Values for a Rational Expressions Practice Test
00:07

This quiz will test your ability to find the restricted values for a rational expression.

Finding the Restricted Values for a Rational Expression
5 questions

In this lesson, we will review how to simplify a rational expression.

Simplifying Rational Expressions
18:27

Practice test for simplifying rational expressions.

Simplifying Rational Expressions Practice Test
00:06

This quiz will test your ability to simplify rational expressions.

Simplifying Rational Expressions
5 questions

In this lesson, we will review how to multiply and divide rational expressions.

Multiplying and Dividing Rational Expressions
22:07

Practice test for multiplying and dividing rational expressions.

Multiplying and Dividing Rational Expressions Practice Test
00:07

This quiz will test your ability to multiply and divide rational expressions.

Multiplying and Dividing Rational Expressions
5 questions

In this lesson, we will review how to find the LCD for a group of rational expressions

Finding the LCD for Rational Expressions
11:07

Practice Test for finding the lcd for rational expressions.

Finding the LCD for Rational Expressions Practice Test
00:07

This quiz will test your ability to find the LCD for rational expressions.

Finding the LCD for Rational Expressions
5 questions

In this lesson, we will review how to find the LCD for a group of rational expressions, along with how to add and subtract rational expressions.

13:26

Practice test for adding and subtracting rational expressions.

Adding and Subtracting Rational Expressions Practice Test
00:07

This quiz will test your ability to add and subtract rational expressions.

5 questions

In this lesson, we will review how to simplify complex rational expressions.

Complex Rational Expressions
20:36

Practice test for complex rational expressions.

Complex Rational Expressions Practice Test
00:06

This quiz will test your ability to simplify complex rational expressions.

Complex Rational Expressions
5 questions

This quiz will test your knowledge of rational expressions.

Rational Expressions
12 questions
12 lectures 02:00:23

In this lesson, we will review how to simplify negative exponents. We will also review how to use the quotient rule for exponents.

Negative Exponents and the Quotient Rule
19:44

Practice test for negative exponents and the quotient rule.

Negative Exponents and the Quotient Rule Practice Test
00:07

This quiz will test your ability to simplify expressions using negative exponents and the quotient rule for exponents.

Negative Exponents and the Quotient Rule
5 questions

In this lesson, we will review how to simplify expressions with rational exponents.

Rational Exponents (Fractional Exponents)
18:56

Practice test for rational exponents (fractional exponents).

Rational Exponents (Fractional Exponents) Practice Test
00:06

Rational Exponents (Fractional Exponents)
5 questions

In this lesson, we will review how to evaluate radical expressions. We will also look at how to deal with radicals that involve variables in the radicand.

27:43

00:06

5 questions

In this lesson, we will review how to simplify radical expressions.

17:25

Practice test for simplifying radical expressions.

00:06

5 questions

In this lesson, we will review how to add and subtract radical expressions.

20:26

Practice test for operations with radical expressions.

Operations with Radical Expressions Practice Test
00:06

This quiz will test your ability to perform operations with radical expressions.

5 questions

In this lesson, we will review how to rational the denominator.

Rationalizing Denominators
15:30

Practice test for rationalizing denominators.

Rationalizing Denominators Practice Test
00:06

This quiz will test your ability to rationalize a denominator.

Rationalizing Denominators
5 questions

This quiz will test your knowledge of radical expressions, simplifying negative exponents, and using rational exponents.

15 questions
+ Solving Linear Equations and Inequalities in One Variable
24 lectures 03:33:35

In this lesson, we will review the addition property of equality. This property will allow us to add or subtract the same number to or from both sides of an equation.

11:17

Practice test for the addition property of equality.

The Addition Property of Equality Practice Test
00:07

This quiz will test your knowledge of how to solve one-step equations using addition and subtraction.

5 questions

In this lesson, we will review the multiplication property of equality. This property will allow us to multiply or divide both sides of an equation by the same non-zero number.

The Multiplication Property of Equality
10:17

Practice test for the multiplication property of equality.

The Multiplication Property of Equality Practice Test
00:06

This quiz will test your knowledge of how to solve equations using the multiplication property of equality.

The Multiplication Property of Equality
5 questions

In this lesson, we will review the four-step process used to solve any linear equation in one variable.

Solving Linear Equations in One Variable
12:10

Practice test for solving linear equations in one variable.

Solving Linear Equations in One Variable Practice Test
00:07

This quiz will test your knowledge of how to solve a linear equation in one variable.

Solving Linear Equations in One Variable
5 questions
Solving Linear Equations with Fractions or Decimals
17:45

Practice test for solving linear equations with fractions or decimals practice test

Solving Linear Equations with Fractions or Decimals Practice Test
00:07

This quiz will test your knowledge of how to solve equations with Fractions or Decimals.

Solving Linear Equations with Fractions or Decimals
5 questions

In this lesson, we will review how to determine if an equation is conditional, a contradiction (no solution), or an identity (can be solved with any real number).

Identifying Types of Equations
05:55

Practice test for identifying types of equations.

Identifying Types of Equations Practice Test
00:06

This quiz will test your ability to determine if an equation is conditional, a contradiction, or an identity.

Identifying Types of Equations
5 questions

In this lesson, we review how to solve proportion equations and proportion word problems.

Solving Proportion Equations
16:13

Practice test for solving proportion equations.

Solving Proportion Equations Practice Test
00:06

This quiz will test your ability to solve proportion equations.

Solving Proportion Equations
5 questions

In this lesson, we review how to solve literal equations. A literal equation is one that contains more than one unique variable. When we solve a literal equation, we are solving for a specific variable. Another way to think of this is we are putting our equation in terms of one of the variables.

Solving Literal Equations
18:53

Practice test for solving literal equations.

Solving Literal Equations Practice Test
00:06

This quiz will test your knowledge of how to solve an equation for a specified variable (solving literal equations).

Solving Literal Equations
5 questions

In this lesson, we will review how to solve a linear inequality in one variable.

Solving Linear Inequalities in One Variable
30:09

Practice test for solving linear inequalities in one variable.

Solving Linear Inequalities in One Variable Practice Test
00:07

This quiz will test your knowledge of how to solve a linear inequality in one variable.

Solving Linear Inequalities in One Variable
5 questions

In this lesson, we will review how to solve a three-part inequality.

Solving a Three-Part Inequality in One Variable
14:16

Practice test for solving a three-part inequality in one variable.

Solving a Three-Part Inequality in One Variable Practice Test
00:07

This quiz will test your knowledge of how to solve a three-part inequality in one variable.

Solving a Three-Part Inequality in One Variable
5 questions

In this lesson, we will learn how to solve compound inequalities with the connective words "and" or "or".

Solving Compound Inequalities with "and" or "or"
22:17

Practice test for solving compound inequalities with "and" or "or".

Solving Compound Inequalities with "and" or "or" Practice Test
00:07

This quiz will test your knowledge of how to solve a compound inequality with "and" or "or".

Solving Compound Inequalities with "and" or "or"
5 questions

In this lesson, we learn how to solve absolute value equations.

Solving Absolute Value Equations
25:08

Practice test for solving absolute value equations.

Solving Absolute Value Equations Practice Test
00:06

This quiz will test your knowledge of how to solve an absolute value equation.

Solving Absolute Value Equations
5 questions

In this lesson, we will review how to solve absolute value inequalities.

Solving Absolute Value Inequalities
27:51

Practice test for solving absolute value inequalities.

Solving Absolute Value Inequalities Practice Test
00:06

This quiz will test your knowledge of how to solve absolute value inequalities.

Solving Absolute Value Inequalities
5 questions

In this quiz, we will test our knowledge of how to solve linear equations and inequalities in one variable.

Section Quiz: Solving Linear Equations and Inequalities in One Variable
20 questions
+ Applications of Linear Equations
16 lectures 02:55:05

In this lesson, we review how to translate phrases into algebraic expressions and equations.

Translating Phrases into Algebraic Expressions and Equations
28:31

Practice test for translating phrases into algebraic expressions.

Translating Phrases into Algebraic Expressions and Equations Practice Test
00:07
Translating Phrases into Algebraic Expressions and Equations
5 questions

In this lesson, we will review how to solve word problems with consecutive integers.

Consecutive Integer Word Problems
20:13

Practice test for consecutive integer word problems.

Consecutive Integer Word Problems Practice Test
00:06

In this quiz, we will test your knowledge of how to solve consecutive integer problems.

Consecutive Integer Word Problems
5 questions

In this lesson, we review how to solve age word problems.

Age Word Problems
18:30

Practice test for age word problems.

Age Word Problems Practice Test
00:06

In this quiz, we will test your knowledge of how to solve age word problems.

Age Word Problems
5 questions

In this lesson, we review how to solve motion word problems.

Motion Word Problems
16:43

Practice test for motion word problems.

Motion Word Problems Practice Test
00:06

In this quiz, we will test your knowledge of how to solve motion word problems.

Motion Word Problems
5 questions

In this lesson, we will review how to solve mixture word problems.

Mixture Word Problems
27:44

Practice test for mixture word problems.

Mixture Word Problems Practice Test
00:06

In this quiz, we will test your knowledge of how to solve mixture word problems.

Mixture Word Problems
5 questions

In this lesson, we review how to solve bill and coin word problems, which are also referred to as money word problems.

Money Word Problems
25:47

Practice test for money word problems.

Money Word Problems Practice Test
00:06

In this quiz, we will test our knowledge of how to solve word problems that involve money, such as bills or coins.

Money Word Problems
5 questions

In this lesson, we review the process used to solve a word problem with the simple interest formula: I = prt.

Simple Interest Word Problems
22:25

Practice test for simple interest word problems.

Simple Interest Word Problems Practice Test
00:06

In this quiz, we test your knowledge of how to solve simple interest word problems.

Simple Interest Word Problems
5 questions

In this lesson, we review how to solve word problems that involve percentages.

Percent Word Problems
14:19

Practice test for percent word problems.

Percent Word Problems Practice Test
00:06

This quiz will test your knowledge of how to solve percent word problems.

Percent Word Problems
5 questions
Section Quiz: Applications of Linear Equations
16 questions
+ Solving Quadratic Equations and Inequalities
20 lectures 03:43:49

In this lesson, we will review the imaginary unit i and learn how to simplify the square root of a negative number.

Preview 12:10

Practice test for the imaginary unit i.

The Imaginary Unit i Practice Test
00:06

This quiz will test your knowledge of how to find the square root of a negative number using the imaginary unit i. We will also test your knowledge of how to simplify powers of i.

The Imaginary Unit i
5 questions

This lesson will review how to perform operations with complex numbers.

Operations with Complex Numbers (Adding, Subtracting, Multiplying, Dividing)
20:24

Practice test for operations with complex numbers.

Operations with Complex Numbers Practice Test
00:06

This quiz will test your knowledge of how to perform operations with complex numbers.

Operations with Complex Numbers (Adding, Subtracting, Multiplying, Dividing)
5 questions

In this lesson, we review how to simplify with powers of i.

Simplifying Powers of i
08:59

Practice test for simplifying powers of i.

Simplifying Powers of i Practice Test
00:06

This quiz will test your knowledge of how to simplify powers of i.

Simplifying Powers of i
5 questions

In this lesson, we review how to solve quadratic equations by factoring.

17:56

Practice test for solving quadratic equations by factoring.

Solving Quadratic Equations by Factoring Practice Test
00:07
5 questions

In this lesson, we learn how to solve a quadratic equation of the form: x^2 = k or (ax + b)^2 = k. This property will be the foundation for our next lesson on completing the square.

The Square Root Property
17:33

Practice test for the square root property.

The Square Root Property Practice Test
00:06
The Square Root Property
5 questions

In this lesson, we will review how to solve a quadratic equation by completing the square.

Completing the Square
29:10

Practice test for completing the square.

Completing the Square Practice Test
00:06
Completing the Square
5 questions

In this lesson, we will review how to solve quadratic equations using the quadratic formula.

18:20

Practice test for the quadratic formula.

00:06
5 questions

In this lesson, we review how to solve equations that are quadratic in form. This means we can use substitution to write the equation as a quadratic equation. We can then solve the equation and substitute again to find our answer.

23:17

Practice test for quadratic in form.

00:06
5 questions

In this lesson, we learn how to set up and solve common application problems that involve quadratic equations.

44:35

Practice test for applications of quadratic equations.

Applications of Quadratic Equations Practice Test
00:06
5 questions

In this lesson, we review how to solve quadratic inequalities.

30:19

Practice test for solving quadratic inequalities.

00:06
5 questions

This quiz will test your understanding of how to solve quadratic equations and inequalities.

Section Quiz: Solving Quadratic Equations and Inequalities
25 questions
+ Solving Radical Equations and Rational Equations / Inequalities
14 lectures 03:16:49

In this lesson, we review how to solve radical equations. Here will will focus on how to solve equations with square roots. We will look at equations with higher level roots in part II.

23:14

Practice test for solving radical equations I.

Solving Radical Equations I Practice Test
00:07

This quiz will test your knowledge of how to solve radical equations.

5 questions

In this lesson, we will continue to review the process used for solving radical equations. We will look at examples with cube roots, fourth roots, and mixed roots.

24:36

Practice test for solving radical equations II.

Solving Radical Equations II Practice Test
00:06

This quiz will test your knowledge of how to solve radical equations.

5 questions

In this lesson, we review the process of solving a radical inequality.

23:54

Practice test for solving radical inequalities I.

Solving Radical Inequalities I Practice Test
00:06

This quiz will test your knowledge of how to solve radical inequalities.

5 questions

In this lesson, we continue to review solving radical inequalities.

26:37

Practice test for solving radical inequalities II.

Solving Radical Inequalities II Practice Test
00:06

This quiz will test your knowledge of how to solve a radical inequality.

5 questions

In this lesson, we review how to solve rational equations.

Solving Rational Equations
24:55

Practice test for solving rational equations.

Solving Rational Equations Practice Test
00:06

This quiz will test your knowledge of how to solve rational equations.

Solving Rational Equations
5 questions

In this lesson, we review how to solve a radical inequality.

Solving Rational Inequalities
37:38

Practice test for solving rational inequalities.

Solving Rational Inequalities Practice Test
00:06

This quiz will test your knowledge of how to solve rational inequalities.

Solving Rational Inequalities
5 questions

In this lesson, we review word problems that involve rational equations. The problem types we will cover are known as work rate problems and motion word problems.

Applications of Rational Equations
35:08

Practice test for applications of rational equations.

Applications of Rational Equations Practice Test
00:06

This quiz will test your knowledge of how to solve word problems that involve solving rational equations.

Applications of Rational Equations
5 questions

This quiz will test your knowledge of how to solve radical equations, rational equations and inequalities.

Section Quiz: Solving Radical Equations, Rational Equations, and Inequalities
18 questions
+ More Advanced Absolute Value Equations/Inequalities
6 lectures 01:42:18

In this lesson, we learn how to solve absolute value equations with quadratic and rational expressions involved.

Absolute Value Equations II
25:36

Practice test for absolute value equations II.

Absolute Value Equations II Practice Test
00:06

This quiz will test your knowledge of how to solve more advanced absolute value equations.

Absolute Value Equations II
5 questions

In this lesson, we learn how to solve more advanced absolute value equations. We will look at nested absolute value equations, equations with double absolute value operations and a lose number, and a more advanced quadratic equation with absolute value involved.

Absolute Value Equations III
40:32

Practice test for absolute value equations III.

Absolute Value Equations III Practice Test
00:06

This quiz will test your knowledge of more challenging absolute value equations.

Absolute Value Equations III
5 questions

In this lesson, we learn how to solve more advanced absolute value inequalities.

Absolute Value Inequalities II
35:50

Practice test for absolute value inequalities II.

Absolute Value Inequalities II Practice Test
00:06

This quiz will test your knowledge of more advance absolute value inequalities.

Absolute Value Inequalities II
5 questions

This quiz will test your knowledge of how to solve more advanced absolute value equations/inequalities.

Section Quiz: Solving More Advanced Absolute Value Equations/Inequalities
8 questions
+ Graphs and Functions
54 lectures 10:01:46

In this lesson, we review the coordinate plane and how to plot ordered pairs.

The Rectangular Coordinate System
20:01

Practice test for the rectangular coordinate system.

The Rectangular Coordinate System Practice Test
00:06

This quiz will test your knowledge of the rectangular coordinate plane and how to plot ordered pairs.

The Rectangular Coordinate System
5 questions

In this lesson, we learn how to find the distance between two points using the distance formula. The distance formula is a direct application of the pythagorean formula, which relates the sides of a right triangle. a^2 + b^2 = c^2

Distance between Two Points (Distance Formula)
19:51

Practice test for finding the distance between two points.

Distance between Two Points (Distance Formula) Practice Test
00:07

This quiz will test your knowledge of how to find the distance between two points on the coordinate plane.

Distance between Two Points (Distance Formula)
5 questions

In this lesson, we learn how to determine if three points are the vertices of a right triangle.

Determining Whether Three Points are the Vertices of a Right Triangle
14:42

Practice test for determining whether three points are the vertices of a right triangle.

Determining Whether Three Points are the Vertices of a Right Triangle P.T.
00:08

This quiz will test your knowledge of how to determine if three points are the vertices of a right triangle.

Determining Whether Three Points are the Vertices of a Right Triangle
5 questions

In this lesson, we learn how to determine if three points are collinear, using the distance formula.

Determining Whether Three Points are Collinear
14:15

Practice test for determining whether three points are collinear.

Determining Whether Three Points are Collinear Practice Test
00:07

This quiz will test your knowledge of how to determine if three points are collinear.

Determining Whether Three Points are Collinear
5 questions

In this lesson, we learn how to find the midpoint of a line segment.

The Midpoint Formula
17:14

Practice test for the midpoint formula.

The Midpoint Formula Practice Test
00:06

This quiz will test your knowledge of the midpoint formula.

The Midpoint Formula
5 questions

In this lesson, we will learn how to plot a complex number on the complex plane.

Preview 06:01

Practice test for plotting complex numbers.

Plotting Complex Numbers Practice Test
00:06

This quiz will test your knowledge of how to plot complex numbers on the complex plane.

Plotting Complex Numbers
5 questions

In this lesson, we learn how to find the absolute value of a complex number a + bi.

Preview 14:20

Practice test for finding the absolute value of a complex number.

Absolute Value of a Complex Number Practice Test
00:07

In this lesson, we learn how to find the absolute value of a complex number.

Absolute Value of a Complex Number
5 questions

In this lesson, we learn how to find the distance between two complex numbers on the complex plane. Additionally, we will learn how to find the midpoint of a line segment that has two complex numbers as endpoints.

Distance and Midpoint Formulas in the Complex Plane
18:46

Practice test for distance and midpoint formulas in the complex plane.

Distance and Midpoint Formulas in the Complex Plane Practice Test
00:07

This quiz will test your knowledge of how to work with the distance and midpoint formulas in the complex plane.

Distance and Midpoint Formulas in the Complex Plane
5 questions

In this lesson, we will learn how to write the equation of a circle in center-radius form, and graph a circle on the coordinate plane.

Graphing Circles
31:49

Practice test for graphing circles.

Graphing Circles Practice Test
00:06

This quiz will test your knowledge of how to graph circles.

Graphing Circles
6 questions

This quiz will test your knowledge of the coordinate plane, the distance formula,  working with complex numbers on the complex plane and circles.

Section Quiz: Graphs and Functions I
19 questions

In this lesson, we learn about relations and functions. We will also introduce the concept of domain and range.

Relations and Functions
20:43

Practice test for relations and functions.

Relations and Functions Practice Test
00:06

This quiz will test your knowledge of how to determine if a relation is a function.

Relations and Functions
5 questions

In this lesson, we will review how to find the domain and range of a relation.

Domain and Range
25:53

Practice test for domain and range.

Domain and Range Practice Test
00:06

This quiz will test your knowledge of how to find the domain and range of a relation or function.

Domain and Range
5 questions

In this lesson, we learn how to graphically determine if a relation is a function using the vertical line test.

Vertical Line Test
15:29

Practice test for the vertical line test.

Vertical Line Test Practice Test
00:06

This quiz will test your knowledge of how to use the vertical line test to determine if we have a function.

Vertical Line Test
5 questions

In this lesson, we learn how to write a function using function notation. Additionally, we will understand how to use function notation to evaluate a function for a given value of the independent variable.

Function Notation
18:51

Practice test for Function Notation.

Function Notation Practice Test
00:06

This quiz will test your knowledge of function notation.

FunctionNotation
5 questions

In this lesson, we learn how to graph a linear function using the traditional method of creating a table of values. We then move on and show a faster method that involves graphing the line from slope-intercept form.

Graphing Linear Functions
27:51

Practice test for graphing linear functions.

Graphing Linear Functions Practice Test
00:06

This quiz will test your knowledge of how to graph linear functions.

Graphing Linear Functions
5 questions

In this lesson, we learn how to find the slope of a line using the slope formula. Additionally, we will learn how to place a line in slope-intercept form and determine the slope of a line from its equation.

Finding the Slope of a Line
25:21

Practice test for finding the slope of a line.

Finding the Slope of a Line Practice Test
00:07

This quiz will test your knowledge of how to find the slope of a line.

Finding the Slope of a Line
5 questions

In this lesson, we learn how to write the equation of a line in slope intercept form, point-slope form, and standard form.

Equations of Lines
24:09

Practice test for equations of lines.

Equations of Lines Practice Test
00:06

This quiz will test your knowledge of how to manipulate the equation of a line into its different forms: slope-intercept form, point-slope form, and standard form.

Equations of Lines
5 questions

In this lesson, we learn how to determine if two lines are parallel, perpendicular, or neither.

Parallel and Perpendicular Lines
26:16

Practice test for parallel and perpendicular lines.

Parallel and Perpendicular Lines Practice Test
00:06

This quiz will test your knowledge of how to determine if two lines are parallel, perpendicular, or neither.

Parallel and Perpendicular Lines
5 questions

This quiz will test your knowledge of the basics of functions, along with topics of linear functions.

Section Quiz: Graphs and Functions II
16 questions

In this lesson, we learn about the graphs of six basic functions, along with their domain and range.

Graphs of Basic Functions
20:15

Practice test for graphs of basic functions.

Graphs of Basic Functions Practice Test
00:06

This quiz will test your knowledge of how to graph basic functions.

Graphs of Basic Functions
5 questions

In this lesson, we learn about the absolute value function, the greatest integer function and piecewise-defined functions.

Piecewise Functions
24:43

Practice test for piecewise functions.

Piecewise Functions Practice Test
00:06

This quiz will test your knowledge of piecewise functions.

Piecewise Functions
5 questions

In this lesson, we will learn how to find the intervals where a function is increasing, decreasing, or constant from its graph.

Increasing, Decreasing, and Constant Functions
20:22

Practice test for increasing, decreasing, and constant functions.

Increasing, Decreasing, and Constant Functions Practice Test
00:07

This quiz will test your knowledge of increasing, decreasing, and constant functions.

Increasing, Decreasing, and Constant Functions
5 questions

In this lesson, we will learn about stretching or shrinking a graph.

Graphing Techniques: Shrinking and Stretching
22:57

Practice test for graphing techniques: shrinking and stretching.

Graphing Techniques: Shrinking and Stretching Practice Test
00:06

This quiz will test your knowledge of stretching or shrinking a graph.

Graphing Techniques: Shrinking and Stretching
5 questions

In this lesson, we will learn how to reflect a graph across an axis.

Graphing Techniques: Reflecting
30:08

Practice test for graphing techniques: reflecting.

Graphing Techniques: Reflecting
00:06

This quiz will test your knowledge of graphing using reflecting.

Graphing Techniques: Reflecting
5 questions

In this lesson, we will learn how to determine if a function is even, odd, or neither.

Even and Odd Functions
30:02

Practice test for even and odd functions.

Even and Odd Functions Practice Test
00:06

This quiz will test your knowledge of how to determine if a function is even or odd.

Even and Odd Functions
5 questions

In this lesson, we learn about horizontal and vertical shifts, which are also known as translations.

Graphing Techniques: Translations (Horizontal and Vertical Shifts)
25:23

Practice test for graphing techniques: translations (horizontal and vertical shifts).

Graphing Techniques: Translations (Horizontal and Vertical Shifts) Practice Test
00:07

This quiz will test your knowledge of translations, otherwise known as horizontal and vertical shifts.

Graphing Techniques: Translations (Horizontal and Vertical Shifts)
5 questions

In this lesson, we learn how to perform operations (addition, subtraction, multiplication, and division) with functions.

Operations on Functions
27:47

Practice test for operations on functions.

Operations on Functions Practice Test
00:06

This quiz will test your knowledge of how to perform operations with functions.

Operations on Functions
5 questions

In this lesson, we learn how to find the difference quotient.

The Difference Quotient
20:07

Practice test for the difference quotient.

The Difference Quotient Practice Test
00:06

This quiz will test your knowledge of how to find the difference quotient.

The Difference Quotient
5 questions

In this lesson, we learn how to compose functions, decompose functions, and find the domain of a composite function.

Composition of Functions
35:26

Practice test for composition of functions.

Composition of Functions Practice Test
00:06

This quiz will test your knowledge of function composition.

Composition of Functions
5 questions
Section Quiz: Graphs and Functions III
20 questions