### This website shows Khan Academy links for most topics in College Algebra

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Scroll down through each section to see some links to Khan Academy videos and practice problems for topics in this section.

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Review - Polynomials
TopicVideosPractice Problems
Recognize Monomials
Recognize Polynomials Recognize Terms, Coefficients, and Exponents
Multiply Polynomials Multiplying Polynomials Multiplying Polynomials
Know Formulas for Special Products Special Products of Binomials
Divide Polynomials Polynomial Division Dividing Polynomials
Work with Polynomials in Two Variables

Review - Factoring Polynomials
TopicVideosPractice Problems
Factor Special Products Factoring Difference of Squares Factoring Special Products
Factor Perfect Squares Factoring Perfect Square Trinomials
Factor by Grouping Factor by Grouping
Complete the Square Completing the Square

Review - Rational Expressions
TopicVideosPractice Problems
Reduce a Rational Expression to Lowest Terms Simplifying Rational Expressions Introduction
Multiply and Divide Rational Expressions Multiplying and Dividing Rational Expressions
Simplify Complex Rational Expressions

Review - nth Roots; Rational Exponents
TopicVideosPractice Problems
Work with nth Roots Radical Expressions with Higher Roots
Rationalize Denominators How to Rationalize a Denominator
Simplify Expressions with Rational Exponents Fractional Exponent Expressions Exponents 3

1.1 Real Numbers and the Rectangular Coordinate System
TopicVideosPractice Problems
Sets of real numbers Classifying numbers Classifying numbers practice
The rectangular coordinate system Points on the coordinate plane Plotting points practice
Distance formula Distance between points Distance formula practice
Midpoint formula The midpoint of a line segment Midpoint practice

1.2 Introduction to Relations and Functions
TopicVideosPractice Problems
Interval notation Intervals and interval notation
Domain and range What is the domain of a function? Domain practice
Deciding whether relations are functions Testing if a relationship is a function Recognizing functions practice
Vertical Line Test Recognizing functions Recognizing functions practice
Function notation What is a function?  Functions practice

1.3 Linear Functions
TopicVideosPractice Problems
Graphing a linear function Graph by plotting points  Graphing practice 1
Locating intercepts Finding intercepts Intercepts practice
Slope Finding slope Slope practice
Graphing using the slope and a point Graphing from slope-intercept equation Graphing practice 2

1.4 Equations of Lines and Linear Models
TopicVideosPractice Problems
Point-slope form Point-slope and slope-intercept equations Equations practice
Parallel and perpendicular lines Writing equations of perpendicular lines  Perpendicular lines practice

1.5 Linear Equations and Inequalities
TopicVideosPractice Problems
Solving linear equations in one variable Linear equation Linear equations practice
Identities Creating an equation with infinitely-many solutions
Contradictions Creating an equation with no solution
Solving linear inequalities in one variable Solving an inequality Inequalities practice
Compound inequalities Double inequalities

1.6 Applications of Linear Functions
TopicVideosPractice Problems
Applications of linear equations Mixture problems
Formulas Manipulating formulas

2.1 Graphs of Basic Functions and Relations; Symmetry
TopicVideosPractice Problems
Increasing, decreasing, and constant functions Increasing, decreasing, positive, or negative intervals Increasing or decreasing practice
Even and odd functions Intro to function symmetry Symmetry practice

2.2 Vertical and Horizontal Shifts of Graphs
TopicVideosPractice Problems
Vertical and horizontal shifts Shifting functions  Shifting functions practice

2.3 Stretching, Shrinking, and Reflecting Graphs
TopicVideosPractice Problems
Vertical stretching Shifting & reflecting functions Shifting & reflecting practice
Vertical shrinking Compressing functions
Reflecting Reflecting & compressing functions

2.4 Absolute Value Functions
TopicVideosPractice Problems
Solving absolute value equations Absolute value equations Absolute value equations practice
Solving absolute value inequalities Absolute value inequalities

2.5 Piecewise-defined Functions
TopicVideosPractice Problems
Evaluating piecewise-defined functions Evaluating piecewise-defined functions Evaluating piecewise-defined functions practice
Graphing piecewise-defined functions Graphing piecewise-defined functions Graphing piecewise-defined functions practice

2.6 Operations and Composition
TopicVideosPractice Problems
Subtracting functions Subtracting functions
Multiplying functions Multiplying functions
Dividing functions Dividing functions
Composition of functions Intro to composing functions

TopicVideosPractice Problems
Vertex formula Finding the vertex of a parabola
Circles in standard form Features of a circle from standard equation Equation of a circle practice 1
Circles in expanded form Features of a circle from expanded equation Equation of a circle practice 2
Completing the square Completing the square

TopicVideosPractice Problems
Zero-product property Solving a quadratic by factoring Solve a quadratic by factoring practice
Square-root method Solving quadratics by square roots Solve a quadratic by square roots practice
Completing the square Solving quadratics by completing the square

3.4 Applications of Quadratic Functions and Models
TopicVideosPractice Problems
No topics available

4.1 Graphs of Polynomial Functions
TopicVideosPractice Problems
Turning points and real zeros Zeros of polynomials and their graphs Zeros of polynomials practice
End behavior End behavior of polynomials End behavior practice

4.2 Topics in the Theory of Polynomial Functions Part 1
TopicVideosPractice Problems
Polynomial division Long division of polynomials
Remainder theorem Using the remainder theorem to check factors Remainder theorem practice

4.3 Topics in the Theory of Polynomial Functions Part 2
TopicVideosPractice Problems
No topics available

4.4 Polynomial Equations, Inequalities, Applications, and Models
TopicVideosPractice Problems
Solving a polynomial equation Finding zeros of polynomials  Finding zeros of polynomials practice

5.1 Rational Functions and Graphs
TopicVideosPractice Problems
No topics available

5.2 Rational Functions and Graphs part 2
TopicVideosPractice Problems
Vertical and horizontal asymptotes Rational function end behavior and discontinuities
Graphing a rational function Graphing rational functions

5.3 Rational Equations, Inequalities, Models, and Applications
TopicVideosPractice Problems
Solving a rational equation Equations with rational expressions
Solving a rational inequality Rational inequalities
Models and Applications Rational equations word problem

5.4 Functions Defined By Powers and Roots
TopicVideosPractice Problems
Domain of a root function Domain of a radical function Domain practice
Transforming graphs of root functions Transforming the square root function

5.5 Equations, Inequalities, and Applications Involving Root Functions
TopicVideosPractice Problems
Solving root equations   Radical equations practice

6.1 Inverse Functions
TopicVideosPractice Problems
One-to-one functions Relating invertability to being one-to-one
Finding inverses of one-to-one functions Introduction to function inverses
Finding equations of inverses Finding inverse functions Inverse functions practice

6.2 Exponential Functions
TopicVideosPractice Problems
Graphs of exponential functions Exponential function graph Exponential graphs practice
Solving exponential equations Solving exponential equations using exponent properties Solving exponential equations practice
The number e and continuous compounding e and compound interest

6.3 Logarithms and Their Properties
TopicVideosPractice Problems
Change exponential statements to logarithmic statements Logarithms Logarithms practice
Evaluate logarithmic expressions Evaluating logarithms  Evaluating logarithm expressions practice
Properties of logarithms Intro to logarithm properties  Logarithm properties practice
The change of base rule Change of base rule Change of base rule practice

6.4 Logarithmic Functions
TopicVideosPractice Problems
Graph logarithmic functions Graphing logarithmic functions Graphing logarithmic functions practice

6.5 Exponential and Logarithmic Equations
TopicVideosPractice Problems
Solving exponential equations Solving exponential equations using logarithms  Solving exponential equations with logarithms practice
Solving logarithmic equations Logarithmic equations

6.6 Further Applications and Modeling with Exponential and Logarithmic Functions
TopicVideosPractice Problems
Exponential Growth Exponential model word problem: bacteria growth Exponential growth practice
Exponential Decay Exponential model word problem: medication dissolve

7.1 Systems of Equations
TopicVideosPractice Problems
Substitution method Systems of equations with substitution Substitution method practice
Elimination method Systems of equations with elimination Elimination method practice
Special Systems Number of solutions to a system of equations Number of solutions practice
Nonlinear systems

7.2 Solution of Linear Systems in Three Variables
TopicVideosPractice Problems
Solving a system of three equations in three variables Solving linear systems with three variables
Identifying a system with no solution Solving linear systems with three variables: no solution

12.5 The Binomial Theorem
TopicVideosPractice Problems
Binomial Coefficients Intro to the binomial theorem
Pascal's Triangle Pascal's Triangle and binomial expansion
The Binomial Theorem Expanding binomials Expanding binomials practice