College Algebra
14 units244 videos20 hours
Learn it live with a class on Puzzicle · Teachers: use it with your class
Unit 1: Exponents and radicals
Exponent properties (integer exponents)
Simplifying square roots
Exponential expressions
Graphing exponential growth and decay
Rational exponents
Properties of exponents (rational exponents)
Evaluating exponents and radicals
Unit 2: Polynomial arithmetic
Adding and subtracting polynomials
Taking common factors
Factoring higher degree polynomials
Factoring using structure
Creativity break: How can we combine ways of thinking in problem solving? ✓ Check-ins2:31
Identifying quadratic patterns ✓ Check-ins5:50
Factorization with substitution ✓ Check-ins5:13
Factoring using the perfect square pattern ✓ Check-ins2:25
Factoring using the difference of squares pattern ✓ Check-ins1:49
Unit 3: Quadratics: Multiplying and factoring
Multiplying binomials
Special products of binomials
Factoring quadratics intro
Factoring quadratics by grouping
Factoring quadratics with difference of squares
Creativity break: How can people get creative in algebra ✓ Check-ins1:07
Difference of squares intro ✓ Check-ins4:54
Factoring difference of squares: leading coefficient ≠ 1 ✓ Check-ins2:23
Factoring difference of squares: analyzing factorization ✓ Check-ins3:09
Factoring difference of squares: shared factors ✓ Check-ins4:23
Factoring quadratics with perfect squares
Unit 4: Rational expressions
Reducing rational expressions to lowest terms
Multiplying and dividing rational expressions
Adding and subtracting rational expressions
Adding & subtracting rational expressions: like denominators ✓ Check-ins3:45
Intro to adding rational expressions with unlike denominators ✓ Check-ins2:44
Adding rational expression: unlike denominators ✓ Check-ins5:11
Subtracting rational expressions: unlike denominators ✓ Check-ins4:47
Least common multiple of polynomials ✓ Check-ins6:52
Subtracting rational expressions: factored denominators ✓ Check-ins4:48
Subtracting rational expressions ✓ Check-ins4:36
Unit 5: Linear equations and inequalities
Solving equations with one unknown
Solutions to linear equations
Intro to the coordinate plane ✓ Check-ins11:22
Solutions to 2-variable equations ✓ Check-ins2:35
Worked example: solutions to 2-variable equations ✓ Check-ins2:26
Creativity break: Why is creativity important in algebra? ✓ Check-ins1:22
Interpreting points in context of graphs of systems ✓ Check-ins5:39
Multi-step linear inequalities
Compound inequalities
Modeling with linear equations and inequalities
Unit 6: Quadratic functions and equations
Solving quadratics by taking the square root
Solving quadratics by factoring
Solving quadratics by factoring ✓ Check-ins6:22
Solving quadratics by factoring: leading coefficient ≠ 1 ✓ Check-ins4:35
Solving quadratics using structure ✓ Check-ins3:55
Quadratic equations word problem: triangle dimensions ✓ Check-ins8:21
Quadratic equations word problem: box dimensions ✓ Check-ins5:54
The quadratic formula
Completing the square
Completing the square ✓ Check-ins14:06
Worked example: Completing the square (intro) ✓ Check-ins3:22
Worked example: Rewriting expressions by completing the square ✓ Check-ins3:02
Worked example: Rewriting & solving equations by completing the square ✓ Check-ins6:19
Solve by completing the square: Integer solutions ✓ Check-ins6:29
Solve by completing the square: Non-integer solutions ✓ Check-ins4:02
Worked example: completing the square (leading coefficient ≠ 1) ✓ Check-ins5:44
Solving quadratics by completing the square: no solution ✓ Check-ins5:24
Proof of the quadratic formula ✓ Check-ins7:44
Unit 7: Complex numbers
The imaginary unit i
Adding and subtracting complex numbers
Multiplying complex numbers
Complex conjugates and dividing complex numbers
Unit 8: Advanced equations
Absolute value equations
Square-root equations
Rational equations
Unit 9: Relating algebra and geometry
Distance and midpoints
Standard equation of a circle
Unit 10: Graphs and forms of linear equations
Intercepts
Slope
Graphing from slope
Horizontal and vertical lines
Slope-intercept form
Point-slope form
Writing linear equations in any form
Equations of parallel and perpendicular lines
Parallel lines from equation ✓ Check-ins3:48
Parallel lines from equation (example 2) ✓ Check-ins3:03
Parallel lines from equation (example 3) ✓ Check-ins2:42
Perpendicular lines from equation ✓ Check-ins3:29
Writing equations of perpendicular lines ✓ Check-ins3:01
Writing equations of perpendicular lines (example 2) ✓ Check-ins1:45
Proof: parallel lines have the same slope ✓ Check-ins5:49
Proof: perpendicular lines have opposite reciprocal slopes ✓ Check-ins8:55
Unit 11: Functions
Evaluating functions
Inputs and outputs of a function
Domain and range of a function
Intervals and interval notation ✓ Check-ins9:36
What is the domain of a function? ✓ Check-ins6:45
What is the range of a function? ✓ Check-ins6:39
Worked example: domain and range from graph ✓ Check-ins3:34
Determining whether values are in domain of function ✓ Check-ins4:57
Examples finding the domain of functions ✓ Check-ins4:25
Recognizing functions
Relations and functions ✓ Check-ins6:57
Checking if a table represents a function ✓ Check-ins1:16
Recognizing functions from table ✓ Check-ins4:40
Recognizing functions from graph ✓ Check-ins4:07
Testing if a relationship is a function ✓ Check-ins2:23
Does a vertical line represent a function? ✓ Check-ins1:40
Recognizing functions from verbal description word problems ✓ Check-ins3:23
Intervals where a function is positive, negative, increasing, or decreasing
Average rate of change of polynomials
Unit 12: Transformations of functions
Graphs of absolute value functions
Shifting functions
Reflecting functions
Symmetry of functions
Unit 13: Advanced function types
Forms and features of quadratic functions
Piecewise functions
Composing functions
Unit 14: Logarithms
Introduction to logarithms
Properties of logarithms
Intro to logarithm properties (1 of 2) ✓ Check-ins9:16
Intro to logarithm properties (2 of 2) ✓ Check-ins10:04
Using the logarithmic product rule ✓ Check-ins5:04
Using the logarithmic power rule ✓ Check-ins4:49
Using the properties of logarithms: multiple steps ✓ Check-ins2:10
Proof of the logarithm product rule ✓ Check-ins7:08
Proof of the logarithm quotient and power rules ✓ Check-ins7:59
The change of base formula for logarithms
Solving exponential equations using properties of exponents
Logarithmic equations
Interpreting the rate of change of exponential models
Learn this with a class
With a class on Puzzicle this course runs as a timetable of live study parties: your batch watches together and answers the check-ins, sometimes with a teacher leading.
Course content © Khan Academy, used under CC BY-NC-SA. See this course on Khan Academy.