Library
Worked examples
120 problems solved step by step. Pick a course, then pick a problem.
Pre-Algebra
Pre-Algebra hub- How to Use the Order of Operations (PEMDAS)
- How to Evaluate an Algebraic Expression
- How to Add and Subtract Negative Numbers
- How to Solve a Proportion
- How to Find a Unit Rate
- How to Multiply Negative Numbers
- How to Divide Negative Numbers
- How to Find Absolute Value
- How to Use Exponents in the Order of Operations
- How to Simplify a Ratio
- How to Add a Positive and a Negative Number
- Order of Operations with Nested Parentheses
- How to Find a Unit Price
- How to Check if Two Ratios Are Equivalent
- Order of Operations with Grouping Symbols
Algebra 1
Algebra 1 hub- How to Solve 2x + 3 = 11
- Solve an Equation with Variables on Both Sides
- How to Solve a System of Equations by Substitution
- How to Find the Slope from Two Points
- How to Write the Equation of a Line
- How to Solve a System of Equations by Elimination
- Solve a System by Elimination with Multiplication
- How to Solve a Ticket Word Problem with a System
- How to Solve an Equation with a Fraction
- How to Find the Intercepts of a Line
- Solve an Equation with the Distributive Property
- How to Find the Slope of a Horizontal Line
- Solve a System with Infinitely Many Solutions
- How to Combine Like Terms Before Solving
- How to Write a Linear Equation from a Word Problem
Algebra 2
Algebra 2 hub- How to Solve a Quadratic Equation by Factoring
- How to Use the Quadratic Formula
- How to Factor a Difference of Squares
- How to Simplify Rational Exponents
- How to Solve a Radical Equation
- How to Factor Out the Greatest Common Factor
- How to Factor x^2 + bx + c
- How to Factor a Perfect Square Trinomial
- How to Solve a Quadratic by Taking Square Roots
- How to Raise a Power to a Power
- How to Complete the Square
- How to Factor by Grouping
- How to Simplify a Square Root
- How to Solve an Equation with a Cube Root
- How to Use the Discriminant to Count Solutions
Geometry
Geometry hub- How to Find a Missing Angle in a Triangle
- How to Use the Pythagorean Theorem
- How to Find the Area of a Circle
- How to Find the Volume of a Rectangular Prism
- Find the Surface Area of a Rectangular Prism
- How to Find the Circumference of a Circle
- How to Find the Area of a Circle from the Diameter
- How to Find the Radius from the Circumference
- How to Find the Angles of an Isosceles Triangle
- How to Find the Volume and Surface Area of a Cube
- How to Find the Area of a Semicircle
- How to Find the Complement of an Angle
- How to Find the Volume of a Cylinder
- Find the Missing Height of a Rectangular Prism
- How to Use the Pythagorean Theorem to Find a Leg
Trigonometry
Trigonometry hub- How to Find a Missing Side with Sine
- How to Convert Degrees to Radians
- How to Evaluate sin 30 degrees on the Unit Circle
- How to Find a Missing Angle with Cosine
- How to Find the Period of a Sine Function
- How to Find the Period of a Cosine Function
- How to Find the Amplitude of a Sine Wave
- How to Find the Phase Shift of a Sine Graph
- How to Convert Radians to Degrees
- How to Find a Missing Angle with Inverse Sine
- How to Find a Missing Side with Cosine
- How to Find the Midline of a Sine Wave
- How to Evaluate Sine on the Unit Circle
- How to Find a Cosine Value on the Unit Circle
- How to Find a Missing Side with Tangent
Precalculus
Precalculus hub- How to Find the Domain of a Function
- How to Evaluate a Logarithm
- How to Solve an Exponential Equation
- How to Find the nth Term of an Arithmetic Sequence
- How to Find the Sum of a Geometric Series
- How to Find the Domain of a Square Root Function
- How to Find the Domain of a Fraction Function
- How to Evaluate a Quadratic Function
- How to Solve a Logarithmic Equation
- How to Find the Sum of an Arithmetic Series
- How to Find the Next Term of a Geometric Sequence
- How to Find the Inverse of a Linear Function
- How to Use the Product Rule for Logarithms
- Find the Sum of an Infinite Geometric Series
- How to Use the Power Rule for Logarithms
Calculus
Calculus hub- How to Find a Limit by Factoring
- How to Use the Power Rule
- How to Use the Product Rule
- How to Find an Antiderivative
- How to Evaluate a Definite Integral
- How to Evaluate a Limit by Substitution
- How to Evaluate a Limit by Rationalizing
- How to Find a Limit at Infinity
- How to Use the Quotient Rule
- How to Integrate a Polynomial
- How to Use the Chain Rule
- How to Evaluate the Definite Integral of a Sum
- How to Evaluate a Limit by Factoring the Numerator
- How to Integrate a Square Root
- How to Find the Second Derivative
Statistics
Statistics hub- How to Find the Mean
- How to Find the Median
- How to Find the Range of a Data Set
- How to Find the Probability of a Simple Event
- Find the Probability of Two Independent Events
- How to Find the Probability of a Dice Sum
- How to Find the Probability of the Complement
- How to Find the Probability of Drawing a Heart
- How to Find the Mode of a Data Set
- How to Find a Missing Value from the Mean
- How to Find the Probability of a Sum Less Than 5
- How to Find the Mean from a Frequency Table
- How to Find the Probability of Drawing a Face Card
- How to Find the Range with Negative Numbers
- How to Find the Midrange