Fundamental Laws of Algebra

By Allen Reed, Douglas Jensen

Learners review the fundamental laws of algebra including the commutative law of addition, the commutative law of multiplication, the associative law of addition, the associative law of multiplication, and the distributive law. Examples are given.

Factoring by the Difference of Two Perfect Squares

By Roy Peterson

In this learning activity you'll factor problems using the difference of two perfect squares.

Multiplying Monomials

In this learning activity you'll identify and calculate the multiplication of monomials.

Factoring a Quadratic Trinomial

In this learning activity you'll factor an algebraic expression of the form AX(Squared) + BX + C using the FOIL technique.

Karnaugh Maps

By Patrick Hoppe

Learners examine the Karnaugh map for a three-variable system. Several examples are given.

Solving Equations: Properties of Equality

In this interactive object, learners examine the properties of equality and use those properties to solve simple equations.

Simplifying Square Roots

In this learning activity you'll simplify square roots involving the product of a numeric and variable term.

Simplifying Algebraic Expressions: Addition & Subtraction

Learners read definitions of the terminology associated with algebraic operations and then follow steps to simplify algebraic expressions.

Complete the Square

By Cynthia Sanvidge

In this learning activity you'll practice calculating quadratic equations using the 'completing the square' method.

An Algebraic Word Problem Involving Motion: Case 1

By Kevin Ritzman

In this animated and interactive object, learners use an algebraic formula to solve a problem involving distance, rate, and time.

Simplifying Algebraic Fractions that Contain Addition and/or Subtraction

By Jim Cihak

In this interactive object, learners follow step-by-step instructions for reducing algebraic fractions, which contain addition and/or subtraction, to their simplest form. This activity has audio content.

Solving Equations that Contain Algebraic Fractions

Learners use the lowest common denominator to simplify and then solve equations with algebraic fractions. Immediate feedback is provided. This animated object has audio content.

Gear Ratio Concepts (Screencast)

By James Bourassa

In this screencast, learners examine the concept of gear ratios. The number of teeth, diameters, and velocity relationships are discussed and calculated using linear ratio equations.

Simplifying Algebraic Expressions: Multiplication

Learners read definitions of the terminology associated with algebraic operations and then follow steps to use the fundamental laws of multiplication to simplify algebraic expressions.

Simplifying Algebraic Fractions that Contain No Addition or Subtraction

In this highly interactive and animated object, learners follow a step-by-step process to reduce algebraic fractions, which contain no addition or subtraction, to their simplest, most elementary form. Immediate feedback is provided. This activity has audio content.

Slope and Intercept on Graphing Calculators

By Ron Keys

The learner reads directions for finding the slope, intercept, and correlation coefficient for a group of ordered pairs using one of eight different scientific calculators.

Excel: Entering a Complex Number

Learners examine the complex number function to convert real and imaginary coefficients into a complex number.

An Algebraic Word Problem Involving Motion: Case 2

In this animated object, learners use an algebraic formula to solve the following problem: An airplane travels a certain distance with the wind in the same amount of time that it takes to travel a shorter distance against the wind. Given a constant wind speed, what is the speed of the plane without a wind?

The TI-83 Plus Calculator: Using the LOG Function

Students follow the correct keystrokes to calculate the logarithm of a number.

Excel: Determining the Square Root of a Complex Number

Learners view the steps for determining the square root of a complex number in Excel.

Joint Variation

By Terry Lark

In this learning activity you'll practice calculating a joint variation problem.

Identifying the Number of Significant Digits

By Ron Wallberg

Learners will identify the number of significant digits in practice problems.

Solving Systems of Linear Equations Using the Addition or Subtraction Method

In a series of practice problems, learners use the addition or subtraction method to solve systems of linear equations, also called "simultaneous linear equations."

Solving Systems of Linear Equations Using the Substitution Method

In a series of practice problems, learners use the substitution method to solve systems of linear equations, also called "simultaneous linear equations."

Numerical Curiosities: Part 4

By Jeganathan Sriskandarajah

In this fourth part in a series, learners follow the steps of the “mathemagician” to examine three numerical curiosities: Be a Psychic by Predicting Birthdays, Predict a Card with Mind Reading, and Predict the Three Die Values Your Opponent Has Rolled. Learners will also study palindromic numbers and look at two alphametric puzzles.