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

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

In this animated object, learners follow a process for simplifying radicals.

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

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

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.

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

Students view the steps to follow to add complex numbers in Excel.

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

In this animated object, learners follow the steps for solving word problems using algebra. An introductory example is explained.

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

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

In this learning object you'll review direct, inverse, joint, quadratic, and combined variations.

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?

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

In this learning activity you'll practice calculating an inverse variation problem.

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

In this learning activity you'll walk through a direct variation problem.

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

In this learning activity you'll practice two variation application problems.

In this interactive object, part 3 in a series, learners follow the steps of the “mathemagician” to examine four numerical curiosities: What’s Special About 1089, Perfect Squares: 1089 and 9801, The Mathematical Significance of 1776, and The Calculator Number Game. The learner will also study six number patterns and look at one remarkable table. Immediate feedback is provided.

In part 2 of this series, learners follow the steps of the “mathemagician” to examine these numerical curiosities: The 189 Challenge; An Armstrong Number: What’s Special About 153? Is 495 Different or Indifferent? Is 6174 Different or Indifferent? It is always 618, and Beginning and Ending the Same.

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.

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.