Karnaugh Maps

By Patrick Hoppe

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

Simplifying Algebraic Expressions: Addition & Subtraction

By Allen Reed, Douglas Jensen

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

Gear Ratio Concepts

By James Bourassa

In this animated object, learners examine the concept of gear ratios. The number of teeth, diameters, and velocity relationships are discussed and calculated using linear ratio equations. A quiz completes the activity.

Multiplying Monomials

By Roy Peterson

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

Solving Equations: Properties of Equality

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

Complete the Square

By Cynthia Sanvidge

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

Simplifying Algebraic Expressions: Division

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

A Visual Approach To Simplifying Radicals

By Kevin Ritzman

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

Simplifying Square Roots

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

Factoring by the Difference of Two Perfect Squares

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

Excel: Entering a Complex Number

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

Fundamental Laws of Algebra

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.

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."

The TI-83 Plus Calculator: Using the LOG Function

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

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.

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.

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."

Excel: Complex Addition

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

Statics: Resultant Calculations via Graphical Method

By Steve Whitmoyer

In this interactive learning object, students calculate a resultant of multiple forces acting in a concurrent, coplanar condition.

Excel: Determining the Square Root of a Complex Number

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

Finding the Lowest Common Denominator for Algebraic Fractions

In this interactive and animated object, learners follow instructions for finding the lowest common denominator for a group of algebraic fractions. Immediate feedback is provided. This activity has audio content.

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.

Determinant of the Third Order

In this learning activity you'll evaluate the determinant of a 3 X 3 matrix.

An Introduction to Algebraic Word Problems

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

An Algebraic Word Problem Involving Motion: Case 1

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