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.

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.

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."

Simplifying Algebraic Fractions that Contain Addition and/or Subtraction

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 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."

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.

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.