Rational and Radical Equations for Algebra from Elevated Math

The 16 lessons in this group provide initial instruction or intervention for the introduction of rational and radical equations.

In the first four lessons rational expressions are introduced and simplified, operations are performed with rational expressions, and common factors are divided out to solve rational expressions.
The four lessons of this module are:
A15.1 Finding Restricted Values of a Rational Expression
A15.2 Simplifying Rational Expressions
A15.3 Multiplying and Dividing Rational Expressions
A15.4 Adding and Subtracting Rational Expressions

The next four lessons provide instruction on solving rational equations. Rational equations are used to solve work problems and uniform motion problems, and can be used to solve many other types of problems in areas such as physics.
A16.1 Solving Rational Equations
A16.2 Solving Problems Using Direct Variation
A16.3 Solving Problems Using Inverse Variation
A16.4 Solving Various Types of Problems Using Rational Equations

The next four lessons focus on simplifying radical expressions. Students learn to simplify radical expressions by removing any perfect square (cube) factors from the radical and combining like terms. They also remove radicals from the denominator of a fraction. Once radicals are simplified, students can add, subtract, multiply and divide the expressions.
A17.1 Simplifying Radicals
A17.2 Adding and Subtracting Radicals
A17.3 Multiplying Radicals
A17.4 Dividing Radicals

After simplifying radical expressions, students move to the next four lessons to solve radical expressions where they learn to solve both radical equations and problems that use distance and midpoint formulas. Understanding of these formulas is critical for success in analytic geometry and trigonometry.
A18.1 Solving One-Step Radical Equations
A18.2 Solving Multi-Step Radical Equations
A18.3 Solving Problems Using Radical Equations
A18.4 Solving Problems Using the Distance and Midpoint Formulas

Student print materials and Teachers Notes are available for download at www.elevatedmath.com.

Download the free Elevated Math app to view two complimentary lessons or buy the lessons individually.