Chapter 1
Algebra
Course: Sat Prep
Subject: Math
Chapter: Advanced Math
By the end of this lesson, you will be able to:
- Simplify rational expressions by factoring and reducing common factors.
- Solve rational equations while identifying restrictions on the variable.
- Solve absolute value equations using algebraic methods.
- Recognize and eliminate extraneous solutions.
- Solve nonlinear equations involving radicals, powers, and rational expressions.
- Rewrite equivalent rational and absolute value expressions.
Rational expressions, absolute value equations, and nonlinear equations are concepts require careful algebraic manipulation, logical reasoning, and attention to restrictions that may affect the validity of solutions. Unlike linear equations, nonlinear equations often involve fractions, radicals, powers, or absolute values, making them more challenging to solve.
Rational Expressions
A rational expression is an algebraic fraction in which the numerator, denominator, or both are polynomials.
The general form of a rational expression is