3.1.1-3.2.2: Equivalent Expressions and Equations

Front

What is an equivalent expression?

Back

An equivalent expression is an expression that has the same value as another expression for all values of the variable(s) involved.

Front

Back

Front

Back

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

Back

x = -2, x = -rac{1}{2}

Front

What is the importance of excluding values in rational expressions?

Back

Excluding values prevents division by zero, which is undefined in mathematics.

Front

Back

x = 2 and x = -5

Front

Back

x = 4 and x = -7

Front

What is a rational expression?

Back

A rational expression is a fraction where the numerator and the denominator are both polynomials.

Front

What is the process of simplifying a rational expression?

Back

The process involves factoring the numerator and denominator and then canceling out any common factors.