3.1.1-3.2.2: Equivalent Expressions and Equations

What are equivalent expressions?

What does it mean to simplify an expression?

What is the importance of excluding values in rational expressions?

State the values of x that must be excluded in the expression $$\frac{(x-3)(x+4)}{x(x-3)}$$ .

How do you solve the equation $$\frac{x^2}{2} + \frac{5}{4}x + \frac{1}{2} = 0$$ ?

What values of x must be excluded in the expression $$\frac{(x+1)(x-4)}{(x-4)(x+7)}$$ ?

How do you simplify the expression $$\frac{4x^2-25}{2x^2-x-10}$$ ?

What values of x must be excluded in the expression $$\frac{2x(x-2)}{(x-2)(x+5)}$$ ?

What is a rational expression?

What does it mean for an equation to have no solution?