audio read-through Identifying Quadratic Equations

For this web exercise, you need to fully understand what terms are. So, you may want to check these out:

DEFINITION quadratic equation
Let $\,a\,,$ $\,b\,$ and $\,c\,$ be real numbers, with $\,a\ne 0\,.$   A quadratic equation is an equation of the form:
$$ax^2 + bx + c = 0$$

Important notes about the definition:

So, to check if an equation is a quadratic equation, you want to make two passes through it (both sides):

Examples

In this exercise, you will practice identifying quadratic equations.

Question: Is $\,x^2 = x + 4\,$ a quadratic equation?
Solution: Does it have an $\,x^2\,$ term? Check! Anything other than $\,x\,$ terms or constant terms? Nope. Check! YES, it is a quadratic equation.
Question: Is $\,3x - 4 = x + 1\,$ a quadratic equation?
Solution: Does it have an $\,x^2\,$ term? Nope. So, it's not a quadratic equation.
Question: Is $\,x - 2x^2 = 1 + x^5\,$ a quadratic equation?
Solution: Does it have an $\,x^2\,$ term? Check! Anything other than $\,x\,$ terms or constant terms? Oops. Quadratic equations are not allowed to have an $\,x^5\,$ term. So, it's not a quadratic equation.

Practice

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