MAT:Quadratic Formula (Digital Worksheet)
Interactive Practice
What is a quadratic equation
In algebra, a quadratic equation is any equation having the form ...
$$ax^2+bx+c=0$$
... where x represents an unknown, and a, b, and c represent known numbers such that a is not equal to 0. If a = 0, then the equation is linear, not quadratic. The numbers a, b, and c are the coefficients of the equation, and may be distinguished by calling them, respectively, the quadratic coefficient, the linear coefficient and the constant.
Solving the quadratic equation
A quadratic equation with real or complex coefficients has two solutions, called roots. These two solutions may or may not be distinct, and they may or may not be real. Completing the square can be used to derive a general formula for solving quadratic equations, called the quadratic formula.
$$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$
Instructions
This digital worksheet is an interactive with multiple tries quiz. After submitting an answer, and reading the feedback with hints, you can click on [Try again] button and try a new response. Since this a practice, you also have multiple attempts with the final grade calculated based on the highest attempt. Since quadratic equations generally have two solutions, you will only have to enter one solution. Then check your work to see if your second solution is also correct.
Please do your work on a separate piece of paper and number the question and work for each problem. If you have errors please check the feedback and hints to examine your work to check where the mistakes originated. Reflect on the paper what you learned.
Grading method: Highest grade