Word Problems with Quadratic Equations – Practice Problems

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Do you need help? Watch the Video Lesson for this Practice Problem. Word Problems with Quadratic Equations

There are many ways to solve quadratic equations. You can factor them, complete the square, graph them, and use the quadratic formula, for instance.

At least one of these methods can be used to solve any problem involving a quadratic equation, and which method you choose depends on the kind of problem you are presented with.

If the quadratic equation can be represented by mapping or a table, then graphing can do the trick. If the quadratic equation is factorable, then factoring, of course, and completing the square are good choices. When the quadratic equation has coefficients that are real numbers, like decimals, fractions, or maybe even radicals, then using the quadratic formula is highly recommended.

One must note though that these problems often look for concrete answers, like units of measurement or quantity. A negative root, though a valid solution to a quadratic equation, may not be the answer that a word problem is looking for. A positive root, or possibly roots, then is the more appropriate final answer.

Analyze Functions Using Different Representations.

CCSS.MATH.CONTENT.HSF.IF.C.8.A

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Exercises in this Practice Problem
Explain how to solve a quadratic equation by factoring.
Determine how to solve quadratic equations graphically.
Determine how to solve quadratic equations by completing the square.
Calculate where the castle ditches have to be built by using the quadratic formula.
Name the methods for solving quadratic equations.
Solve the following quadratic equations.