# Polynomial Word Problems Worksheets

How to Solve Polynomial Word Problems? Solving word problems is more than understanding what the words mean in a problem. It's about understanding what context those words exhibit. However, when you understand polynomials in the form of word problems, things can get a bit complicated. However, it's nothing you can’t solve! Let’s discuss how we can solve them. First of all, we must understand that there are different kinds of word problems. Those who will only ask you to add or subtract are quite straightforward, with some unknown variables to keep in mind. However, there are other kinds of word problems that have shapes involved in them, thus making it easier for us to solve them. Let us consider an example: Jacob has a rectangular garden of area 3x - 5 feet by 2x + 8 feet. He decided to place a fence around the perimeter of the garden. Now, if the per foot price of the fence is \$5, what is the cost of the total fencing? The next step is to figure out how to use these variables. For instance, in this scenario, the total fencing of the garden is the perimeter around the garden. The last step is to create a problem to find out the perimeter and then the cost of fencing. Perimeter of a rectangle= 2b + 2h, Perimeter of a rectangle= 2(2x + 8) + 2(3x - 5), Perimeter of a rectangle= 4x + 16 + 6x - 10, Perimeter of a rectangle=10x + 6. Now, to find the total cost of the fencing, where we will multiply 5 with the perimeter. Cost of fencing=2(10x + 6), Cost of fencing=50x + 30.

• ### Basic Lesson

Demonstrates general rules of Polynomial Word Problems. A circular courtyard has an area of 4 – 2x2. There are two rectangular flowerbeds 2x2, 3x2 in the courtyard. Find the expression for green lawn area.

• ### Intermediate Lesson

Explores how to break a word problem down into parts and outline it. Your school is ordering computer equipment. If c represent the cost of one personal computer and p is the cost of one printer. Write an expression for the total cost of 12 computers and 5 printers.

• ### Independent Practice 1

Example: Jolly gives Nancy a 30 meter head start. After t seconds, Nancy is a distance 6t + 30 from the starting line and Jolly is a distance of 7t from the starting line. How far ahead of Jolly is Nancy after t seconds? The answers can be found below.

• ### Independent Practice 2

Features another 20 Polynomial Word problems.

• ### Homework Worksheet

Polynomial Word problems for students to work on at home. Example problems are provided and explained.

• ### Topic Quiz

10 Polynomial Word problems. A math scoring matrix is included.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.

• ### Lesson and Practice Answer Key

Answers for both lessons and both practice sheets.

#### Did you know...

Did you know that if you took one billion decimals of pi and printed them in ordinary type, they would stretch from New York City, to the middle of Kansas? Wow!