Worksheet: Writing and Evaluating Polynomial Expressions

Write, in the simplest form, an expression that represents the perimeter of the given triangle.

The figure below shows a rectangle whose length is 7 cm and width is cm. If its perimeter is cm, write a formula for in terms of and find the perimeter when is 4 cm.

The figure below shows a rectangle whose length is 3 cm and width is cm. If its perimeter is cm, write a formula for in terms of and find the perimeter when is 2 cm.

Find an expression for the area of the shaded region in the figure below.

Write an expression for the total area of the rectangle.

Write an expression for the total area of the rectangle.

Write an expression for the area of the shaded region in the shape below.

What is the total shaded area in the figure below?

Find an expression for the area of the shape shown below.

Sophia received $75 on her birthday to buy a gift. She bought three new pairs of pants for dollars each. Write an expression to represent the amount of money she has left. Given that each pair costs $21, how much money does she have left?

Sophia received $90 on her birthday to buy a gift. She bought three new pairs of pants for dollars each. Write an expression to represent the amount of money she has left. Given that each pair costs $16, how much money does she have left?

An online art store sells paint brushes for $12 each and oil colors for $10 each and charges $7.5 per order for shipping. Denoting the number paint brushes by and that of oil colors by , write an expression that represents the total cost, and then calculate the cost of one order of 7 brushes and 9 oil colors.

An online art store sells paint brushes for $13 each and oil colors for $10 each and charges $8.5 per order for shipping. Denoting the number paint brushes by and that of oil colors by , write an expression that represents the total cost, and then calculate the cost of one order of 8 brushes and 5 oil colors.

Knowing that a year consists of 52 weeks, make a table to find the algebraic expression that relates the number of weeks to the number of years . If the Greens have been living in a neighborhood for 19 years, determine that duration in weeks.

A farmer harvested 36 pounds of cotton this year. Given that there are 16 ounces in 1 pound, determine, by making a table, the algebraic expression that relates the number of ounces to that of pounds, and find how many ounces of cotton the farmer harvested.