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.

Nine friends went to an amusement park. The cost of each ticket was . The given table shows the prices of snacks and beverages at the park. Four of them bought a large pretzel and a bottle of water each. The remaining five did not buy anything. Write an expression that represents the total cost of tickets and snacks or beverages, and then simplify it.

Snack or Beverage	Large popcorn	Large pretzel	Small soda	Bottle of water
Price

Five friends went to an amusement park. The cost of each ticket was . The given table shows the prices of snacks and beverages at the park. Two of them bought a small soda and a large popcorn each. The remaining three did not buy anything. Write an expression that represents the total cost of tickets and snacks or beverages, and then simplify it.

Snack or Beverage	Large popcorn	Large pretzel	Small soda	Bottle of water
Price

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?

Dennis and Mary went on a road trip, and they had $2 667. If they spend $110 each day, determine an expression that represents how much money they would have after days on the road. Then, determine how much money they would have if .

Chris and Rose went on a road trip, and they had $2 694. If they spend $132 each day, determine an expression that represents how much money they would have after days on the road. Then, determine how much money they would have if .

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.

A car rental charges $25 a day in addition to $0.15 per mile Write an expression that represents the cost of renting a car for one day to drive miles, and then determine the rental cost of a car after covering 46 miles.

A car rental charges $55 a day in addition to $0.03 per mile Write an expression that represents the cost of renting a car for one day to drive miles, and then determine the rental cost of a car after covering 47 miles.

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.