Worksheet: Polynomial Expressions

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In this worksheet, we will practice solving word problems through forming and evaluating polynomial expressions using the information provided in the questions.

Q1:

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

Q2:

Express the perimeter of the figure below in terms of .

A length units
B length units
C length units
D length units
E length units

Q3:

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

Q4:

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.

A , 28 cm
B , 22 cm
C , 11 cm
D , 22 cm

Q5:

Write an expression for the total area of the rectangle.

A square units
B square units
C square units
D square units

Q6:

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

Q7:

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

Q8:

What is the total shaded area in the figure below?

Q9:

Write an expression for the area in cm² of a triangle of height cm and base cm.

A cm²
B cm²
C cm²
D cm²
E cm²

Q10:

A square has sides of length . A new square is formed with double the side length. Find the perimeter and area of this new square.

Q11:

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

Q12:

What is the perimeter of a square whose side length is cm?

A cm
B cm
C cm
D cm

Q13:

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.

A , 6 cm
B , 10 cm
C , 5 cm
D , 10 cm

Q14:

Write an expression for the total area of the rectangle.

A square units
B square units
C square units
D square units