Lesson Worksheet: Polynomial Expressions Mathematics

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.

• A
• B
• C
• D
• E

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.

• A
• B
• C
• D
• E

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.

• A
• B
• C
• D

Q7:

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

• A
• B
• C
• D
• E

Q8:

What is the total shaded area in the figure below?

• A
• B
• C
• D

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.

• A,
• B,
• C,
• D,
• E,

Q11:

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

• A
• B
• C
• D
• E

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