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Lesson: Writing and Evaluating Polynomial Expressions

Question Video: Using Algebraic Expressions to Describe an Area

02:01

Worksheet: Writing and Evaluating Polynomial Expressions • 15 Questions

Q1:

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

  • A
  • B
  • C
  • D
  • E

Q2:

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

Q3:

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

Q4:

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

  • A
  • B
  • C
  • D
  • E

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 total area of the rectangle.

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

Q7:

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

  • A
  • B
  • C
  • D

Q8:

What is the total shaded area in the figure below?

  • A
  • B
  • C
  • D

Q9:

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

  • A
  • B
  • C
  • D
  • E

Q10:

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?

  • A , $12
  • B , $12
  • C , $54
  • D , $138
  • E , $63

Q11:

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?

  • A , $42
  • B , $42
  • C , $74
  • D , $138
  • E , $48

Q12:

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.

  • A , $181.5
  • B , $339
  • C , $174
  • D , $294
  • E , $181.5

Q13:

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 , $162.5
  • B , $349.5
  • C , $154
  • D , $264.5
  • E , $162.5

Q14:

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 , 988 weeks
  • B , 1 040 weeks
  • C , 71 weeks
  • D , 70 weeks
  • E , 936 weeks

Q15:

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.

  • A , 576 oz
  • B , 592 oz
  • C , 52 oz
  • D , 51 oz
  • E , 560 oz
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