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

**Q5: **

Write an expression for the total area of the rectangle.

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

**Q8: **

What is the total shaded area in the figure below?

- A
- B
- C
- D

**Q9: **

Amira 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 , $63
- B , $54
- C , $138
- D , $12
- E , $12

**Q10: **

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

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

**Q11: **

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

**Q12: **

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 , 560 oz
- B , 52 oz
- C , 51 oz
- D , 576 oz
- E , 592 oz

**Q13: **

Write an expression for the product of the cube of and the difference between and 7, all decreased by 2.

- A
- B
- C
- D
- E

**Q14: **

Express the following as an algebraic expression: the difference between a number and 0.6, decreased by the same number raised to the fifth power.

- A
- B
- C
- D
- E

**Q15: **

Write an expression for the cube of a number .

- A
- B
- C
- D
- E

**Q16: **

Write an expression for the area in
cm^{2}
of a triangle of height
cm
and base
cm.

- A
cm
^{2} - B
cm
^{2} - C
cm
^{2} - D
cm
^{2} - E
cm
^{2}

**Q17: **

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 ,

**Q18: **

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

- A
- B
- C
- D
- E

**Q19: **

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

- A cm
- B cm
- C cm
- D cm

**Q21: **

Write an expression for the total area of the rectangle.

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

**Q22: **

Amira 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 , $48
- B , $74
- C , $138
- D , $42
- E , $42