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 cm2 of a triangle of height cm and base cm.
- A cm2
- B cm2
- C cm2
- D cm2
- E cm2
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