Applying Binomials: Real-Life Word Problems for 8th Grade

A rectangle has a length of (x + 3) meters and a width of (x - 2) meters. Write an expression for the area of the rectangle and simplify it.

• x^2 + x - 6

• x^2 - x + 6

• x^2 + 5

• 2x + 1

If a box has a volume represented by the expression (x + 5)(x - 1) cubic meters, what is the volume when x = 2?

• 7

• 10

• 6

• 8

A garden is shaped like a rectangle with a length of (2x + 4) meters and a width of (x + 1) meters. What is the perimeter of the garden in terms of x?

• 6x + 10

• 6x + 12

• 8x + 10

• 4x + 8

The cost of a ticket to a concert is represented by the expression (3x + 10) dollars. If x represents the number of tickets sold, how much money is made from selling 4 tickets?

• 15 dollars

• 22 dollars

• 30 dollars

• 40 dollars

A school is planning to build a new playground. The area of the playground is represented by the expression (x^2 + 6x + 8) square meters. What are the dimensions of the playground if it can be factored?

• (x + 2) meters and (x + 4) meters

• (x + 3) meters and (x + 5) meters

• (x + 1) meters and (x + 8) meters

• (x + 2) meters and (x + 6) meters

A car rental company charges a base fee of (x + 20) dollars plus (2x) dollars per day. Write an expression for the total cost of renting a car for d days and simplify it.

• x + 2d

• 2xd + 20

• x + 20d

• 2xd + x + 20

The length of a piece of wood is (x + 7) feet and the width is (x - 3) feet. What is the expression for the perimeter of the piece of wood?

• 3x + 4 feet

• 2x + 10 feet

• 5x - 6 feet

• 4x + 8 feet

A farmer has a field that can be represented by the expression (x^2 - 4) acres. If he wants to divide the field into two equal parts, what will be the area of each part?

• (x^2 - 4) / 2 acres

• (x^2 - 4) acres

• (x^2 + 4) / 2 acres

• (x^2 - 8) acres

A recipe calls for (x + 2) cups of flour and (x - 1) cups of sugar. Write an expression for the total amount of ingredients needed and simplify it.

• 2x - 1

• x + 1

• 2x + 1

• 3x + 1

A rectangular pool has a length of (x + 10) meters and a width of (x - 5) meters. What is the expression for the area of the pool, and what is the area when x = 6?

• 12 square meters

• 25 square meters

• 30 square meters

• 16 square meters