Bellringer Quiz

Enrique is planning on building a wood deck in his backyard. He uses the function g(x) = (x + 4)(2x - 3) to represent the area of the wood deck. Enrique will cut a square section out of the deck with side length x - 2 to plant a tree. Create a function f(x) to represent how many square feet Enrique’s wood deck is after the square section is cut out.

An expression is shown. (3.7p + 12.5) − (1.2p − 2.4) Enter the difference using the fewest number of terms possible.

A city is building a new library. The library is rectangular and measures 300 feet (ft) by 150 ft. A concrete sidewalk w ft wide will be added around the entire library, as shown. The city will decide how wide to make the sidewalk based on the price of the concrete. Create an equation for A, the area of the sidewalk, in square feet.

An expression is shown. (17x^2 + 24) - (4x - 2)(3x + 10). Enter values to create an equivalent expression.

Which expression is equivalent to $ (5x^2 + 13.2x - 15) + (4.8x - 7.7) $?

• $ 0.3x^2 $

• $ 23x^2 - 22.7 $

• $ 5x^2 + 18x - 22.7 $

• $ 9.8x^2 + 5.5x - 15 $

Jonah makes wooden rectangular tabletops. The length of each tabletop is always 10 inches greater than the width. Create an equation to model the area, A, of a tabletop with a width of w inches.

A group of x friends evenly split the cost of a game system and some games. Each game costs the same amount and they buy one game for each friend. The expression shown represents the total amount each friend pays. What does the term 50x represent in the expression?

• the cost of each game

• the total cost of the games

• the cost of the game system

• the total cost of the game system and the games

Water is added to a tank at a constant rate per hour, and it is also drained at a different constant rate per hour. The number of gallons of water in the tank after h hours is given by the expression shown. 618 + 13h - 7h Which statement describes the meaning of “7” in this expression?

• the rate, in gallons per hour, that the water amount increases due to the adding

• the rate, in gallons per hour, that the water amount decreases due to the adding

• the rate, in gallons per hour, that the water amount increases due to the draining

• the rate, in gallons per hour, that the water amount decreases due to the draining

A laundromat charges $1.25 for the first 45 minutes of dryer usage and $0.25 for each additional 15 minutes. An expression modeling the total cost is shown: 1.25 + 0.25x. What does the x represent?

• total cost of dryer usage

• number of minutes of dryer usage

• number of additional 15 minutes purchased

• total cost of additional 15 minutes purchased

A walkway with a width of w feet surrounds a rectangular garden. The combined area of the walkway and the garden is represented by the expression shown. w² + 25w + 150 What does 150 represent in this situation?

• the width of the garden in feet

• the length of the walkway in feet

• the area of the garden in square feet

• the area of the walkway in square feet