Equivalent Expressions

A student received a coupon for 43​%

off the total purchase price at a clothing store. Let b

be the original price of the purchase. Use the expression below for the new price of the purchase. Write an equivalent expression by combining like terms.

• 57b

• .43b

• 1.43b

• 0.57b

The area of a rectangular outdoor stage has been extended on one side. The entire new area in square meters can be written as 216+12x.

Factor the expression to find the dimensions of the extended stage.

• 18 + x by 12

• 12 + x by 18

• 18 by x

• 12 by x

An art teacher made a copy of a small painting. To make the painting easier to​ see, the teacher enlarged the area of the painting by 38​%. Let d represent the area of the original painting. Which expression below is one way to represent the area of the new painting.

• .62d

• .38d

• 1.38d

• 138d

Estimation  The manager of a store increases the price of a popular product by 5​%. Let t be the original price of the product. Write an equivalent expression by combining like terms

• 0.95t

• 0.05t

• 1.05t

• 105t

Writing  A farmer recently sold a large plot of land. The sale decreased his total acreage by 12​%. Let v be the original acreage.

• .88v

• 1.12v

• 112v

• .12v

Ellena is considering a venue for a party. Let g represent the number of​ Ellena's guests. Each venue charges a booking fee plus a cost per guest. Ellena wrote the expression ​(62+​35g)−​(56+​27g) to represent the difference in cost of one venue over the other.

• 62g + 118

• 8g + 6

• 8g + 118

• 62g + 6

Cole orders 4 bags of salted potato​ chips, 3 bags of sour cream and chive potato​ chips, and 2 bags of barbecue potato chips. Cole finds the cost using the expression 4x+3x+​2x, where x is the cost of one bag of chips.

• 9x

• 24x

• 3x + 9

• 3x + 24

Alice is building a​ fenced-in pen in her backyard for her ​dog, as shown. Write an expression that represents the total amount of fencing she will​ need, in feet.

• 4x + 26

• 26x

• 2x + 13

• 15

An art exhibit is made up of four​ panels, each with the same height. The width of each panel is shown. Write an expression for the total area in terms of the​ height, h. If each panel is 10 ft​ tall, what is the total area of the​ exhibit?

• 20

• 30

• 200

• 2000

A customer at a craft store is buying a blank canvas and a set of brushes. He has a coupon valid for​ 35% off all​ canvases. Let c represent the original price of the canvas and b represent the price of the set of brushes. Which expression/s represent the situation. Mark All That Apply

• 0.35b + c

• 0.35c + b

• 0.65c + b

• c − 0.35c + b

• c + 0.65c − b