Analyze 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 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

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

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

• A

• B

• C

• D

• 2

• 4

• 8

Which is equivalent?

• ¼(x)

• 4x

• Neither

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

Which expression is equivalent to 7a + a + 8 + 3b + 4 + 9b

• 8a + 12b + 12

• 12a + 8b + 12

• 8a + 12

• 32ab