Day 8 - 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.

b - 0.43b

• 1.43b

• 0.57b

• b + 0.57b

• b - 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 48 +12x.

Factor the expression to find the dimensions of the extended stage. (Remember to use the GCF)

The factored expression, using the GCF, is....

.

• 12 + 3x

• 24 + 6x

• x + 4

• 60x

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.

The expression below is one way to represent the area of the new painting.

d + 0.38d

Find two equivalent expressions that would give the area of the new painting.

• 1.38d

• 0.38d

• 138d

• d(1 + 0.38)

• d + 38d

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

Find two equivalent expressions that will give the new acreage.

• v - 0.12v

• v - 12v

• 0.88 - 0.12v

• 0.88v

• 0.12v

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.

Which a more efficient way to use an expression to work out the cost.

• Cole can use the expression ​(3 + 2)x + 4x

• Cole can use the expression 9x.

• Cole can use the expression ​(4+3)x + 2x

• Cole can use the expression x+x+x+x+x+x+x+x+x.