Markup and Markdown Algebraic Expressions

The regular price of an item at a store is x dollars. The item is on sale for 15% off. Some of the expressions below represent the sale price, in dollars, of the item.

Which two expressions below represent the sale price, in dollars, of the item?

• 0.15x

• 0.85x

• 1 - 0.15x

• x - 0.15x

• x - 0.85x

At a store, a scarf has a regular price of s dollars. During the sale, the price of the hat is discounted by 30%. The expression 0.7s describes the discounted price, in dollars, of the scarf. Which expression also describes the discounted price, in dollars, of the scarf?

• s - 30

• 0.3s

• s - 0.3s

• s - 0.3

The amount of money in a savings account increased by 37.5% over the last year. If the amount of money at the beginning of the year is represented by y, which expression represents the amount of money in the bank account after the increase?

• y + 37.5y

• y + 0.375y

• 37.5y

• 0.375y

An item with an original price of d dollars is on sale at a 10% discount. Which expression is not equivalent to the price of the item with the discount?

• 0.9d

• 0.1d

• (1.0d - 0.1d)

• (1.0 - 0.1)d

The original selling price of a share of stock was n dollars. The selling price for a share of the same stock at a later date was represented by the expression 2.5(0.92n). Which description could explain what happened to the price of the share of stock?

• The price decreased by 8% and then increased by 150%

• The price decreased by 92% and then increased by 250%

• The price decreased by 8% and then increased by 250%

• The price decreased by 92% and then increased by 150%

The population of a town is expected to increase by 2.7% next year. If p represents the current population, which expression represents the expected population next year?

• p + 0.027

• 1.27p

• 1 + 0.027

• 1.027p

Andrea bought a used car for c dollars. One year later the value of the car was 0.84c. Which expression is another way to describe the change in the value of the car?

• 84% decrease

• 0.84% decrease

• 16% decrease

• 0.16% decrease

Alison bought a vintage car for x dollars. One year later the value of the car was 1.06x. Which expression is another way to describe the change in the value of the car?

• 6% increase

• 106% increase

• 0.06% increase

• 1.06% increase