Question

Name

Date
- Sarah received a coupon for 15% off the total purchase price at a shoe store. Let p be the
original price of the purchase. Use the expression p-0.15p for the new price of the purchase.
Write an equivalent expression by combining like terms.

Answer 1

The expression p - 0.15p represents the new price of the purchase after the 15% discount has been applied. To simplify this expression by combining like terms, we can factor out p:

p - 0.15p = p(1 - 0.15)

Simplifying the expression in parentheses, we get:

p(0.85)

Therefore, an equivalent expression that combines like terms is:

0.85p

This represents the new price of the purchase after the 15% discount has been applied.