Question

a student received a coupon for 20% off the total purchase price at a clothing store. let x 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.
x - 0.2x
x - 0.2x = \square

Explanation:

Step1: Identify like terms

The expression is \( x - 0.2x \). Here, \( x \) can be thought of as \( 1x \), so we have \( 1x - 0.2x \).

Step2: Combine like terms

Using the distributive property \( ax - bx=(a - b)x \), where \( a = 1 \) and \( b = 0.2 \). So \( 1 - 0.2 = 0.8 \), thus \( x - 0.2x = 0.8x \).

Answer:

\( 0.8x \)