Question Rewrite the expression $7(5k + 5m - 4)$ using the distributive property.

Studdy Solution

STEP 1

Assumptions
1. We are given the expression $7(5k + 5m - 4)$ .
2. We need to use the distributive property to write an equivalent expression.
3. The distributive property states that $a(b + c) = ab + ac$ for any numbers $a$ , $b$ , and $c$ .

STEP 2

Apply the distributive property to the given expression. This means we will multiply each term inside the parentheses by 7.
$7(5k + 5m - 4) = 7 \cdot 5k + 7 \cdot 5m + 7 \cdot (-4)$

STEP 3

Multiply each term by 7.
$7 \cdot 5k = 35k$ $7 \cdot 5m = 35m$ $7 \cdot (-4) = -28$

STEP 4

Combine the results to write the equivalent expression.
$35k + 35m - 28$
The equivalent expression using the distributive property is $35k + 35m - 28$ .

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms