Question

Generate an equivalent expression using the Distributive Property.

question one: 6(x + 4)
question two: 2(5 + r)
question three: 11(n + 3)

Answer 1

Explanation:

6(x+4)

Distribute 6 between the terms x and 4 as:

6(x)+6(4)

=6x+24

2(5+r)

Distribute 2 between the terms 5 and r as:

2(5)+2(r)

=10+2r

11(n+3)

Distribute 11 between the terms n and 3 as:

11(n)+11(3)

=11n+33

Answer 2

1. 6(x + 4) can be distributed as 6x + 24.
2. 2(5 + r) can be distributed as 10 + 2r.
3. 11(n + 3) can be distributed as 11n + 33.

Explanation:

The Distributive Property states that multiplying a sum by a number is the same as multiplying each addend in the sum by the number and then adding the products. In each of the given expressions, we can use the Distributive Property to expand the expression by multiplying the coefficient outside the parentheses to each term inside the parentheses, and then adding the resulting products. This results in an equivalent expression that is simplified but has the same value as the original expression.