Question

Write an equivalent expression in simplest form for each given expression. Then, choose the answer that explains why the expressions are equivalent.
(A) 2y + 4(y + 1) = y +

First use the Property to simplify the expression in parentheses, then
combine like terms.

(B) 9y + 6 + 2(5 + y) = y +

After applying the Distributive Property, use the Properties to
combine like terms.

Answer 1

The equivalent expressions are 6y + 4 and 11y + 16

How to determine the equivalent expressions?

Expression (A)

We have:

2y + 4(y + 1)

Open the bracket

2y + 4y + 4

Evaluate the like terms

6y + 4

Expression (B)

We have:

9y + 6 + 2(5 + y)

Open the bracket

9y + 6 + 10 + 2y

Evaluate the like terms

11y + 16

Hence, the equivalent expressions are 6y + 4 and 11y + 16

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