Big Ideas Math: Modeling Real Life, Grade 6
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4. The Distributive Property
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Exercise 33 Page 225

B

Practice makes perfect

We are asked to match the given expression with an equivalent expression. First, we will simplify it. To do it, we will use the Distributive Property. We will distribute 3 to the terms inside the parentheses.

\(3(2n+3)\)
\(3(2n)+3(3)\)
\(6n+9\)

Since $6n$ and $9$ are not like terms, the expression cannot be simplified further. Now let's take a look at the possible equivalent expressions.

Option Expression Is It Equivalent to $6n+9?$
A $3(2n+6)$ ?
B $6n+9$ Yes
C $3(2n+8)$ ?
D $6n+12$ No

We found that the expression from option B is equivalent to the given expression!