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

Recall the Distributive Property.

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!