Pearson Algebra 1 Common Core, 2011
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Pearson Algebra 1 Common Core, 2011 View details
7. The Distributive Property
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Exercise 66 Page 50

To simplify, distribute the 4 to the terms inside the parentheses.

Phrase: 4 times the sum of d and 7
Simplified Expression: 4d+28

Practice makes perfect

We will start by writing a phrase for the expression, then simplify it.

Phrase

Let's start from the left. We have a factor 4, that is multiplied by the expression inside the parentheses. Let's write this. 4 times...

Now we will look at what is inside the parentheses. We see that there is an addition sign, which means we have a sum of two terms. These two terms are d and 7. Now we can write the final phrase. 4 & (d+7) 4 times & the sum of d and 7

Simplifying

To simplify the expression we have to distribute the 4.
4(d+7)
4(d) + 4(7)
4d + 28
The expression simplifies to 4d + 28.