Question

1. complete the expressions and select the missing property.
2. write each answer as a number, a variable, or the product of a nu

$4 + 7r + 2$
$=\square + 4 + 2$
$= 7r + \square$

Explanation:

Step1: Apply Commutative Property of Addition

The commutative property of addition states that \(a + b = b + a\). So, we can reorder the terms in \(4 + 7r + 2\) to get \(7r + 4 + 2\). So the first box is \(7r\).

Step2: Combine Like Terms

Now, we combine the constant terms \(4\) and \(2\). \(4 + 2 = 6\). So the second box is \(6\). The property used for combining like terms (after reordering) is the commutative property (for reordering) and then the associative property (for grouping), but since the problem mentions "AMA" (probably a typo for "Associative" or "Commutative and Associative", but from the reordering step, the first property is Commutative of Addition, and then combining like terms. But following the steps, first reorder to \(7r + 4 + 2\) (commutative), then add \(4 + 2 = 6\) to get \(7r + 6\).

Answer:

First box: \(7r\), Second box: \(6\), Property (first step): Commutative Property of Addition, (second step): Combining Like Terms (or Associative Property for grouping constants)