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Jayden used the following steps to simplify the given expression.


-3 + 2(2 + x + 3)


Step 1: = -3 + 2(x + 2 + 3)
Step 2: = -3 + 2(x + 5)
Step 3: = -3 + 2x + 10
Step 4: = 2x + (-3) + 10
Step 5: = 2x + 7

What property of real numbers was used in step 3?
A)distributive property
B)associative property of addition
C)commutative property of addition
D)associative property of multiplication

User Uzyn
by
7.2k points

2 Answers

4 votes
A) distributive property I think
User Michael Niemand
by
8.4k points
5 votes

Answer:

Option A -distributive property

Explanation:

Given : expression -3 + 2(2 + x + 3)

Step 1: = -3 + 2(x + 2 + 3)

Step 2: = -3 + 2(x + 5)

Step 3: = -3 + 2x + 10

Step 4: = 2x + (-3) + 10

Step 5: = 2x + 7

In step 3 distributive property is applied i.e. c(a+b)=ca+cb

in step 2- 2(x+5) when we apply distributive property it became

2x+10

Therefore, option A is correct


User Frank Kotler
by
8.2k points

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