Question

2 While solving the equation 4(x+2) = 28, Becca
wrote 4x +8 = 28. Which property did she use?
1) distributive
2) associative
3) commutative
4) identity

Answer 1

distributive, if you do 4 times x and 4 times 2 you get 4x+8

Answer 2

The property Becca used is the distributive property. The correct option is 1) distributive

To solve the given equation 4(x+2) = 28

First, we will open the bracket by distributing 4 to x and 2

That is, multiply 4 by x and as well multiply 4 by 2

Therefore,

4(x+2) = 28 becomes

4x + 8 = 28

4 has been distributed to properly.

Hence, the property Becca used is the distributive property. The correct option is 1) distributive

If needed, the complete solution of the equation is

4(x+2) = 28

4x + 8 = 28

Now, subtract 8 from both sides

4x +8 - 8 = 28 - 8

4x = 20

Then,

x = 20 ÷ 4

x = 5

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