Question

25. Justify Reasoning Determine whether 3x + 12 + x is equivalent to

4(3 + x). Use properties of operations to justify your answer.

Answer 1

Answer: always true

Explanation:

3x + 12 + x= 4x +12

4(3 + x)= 12 + 4x

4x + 12= 4x + 12

Answer 2

Hey there!

SOLVING for 3x + 12 + x

3x + 12 + x

= 3x + 12 + 1x

COMBINE the LIKE TERMS

= (3x + 1x) + (12)

= 3x + 1x + 12

= 4x + 12

SOLVING for 4(3 + x)

4(3 + x)

DISTRIBUTE 4 WITHIN PARENTHESES

= 4(3) + 4(x)

= 12 + 4x

= 4x + 12

Thus, this statement is: TRUE

THEY ARE BOTH EQUIVALENT TO EACH OTHER

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)