Select the expressions that are equivalent to 12n – 8. Select all that apply.
A. 3n + 4 + 3n + 4 + 4n
B. 11n + 4 + n –12
C. 6(6n – 2)
D. 4(3n – 2)
E. 4n + 22 – 12 + 8n

Answer:

B and D

Step-by-step explanation:

B= 4(3n-2)

D=12n-8 which equals 4(3n-2)

Option B 11n + 4 + n –12 and D 4(3n – 2) are the expressions that are equivalent to 12n-8.

Those expressions that might look different but their simplified forms are the same expressions are called equivalent expressions. To derive equivalent expressions of some expressions, we can either make it look more complex or simple. Usually, we simplify it.

We are given an expression as; 12n – 8.

A. 3n + 4 + 3n + 4 + 4n

= 3n+3n+4n+4+4

=10n+8

B. 11n + 4 + n –12

=11n+n+4-12

=12n-8

C. 6(6n – 2)

=36n-12

D. 4(3n – 2)

=12n-8

E. 4n + 22 – 12 + 8n

=4n+8n+22-12

=12n+10

Therefore, Option B 11n + 4 + n –12 and D 4(3n – 2) are the expressions that are equivalent to 12n-8.

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