Question

algebraic expressions review for test
name: kylie mcintyre

1. write 2 equivalent expressions for 12x - 8. one expression should include the distributive property.

Explanation:

Step1: Find GCF of 12 and 8

The greatest common factor (GCF) of 12 and 8 is 4, since $12 = 4\times3$ and $8 = 4\times2$.

Step2: Apply distributive property

Using the distributive property $a(b - c)=ab - ac$, we can factor out 4 from $12x - 8$. So, $12x - 8 = 4(3x - 2)$.
Another equivalent expression can be obtained by rearranging terms or performing other operations, for example, $12x - 8 = 8 + 12x - 16$ (but the one with distributive property is $4(3x - 2)$).

Answer:

One equivalent expression using the distributive property is $4(3x - 2)$ (and another could be, for example, $12x - 4 - 4$).