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carlosego
The first thing we must do for this case is to write the expression correctly.
 We have then:
 [tex] \frac{1}{8}x - \frac{1}{2} [/tex]
 From this expression, we must draw common factor.
 In this case, we will do common factor 1/8.
 We have then:
 [tex] \frac{1}{8}(x - 4) [/tex]
 Answer:
 The equivalent expression is given by:
 [tex] \frac{1}{8}(x - 4) [/tex]
 option C

You can use the fact that the value which is outside of the bracket and in multiplication will be distributed to all terms inside with addition or subtraction( this is by distributive property of multiplication over addition).

The expression which is equivalent to the given expression is

[tex]6(3x - 2)\\[/tex]

What are equivalent expressions?

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

The given expression is [tex]18x-12[/tex]

It can be seen that 18 is a multiple of 6 and 12 too is multiple of 6

Thus,

we can write it as

[tex]18x-12 = 6\times 3 \times x - 6 \times 2 = 6 \times(3x - 2) = 6(3x - 2)[/tex] (since when bracket will be opened, the 6 value will distribute inside the bracket to each term joined by either addition or subtraction(which is negative addition).

This expression is obtained by doing operations on given expression which didn't changed its value, so this expression obtained is equivalent to the given expression.

(The given options are not correct, or it might be that the given expression is not written correctly).

Remember that many times, when using letters or symbols, we hide multiplication and write two things which are multiplied, close to each other. As in [tex]2 \times x = 2x[/tex]

Thus,

The expression which is equivalent to the given expression is

[tex]6(3x - 2)\\[/tex]

Learn more about equivalent expressions here:

https://brainly.com/question/10628562

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