Question

Which expression is equivalent to x + 8 + 4x + 2x for all values of x? A) 6x + 8 B) 7x + 8 C) 7(x + 8) D) 14x

Answer 1

Hello.

The answer is 

B) 7x + 8

If u combine all the x's there is 7 then you will have to add 8.

Have a nice day

Answer 2

You can use the fact that addition of like terms can be done by doing addition of their coefficients multiplied by the variable thing.

The expression that is equivalent to the given expression is given by

Option B: $7x + 8$

What are like terms?

Those terms which have same variables raised with same powers.

For example, $4t^3$ and $2t^3$ are like terms since variable is same, and it is raised to same power 3.

For example $5xy$ and $2x$ are not like terms as the variables are not all same.

How to find the equivalent expression to the given expression?

Equivalent expressions are those expressions which might not look same but have same value and they can be transformed to their equivalent forms without changing their value.

For example $2 + 3$ and $5$ are equivalent expressions.

Since the given expression is $x + 8 + 4x + 2x$

thus, collecting the like terms will give us the simplified form(it is visible from the options that the questioning party is asking us to simplify the expression so as to write it in short form)

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 $2 \times x = 2x$

(if some variable has no coefficient visible, then we can take its coefficient as 1 since 1 is multiple of every number(and variables placeholder of numbers))

Simplifying the given expression:

$x + 8 + 4x + 2x = 1x + 4x + 2x + 8 = (1 + 4 + 2)x + 8 = 7x + 8$

Thus,

The expression that is equivalent to the given expression is given by

Option B: $7x + 8$

Learn more about equivalent expressions here:

https://brainly.com/question/10628562