Question

Which expressions are equivalent to the expression below:
4(x + 3) - 10 + 6x

by doing so tell which ones are equivalent anc which ones are not

options:

10x + 2

-2x - 7

2(5x + 1)

2(8x + 1)

4x + 3 - 10 + 6x

4x + 12 - 10 + 6x

Answer 1

can the original expression be marked as equivalent?

Answer 2

The original expression is: 4(x + 3) - 10 + 6x

Let's simplify it:

4(x + 3) - 10 + 6x
= 4x + 12 - 10 + 6x
= 10x + 2

So the equivalent expressions are:
1. 10x + 2

Now let's check the other options:

2. -2x - 7
This is not equivalent.

3. 2(5x + 1)
This simplifies to 10x + 2, which is equivalent.

4. 2(8x + 1)
This simplifies to 16x + 2, which is not equivalent.

5. 4x + 3 - 10 + 6x
This is the original expression.

6. 4x + 12 - 10 + 6x
This is the original expression.

Answer 3

Yes, the original expression "4(x + 3) - 10 + 6x" can be considered equivalent to itself, since it simplifies to the same expression without any change. So, the original expression can also be marked as equivalent.