Question

Which statements are true about the expression 7(2w-4)? Check all that apply.

-To simplify, distribute 2w to 7 and 4.
-7(2w) can be rewritten as 14w.
-7(2w-4) can be rewritten as 7(2w)-7(4).
-7(2w-4) can be rewritten as 7(2w)-(4).
-An equivalent expression is 10w
-An equivalent expression is 14w-4
-An equivalent expression is 14w-28

Answer 1

The following are the true statements:

2. 7(2w) can be rewritten as 14w.

3. 7(2w - 4) can be rewritten as 7(2w) - 7(4).

7. An equivalent expression is 14w - 28.

I just took the test

Answer 2

The following are the true statements:
2. 7(2w) can be rewritten as 14w.
3. 7(2w - 4) can be rewritten as 7(2w) - 7(4).
7. An equivalent expression is 14w - 28.

7(2w - 4) can be expanded or simplified by first, drawing a line each from 7 to 2w and from 7 to -4. This will be a reference to you for which you should multiply by. So, 7 has to be multiplied by 2w, and 7 has to be multiplied by -4. Add these 2 multiplications up to give you (7 × 2w) + [7 × (-4)], which is also equal to 7(2w) - 7(4), hence the 3rd statement is right.

The 2nd statement is right because 7(2w) can be rewritten as 7 × 2 × w, which is also 14 × w, or 14w.

The 7th statement is right, since,
7(2w) - 7(4)
= 14w - 7(4)
= 14w - 28

Hope this helps! :)