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
Accepted Solution
A:
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