Question

Evaluate the expression 3(7 + 4)2 − 14 ÷ 7. (5 points)

50

361

363

586

Do not just give me the answer, walk me through it. I am literally so shallow minded when it comes to Algebra and I am trying really hard to understand it.

Answer 1

3(7 + 4)2 − 14 ÷ 7

First do the parenthesis

7 + 4 = 11

so the question looks like: 3(11)2 - 14/7

Then multiply 3, 11, and 2 together

3 x 11 x 2 = 66

66 - 14/7

14/7 equals to 2

66 - 2

Then just simplify

66 - 2 = 64

64 is your answer

hope this helps

Answer 2

I am assuming that (7 + 4)2 means (7 + 4)^2. The 2 is an exponent.

You must follow the correct order of operations.
PEMDAS
P - parentheses first
E - then Exponents
MD - then Multiplications and Divisions in the order they appear from left to right
AS - then Additions and Subtractions in the order they appear from left to right

3(7 + 4)^2 − 14 ÷ 7

Parentheses first:
3(11)^2 - 14 ÷ 7

Now the exponent:
3(121) - 14 ÷ 7

Now multiplications and division from left to right:
363 - 2

Finally additions and subtractions from left to right:
361