4. Which algebraic phrase corresponds to this statement: Five times the sum of twice a number and -4?
(A) 5(2N)-4
(B) 10(N+4)
(C) 5(2N-4)
(D) 5[2(
A?
sum of twice a number and -4 ---> 2N - 4
now 5 times that ---> 5(2N - 4)
Why were you guessing?
To determine the algebraic expression that corresponds to the given statement, it's important to break down the statement step by step and translate it into mathematical symbols.
The statement is: "Five times the sum of twice a number and -4."
Step 1: Let's break down the statement into smaller parts:
- "Twice a number" can be represented as 2N, where N is the unknown number.
- "The sum of twice a number and -4" can be represented as (2N - 4).
Step 2: The next part of the statement is "Five times the sum."
- "Five times" can be represented as 5.
- "The sum of twice a number and -4" is (2N - 4).
Putting everything together, the algebraic expression becomes:
5(2N - 4)
Now, let's look at the given options:
(A) 5(2N)-4 doesn't have the correct parenthesis placement.
(B) 10(N+4) doesn't address the "twice a number" part (2N).
(C) 5(2N-4) matches the expression we derived. This is the correct answer.
(D) 5[2( doesn't have the correct closing parenthesis.
Therefore, the correct answer is (C) 5(2N-4).