Question

Write an algebraic expression for the phrase.

4 times the sum of q and p

A) 4(q + p)
B) 4q + p
C) 4 + q + p
D) 4qp

Answer 1

The answer is A

?Because you first need the sum within parenthases and then multiply that by 4

Answer 2

A) 4(q + p)

Explanation:

When you have to create algebraic expressions from phrases, the best idea to do so is to break it into pieces, first we have to solve, the sum of q and p, we would express that with this alebraic expression:

(q+p) this is the sum of q and p.

Now you need this four times, you can either sum them up four times, or multiply it by four, so we´ll do the later.

To express any number four times, you just multiply it by four, likes this:

"Four times the value of a numer"

4 times* "x"

Now you just add the 4 to the sum of q and p:

4(q+p)

And that´s how you express algebraically "4 times the sum of q and p".