Check the solution to "How do you simplify 4a+7+2a?"

High School
Algebra
Pre-Algebra
Equations, expressions, and inequalitie

zei3s4pf2l

Answered question

2022-02-05

How do you simplify

4 a + 7 + 2 a

Answer & Explanation

ljmolerovae

Beginner2022-02-06Added 15 answers

Consider money for a moment. I am English so I am going to use £
Suppose you had 4 lots of £5 notes in your wallet. You then added a further 2 lots of £5 notes. The total lots of £5 would be

4 + 2

.
Ok, we are using the letter a but the same principle applies.
So we have

(4 a + 2 a) + 7

This is the same as

6 a + 7

The actual value of a does not matter for this action. All you are doing is counting how many of a you have got.

Heidy Prince

Beginner2022-02-07Added 15 answers

Combine 4a and 2a to get 6a.
$\frac{d}{d a} (6 + 7)$
The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of $a x^{n} is n a x^{n - 1}$ .
$6 a^{1 - 1}$
Subtract 1 from 1.
$6 a^{0}$
For any term t except 0, $t^{0} = 1$ .
$6 \times 1$
For any term t, $t \times 1 = t and 1 t = t$ .
Hence, 6.

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