Question

Simplify: –4(x – 5) + 3(a – 7)

A.
–4x + 3a – 1

B.
–4x + 3a – 41

C.
–4x + 3a + 1

D.
–4x + 3a + 41

Answer 1

Distribute

Answer 2

.. o.0

Answer 3

–4(x – 5) + 3(a – 7)

You have to "distribute" the -4 into the (x+5) and the 3 into the (a-7)
The distribute property states that a(x+y)=ax+by. For example, 9(1+2)=(9)(1)+(9)(2)
Or, 6(5+x)=(6)(5)+(6)(x).

Answer 4

um..I still don't get it but ok '.'

Answer 5

–4(x – 5) + 3(a – 7)
they mean make it look like this
(-4 * x) + (-4 * -20) + (3 * a) + (3*-7)

Answer 6

Do I add that?

Answer 7

I don't know how to explain it
well multiply everything inside of the parentheses
example
2(b + 6)
2b + 12
see what I did there?

Answer 8

ya

Answer 9

Do the same thing with –4(x – 5) + 3(a – 7)
-4x + 20 then do the same with the other one [3(a - 7)]

Answer 10

ok

Answer 11

would it be 21a - 7..?

Answer 12

so [-4(x -5)] + [3(a-7)] and you'll get the answer. If you still don't get it i'll walk you through it some more

Answer 13

Would it be B..?

Answer 14

-4x + 3a – 41

let's see
[-4(x -5)] + [3(a-7)]
-4x + 20 + 3a - 21
add like terms, you tell me, is it?

Answer 15

if you look closely at 20 and - 21, it would not equal -41. So.. No, it is not B

Answer 16

oh

Answer 17

you got the (-)(+) signs mixed up

Answer 18

when you multiply a - by a - it turns into a positive

Answer 19

in this case, you got -20 - 21 right? try it as 20 - 21

Answer 20

1 so it's either A or C right?

Answer 21

is 20 - 21 a positive?

Answer 22

yes..I believe it is, is the 21 a -21 or are they both positive?

Answer 23

it is a -21.
20 - 21 is a negative. since there is more of 21 than there is 20 it is -1

Answer 24

ohh ok, I was confused at first whether it was a positive or negative but now I get it :)

Answer 25

Nice job Jadey~

Answer 26

Hm, \(\ \sf \Large a(b + c) \rightarrow a(b) + a(b) = ab + ac \)



\(\ \sf \Large \color{blue}{–4}(\color{orange}{x} –\color{yellowgreen}{5}) \longrightarrow \color{blue}{–4}(\color{orange}{x}) = \color{red}{(-4x)}\)

and

\(\ \sf \Large \color{blue}{–4}(–\color{yellowgreen}{5}) = \color{brown}{(20)}\)


\(\ \sf \Large \color{purple}{+3}(\color{aqua}{a} –\color{pink}{7}) \longrightarrow \color{purple}{3}(\color{aqua}{a}) = (3a)\) ~ and ~ \(\ \sf \Large \color{purple}{3}(–\color{pink}{7}) = (-21) \)


\(\ \sf \Large \color{red}{(-4x)} + \color{brown}{(20)} + 3a + (-21) = 3a -4x -1\)

Answer 27

X_X Typo ;_;