Question

Instructions:Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Find the missing term and the missing coefficient.

(6a −______)5a =______a^2 − 35a

Answer 1

Some help would be appreciated greatly...

Answer 2

@iGreen

Answer 3

5 * ? = -35

Answer 4

That's the same as:

5x = -35

Divide 5 to both sides, what do you get?

Answer 5

-7 but how did you get to that point?

Answer 6

See the -35a?

We want to multiply 5a to something to get that, and that number is -7.

-7 * 5a = -35a

Answer 7

So 7 goes in the first blank.

Answer 8

Now, you see 6a?

We multiply 5a * 6a, what do you get?

Answer 9

30a?

Answer 10

Close, but remember we also multiply the two variables together.

\(a \times a = a^2\)

So it's actually 30a^2.

So 30 goes in the 2nd blank.

Answer 11

So how did you solve the problem in the beginning. It's just been quite a while for me. I'm sorry.

Answer 12

\((6a -~?)5a =~?a^2 - 35a\)

Okay, we're supposed to distribute 5a into the parenthesis, to do that we multiply it to every term in the parenthesis.

So we multiply 5a * 6a, which gives us 30a^2.

And it also tells us that the result of distributing gives us -35a

So we find out 5a * what = -35a, which is -7.

Answer 13

Understand?

Answer 14

Thank you, yes.