Question

Match each equation in the left column with its solution in the right column.

Term:
1. 8(x + 5) = 48
2. 5(2x – 3) = 5
3. 4(x – 8) = 4
4. 3(3x + 1) = 30

Definition:
A) x = 1
B) x = 3
C) x = 2
D) x = 9

~Please help and explain if you can. I just can't seem to wrap my head around how to do it.~

Answer 1

Just solve each equation and then match

Answer 2

That's my problem. I can never get the equation right. I always mess up somewhere in the process.

Answer 3

Or substitute each answer instead of x for example:
8(1+5)=48 8+40=48
So x=1
and so on

Answer 4

Okay.. So how does (1+5) become 40? That's the part I don't understand.

Answer 5

Since you have bracket like this: 8(1+5)
You multiply the 8 with the numbers in the bracket
8*1=8 and 8*5=40
So since you have the numbers 8 and 40 which are both positive you will get+8+40 which is equal to +48

Answer 6

Consider this rule so it can help you:
\[a(b+c)=ab+ac\]

Answer 7

You just the multiply the outside number with the numbers in the bracket
Till here did you understand?

Answer 8

Oh. Okay that makes since. Can you help me with second one? Just so I can make sure I've got it?

Answer 9

OK

Answer 10

We will try solving x

Answer 11

The equation is: 5(2x – 3) = 5

Answer 12

Ok so try to get rid of the brackets as I showed you before.

Answer 13

Ok. Don't I have to move the X first though?

Answer 14

No
Just multiply the outside number with the numbers and variables in the bracket
Consider also this rule:\[a(bx+c)=abx+ac\]

Answer 15

No way that I try to do It is right :/

Answer 16

OK, Calm down I will help you

Answer 17

OK 5*2x=?

Answer 18

And 5 multiply with -3 is equal to -15

Answer 19

So you have 10x-15=5
Now try solving it

Answer 20

OH! So you multiply 5 by 2, x, and negative 3?

Answer 21

yes

Answer 22

x=2?

Answer 23

yes

Answer 24

Thank you!

Answer 25

And just to make sure. 4(x – 8) = 4 is D and 3(3x + 1) = 30 is B? Correct?

Answer 26

If you have solved any equation, you should replace your answer with the variable and perform the calculations to get it.

For example replace the 2 you have got with x and try calculating it and if you get 5 which is the answer:5(2(2)-3)=5 then that means that you have solved the equation correctly.

Your welcome