Question

Which is the best answers ?

Answer 1

@Vocaloid

Answer 2

as usual the "given" box is the statement already given in the problem

so step 1 = 7(x-2) = x + 16

step 2: how did they get from 7(x-2) to 7x - 14? which property?

Answer 3

distributive property

Answer 4

awesome

step 3 is just adding 14 to each side, which property is this?

Answer 5

addition property

Answer 6

good

step 4 is simplifying

so which choice do you get after simplifying 7x - 14 + 14 = x + 16 + 14?

Answer 7

7x = x + 30

Answer 8

awesome

step 5: they are subtracting x from both sides so which property is this?

Answer 9

subtraction property

Answer 10

good

for 6: i don't agree with their reason (substitution property?) but the next logical step should be 6x = 30 so that's the best solution for step 6

Answer 11

step 7: they take 6x = 30 and divide both sides by 6, which property is this?

Answer 12

division property

Answer 13

awesome

and the last step is just to ~simplify~ the expression into x = 5 so simplify is the best choice

Answer 14

so let's recap:

Answer 15

step 1: 7(x-2) = x + 16
2: distributive
3: addition
4: 7x = x + 30
5: subtraction
6: 6x = 30
7: division
8: simplifying

Answer 16

statement 1 is the given, as usual -3(x+8) = -21

statement 2: they are dividing both sides by -3 so which property is this?

Answer 17

division property

Answer 18

good

step 3 is just simplifying step 2 so what do you get after the division?

Answer 19

x + 8 = 7

Answer 20

awesome

step 4 is subtracting 8 from both sides so what choice is this?

Answer 21

subtraction property

Answer 22

good

so to recap:

1: -3(x+8) = -21
2: division
3: x + 8 = 7
4: subtraction

Answer 23

just had to correct a small typo

Answer 24

that's correct ?

Answer 25

yes

Answer 26

thank you for all your help Vocaloid