Question

Below are the steps to solve an equation:
Step 1: |x - 4| + 1 = 8
Step 2: |x - 4| = 8 - 1
Step 3: |x - 4| = 7

Which of the following is a correct next step to solve the equation?


x - 4 = -7
x + 4 = -7
-x - 4 = 7
x + 4 = 7

Answer 1

if |a| = b
then

a= b or a = -b

if
|x-4| =7
then which 2 equation can you form ?

Answer 2

7-4=x maybe?

Answer 3

@hartnn

Answer 4

let me give you an example :)

if
|y+9| = 10

then
y+9 = 10
or
y+9 = -10

so for |x-4| =7
what would it be ?

Answer 5

x-4=-7 or x-4=7

Answer 6

@hartnn

Answer 7

that is correct!
so which option ?

Answer 8

x+4=7

Answer 9

D

Answer 10

nopes

x-4 cannot change to x+4

see the first option

x-4 = -7 :)

Answer 11

ohhh :) A then thanks sooooo much

Answer 12

can you help with one more ??

Answer 13

welcome ^_^
ans sure :)

Answer 14

The table shows the solution to the equation |2x - 3| - 1 = 2:

Step 1 |2x - 3| = 2 + 1
Step 2 |2x - 3| = 3
Step 3 2x - 3 = 3 or 2x + 3 = 3
Step 4 2x = 6 or 2x = 0
Step 5 x = 3 or x = 0


Which is the first incorrect step?


Step 1
Step 3
Step 5
Solution is correct

Answer 15

after |2x - 3| = 3

we get

2x-3 =3 or 2x-3 = -3

Answer 16

but step 3 shows something different

Answer 17

soo step 3 is incorrect then right?

Answer 18

yes!

Answer 19

thats the first incorrect one then yayy :D thanks

Answer 20

up for one more lol this is because I am trying to figure out all of these different concepts the teacher has introduced in multiple different assignments makes it confusing @hartnn

Answer 21

ask in a different thread :)
so that others can help u too!