Question

Choose the two equations you would use to solve the absolute value equation below. Then solve the two equations.

|x – 7| = 12


A.
x + 7 = –12 and x + 7 = 12; {–19, 5}
B.
x + 7 = –12 and x + 7 = 12; {–19, 19}
C.
x – 7 = 12 and x – 7 = –12; {19, –5}
D.
x – 7 = 12 and x – 7 = –12; {–19, 19}

Answer 1

hint: if |x| = k, then x = k or x = -k where k is some positive number

Answer 2

example

if |x| = 3, then x = 3 or x = -3

Answer 3

|a+b| = c Solved as a +b = c and a +b = -c

Answer 4

Is it A?

Answer 5

Similar Example (just with different numbers)

if

|x-19| = 4

then

x-19 = 4 or x-19 = -4

Answer 6

from there, you solve each equation for x

Answer 7

Thanks

Answer 8

Did you check your answers by plugging them back in the equation?

Answer 9

Yes the answers A

Answer 10

unfortunately that is incorrect

Answer 11

How?

Answer 12

Notice how |x – 7| = 12 has a minus between the x and 7

Answer 13

but choice A has a plus between the x and 7

Answer 14

So its C

Answer 15

|x-7| = 12 to solve we would say
x-7 = 12 and x -7 = -12 solve for x for both equations

Answer 16

much better

Answer 17

Yes

Answer 18

Yay :D lol thanks