Question

Solve for x: 1/8 (8x + 15) = 24 (5 points)
Select one:
a. 9
b. 49
c. 177/8
d. 207/8

Answer 1

notice how the whole (8x+15) is being multiplied by (1/8)

any ideas how we would "undo" this and "eliminate" the 1/8?

Answer 2

ummm. nr

Answer 3

so to "undo" it we would do the opposite of multiplying by (1/8)

so you would divide each side of the equation by 1/8

Answer 4

can you try taking the equation

1/8 (8x + 15) = 24

and dividing both sides by (1/8)?

Answer 5

i will try

Answer 6

wait, wdym both sides?

Answer 7

when you have an equation like

A = B

the left side is A and the right side is B

Answer 8

oh

Answer 9

so if we asked "divide both sides by (1/8)" we would get

A/(1/8) = B/(1/8)

Answer 10

try to apply this same logic to

1/8 (8x + 15) = 24

Answer 11

so

Answer 12

(1/8)(8x+15)/(1/8) = ?

as a hint, the 1/8 in the numerator and the 1/8 in the denominator cancel out

Answer 13

the final answer would be A

Answer 14

hm not quite

Answer 15

(1/8)(8x+15)/(1/8) = ?

Answer 16

ohhhhhh, 1/8 = 8

Answer 17

notice how the 1/8 in the numerator and denominator cancel out

so (1/8)(8x+15)/(1/8) = 8x + 15

now apply this same logic to the other side of the equation

24/(1/8) = ?

Answer 18

24(1/8)=3

Answer 19

be careful, it's 24 divided by (1/8) not 24 * 1/8

Answer 20

if it helps, 24/(1/8) is the same thing as 24*8

Answer 21

ohhhhh so it would be 192

Answer 22

good

so 8x + 15 = 192

since we have 15 added to 8x, we can do the opposite of adding 15 to isolate 8x

, what's the opposite of adding 15?

Answer 23

subtracting 15

Answer 24

good so take

8x + 15 = 192

and subtract 15 from both sides

Answer 25

courage @caira12 this is easy now

Answer 26

final answer is 177/8

Answer 27

good