Question

How do i simplify the following expression:
6(p - 6) + 9p

Answer 1

Distribute to get

6(p - 6) + 9p


6p - 36 + 9p

what's next?

Answer 2

6(p-6)+9p
= 6p - 36 +9p
= 15p -36

Answer 3

How did you get 36

Answer 4

i multiplied the 6 outside the parenthesis by the -6 inside the parenthesis

Answer 5

how do i do the same with :
0.1t+4.4v-2.7t

Answer 6

no need to distribute, just need to combine like terms this time

Answer 7

0.1t - 2.7t = ???

Answer 8

i dont know a -2.6

Answer 9

so -2.7t

which means

0.1t+4.4v-2.7t

simplifies to

-2.6t+4.4v

Answer 10

i need help with about 11 more problems i thought it was -2.6

Answer 11

no there's a 't' at the end

Answer 12

i know but you put -2.7t not -2.6t

Answer 13

it starts out with -2.7t, but you combine it with 0.1t

Answer 14

0.1t - 2.7t = -2.6t

Answer 15

oo

Answer 16

oh my bad, i know what you're saying...lol yeah i did, i meant to say -2.6t

Answer 17

no prob
so it is 2.6t +4.4v

Answer 18

-2.6t + 4.4v

Answer 19

ok next problem:
1/2(20m + 40)+ 1/2m

Answer 20

distribute first, what do you get?

Answer 21

ok what does distribute mean?

Answer 22

take the 1/2 to the left of the parenthesis and multiply it with everything inside the parenthesis

Answer 23

1/2 times 20m = 10m

1/2 times 40 = 20

Answer 24

so after distributing, you get

10m + 20 + 1/2m

Answer 25

so it would be .5 * 40

Answer 26

you can write it like that (since 1/2 = 0.5)

Answer 27

do i add the two products

Answer 28

only if they are like terms

Answer 29

i got:
10.5m + 20

Answer 30

good, you got it

if you want to convert that to fraction form (you don't have to since your answer is just fine), you'll get

\[\Large \frac{21}{2}m+20\]

Answer 31

next problem:
13/4x+ 1/8 - 1/2x+ 3/4

Answer 32

combine 13/4x and -1/2x, what do you get?

Answer 33

I would keep things as fractions, but you can convert to decimals if you want

Answer 34

that is a subtraction sign before 1/2x

Answer 35

yes

Answer 36

so

13/4x minus 1/2x

Answer 37

but there is a addition sign after 13/4x

Answer 38

well you're not adding 1/8 to 13/4x though (since they aren't like terms)

Answer 39

i got :
30/8

Answer 40

\[\Large \frac{13}{4}x-\frac{1}{2}x\]

\[\Large \frac{13}{4}x-\frac{2}{4}x\]

\[\Large \frac{13-2}{4}x\]

\[\Large \frac{11}{4}x\]

Answer 41

So \[\Large \frac{13}{4}x-\frac{1}{2}x\] combines to \[\Large \frac{11}{4}x\]

Answer 42

oo i added

Answer 43

i see, stick with the sign that's directly in front of the 1/2 (which is a - sign)

Answer 44

ok wats the next step

Answer 45

combine 1/8 and 3/4

Answer 46

after this i only have one more question for understanding

Answer 47

i got 7/8

Answer 48

wat do i do with the multiplication sign

Answer 49

good, so

\[\Large \frac{13}{4}x+\frac{1}{8}-\frac{1}{2}x+\frac{3}{4}\]

simplifies to

\[\Large \frac{11}{4}x+\frac{7}{8}\]

Answer 50

never mind i got confused about the multiplication sign\

Answer 51

thanxs for all

Answer 52

yw