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Mathematics 12 Online
OpenStudy (anonymous):

math question will give medal

OpenStudy (anonymous):

expand the expression and combine the like terms: 7(-3+5p)+3(-2p-7)

OpenStudy (unklerhaukus):

expanding the first set of parentheses \[7(-3+5p)\quad=\quad7\times-3\quad+\quad7\times 5p\]

OpenStudy (anonymous):

-21 and 35p

OpenStudy (unklerhaukus):

good , now the second set 3(-2p-7) = 3 x -2p + 3 x -7 =

OpenStudy (anonymous):

-6p and -21

OpenStudy (unklerhaukus):

great! so you have expanded the expression 7(-3+5p) + 3(-2p-7) into = -21 + 35p + -6p + -21 = -21 + 35p -6p -21 now combine the like terms

OpenStudy (anonymous):

i forget how combine like terms...

OpenStudy (unklerhaukus):

the terms with one p can be added together, and the constant numbers can add together = -21 + 35p -6p -21 = (35-6)p + (-21-21) =

OpenStudy (anonymous):

29 and -42

OpenStudy (anonymous):

is the asnwer 27p-49?

OpenStudy (unklerhaukus):

so we write = -21 + 35p -6p -21 = (35-6)p + (-21-21) = 29p + -42 = 29p - 42 final answer (you don't have to write the middle two steps above, if you can do these in your head )

OpenStudy (anonymous):

oh okay. i get it i think. can we do another problem?

OpenStudy (unklerhaukus):

ok

OpenStudy (anonymous):

-1+2(2t+4)

OpenStudy (anonymous):

-1+2 2t+4

OpenStudy (unklerhaukus):

so just multiply the 2 in-font of the parenthesis with the terms inside it i can check your working

OpenStudy (unklerhaukus):

, o , is that a fraction?

OpenStudy (anonymous):

no. i gave you wrong question lol -3(-1-t)+2(2t+4)

OpenStudy (unklerhaukus):

oh, ok. well just multiply through the brackets like before

OpenStudy (unklerhaukus):

show me what you get after this step

OpenStudy (anonymous):

-3x-1 am i doing it right so far

OpenStudy (unklerhaukus):

go on

OpenStudy (anonymous):

-t x 2t

OpenStudy (anonymous):

2x4

OpenStudy (unklerhaukus):

try to perform working in lines -3( -1 -t) + 2( 2t +4) = -3 x -1 + -3 x -t + 2 x 2t + 2 x 4 =

OpenStudy (anonymous):

3 + 1t + 8

OpenStudy (anonymous):

what you mean?

OpenStudy (unklerhaukus):

oh wait, -3 x -t = 3t,

OpenStudy (anonymous):

im confused lol

OpenStudy (unklerhaukus):

a negative times a negative equals a positive

OpenStudy (anonymous):

so the answer is -3x-t=3t?

OpenStudy (unklerhaukus):

no, i mean that = -3 x -1 + -3 x -t + 2 x 2t + 2 x 4 = 3 + 3t + 4t +8

OpenStudy (anonymous):

18?

OpenStudy (unklerhaukus):

you can't add terms with a variable ( t in this case) to constants

OpenStudy (anonymous):

so 7t +11

OpenStudy (unklerhaukus):

that's better

OpenStudy (anonymous):

is that the final answer?

OpenStudy (unklerhaukus):

yes, if the question was simplify by expand and combine the like terms

OpenStudy (anonymous):

2(-t-4) - (-2+4t) 2x-t -4 - -2 +4t

OpenStudy (anonymous):

i did it wrong.. 2(-4-t)-(4t-2)

OpenStudy (anonymous):

2x-4 -t x - 4t - 2

OpenStudy (unklerhaukus):

almost 2(-4 -t) - (4t -2) 2x-4 + 2x-t + -1x4t + -1x- 2

OpenStudy (unklerhaukus):

(the negative sign is really a -1 )

OpenStudy (anonymous):

-8 + 2x-t + -4t + 2

OpenStudy (unklerhaukus):

that is right keep going

OpenStudy (anonymous):

wait... how do you do 2x-t + -4t? and -8+2?

OpenStudy (unklerhaukus):

simplify 2 x -t first

OpenStudy (anonymous):

wait how would i do that?

OpenStudy (unklerhaukus):

2 x -t = 2 x -1 x t =

OpenStudy (unklerhaukus):

what is 2 times -1 ?

OpenStudy (anonymous):

-1

OpenStudy (anonymous):

-2*

OpenStudy (unklerhaukus):

so 2 x -t = 2 x -1 x t = -2 x t = -2t

OpenStudy (unklerhaukus):

right?

OpenStudy (anonymous):

yes

OpenStudy (unklerhaukus):

so you have .. = -8 + 2x-t + -4t + 2 = -8 -2t -4t + 2 combine the like terms

OpenStudy (anonymous):

-6 + -6t

OpenStudy (unklerhaukus):

good stuff

OpenStudy (anonymous):

-6-(-8z+10)

OpenStudy (anonymous):

-6 x -1 -8z +10

OpenStudy (anonymous):

6 + 2t

OpenStudy (anonymous):

2z**

OpenStudy (unklerhaukus):

careful -6 - (-8z+10) = -6 - 1x(-8z +10) =

OpenStudy (anonymous):

6+ 2z

OpenStudy (unklerhaukus):

-6 - (-8z+10) = -6 - 1x(-8z +10) = - 6 -1x-8z -1x10 =

OpenStudy (anonymous):

6 + 8z + -10

OpenStudy (unklerhaukus):

how did -6 turn into 6?

OpenStudy (anonymous):

srry that was suppose be a -6

OpenStudy (unklerhaukus):

ok

OpenStudy (anonymous):

-16 + 8z (final answer?

OpenStudy (unklerhaukus):

yep

OpenStudy (anonymous):

5(-4-2q) + 3 (q+7) 5 x -4 -2q+ 3 3 x q q+7

OpenStudy (unklerhaukus):

not quite, you have to multiply the term outside the brackets, by Both terms inside the brackets

OpenStudy (unklerhaukus):

ax(b+c) = axb + axc

OpenStudy (unklerhaukus):

try the expansion of the first bracket again 5(-4-2q) =

OpenStudy (anonymous):

so 5 x -4 and 5 x -2q??

OpenStudy (unklerhaukus):

that's better, now try the second bracket expansing again

OpenStudy (anonymous):

3 x q and 3 x 7

OpenStudy (unklerhaukus):

yeah so now what do you get for 5(-4-2q) + 3 (q+7) =

OpenStudy (anonymous):

-30q + 10

OpenStudy (anonymous):

+10q

OpenStudy (unklerhaukus):

5(-4-2q) + 3 (q+7) = 5 x -4 and 5 x -2q + 3 x q and 3 x 7 = 5 x -4 + 5 x -2q + 3 x q + 3 x 7 =

OpenStudy (anonymous):

-20 + -10q + 21q

OpenStudy (unklerhaukus):

= 5 x -4 + 5 x -2q + 3 x q + 3 x 7 = -20 + -10q + 3 x q + 3 x 7

OpenStudy (anonymous):

-30q + 3xq + -21

OpenStudy (unklerhaukus):

nope, do the multiplication first

OpenStudy (anonymous):

-21q + 30q

OpenStudy (unklerhaukus):

?

OpenStudy (anonymous):

im confused/

OpenStudy (unklerhaukus):

5(-4 -2q) + 3 (q + 7) expanding the brackets = 5 x -4 + 5 x -2q + 3 x q + 3 x 7 carrying out the multiplication = -20 + -10q + ... + ... combine the like terms = simplify =

OpenStudy (anonymous):

3 x q + 3 x 7

OpenStudy (unklerhaukus):

you can simply these multiplications, right?

OpenStudy (anonymous):

yes?

OpenStudy (unklerhaukus):

3 x q is the same as 3q right?

OpenStudy (anonymous):

yes

OpenStudy (unklerhaukus):

3 times 7 is . . .

OpenStudy (anonymous):

21

OpenStudy (unklerhaukus):

= 5 x -4 + 5 x -2q + 3 x q + 3 x 7 carrying out the multiplication = -20 + -10q + 3q + 21 combine the like terms =

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