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Mathematics 7 Online
OpenStudy (mlgpro):

Simplify. 2x − 2y + 5z − 2x − y + 3z

OpenStudy (mlgpro):

Choices are a. x − 3y + 8z b. 2x − 2y + 8z c. 3y + 8z d. −3y + 8z

OpenStudy (mlgpro):

@Michele_Laino

OpenStudy (phi):

look at just the terms with "x" in them 2x -2x what is 2x take away 2x ?

OpenStudy (mlgpro):

0

OpenStudy (phi):

yes. in other words, the answer will *not* have an "x" in it so you can cross off those choices that have an x

OpenStudy (phi):

to get the full answer, now look at the y's -2y - y how many negative y's do we have ?

OpenStudy (mlgpro):

3 technically speaking c. 3y + 8z d. −3y + 8z

OpenStudy (phi):

-2y-y is -3y so the answer has a -3y in it

OpenStudy (mlgpro):

okay so c. 3y + 8z d. −3y + 8z its d right and please stay i need more help

OpenStudy (mlgpro):

im in middle school taking algebra honours

OpenStudy (mlgpro):

Shelly and Terrence completed a different number of tasks in a game. Shelly earned 90 points on each task. Terrence's total points were 20 less than Shelly's total. The expression below shows Terrence's total points in the game: 90x − 20 What does the factor x of the first term of the expression represent? A. The total number of tasks Terrence completed B. The total number of tasks Shelly completed C. The sum of Shelly's and Terrence's total points D. The difference between Shelly's and Terrence's total points

OpenStudy (phi):

focus on 90 points on each task if you did 1 task, you get 90 2 tasks you get 2*90 (= 180) 3 tasks you get 3*90 etc

OpenStudy (michele_laino):

hint: \(90x\) is the total of Shelly

OpenStudy (mlgpro):

what about the 20

OpenStudy (phi):

they did not ask about the 20 but they tell you Terrence's total points were 20 less than Shelly's total so you figure out Shelley's points and subtract 20 to get Terrence's

OpenStudy (mlgpro):

so x is how many tasks shelly completed

OpenStudy (phi):

The question is "what does the 'x' represent?" yes, x is the (unknown) number of tasks shelly did

OpenStudy (mlgpro):

thanks i may need more help so stay please

OpenStudy (phi):

and the way we know that is we expect to see 90* number of tasks (because we are told 90 points on each task and we know we should multiply the 90 times the number of tasks to get the total) we then match up what we expect 90 * number of tasks with the 90x part of 90x-20 to decide x is the number of tasks

OpenStudy (mlgpro):

Evaluate the following expression using the values given: Find 2r^2 + 3s^3 − r^2 + 4t^2 − r^2. if r = −2, s = −3, and t = 5. A.−19 B.−37 C.27 D.19

OpenStudy (mlgpro):

oh thanks

OpenStudy (phi):

replace the letters with their number and simplify the only trick part is if you have a negative number, so use parens for example r^2 becomes \[ (-2)^2 \] and that means -2*-2 which is 4

OpenStudy (mlgpro):

okay 2(2)^2 + 3(-3)^3 − 2^2 + 4(5)^2 − (2)^2

OpenStudy (phi):

yes, but I thought r was -2 not +2

OpenStudy (mlgpro):

-2^2=4 tho

OpenStudy (phi):

also, doing that way gets the correct answer, but notice (looking only at the r^2 terms) you have 2r^2 - r^2 -r^2 and that simplifies to 0 so we could ignore doing those terms if you have a - b^2 that means a - b*b in your problem - r^2 means - (-2)*(-2) = - 4

OpenStudy (mlgpro):

-4 is not a choice

OpenStudy (mlgpro):

-2^2=4

OpenStudy (phi):

You are doing Find 2r^2 + 3s^3 − r^2 + 4t^2 − r^2. if r = −2, s = −3, and t = 5. the fastest way to do this is notice 2r^2 - r^2 - r^2 is what ?

OpenStudy (mlgpro):

2^-2

OpenStudy (phi):

you have 2 r^2 and take away an r^2 then take away another r^2

OpenStudy (mlgpro):

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OpenStudy (phi):

|dw:1454591287441:dw|

OpenStudy (mlgpro):

0

OpenStudy (phi):

yes, that means after you simplify the r^2 stuff you are left with 3s^3 +4t^2 with s= -3 and t=5 replace s with (-3) and t with (5) to get \[ 3 (-3)^3 + 4(5)^2 \] now simplify, remember order of operations, exponents before multiply

OpenStudy (mlgpro):

-81+100=19

OpenStudy (phi):

yes

OpenStudy (phi):

if you keep the original equation 2r^2 + 3s^3 − r^2 + 4t^2 − r^2. if r = −2, s = −3, and t = 5 you should get the same answer (but with more work)

OpenStudy (mlgpro):

okay 2x^2 − 2z^4 + y^2 − x^2 + z^4 if x = −4, y = 3, and z = 2

OpenStudy (phi):

First, can you simplify a little ?

OpenStudy (mlgpro):

yes 32-32+9-16+16

OpenStudy (mlgpro):

=9??????????

OpenStudy (phi):

yes, but you could have first simplified by noticing you have 2x^2 - x^2 and that is x^2 also -2z^4 +z^4 is -z^4 so the problem simplifies to x^2 + y^2 -z^4

OpenStudy (phi):

then you put in -4 for x , 3 for y and 2 for z to get 16+9-16 and that becomes 9

OpenStudy (mlgpro):

yay almost done

OpenStudy (phi):

you should make a new post.

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