Question

ACT PREP Q NEED HELP:

Answer 1

its A

Answer 2

@123666 how do I explain that???

Answer 3

I got B

I plugged in 2 numbers that would work
A=2 and b=1 and plugged in to see which have the highest answer

Answer 4

try multiplying them all out

Answer 5

I need to explain it and all of its steps and I'm not sure how to do that

Answer 6

@peachpi @Utterly_Confuzzled

Answer 7

multiply the first two out

Answer 8

ok

Answer 9

and then what?

Answer 10

Work

2(1+2) = 6
(1+2)^2 = 9
2^2 + 1^2 = 5
2^2 - 1^2 = 3

Answer 11

then compare them. what did you get?

Answer 12

*when you multiplied

Answer 13

they are the same except one is multiplying by 2 and the other is multiplying by ^2

Answer 14

Would something like
"I found 2 numbers that worked with the criteria I was given and plugged them into each answer choice to see which one gave me the largest answer" work?? Or does it have to be step by step?

Answer 15

they are not the same.
the first one is multiplied by 2. Distribute the 2.
The second is raised to the power of 2. \((a + b)² = (a + b)(a + b)\). You can FOIL that

Answer 16

Step by step Im pretty sure

Answer 17

One is multiplying by 2 and the other is squaring the answer. It makes a big difference

Answer 18

yep! I see now how you got that.

Answer 19

i didn't mean they ARE the same i meant they LOOK the same exceptt for that

Answer 20

tbh @Utterly_Confuzzled strategy is what you would want to use on the actual ACT

Answer 21

yeah, true. ok! So thats basically how I would solve the problem???

Answer 22

what @Utterly_Confuzzled said ? And it is B?

Answer 23

yeah. Is plugging in numbers what you're looking for in the way of an explanation.

Answer 24

Yes it's B

And I think they meant finding two numbers that work and just plugging them in

Answer 25

Okay! Thanks to both of you

Answer 26

the only thing I'd suggest with plugging in numbers is to not use 1 or 0. In this case it works out, but they can be wonky depending on the scenario

Answer 27

okay, but what utterly said should be sufficient?? In explaining my answer?

Answer 28

I guess.

Answer 29

@peachpi is right, it's normally safest not to use 0 or 1

And I believe it should suffice.

Answer 30

Its for a grade but its ACT prep...

Answer 31

are you looking for an algebraic explanation, or a "this is how I would solve the problem" explanation

Answer 32

@peachpi this is how Id solve the problem

Answer 33

yeah just plug in numbers

Answer 34

sounds good?

Answer 35

yes

Answer 36

ok- thanks again for your help:-)

Answer 37

well you want to say you plugged them into all four options and B was the highest

Answer 38

okay. Thanks, that helped!

Answer 39

np