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Heart of Algebra Videos 10 videos

PSAT 1.1 Math Diagnostic
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PSAT 1.1 Math Diagnostic. If a rabbit consumes 3 meals a day, how many grams of food will a rabbit consume in 7 days?

PSAT 1.8 Math Diagnostic
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PSAT 1.8 Math Diagnostic. What is one value of x?

PSAT 1.38 Math Diagnostic
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PSAT 1.38 Math Diagnostic. What is f(g(x))?

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PSAT 1.24 Math Diagnostic 200 Views


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Description:

PSAT 1.24 Math Diagnostic. Which of the following is one solution to the system of equations shown above?


Transcript

00:00

Thank you We sneak and here's your smoke du jour

00:05

rock to you by intersections Ifyou're a pedestrian be prepared

00:09

Drivers are going to yell at you that's Why they

00:11

call it a cross walk All right F backs equals

00:15

x squared plus three x plus four g of x

00:17

equals negative for x minus six Which of the following

00:20

is one solution to the system of equations shone above

00:23

and here the answers all right Got points on a

00:25

graph and that nun thing Oh system of equations How

00:29

do we love the let us count the ways one

00:32

uh we're done That was fast Okay so there may

00:35

not be a tunnel love loss when it comes to

00:37

these little fellers but they're really not so bad As

00:39

long as you know howto came them We've got two

00:42

equations and the question wants to know which point if

00:45

any would be a solution While the solution was system

00:47

of equations is always the point or points where the

00:49

equations intersect So we can set these to equal one

00:53

another and then just solve for x So here we

00:55

go that's how they equal each other And now to

00:57

simplify We can add for x to both sides and

01:00

then do the same thing with six to get x

01:01

squared plus seven exposed ten is zero now it's a

01:05

matter of factoring Well since we have seven x in

01:07

the middle of our polynomial we'll need to use five

01:10

times too to get ten there on the end and

01:13

in the end it's gonna factor into the quantity x

01:15

plus five times Quantity x plus two equals zero Now

01:19

we know the equations will intersect at x equals negative

01:21

five and x equals negative to so much negativity Somebody

01:26

turned on nickelodeon Okay from here we can just take

01:29

each of those values and plug him back into either

01:31

equation to find why And remember even though it says

01:34

g a vexing the original equation that's really The same

01:37

thing is why it just likes to play dress up

01:39

Now the negative for x minus six equation looks much

01:42

less likely to bite So we'll go with that one

01:44

Negative four times Negative five His positive twenty So we

01:48

get twenty minus six equals Why so Yeah why equals

01:51

fourteen Which means that one point that will solve this

01:53

System of equations is negative five fourteen which is answer

01:57

a bull's eye If we were to try the same

01:59

thing with native to we'd wind up with the point

02:01

negative to two which looks something like option b but

02:04

ain't quite there So is our final answer Uh finding

02:08

the solution has helped us gain inner peace and will

02:11

ease our road race Excuse us for a second We 00:02:14.08 --> [endTime] see another pedestrian coming

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