# GED Practice Test – 5 Math Practice Questions

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The mathematical reasoning section on the

GED is going to test your ability on solving algebraic equations. Here is an example of

a question that you might have to solve when you take the GED. “If ’10x’ plus two equals

seven, what is the value of ‘2x’?” Well, let’s first start with solving this algebraic equation

of “10x” plus two equals seven. Because if we can figure out what “x” is, then we can

figure out what “2x” is. The first thing we need to do is subtract two from both sides

to get rid of this plus two. So, that leaves us with “10x” equals five. Now to solve for

“x”, we undo the ten times “x” by dividing both sides by ten. Ten divided by ten is one.

So this is “x” equals, and you can simplify five-tenths to a half, or five-tenths. Now

be careful. Because they didn’t ask what is the value of “x”. They didn’t ask you just

to solve for “x”, and they’re expecting you not to pay attention. See this first answer?

They’re expecting you to solve for “x” and go “Oh great there is my answer”. So pay attention

to what they’re asking. They want “2x”, which means two times a half. And two times a half

is one. So, this answer would be C. So, this is something that you’re going to have to

know how to do when you take the GED. The GED will test your knowledge of functions

and patterns. Here is an example of the type of problem you’ll see when you take the GED.

“Which of the following equations satisfies the five sets of numbers shown in the above

table?” You could start by seeing if you can figure out the pattern. Meaning, what do you

do to “x” to get “y”. So, just starting with the first set, you could multiply negative

two times two to get negative four. But it doesn’t work on your next set of numbers.

Three times two is not thirty-one. You could also subtract two from negative two to get

negative four. But you can’t subtract two from three to get thirty-one. So, it may be

more difficult to find the pattern in the table. Luckily though, you have options. Since

you have multiple-choice options, you can use these answer choices to test them against

your table of values. That’s the way we’re going to approach this problem. Let’s start

with the first answer. “y” equals “2x” squared plus seven. Now we just need to pick one set

of numbers to substitute into this equation to test and see if that, if this equation

does satisfy our set of numbers. So, let’s just take two and twelve. You could pick any

set you wanted, but I usually like to pick one that looks a little easier, like two and

twelve. The “y” is twelve, so replace “y” with twelve. We’re checking to see if it equals

two times the “x”, which is two, squared plus seven. Now it’s really important that you

follow the order of operations when simplifying this right side. And there’s a cute little

way to remember the order of operations which you may have heard, and that is PEMDAS. The

P stands for parenthesis. The E stands for exponents. The M stands for multiplication,

I’ll just use the times dot. The D stands for division. The A stands for addition. And

the S stands for subtraction. So, that’s the order that we have to simplify expressions.

On this equation, we’re going to start then with our exponents. Because, even though you

see parenthesis there, that’s not actually what that P means. What is actually

means is grouping symbols, and we have nothing grouped inside the parenthesis. So in this

case, the parenthesis are actually just a multiplication sign. So, we start right here

with two squared. And we have does twelve equal two times four plus seven. Now we have

multiplication and addition. Multiplication comes before addition. So, does twelve equal

eight plus seven? And lastly, we add and we see that twelve does not equal fifteen, which

means this is not our answer. Because that equation does not satisfy our set of numbers.

Now let’s try B; “y” equals “x” cubed plus four. So that was A, let’s try B. And we can

just use the same “x” and “y”. So, I’m going to replace the “y” again with twelve, and

replace the “x” again with two. Follow your order of operations, which means exponents

first. Two cubed is two times itself three times. So, two times two times two, which

is eight. And again we are checking to see if these are equal. Eight plus four is twelve.

So, twelve equals twelve. That doesn’t necessarily mean that that’s our answer though. Just because

it worked on one set of numbers, doesn’t mean it will work on all of our sets of numbers.

So, we need to keep testing answers. Let’s try C; “y” equals “2x”. Same “x” and “y”.

So, replace “y” with twelve and see if that equals two times “x” which is two. Well twelve

does not equal four, which means we can eliminate that as a possible answer choice. Now let’s

try D; “y” equals “3x” plus one. Same “x” and “y”. So, twelve equals three times two

plus one. Continue to follow your order of operations, so multiply first. We want to

see does twelve equal six plus one. Twelve does not equal seven; therefore, that is also

not our answer. Let’s try E now; “y” equals “6x”. Again “y” is twelve. We want to see

if that equals six times two. Twelve does equal twelve. So, this is what I was talking

about. Because you can have more than one equation that works on one set of numbers.

So, to determine which one is the correct answer, we need to test another ordered pair.

So, let’s just pick another set of numbers. Um again, you want to keep it easy. You don’t

want it to be too hard. How about negative two and negative four. So, I’m going to try

the same equation again but using another set of numbers. So, this time the “y” is negative

four. We want to see if that equals negative two cubed plus four. Still following the order

of operations, which means exponents first. Negative two times negative two times negative

two is negative eight plus four. And negative eight plus four is negative four. So, we weren’t

sure if it equaled each other until it didn’t, um in the end. So, this has helped confirm

that B is our answer. But we’re not quite ready to circle it yet, until we determine

that E definitely isn’t the answer. So, we’re going to plug in the same ordered pair into

this answer choice E. So, again your “y” is negative four and we want to see if that equals

six times negative two. Does negative four equal negative twelve? No. So that right there

confirms that B is the correct answer because E did not work when we tried another set of

numbers. There you have an example of a problem using functions or patterns that you could

see when you take the GED. If you’re about to take the GED, then you

need to be prepared for word problems. Here I have an example of the type of problem that

you’ll see when you take the GED. “A number N is multiplied by three. The result is the

same as when N is divided by three. What is the value of N?” Well, I’m going to start

by taking all these words and turning them into an equation. So, first we have N multiplied

by three. And you would just write that as “3N” because that means three times N. Then

they say “the result is the same as”. Well, that’s just saying equal to. So, equals, when

N is divided by three. And that is written as N divided by three. Then they ask, what

is the value of N. Well, a couple of ways to do this. Since you have the multiple-choice

answers, you could use those. Replace N with each answer, and figure out which value of

N makes this equation true. For example if you try one, you have three, replace N with

one, times one equals, and you should put a question mark there because we’re not sure

if it’s equal yet, one divided by three. Three times one is three. And we want to know does

three equal a third. Well, no. Three wholes and one-third of one whole are not the same.

So, since these aren’t equal, that means one is not the value of N. And you can do that

with each answer choice until you find the one that does make the equation true. Or you

can solve the equation. And there’s more than one way to solve the equation. You could divide

both sides by three, but then that might look kind of weird, since you already have N divided

by three. So, what I’ll do is undo dividing N by three by multiplying both sides by three.

So, three times “3N” is “9N”. And that’s equal to, these threes cross-cancel, just N. Now,

you have variables on both sides. So, we want to get all of our variables on one side. And

you can do that by subtracting N from both sides. You have nine Ns minus an N leaves you with

eight Ns equals, N minus N is zero. Now, to solve for N, we just divide both sides

by eight. So, N is equal to zero divided by anything is zero. So, there you have N is

zero. Let’s test that out by plugging it back into our equation. So again, our equation

is “3N” equals N divided by three. And since we solved our equation, and got that N was

zero, we’re going to replace both of these Ns with zero. So, three times zero, and we

want to see if it equals zero divided by three. Zero times anything is zero. And zero divided

by anything is zero. And zero does equal zero. So, we found our answer, that N is zero. There

you have one example of the type of problem you’ll see when you take the GED.

If you’re taking the GED, you need to be prepared to answer word problems. And you’re going

to have to have some knowledge of percentages as well. Here’s a problem that combines both

of those skills: word problem, it’s a word problem, and you have to be able to use percentages

to solve it. “A long distance runner does a first lap around a track in exactly fifty

seconds. As she tires, each subsequent lap takes twenty percent longer than the previous

one. How long does she take to run three laps?” Well first of all, if it takes her fifty seconds

for the first one, and she’s running three, then that means fifty times three. It’s going

to take her, at least, a hundred fifty seconds. You can already eliminate answer choice D.

And since it’s taking her longer for the other ones, meaning more than fifty seconds, that

means it’s going to take more than fifty times three, or more than one hundred fifty seconds.

So, we can eliminate E as well. We’ve already narrowed it down. So, our chances of getting

this correct are even better now. So, let’s lay out what we know. The first lap took her

fifty seconds. The second lap took twenty percent longer than that. So, the second lap

took her the fifty seconds, like the first lap did, and twenty percent of fifty seconds.

Okay, we’re going to have to do a little bit of translating here. We don’t use percentages

when we’re calculating things. So, we leave this fifty, but we’re going to change this

percent into a decimal. And the way to do that is to take the decimal in twenty percent

and move it two places to the left. So, it’s two-tenths. And then “of” tells you to multiply.

So, we’re going to multiply that two-tenths times fifty. So, we have fifty plus, two times

fifty is a hundred, and then there’s one number behind the decimal. So, it took her ten seconds

longer. Because twenty percent of fifty is ten, and it took her ten seconds longer than

the fifty seconds for the first lap. So, her second lap took her sixty seconds. The third

lap we’ll do similarly. It took, again, twenty percent longer than, and this is key here,

than the previous one. So, it’s not going to be another sixty second lap. It took her

sixty seconds and twenty percent of sixty seconds. So, sixty plus, again change that

to a decimal, so it’s two-tenths, “of” tells you to multiply, so times sixty. So, sixty

seconds plus, two times sixty is one hundred twenty, and there’s one number behind the

decimal. So, sixty plus twelve, or seventy-two seconds. Now, since we’re finding how long

it took her to run all three laps, we need to take each one of these times and add them

together. So, we have fifty for the first lap, sixty for the second lap, and seventy-two

for the third. That’s two, seven plus six is thirteen, plus five is eighteen. So, it

took her one hundred eighty-two seconds to do all three laps, answer B. So, this is just

one example of the type of problem you’re going to see when you take the GED.

If you’re taking the GED, be prepared for a lot of word problems, like this one. “John

buys a hundred shares of stock at a hundred dollars per share. The price goes up by ten

percent and he sells fifty shares. Then, prices drop by ten percent and he sells his remaining

fifty shares. How much did he get for the last fifty?” Okay so, here’s what we’re focused

on, just the last fifty. But we need to figure out what the price was of those last fifty

he sold. So, it started at a hundred dollars per share, which we see right there. Then

it increased by ten percent, it went up by ten percent. So, we’re going to add ten percent

to this hundred dollars. And ten percent of a hundred dollars is ten dollars. So, the

new price, after it went up, was a hundred ten dollars. Um, and let me show you, first,

how to find the ten percent of a hundred dollars. This is how I find ten percent of anything.

Basically, ten percent of a number is just dividing that number by ten. And you can divide

a number by ten by taking the decimal and moving it one place to the left. So, that’s

your ten dollars. And you can do that with any number, just move the decimal one place

to the left and that’s ten percent of that number. Okay so, this was the price after

it increased by ten percent, but then, the prices dropped by ten percent. So, ten percent

of a hundred ten dollars, again we find it the same way, just take that decimal, move

it one place to the left, and that’s ten percent of a hundred ten. Since it dropped, we subtract

the eleven dollars from the hundred ten dollars, which is ninety-nine dollars. Now, we can

finally find how much he sold those fifty shares for. He sold each share for ninety-nine

dollars. So, it’s ninety-nine times fifty, which is four thousand nine hundred fifty

dollars. So, there you have one example of the kind of word problems you’re going to

see when you take the GED. Good luck!

Rachel levyPost authorhard to understand

Ekene PPost authorI comprehended everything thing you taught but my question goes to your sample 2 question. I want to know how much time one can be given to solve a question like that. If it is one minute. I guess it is not enough .

Arshad AliPost authormultiplication before division???

herasmo06Post authorI really like math when I can understand it.

Angelica ReyesPost authorI understand all your videos, they are amazing but I have try my GED 2 times and I fail 😞 idk what's wrong but mi mind it's blank when I'm there sitting in front the computer

Bijou WataPost authorSo there isn't any geometry in GED test?

Michelle JonesPost authormay God help me tomorrow, my head Is busted. Trying to get it but i cant.

Victoria CruzPost authorI wish I found this years ago.

Yoelvis QuintanaPost authorthank you, very useful your explications. The content is not so difficult for me as it is the technical english, since it is not my native lenguage. I understood 100%. Oh by the way very beutiful your hair.

jocelyn carilloPost authorAre the actual exams are in multiple questions?

kiana harrisPost authorthis video helped me so much!!! I just took my math test today and passed on the first try!

Love OthersPost authorThanks for the videos!!!! I wish you taught at my ged class.

Michael OsortoPost authorI have my math g.E.D test in 2hrs

Nyesha ThomasPost authorI love how you go through the problems step by step .I like math but it's some of it I don't understand just yet like what you are teaching .

james arkPost authorThis is upsetting me.,.I don't get it just so easy

Aquarius AquaPost authorthan you so much

Beach PleasePost authorThis girl is flawless !!!!!! this is a notorious must have video to pass on the G.E.D math test , her techniques are flawless !!!!!! Thanks God for this girl to all who are lost in GED math

ERaw MasonPost authorNeed All the help I can Get…

03TahoeRacingPost authorThanks for all the help you guys provided, I passed my GED math test Friday with a 146 and earned my Diploma. Never give up study, study, study it can be done. Oh I passed the other test with 158,158, and 150.

Ehsan OsmaniPost authorthis vidieo helped me so much I got an A++++++ ON MY TEST SUBSCRIBE PLS IT HELPS ALOT

Jessica SimsPost authorI wonder on the first equation if getting 1/2 if you simplify 5 over 10. If the denominator answer could be the answer instead of Multiplying 2 By 0.5. That's a question for any equation. If anybody could answer that I'd appreciate it.

justineravenPost authorI need this girl as my tutor she explain everything so well I could actually understand it…

ابن ادم وا بت ادمPost authorWow wow after this yo I feel like. I never been at school 👊🏻👊🏻in my face 😂😂

thecatspajamasnyPost authorThank you!! I should probably sleep with this playing in a loop… your explanations are excellent but my math skills are not.

aditta punnaPost authoris GED that easy lol

Suzette MossPost authori have trouble with math especially equations geomertry, trigonomertry etc….. need to keep you as my tutor . just slow own abit it helps but my pace is average need to keep a good pacee but the video really helps thank you

Yvonne StaleyPost authorPretty good instuction. Was not good at math.

jaidyn's weirdness is showingPost authorYou're a really great teacher

daijone dillardPost authorThis is what i needed.

Perah SadiqPost authorHi great effort 🙂

I want online free e-book of GED,so that I can download the book for practice these questions easily ..any link available to download this book?

Josh EllisPost authorI HAD A QUESTION

Maybe im retarded, probably but, i plugged 68 for y and 4 for x (one of the sets of numbers and it did not work with be or any of the other few i tried?? Doesn't that not satisfy all 5 then?

Fatoumata KebbehPost authorIm gonna take my test tomorrow wish me luck.

OvO ChrisPost authorBest teacher

JupiterDuskPost authorOkay I’m 17 I dropped out BC personal problems but I’m about to take my ged in 2 hours and I’m so scared like I just had a melt down

John BoldenPost authorDoes this &the other GED help still work for the NY 2017-2018 GED TEST? Cause I’m trynna take mines soon &I need all the help I can get.

Ralph KetchPost authorAfter 37 years of being out of school I went back and received my diploma!with help from my teaçher and you for Math I passed the test.The last time I was in school was grade 7.

fly manPost authorI already failed three time so idk even know why I'm still trying the math. Sadly I believe I'm just not meant to pass the math portion but my recent failiure i missed it by one point so thats the only thing driving me to try it again

jokertp reloadedPost authorI,m getting ready for the GED so I can do welding. I,m 11 year rusty. I will be watching these videos over and over again, until I get it. I really want that GED. But I also want to obtain the knowledge. Thanks teacher 🏫 your beautiful and so smart. I know one day I will get it down pack💜

Fritz AndralPost authorThe way she explained everything is just perfect that’s what I need thank you so much

Ashley RPost authorI passed my ged math, and this video was a huge help. You need to know graphing also, so find one of those videos too. Practice practice, really the best advice I can give.

Sokha ChanPost authorIf we just stay there and figure them out one by one then there is not enough time to do so. Do you have any solutions to find the set of numbers faster ?

TheKman12343Post authorits simple when yu think about

Mometrix Test PreparationPost authorHello Everyone 🙂 Thanks for watching! I hope this helps with your GED test review. Don't forget about:

GED Practice Test: https://www.mometrix.com/academy/ged-practice-test/

More GED study guide videos: https://www.youtube.com/playlist?list=PLqodl38v-H_F-elZiGHQlaeyAebhQgu5U

Facebook: https://www.facebook.com/MometrixTestPreparation/

Twitter: https://twitter.com/Mometrix

justin ponyPost authorby the time you solve it youve already used 9 minutes lol

SorieDeen SesayPost authorThis is great! am learning, but what about the other three subjects?

Michelle MadrilPost authorI took the test 2 weeks ago and scored a 139 not too far frompassing, but scared to take it again..Hopefully i can pass this time!!!

Super bungee JumpPost authorI'm taking my GED math test tomorrow morning! Hope I will pass, please wish me a good luck.

Jashandeep Ka urPost authorI don't the syllabus which topics re coming 😭

Diegi MejiaPost authorThank you, gracias !

Clandy JeurPost authorThank You very much my precious SISTER'S and BROTHER'S.

Victor BakarePost authorgood job ! thanks for helping

Laura CulbersonPost authorExcept you don't have alot of time to "test" numbers

Dan RodriguezPost authorCan't wait for my tutor so I can pass my test this summer. I took classes for it and I'm close to half for sure that I'll pass for I was struggling with some test during this year. But now I'm in an environment I'm familiar with I'm for sure I'll pass. Slowness is not familiar with me and when I want it now I'll have to be patient in order to get it rite always. Now that I'm home always.

GlittaGoCrazyPost authoris there someone who actually explains how to do the math ?? i need help and this woman is explaining it as if the person knows math already…

Mission4HomelessVetsPost authorI take my MATH test tomorrow, I'm incredibly nervous, for me it's hard to memorize all the formulas… I gotta remember PEMDAS AND FOIL….

elenaybarra8Post authorThanks for this Video, it was very helpful.

teodoragarcia41Post authorAre you allowed to use a calculator?

Ms SykesPost authorHer teaching is not clear, How is it 0.5 instead of -0.5? because you can't divide 5 by 10.

nas aPost authorThank you

scott walkerPost authori love her tutoring. thank you so much.

Kilo JonesPost author2 x 3 isn't 8

mery garciaPost authorI would like to know if this teacher has any more videos she explains it very well where I can understand thank you

Emilio MaldonadoPost authorI will take it tomorrow

lisa aliPost authorYou are very good at explaining. Thanks alot

juan velazPost authorTHANK YOU!!! Thank you I saw this video and took the test 4 times and I finally passed it never give up!!

Maria EstradaPost authorShe doesnt explain why you pick 2 and etc. She just says do it.

T ShawPost authorSo confusing

jeffw1267Post authorOn question 4, you can immediately look for an outlier, such as y equals 68 while x only equals 4. I would expect x in that case to have to be raised to a high power. It didn't take me more than maybe two seconds to choose "b" and I'm not a genius. The key is just to use logic and thereby save yourself some time.

HassanPost authorthank You today I passed Math, respect you.

trashcan complexPost authorI really appreciate your guys videos, its helped me a lot, and I can understand a lot more things in Math i didn't know before. (Math is my hardest subject) THANK YOUUU!!!

Anime AnnaPost authorThe way she did number 4 drove me insane. Just use the pair 0,4 and could have got the right answer through mental math

Elwyn AsieduPost authorwhat points do i need to learn for the subjects'

Basic Math

Geometry

Basic algebra

Graphs Functions

after watching so many Vids on different Channels I'm getting confused. so can someone help me out with this Question!!!!

Saiz MannPost authorRemember that there is a time limit per test, so you wont be able to check every option in function/ pattern problems with every coordinate pair unless youre quick about it..

Ainslie Jones #Great American GrandmaPost authorReally good job.

S GPost authorI am not getting any of this. If you guys watch these vids and actually pass the test then clearly you guys dont need that much help.

Charlene JenningsPost authorOmg it was explained so simple. TY

glooo.jaaay 8Post authorwow it really help me to understand thanks alot .

Jennifer AyalaPost authorDo you have free versions of things similar to the study guide, in not financially stable enough to afford the book . Maybe some references please

Simply NicolePost authorGreatt explaining..Thank you:)