Hello folks and welcome to GED

microlearning my name is Dr. MCR and this is GED math test 4 . The first

question in today’s tests requires you to know a little bit about how to read a

circle graphs and also how to calculate percentages . The question reads Karl

contributes 150 dollars to his 401k retirement plan, his employer matches 1/3

of his contributions . How much of his contribution goes to real estate? Here

the first thing that you should do is to actually find out how much money in

total is going to his 401k . We know that he contributes 150 dollars, and his

employer is going to match one third of his contributions so one third of a

hundred and fifty dollars would be fifty dollars. In total Carl is going to be

putting two hundred dollars into his 401k. The next question to ask is for

every dollar that goes into his 401k how is that distributed or what percentage

goes to which investment . If you look at the bar excuse me the circle graph, and

you look at the title it says 401k dollar investments and then it says in

parentheses cents so what this is telling you is that for every one dollar

that he invests 40 cents are going to go to public bonds, 13 cents are going to go

to private bonds, 25 cents are going to go to the stock market, 17 to real estate

and 5 to CDs . So if we look specifically at how much of that money goes to real

estate real estate its the red slice of your pie graph, and it’s 17 cents. They’re

asking us for a percentage so what we would do is you multiply those 17 cents

times 100 to get 17 percent. Now you can actually go and do the problem to

answer how much of his contribution goes to real estate, so here what you would do

is you multiply the $200 that he has invested

times 17% and that gives you $34. So the answer would be B. Question 2 looks at

inequalities, and here they’re asking you to solve this inequality so it says 13

is less than 2x minus 1 so the first thing that you do is you want to try to

isolate that X so you would add 1 on the left side excuse me on the right side

and that way those two numbers are going to cancel out . Remember that you have to

do the same thing on the opposite side, so you end up with 14 is less than 2x

and then to isolate that X you have to divide by 2 so you divide 2x by 2 that’s

going to cancel out and remember you have to do the same on the opposite side

so your inequality is 7 is less than X. Question 3 is a number line question ,

here they’re giving you a number line with a series of fractions and they’re

asking you what is this sum of A plus B. They tell you that A is 7/8 and B is

negative 1/4 so this is what they’re asking you to add these two fractions. If

we remind ourselves about adding fractions, remember that the rule is that

for you to add fractions they have to have the same denominator, and the

denominator was the number in the bottom. In this case, the common denominator

would be 8, and what you have to do for your second fraction is that you have to

increase multiply that number that fraction by 2 so that you end up with

the denominator of 8. You would say 1/4 times 2 times 2 over 2

okay that gives you 7 eighths plus negative 2 over

and now remember that to add a fraction what you do is that you add the top

numbers the numerators so 7 plus minus 2 would be 5 and then your denominator the

bottom number would remain 8. Question 4 is a problem that

looks at scientific notation and remember that scientific notation is

just a method that we use to express and work with numbers that are either very

large, or very small. And we usually express these numbers with an exponent

okay? And what the exponent is telling you is the number of times that you moved your decimal point so in this case they’re telling you that

scientists estimate the distance from the earth to the moon to be

approximately two hundred and thirty eight thousand miles.

What is the number expressed in scientific notation? Okay so we have two

hundred thirty-eight thousand miles, and we said that we’re going to move our

decimal point to the left so we move it five times. So the answer would be two

point three eight times ten to the fifth power okay? Again, that exponent is

telling you how many times you’ve moved your decimal point. The final question

looks at figuring out patterns, or sequences . It asks you what is the

next number in the sequence five eleven 18 and 26 . Alright, so if we look at these

numbers and I already gave you the answer there, what you would do is try to

figure out if there’s a pattern between each of the numbers. Between five and

eleven basically to go from five to eleven you would add six , and then

to go from eleven to eighteen you would add seven, and to go from 18 to 26 you

add eight, so that’s the pattern : it increases by one number each time.

So then the number after 26 would be 35 because you have to add plus 9 . Okay

folks, that’s all for today. I hope you found that useful. If you did, and you

want more videos like this make sure to subscribe to the channel, and as always

folks stay positive and stay strong! Have a terrific day, thank you for your time

and thanks for watching!