# GED math test 4 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
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folks stay positive and stay strong! Have a terrific day, thank you for your time
and thanks for watching!