# Ged Math practice test 7 - online test

We define a company's Net Worth as its assets minus liabilities. Assets are all things of value that may be converted into cash whereas liabilities are the company's total of debts. Now the XY Association went bankrupt while it had \$28.6 billion in assets and \$26 billion in liabilities.
What was the XY Association's net worth before it went bankrupt?

\$1.6 billion

\$2.6 billion

\$2.9 billion

\$0.6 billion

To find the net worth, subtract the debts from the assets. Your answer should be in the billions.
Net Worth = Assets − Liabilities
= 28.6 − 26
= 2.6
Therefore, the XY Association had a net worth of \$2.6 billion.

Solve the equation.
4.3x − 0.7(x+ 2.1) = 8.61

x = 2.1

x = 2.8

x = 4.2

x = 6.7

Original equation.
4.3x − 0.7(x+ 2.1) = 8.61
Apply the distributive property.
4.3x − 0.7x − 1.47 = 8.61
Combine like terms on the left side.
3.6x − 1.47 = 8.61
3.6x = 10.08
Divide both sides by 3.6.
x = 2.8

Express 3 as an equivalent fraction having denominator 24.

Both numerator and denominator must be multiplied by 24:

In the United States Patent & Trademark Office, 6,000 examiners are faced with a backlog of 770,000 unexamined, new applications for patents. For each of these 6,000 examiners, how many applications do they need to catch up on? Round the answer to the nearest tenth.

128.33

12.83

128.3

12.8

To find the backlog for each examiner, divide the number of applications by the number of examiners.
Number applications per examiner =total applications / number examiners

To the nearest tenth, each examiner has about 128.3 applications to catch up on.

How many quarter-acre lots can be made from acres of land?

38

21

26

30

Quarter-acre means of an acre. To find the number of quarter-acres in acres, divide the by .

Therefore, there are 26 quarter-acre lots in acres of land.

Round 29.379 to the nearest tenth.

29

29.3

29.37

29.4

Because the test digit is greater than or equal to 5, add 1 to the rounding digit, then truncate. Hence, to the nearest tenth, 29.379 is approximately 29.4.

In the week that ended June 19, the U.S. commercial crude oil inventory decreased by 3.8 million barrels.
Now if the inventory was 353.9 million barrels in the week that followed, what was the U.S. crude oil inventory before the decline?

270.90

320.9

256.2

357.7

Let x represent crude oil inventory in millions of barrels for the previous week before the decline.”
Set up an Equation. “Crude oil inventory last week experienced a decline and result in the crude oil inventory now” becomes Oil inventory last week - decline in inventory = Oil inventory this week
x − 3.8 = 353.9
Solve the Equation. To isolate an unknown value x, add both sides of the equation by 3.8.
Original equation
x − 3.8 = 353.9.
Add both sides of the equation by 3.8.
x − 3.8 + 3.8 = 353.9+ 3.8
On the left, adding by 3.8 “undoes” the effect of subtracting by 3.8 and returns x. On the right, 353.9+ 3.8 = 357.7.
x = 357.7
The previous week, US crude oil inventory was 357.7 million barrels.

In Napa Valley, California, 1 acre of good wine land can produce some 3.5 tons of high-quality grapes.
When the average price is \$3,414 for premium cabernet per ton, what would be the amount of money that could be generated on 1 acre of premium cabernet farming?

\$11,949

\$7,929

\$10 590

\$5,973

To find the dollar amount of grape revenue for one acre, multiply the price per ton of grapes by the number of tons of grapes that can be grown on one acre.

Therefore, the dollars generated on one acre of premium cabernet are about \$11, 949.

Compute the exact square root. If the square root is undefined, choose “undefined”

3

-3

undefined

1

Square roots of negative numbers are undefined, so does not exist.

According to the National Atmospheric and Oceanic Administration, we experienced 16 named storms in 2019. Eight (8) of these named storms grew into hurricanes while five (5) were major hurricanes.
What fraction of these named storms developed into hurricanes?

8

To find the fraction of named storms that grew into hurricanes, find the number of storms that grew into hurricanes for the numerator, with the total number of named storms in the denominator. Then, reduce the fraction if possible.
Therefore, of the named storms from 2008 grew into hurricanes.

Otis bought a table that was discounted 33%.
If t represents the original price of the table, what was Otis’s cost?

t + 0.33

t – 0.33

0.67t

0.33t

Given the table was discounted 33 percent, Otis paid 100% – 33% = 67% of the original price. This is 0.67t

The shadow of a woman standing next to a tree is 3 feet long, and the shadow of the tree is 12 feet long.
If the woman is 5 feet, 6 inches tall, how tall, in feet, is the tree?

15

22

25

28

Because the lengths of objects and their shadows are proportional, the easiest way to do this problem is to observe that the shadow of the tree is four times longer than the shadow of the woman, so the tree is four times taller than the woman. Four times 5 feet, 6 inches is 22 feet.

Eight cards are dealt face down on a table: two spades, three hearts, one diamond, and two clubs. Two cards are drawn randomly, one after the other, from the cards on the table.
If the first card drawn is a spade and it is not put back on the table before the second card is drawn, what is the probability that the second card drawn is a heart?

After the first card is drawn, seven cards are left: one spade, three hearts, one diamond, and two clubs. Three of these seven are hearts, so the probability the second card drawn is a heart is

To drive from Silver City to Urbana, you have to go 15 miles due north to Wakefield. Then you turn left and go due west 10 miles to Urbana.
If there were a road directly from Silver City to Urbana, how far a drive, in miles, would this be (to the nearest mile)?

18

15

16

17

Because due north and due west form a right angle, the three cities form a right triangle. The distance from Silver City to Urbana is the hypotenuse of this right triangle. The legs of this right triangle are 15 and 10 miles. According to the Pythagorean theorem, Therefore, the length of the direct route is , which is 18, to the nearest mile.

Kaia is in the market for a new car. The sticker price for the car she is interested in is \$45,000. One dealer offers her 15% off the sticker price. Another dealer offers her 20% off.
How much money will Kaia save if she buys the car from the second dealer?

\$450

\$2,250

\$900

\$1,125

Two roommates went by car to a movie theater, which is 20 miles from their apartment. Due to heavy traffic, it took them 40 minutes to get there.
What was their average speed in miles per hour?

24

30

32

40

Forty minutes is of an hour. Because average speed is distance divided by time, divide 20 miles by hour to obtain 30 mph. It’s worthwhile to note that 60 mph is a mile a minute. In this case, it took 40 minutes to go 20 miles, and this is half a mile a minute, so their average speed was 30 mph.

The surface area of a sphere is . .
What is the sphere’s diameter, in inches?

20

30

10

40

Using the formula for the surface area of a sphere from the formula sheet (and omitting the units), solve for r

The diameter is twice the length of r, so the sphere’s diameter is 20 inches. (–10 is also a solution, but it is rejected because r cannot be negative.)

Currently, the ratio of Jaeden’s age to Kiernan’s age is 5:3, and the sum of their ages is 32.
In 10 years, the ratio of their ages will be:

5:3

15:13

15:11

25:21

Let 5x = Jaeden’s current age, and 3x = Kiernan’s current age. Then 5x + 3x = 32, so 8x = 32 and x = 4. Thus, Jaeden’s current age is 5x = 5(4) = 20, and Kiernan’s current age is 3x = 3(4) = 12. In 10 years, Jaeden and Kiernan will be 30 and 22, respectively, and the ratio of their ages will be , which is 15:11.

A pile of sand at a concrete plant is a cone shape. It is 15 meters high, and the circular base has a diameter of 40 meters.
What is the volume of this sand, in meters 3 ?

6,280

630

12,560

25,120

Use the formula for the volume of a cone from the formula sheet. The height is 15 meters. Given the diameter is 40 meters, the radius is 20 meters. Using 3.14 for gives

The half-life of radioactive material is the length of time it takes the substance to be halved due to the emission of radiation.
If the half-life of a radioactive substance is 50 years, what fraction of the original amount will remain after 150 years?

Given the half-life is 50 years, the original amount will be cut in half three times over a period of 150 years to in 50 years, to in 100 years, and to in 150 years.