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GED Practice Test 12

42 questions

Question 1:
What is the slope of the line that has equation 6x + 3y = −15?

A 2

B 0.5

C −2

D – 0.5

Question 2:
What is the product of ?

D
Question 3:
Change the percentage to a decimal:

58.3%

A 5.83

B 0.583

C 58.3

D 0.0583

Question 4:
Bill purchased a new car for $36,892.85, and he was responsible for paying the 6.5% sales tax. What was the
amount of sales tax that Bill paid on his new car?

A $2,213.57

B $2,398.04

C $2,766.96

D $2,582.50

Question 5:
In his will, Mr. Adams left 30% of his estate to his wife and evenly divided the balance between his son and
his daughter. If the son received $36,000 as his share, what was the total value of the estate?

A $98,522

B $102,857

C $112,986

D $84,109
Question 6:
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?

A $2.9 billion.

B $1.6 billion.

C $0.6 billion.

D $2.6 billion.

Question 7:
The diameter of one bicycle wheel is 22 inches, and its spokes run from the hub (or center) to the edge of the
rim. The diameter of another bicycle wheel is 18 inches. What is the difference in inches between the length
of the spokes of the two wheels?

A 2.5

B 1

C 1.5

D 2

Question 8:
A number N is multiplied by 3. The result is the same as when N is divided by 3. What is the value of N?

A 0

B 3

C -1

D -3
Question 9:
A rectangular box is twice as long as it is wide. If it were 3 inches shorter and 3 inches wider, it would be
square. What is the width in inches of the box?

A 12

B 6

C 8

D 4

Question 10:
The pharmacy purchased a $599 tablet computer for each of its eight on-call pharmacists. What did it cost the
pharmacy to purchase the tablets?

A $4,193

B $4,792

C $5,391

D $9,584

Question 11:
What is 2.35 * 0.15 equal to?

A 0.03525

B 35.25

C 3.525

D 0.3525
Question 12:
Sherri was doing a calculation and came up with 59.68287 as her answer. If Sherri rounds to the nearest
hundredth, what will her answer be?

A 59.68

B 59.69

C 59.6

D 59.7

Question 13:
Solve the given equation for = _________.

Question 14:
Diver number one dives down 25 feet below sea level. Diver number two then goes down five (5) times
further than diver number one. What is the final depth of diver number two?

A 100 feet below sea.

B 30 feet below sea.

C 50 feet below sea.

D 125 feet below sea.

Question 15:
A company sold a total of $640 in gift boxes. If the gift boxes cost $20 apiece, how many gift boxes did the
company sell?

A 320

B 660

C 1280

D 32

Question 16:
A painter rented a wallpaper steamer at 9 a.m. and returned it at 4 p.m. He paid a total of $28.84. What was
the rental cost per hour?

A $2.43

B $3.61

C $4.12

D $5.77

Question 17:
Express 3 as an equivalent fraction having denominator 24.

D
Question 18:
Solve the equation:

Question 19:
Which option shows twelve hundredths in decimal form?

A 0.00012

B 0.12

C 0.012

D 0.0012

Question 20:
Cindy measured the rainfall in 5 days consecutively. She recorded the following measurements on her
calendar:
1.5 in, 0.5 in, 2 in, 0.75 in, and x.
What is the value of x if the average rainfall measurement was 1.25 in?

A 0.75 in.

B 1.5 in.

C 2.0 in.

D 1.25 in.
Question 21:
If . What are the values of ?

Question 22:
Jackson leased a new car for 3 years. He agreed to pay $1,900 down and a $269 payment each month. He
also agreed to pay $0.125 per mile he drove over 30,000 miles. During the 3-year lease period, Jackson drove
the car 32,458 miles. Excluding taxes, what was the cost of leasing this car for 3 years?

A $5,435.25

B $9,991.25

C $13,741.25

D $11,891.25

Question 23:
A rectangular room is 10 feet long and 8 feet wide. What is the perimeter of the room in feet?

A 36

B 40

C 60

D 26
Question 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.

A 128.3

B 128.4

C 12.83

D 12.8

Question 25:
What is the median of these numbers?

4, 9, 13, 8, 15, 18, 5

A 13

B 9

C 8

D 15

Question 26:

Which of the following options is the CORRECT set for the above equation?

A { , }

B { , }

C { , }

D { , }
Question 27:
The perimeter of a fence enclosing a square patio is 60 ft. What is the area of the patio in square feet?

A 225

B 180

C 900

D 3600

Question 28:
The pet store groomed 32 pets on Monday. If the number of dogs groomed was three times as many as the
number of cats, how many cats were groomed on Monday?

A 12 cats.

B 24 cats.

C 4 cats.

D 8 cats.

Question 29:
Li wants to buy as many bags of mulch as possible with his $305, and he would like them to be delivered to
his house. The cost is $7.50 per bag and there is a $35.75 delivery charge. The mulch is only sold in full
bags. How many bags can Li buy?

A 36

B 45

C 46

D 35
Question 30:
Jack drives x miles one day, y miles the next, and z miles the third. What is the total number of miles driven
by Jack?

A xy + z

B (x + y + z)/3

C x+y+z

D xyz

Question 31:
Roger wanted to purchase a small utility tractor. The tractor cost $12,500. The blade for the tractor cost $800.
The bucket for the tractor cost $1,500. The brush guard for the tractor cost $900. If Roger wanted to purchase
the tractor with the blade and the bucket, how much money would Roger need?

A $14,000

B $15,700

C $14,800

D $14,200

Question 32:
Chris purchased 10 maple trees, 6 oak trees, and some pine trees from the nursery. There is a 3 to 5 ratio of
maple trees to pine trees. Which of the following numbers in the problem are needed to find the total number
of pine trees that Chris purchased?

A 6, 3, and 5 only.

B 10, 6, 3, and 5.

C 3 and 5 only.

D 10, 3, and 5 only.

Question 33:
What is the product of 1.5 and 2.25?

A 37.5

B 3.375

C 3.37

D 3.75

Question 34:
Which of the following options is equivalent to 1 centimeter?

A 1,000 millimeters.

B 0.001 meters.

C 0.01 meters.

D 0.1 millimeters.

Question 35:
A company purchased 60-dollar football league tickets for each of its 122 employees, as well as one guest
per employee. What did it cost the company to provide all of these tickets?

A $17,320

B $14,640

C $13,640

D $12,800
Question 36:
There are s steps from the pedestal to the head of the Statue of Liberty. The number of steps in the
Washington Monument is 27 less than 6 times the number of steps in the Statue of Liberty. Which expression
represents the number of steps in the Washington Monument in terms of s?

A 6s < 27

B 6(s - 27)

C 27 < 6s

D 6s - 27

Question 37:
Solve the equation:

Question 38:
How many minutes are there in five days?

A 2,400 minutes.

B 6,000 minutes.

C 1,440 minutes.

D 7,200 minutes.
Question 39:
John buys 100 shares of stock at $100 per share. The price goes up by 10% and he sells 50 shares. Then,
prices drop by 10% and he sells his remaining 50 shares. How much does he get for the last 50?

A $4900

B $5050

C $4950

D $5500

Question 40:
Simplify the expression: = _________.

Question 41:
An investor invests $5,500 into a mutual fund and earns 6.75% on the principal for each of three years. How
much interest has accrued at the end of the period?\u00A0

A $1,260.15

B $1,113.75

C $925.50

D $811.90
Question 42:
Express 21 as a percentage of 57.

A 0.36%

B 36.84%

C 11.97%

D 25.78%
Answer:

Question 1: C
Explanation:

To identify the slope, put the equation in y = mx + b form by solving for y.

6x + 3y = −15
6x + 3y − 6x = −15− 6x
3y = −6x −15

y= −2x – 5
The slope is –2, the coefficient of x

Question 2: D
Explanation:

Perform the indicated operations, being sure to follow the rules for exponents.

Question 3: B
Explanation:

Move the decimal point two spaces away from the percent sign (to the left). Drop the % sign:

58.3% --> 0.583

Question 4: B
Explanation:

To calculate the amount of sales tax that Bill paid on his new car, we need to multiply the purchase price by the sales tax
rate.
Sales Tax Amount = Purchase Price × Sales Tax Rate
In order to solve this problem, you will need to multiply:
$36,892.85 \u00D7 0.065 = $2,398.04.

Question 5: B
Explanation:

Let's denote the total value of the estate as "x." According to the information given, Mr. Adams left 30% of his estate to his
wife, which means 70% of the estate remains after that distribution. After the wife receives her share, the remaining estate
is divided equally between the son and daughter. Since the son receives $36,000, it means his share is equal to 1/2 of the
remaining estate. We can set up the following equation to represent the given information:
(70% of x) / 2 = $36,000
To solve for x, we can rearrange the equation:
(70% of x) = 2 * $36,000
0.7x = $72,000
Dividing both sides of the equation by 0.7, we have:
x = $72,000 / 0.7 ≈ $102,857.14
Therefore, the total value of the estate was approximately $102,857.14.
Question 6: D
Explanation:

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.

Question 7: D
Explanation:

The length of the spokes of a bicycle wheel is directly proportional to the radius of the wheel. Since the spokes run from
the hub to the edge of the rim, the length of the spokes is equal to the radius of the wheel. The radius of a wheel is half of
its diameter. Therefore, to find the difference in inches between the lengths of the spokes of the two wheels, we need to
calculate the difference in their radii.

For the wheel with a diameter of 22 inches: Radius1 = 22 inches / 2 = 11 inches

For the wheel with a diameter of 18 inches: Radius2 = 18 inches / 2 = 9 inches

To find the difference in inches between the lengths of the spokes, we subtract Radius2 from Radius1:

Difference = Radius1 - Radius2 = 11 inches - 9 inches = 2 inches

Therefore, the difference in inches between the lengths of the spokes of the two wheels is 2 inches.

Question 8: A
Explanation:

Zero is the only number that gives the same result when multiplied or divided by a factor. In each case, the answer is zero.
Question 9: B
Explanation:

Let's denote the width of the rectangular box as "w" inches.

Given:

Length of the box is twice as long as its width: length = 2w inches.

If the box were 3 inches shorter and 3 inches wider, it would be square. This means the new length and width would be
equal.

The new length would be (2w - 3) inches, and the new width would be (w + 3) inches.

Since the new length and width are equal, we can set up the equation:

2w - 3 = w + 3

Now, let's solve the equation to find the value of "w":

2w - 3 - w = 3

w-3=3

w=3+3

w=6

Therefore, the width of the box is 6 inches.

Question 10: B
Explanation:

In order to solve the problem, you must multiply: $599 × 8 = $4,792.

Question 11: D
Explanation:

Remove the decimals from the numbers and multiply.

235 * 15 = 3,525
When multiplying two numbers with decimals, the correct decimal point location is found by adding the number of
decimal places in each number. Since 2.35 has two decimal places and 0.15 also has two decimal places, the total number
of decimal places in the answer is 4.
So, 3,525 becomes 0.3525.

Question 12: A
Explanation:

First, eliminate answer choices 59.7 and 59.6 since neither of these answer choices is rounded to the nearest hundredth. To
round 59.68287 to the nearest hundredth, you need to look at the digit in the thousandths place. The digit is 2. Rounding
tells you that if a digit is 4 or under, round down. Thus, we need to leave the digit in the hundredths place as an 8. The
correct answer is 59.68.
Question 13: B
Explanation:

On the left, an order of operations demands that we first multiply by , then add . To solve this equation for , we
must “undo” each of these operations in an inverse order. Thus, we will first subtract from both sides of the equation,
then divide both sides of the resulting equation by .
Original equation.

To “undo” adding , subtract from both sides of the equation.

Simplify both sides.

To “undo” multiplying by , divide both sides of the equation by .

Simplify both sides.

Question 14: D
Explanation:

The initial depth of the first diver is 25 feet below sea level, or −25. To find the final depth of the second diver, multiply
the depth of the first diver by 5.
−25(5) = −125
The second diver’s final depth is −125 feet, or, 125 feet below sea level.

Question 15: D
Explanation:

To find the number of gift boxes sold by the company, we need to divide the total sales amount by the cost per gift box
Number of gift boxes sold = Total sales amount / Cost per gift box = $640 / $20
Dividing $640 by $20, we get:
Number of gift boxes sold = 32
Therefore, the company sold 32 gift boxes.

Question 16: C
Explanation:

To calculate the rental cost per hour, we need to find the total number of hours the painter rented the wallpaper steamer and
then divide the total cost by that number of hours.
Rental cost per hour = Total cost / Rental duration = $28.84 / 7 ≈ $4.12 (rounded to the nearest cent)
Therefore, the rental cost per hour for the wallpaper steamer is approximately $4.12.

Question 17: C
Explanation:

Both numerator and denominator must be multiplied by 24:

Question 18: C
Explanation:

We need to isolate all terms containing on one side of the equation. We can eliminate from the right-hand side of
by subtracting from both sides of the equation.

Subtract from both sides.

Next, eliminate 9 from the left-hand side of the last equation by subtracting 9 from both sides of the equation.

Note how we have isolated all terms containing on one side of the equation. Finally, to “undo” multiplying by 8, divide
both sides of the equation by 8 and reduce to the lowest terms.

Question 19: B
Explanation:

0.012 is twelve thousandths, 0.0012 is twelve ten-thousandths, and 0.00012 is twelve hundred-thousandths.

Question 20: B
Explanation:

The average is found by adding the totals together and dividing by the number of days.
Solve the following equation, with x representing the rainfall of the fifth day.
(1.5 in + 0.5 in + 2.0 in + 0.75 in + x in) ÷ 5 = 1.25 in.
(4.75 in + x) ÷ 5 = 1.25
4.75 in + x = 6.25
x = 6.25 - 4.75
x = 1.5 in

Question 21: B
Explanation:

First, solve by factoring.

or
or
Next, substitute both values, one at a time, into the expression to obtain
and . Therefore, the correct choice is .
Question 22: D
Explanation:

To calculate the cost of leasing the car for 3 years, we need to consider the down payment, monthly payments, and any
additional charges for exceeding the mileage limit.
Down payment: $1,900
Monthly payments: $269 per month for 36 months (3 years) = $9,684
Mileage charge: $0.125 per mile over 30,000 miles, and Jackson drove 32,458 miles.

To calculate the mileage charge, we need to determine the number of miles over the limit:
Number of miles over the limit = Total miles driven - Mileage limit
= 32,458 miles - 30,000 miles
= 2,458 miles

Mileage charge = Number of miles over the limit * Cost per mile
= 2,458 miles * $0.125/mile = $307.25

Now, let's calculate the total cost of leasing the car for 3 years:

Total cost = Down payment + Monthly payments + Mileage charge

= $1,900 + $9,684 + $307.25
= $11,891.25

Therefore, the cost of leasing the car for 3 years, excluding taxes, is approximately $11,891.25.

Question 23: A
Explanation:

To find the perimeter of a rectangular room, we add up the lengths of all four sides. The formula for the perimeter of a
rectangle is:

Perimeter = 2 * (Length + Width)

Using the given values, we can calculate the perimeter as follows:

Perimeter = 2 * (10 feet + 8 feet) = 2 * (18 feet) = 36 feet

Therefore, the perimeter of the room is 36 feet.

Question 24: A
Explanation:

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.

770.000 ÷ 6000 = 128.33

To the nearest tenth, each examiner has about 128.3 applications to catch up on.
Question 25: B
Explanation:

Write the numbers in order: 4, 5, 8, 9, 13, 15, 18

Since we have 7 numbers (7 is odd), then the median is the number in the middle, which is 9.

Question 26: C
Explanation:

The bars, which surround the equation, signify \u201Cabsolute value,\u201D which refers to the distance from zero.
Therefore, the solution to an absolute value equation is both positive and negative.
The equation has two solutions: and . Solve each equation.

Therefore, the equation has two solutions: and .

Question 27: A
Explanation:

Since a square has four equal sides, each side is or 15 ft.

To solve for the square patio's area:
Area = length of side \u00D7 length of side

Question 28: D
Explanation:

Let's set up an equation, with x representing the number of cats.

Since there were three times as many dogs as cats, then 3x = the number of dogs.
Since the total number of animals groomed was 32, set up the following equation:

x + 3x = 32

4x = 32

x = 8 cats

Question 29: D
Explanation:

From Li’s initial amount of $305, a flat $35.75 delivery charge is deducted:
$305 − $35.75 = $269.25.
We can then divide this amount by the cost per bag to find the total number of bags that Li can buy:
$269.25 ÷ $7.50 = 35.9 bags. However, the question states that the mulch can only be sold in full bags, so we must round
our answer down to ensure that Li does not exceed his budget.
Question 30: C
Explanation:

The questions asks for a total number, which requires only addition. Therefore, x + y + z = total number of miles driven.

Question 31: C
Explanation:

In order to find the amount of money Roger would need, you will need to add together the items he wishes to buy. $12,500
+ $800 + $1,500 = $14,800

Question 32: D
Explanation:

In order to find the actual number of pine trees, you need the initial ratio, plus one actual number. The initial ratio of maple
trees to pine trees is 3 to 5, and the actual number of maple trees is 10. You do not need the fact that there were oak trees
purchased. This piece of information does nothing to help you solve the ratio involving maple trees and pine trees.

Question 33: B
Explanation:

Remove the decimals and multiply the numbers together.

15 × 225 = 3,375

When multiplying decimals together, add the total number of decimal places in both numbers and put the total number of
decimal places in the answer.

In this case, there is one decimal place in 1.5 and two decimal places in 2.25 for a total of 3 decimal places. Add these to
3,375 to get 3.375.

Question 34: C
Explanation:

1 centimeter = 0.01 meters. 10 millimeters = 1 centimeter, and 1 centimeter = 0.00001 kilometers.

Question 35: B
Explanation:

Since each employee will bring one guest, the number of tickets is calculated by multiplying: 2 \u00D7 122.
2 \u00D7 122 = 244 tickets
Next, multiply the total number of tickets by the price per ticket to calculate the total cost of the company:
$60 \u00D7 244 = $14,640
Question 36: D
Explanation:

Let's represent the number of steps in the Washington Monument as W.

Given:

Number of steps from the pedestal to the head of the Statue of Liberty = s

Number of steps in the Washington Monument is 27 less than 6 times the number of steps in the Statue of Liberty.

We can write this information as an equation:

W = 6s - 27

Therefore, the expression that represents the number of steps in the Washington Monument in terms of s is 6s - 27.

Question 37: B
Explanation:

Original equation.

Apply the distributive property.

Combine like terms on the left side.

Add to both sides.

Divide both sides by .

Question 38: D
Explanation:

In order to solve the problem, convert the units from days to hours.

1 day = 24 hours

1 day x 5 = 24 hours x 5 = 120 hours

Next convert hours to minutes.

1 hour = 60 minutes

1 hour x 120 = 60 minutes x 120 = 7,200 minutes

Question 39: C
Explanation:

The stock first increases by 10% => Each share value is added with $10, which is equal to $110 per share.
Then, the price decreases by %10 of $110 which is equal to $11. So, the sale price is $110-$11 = $99 per share.
Therefore, the sale price for 50 shares was 99 x $50 = $4950.

Question 40: A
Explanation:

Use the distributive property to expand the expression, and then use order of operations to simplify.

Question 41: B
Explanation:

To calculate interest earned over a period of time, you would use the formula I=PRT. Interest equals principle ($5,500)
times the rate of return (.0675) times the length of time (3 years): (5,500)(.0675)(3) = $1,113.75.

Question 42: B
Explanation:

To express one number as a percentage of another number, calculate its decimal value and multiply it by 100:

(21 ÷ 57) × 100

= (0.3684) × 100

= 36.84%