Question 1

Use units to help you answer the question. If necessary, round your answer to two decimal places.
-You are buying carpet to cover a room that measures 12 feet by 17 feet. The carpet costs $27.50 per square yard. How much will the carpet cost?
A)$204.00
B)$741.82
C)$1870.00
D)$623.33

Accepted Answer

The room is 12 feet by 17 feet, which is 204 square feet. There are 9 square feet in a square yard, so 204 square feet is 22.67 square yards. At $27.50 per square yard, the cost is 22.67 * $27.50 = $623.33.

Question 2

Use units to help you answer the question. If necessary, round your answer to two decimal places.
-Suppose you could spend $5 every hour, night and day. How much could you spend in a year? (Assume that there are 365 days in a year.)
A)$2,628,000
B)$7200
C)$8760
D)$43,800

Accepted Answer

To calculate the total amount spent in a year, multiply the hourly spending rate by the number of hours in a year. There are 24 hours in a day and 365 days in a year, so the total number of hours in a year is 24 * 365 = 8,760 hours. Spending $5 every hour for 8,760 hours results in 5 * 8,760 = $43,800.

Question 3

Use the following table of exchange rates to solve the problem. Round your answer when appropriate. $$\begin{array} { l | c | c } 
\text { Currency } & \text { Dollars per Foreign } & \text { Foreign per Dollar } \
\hline \text { British pound } & 1.624 & 0.6158 \
\text { Canadian dollar } & 1.005 & 0.9950 \
\text { European euro } & 1.320 & 0.7576 \
\text { Japanese yen } & 0.0120 & 83.33 \
\text { Mexican peso } & 0.07855 & 12.73
\end{array}$$
-Which is worth most, 1 British pound, 1 Canadian dollar, 1 European euro, or 1 dollar?
A)1 Canadian dollar
B)1 dollar
C)1 European euro
D)1 British pound

Accepted Answer

1 British pound is worth the most in terms of dollars ($1.624), making it the most valuable compared to 1 Canadian dollar, 1 European euro, or 1 US dollar according to the given exchange rates.

Question 4

Solve the problem.
-Suppose a necklace is made from 18-karat gold and weighs 54 grams. Find the weight, in grams, of the pure gold in the necklace.
A)40.5 grams
B)6 grams
C)54 grams
D)18 grams

Accepted Answer

18-karat gold means the gold content is 18/24 (or 3/4) of the total weight, because pure gold is 24 karats. So, for a 54 gram necklace, the weight of pure gold is 54 * (3/4) = 40.5 grams.

Question 5

Identify the units you would expect for the given quantity.
-The density of a meteor, found by dividing its mass in kilograms by its volume in cubic meters. 
A) $\mathrm { kg } / \mathrm { m } ^ { 2 }$
B) $\mathrm { kg } / \mathrm { m } ^ { 3 }$
C) $\mathrm { kg } ^ { 3 } / \mathrm { m }$
D) $\mathrm { m } ^ { 3 } / \mathrm { kg }$

Accepted Answer

Density is defined as mass per unit volume, which is kilograms per cubic meter ($\mathrm{kg/m^3}$).

Question 6

Convert the measurement to the units specified. Round your answer to the nearest tenth.
-8 kilometers to yards
A)22,658.9 yards
B)8749.3 yards
C)26,247.9 yards
D)67,976.8 yards

Accepted Answer

The answer of Convert the measurement to the units specified....

Question 7

Solve the problem.
-$\frac { 10 ^ { - 11 } } { 10 ^ { - 7 } }$
A) $10 ^ { - 4 }$
B) $10 ^ { 4 }$
C) $10 ^ { - 77 }$
D) $10 ^ { - 18 }$

Accepted Answer

The answer of Solve the problem.
-\(\frac { 10 ^ {...

Question 8

Identify the units you would expect for the given quantity.
-The price of gravel, found by dividing its total cost in dollars by its total weight in tons.
A)ton-dollars
B)tons per dollar
C)cubic tons
D)dollars per ton

Accepted Answer

The price of gravel is calculated by dividing the total cost (in dollars) by the total weight (in tons), resulting in dollars per ton.

Question 9

Write as a common fraction.
-3.98 
A) $\frac { 199 } { 50 }$
B) $\frac { 389 } { 100 }$
C) $\frac { 199 } { 500 }$
D) $\frac { 199 } { 5 }$

Accepted Answer

3.98 can be written as $\frac { 398 } { 100 }$, which simplifies to $\frac { 199 } { 50 }$ by dividing both numerator and denominator by 2.

Question 10

Carry out the indicated unit conversion. Round your answer, if appropriate.
-Convert a distance of 11 miles into yards; there are 1760 yards in a mile.
A)19,360 yards
B)20,020 yards
C)20,680 yards
D)1936 yards

Accepted Answer

11 miles * 1760 yards/mile = 19,360 yards

Question 11

Identify the units you would expect for the given quantity.
-A speed found by dividing a distance measured in meters by a time measured in seconds.
A)meter-seconds
B)square meters
C)meters per second
D)seconds per meter

Accepted Answer

Speed is calculated as distance divided by time, resulting in units of meters per second (m/s).

Question 12

Carry out the indicated unit conversion. Round your answer, if appropriate.
-There are 8 ounces in a cup, 4 cups in a quart, and 4 quarts in a gallon. Using a chain with these conversions, convert 6 gallons into ounces.
A)96 ounces
B)768 ounces
C)192 ounces
D)1536 ounces

Accepted Answer

To convert 6 gallons into ounces, use the conversion chain: 6 gallons * 4 quarts/gallon * 4 cups/quart * 8 ounces/cup = 768 ounces.

Question 13

Answer the following question involving a conversion within the USCS system.
-The baby weighs 8.2 pounds. How many ounces is that?
A)98.4 ounces
B)131.2 ounces
C)82 ounces
D)0.51 ounces

Accepted Answer

The answer of Answer the following question involving a conversion...

Question 14

State how much larger or smaller the first unit is than the second.
-square decimeter, square kilometer 
A) Smaller by a factor of $10 ^ { 4 }$
B) Smaller by a factor of $10 ^ { 6 }$
C) Smaller by a factor of $10 ^ { 3 }$
D) Smaller by a factor of $10 ^ { 8 }$

Accepted Answer

A square decimeter is smaller than a square kilometer by a factor of $10^8$ because 1 square kilometer is $10^{10}$ square decimeters.

Question 15

Carry out the indicated unit conversion. Round your answer, if appropriate.
-Convert a distance of 54 feet into yards.
A)18 yards
B)21 yards
C)36 yards
D)162 yards

Accepted Answer

1 yard = 3 feet, so 54 feet divided by 3 equals 18 yards.

Question 16

Convert the common fraction into decimal form. If necessary, round to the nearest thousandth.
-$\frac { 2 } { 7 }$
A)0.291
B)0.286
C)0.283
D)0.333

Accepted Answer

Dividing 2 by 7 gives 0.285714285714..., which rounds to 0.286 to the nearest thousandth.

Question 17

Evaluate.
-$\frac { 9 } { 5 } - \frac { 1 } { 4 }$
A) $\frac { 8 } { 5 }$
B) 2
C) $\frac { 31 } { 20 }$
D) $\frac { 41 } { 20 }$

Accepted Answer

To subtract these fractions, they must have a common denominator. The least common multiple of 5 and 4 is 20. Converting each fraction: $\frac{9}{5} = \frac{36}{20}$ and $\frac{1}{4} = \frac{5}{20}$. Subtracting these gives $\frac{36}{20} - \frac{5}{20} = \frac{31}{20}$.

Question 18

Convert the measurement to the units specified. Round your answer to the nearest tenth.
-2500 square yards to square meters
A)2992.1 square meters
B)2090.3 square meters
C)2735 square meters
D)2286 square meters

Accepted Answer

To convert square yards to square meters, multiply by 0.836127. So, 2500 square yards * 0.836127 = 2090.3175 square meters, which rounds to 2090.3 square meters.

Question 19

Solve the problem.
-A swimming pool 4 meters deep, 15 meters long, and 8 meters wide is filled with water. What is the area of the water's surface? 
A) $60 \mathrm {~m} ^ { 2 }$
B) $480 \mathrm {~m} ^ { 3 }$
C) $32 \mathrm {~m} ^ { 2 }$
D) $120 \mathrm {~m} ^ { 2 }$

Accepted Answer

The area of the water's surface is the same as the area of the top of the pool, which is the length times the width: $15 \, \text{m} \times 8 \, \text{m} = 120 \, \text{m}^2$.

Question 20

Solve the problem.
-An average 12-ounce can of beer contains about 15 grams of alcohol. Consider a person with approximately 4 liters (4000 milliliters)of blood, who quickly drinks two cans of beer. If all the
Alcohol were immediately absorbed into the bloodstream, what blood alcohol content would we
Find?
A)0.075 g/100 ml
B)0.75 g/100 ml
C)0.375 g/100 ml
D)0.0375 g/100 ml

Accepted Answer

The answer of Solve the problem.
-An average 12-ounce can of...

Quiz 2: Approaches to Problem Solving

Use units to help you answer the question. If necessary, round your answer to two decimal places. -You are buying carpet to cover a room that measures 12 feet by 17 feet. The carpet costs $27.50 per square yard. How much will the carpet cost?

Use units to help you answer the question. If necessary, round your answer to two decimal places. -Suppose you could spend $5 every hour, night and day. How much could you spend in a year? (Assume that there are 365 days in a year.)

Solve the problem. -Suppose a necklace is made from 18-karat gold and weighs 54 grams. Find the weight, in grams, of the pure gold in the necklace.

Identify the units you would expect for the given quantity. -The density of a meteor, found by dividing its mass in kilograms by its volume in cubic meters.

Convert the measurement to the units specified. Round your answer to the nearest tenth. -8 kilometers to yards

Solve the problem. - $\frac { 10 ^ { - 11 } } { 10 ^ { - 7 } }$

Identify the units you would expect for the given quantity. -The price of gravel, found by dividing its total cost in dollars by its total weight in tons.

Write as a common fraction. -3.98

Carry out the indicated unit conversion. Round your answer, if appropriate. -Convert a distance of 11 miles into yards; there are 1760 yards in a mile.

Identify the units you would expect for the given quantity. -A speed found by dividing a distance measured in meters by a time measured in seconds.

Carry out the indicated unit conversion. Round your answer, if appropriate. -There are 8 ounces in a cup, 4 cups in a quart, and 4 quarts in a gallon. Using a chain with these conversions, convert 6 gallons into ounces.

Answer the following question involving a conversion within the USCS system. -The baby weighs 8.2 pounds. How many ounces is that?

State how much larger or smaller the first unit is than the second. -square decimeter, square kilometer

Carry out the indicated unit conversion. Round your answer, if appropriate. -Convert a distance of 54 feet into yards.

Convert the common fraction into decimal form. If necessary, round to the nearest thousandth. - $\frac { 2 } { 7 }$

Evaluate. - $\frac { 9 } { 5 } - \frac { 1 } { 4 }$

Convert the measurement to the units specified. Round your answer to the nearest tenth. -2500 square yards to square meters

Solve the problem. -A swimming pool 4 meters deep, 15 meters long, and 8 meters wide is filled with water. What is the area of the water's surface?