Question 1

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

Accepted Answer

A) 22,658.9 yards 
B) 8749.3 yards 
C) 26,247.9 yards 
D) 67,976.8 yards 
A) 22,658.9 yards 
B) 8749.3 yards 
C) 26,247.9 yards 
D) 67,976.8 yards B

Question 2

Use units to help you answer the question. If necessary, round your answer to two decimal places.
-A paint mixture contains 5 gallons of base for every gallon of color. In 108 gallons of paint, how many gallons of color are there?

Accepted Answer

A) 90 gal 
B) 36 gal 
C) 18 gal 
D) 54 gal 
A) 90 gal 
B) 36 gal 
C) 18 gal 
D) 54 gal C

Question 3

Solve the problem.
-$\frac { 10 ^ { 9 } } { 10 ^ { - 6 } }$

Accepted Answer

A)  $10 ^ { 3 }$ 
B)  $10 ^ { - 15 }$ 
C)  $10 ^ { - 54 }$ 
D)  $10 ^ { 15 }$ 
A)  $10 ^ { 3 }$ 
B)  $10 ^ { - 15 }$ 
C)  $10 ^ { - 54 }$ 
D)  $10 ^ { 15 }$ D

Question 4

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.)

Accepted Answer

A) $2,628,000 
B) $7200 
C) $8760 
D) $43,800 
A) $2,628,000 
B) $7200 
C) $8760 
D) $43,800

Question 5

Solve the problem.
-There are 20 bags filled with coins that all look alike. The coins in 19 of the bags are
authentic and weigh 10 ounces each. The coins in one of the bags are counterfeit and weigh
11 ounces each. With only one weighing on a scale, how can you determine which bag
contains the counterfeit coins?

Accepted Answer

Label the bags 1-20 and choose one coin

Question 6

Decide whether the statement makes sense. Explain your reasoning.
-To convert from Kelvin to Celsius, you subtract 273.15. For example, -100 K = -373.15 °C.

Accepted Answer

Does not make sense. The general formula

Question 7

Solve the problem.
-How many cubic furlongs are in a cubic mile? (1 mile = 8 furlongs)

Accepted Answer

A) 64 cubic furlongs 
B) 4096 cubic furlongs 
C) 512 cubic furlongs 
D) 8 cubic furlongs 
A) 64 cubic furlongs 
B) 4096 cubic furlongs 
C) 512 cubic furlongs 
D) 8 cubic furlongs

Question 8

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

Accepted Answer

A)  $\frac { 8 } { 5 }$ 
B)  2 
C)  $\frac { 31 } { 20 }$ 
D)  $\frac { 41 } { 20 }$ 
A)  $\frac { 8 } { 5 }$ 
B)  2 
C)  $\frac { 31 } { 20 }$ 
D)  $\frac { 41 } { 20 }$

Question 9

Solve the problem.
-A father and son are in a terrible car accident. The father is killed. The son, badly injured, is
brought to the hospital for emergency surgery. The surgeon takes one look at the patient
and exclaims, "That's my son!" How is this possible?

Accepted Answer

The surgeon is a wom

Question 10

Evaluate.
-$\frac { 2 } { 19 } \times \frac { 19 } { 9 }$

Accepted Answer

A)  $\frac { 1 } { 9 }$ 
B)  $\frac { 2 } { 19 }$ 
C)  $\frac { 2 } { 9 }$ 
D)  $\frac { 9 } { 2 }$ 
A)  $\frac { 1 } { 9 }$ 
B)  $\frac { 2 } { 19 }$ 
C)  $\frac { 2 } { 9 }$ 
D)  $\frac { 9 } { 2 }$

Question 11

Solve the problem.
-How many square inches are in 6 square yards?

Accepted Answer

A)  $72 \mathrm { in } ^ { 2 }$ 
B)  $216 \mathrm { in } ^ { 2 }$ 
C)  7776 in. $^ { 2 }$ 
D)  $864 \mathrm { in. } ^ { 2 }$ 
A)  $72 \mathrm { in } ^ { 2 }$ 
B)  $216 \mathrm { in } ^ { 2 }$ 
C)  7776 in. $^ { 2 }$ 
D)  $864 \mathrm { in. } ^ { 2 }$

Question 12

Use the following table of exchange rates to solve the problem. Round your answer when appropriate. $$\begin{array} { l | c | c } 
\text { Currency } & \text { Dollars per Foreign } & \text { Foreign per Dollar } \
\hline \text { British pound } & 1.624 & 0.6158 \
\text { Canadian dollar } & 1.005 & 0.9950 \
\text { European euro } & 1.320 & 0.7576 \
\text { Japanese yen } & 0.0120 & 83.33 \
\text { Mexican peso } & 0.07855 & 12.73
\end{array}$$
-You return from a trip with 3400 Japanese yen. How much are your yen worth in dollars?

Accepted Answer

A) $2575.84 
B) $267.07 
C) $283,322 
D) $40.80 
A) $2575.84 
B) $267.07 
C) $283,322 
D) $40.80

Question 13

Decide whether the statement makes sense. Explain your reasoning.
-I donated 64 fluid ounces of blood today.

Accepted Answer

Does not make sense. The units

Question 14

Solve the problem.
-Paul and Saul ran a 50-meter race. When Paul crossed the finish line, Saul had run only 48
meters. Then they ran a second race, with Paul starting 2 meters behind the starting line.
Assuming that both runners ran at the same pace as in the first race, who won the second
race?

Accepted Answer

The answer of Solve the problem.
-Paul and Saul ran a...

Question 15

Solve the problem.
-A certain land area is 540,000 square miles, and it holds a population of 64.1 million people. Calculate the population density.

Accepted Answer

A)  84 people $/ \mathrm { mi } ^ { 2 }$ 
B)  1187 people $/ \mathrm { mi } ^ { 2 }$ 
C)  842 people $/ \mathrm { mi } ^ { 2 }$ 
D)  119 people $/ \mathrm { mi } ^ { 2 }$ 
A)  84 people $/ \mathrm { mi } ^ { 2 }$ 
B)  1187 people $/ \mathrm { mi } ^ { 2 }$ 
C)  842 people $/ \mathrm { mi } ^ { 2 }$ 
D)  119 people $/ \mathrm { mi } ^ { 2 }$

Question 16

Decide whether the statement makes sense. Explain your reasoning.
-Whether it's a problem in mathematics or something else, I always find it's best to complete
the work by looking back to check, interpret, and explain my solution.

Accepted Answer

Makes sense. This is essentially step 4

Question 17

Use the following table of exchange rates to solve the problem. Round your answer when appropriate. $$\begin{array} { l | c | c } 
\text { Currency } & \text { Dollars per Foreign } & \text { Foreign per Dollar } \
\hline \text { British pound } & 1.624 & 0.6158 \
\text { Canadian dollar } & 1.005 & 0.9950 \
\text { European euro } & 1.320 & 0.7576 \
\text { Japanese yen } & 0.0120 & 83.33 \
\text { Mexican peso } & 0.07855 & 12.73
\end{array}$$
-How many Mexican pesos can you buy for $180?

Accepted Answer

A) 14,999.4 pesos 
B) 2.16 pesos 
C) 2291.4 pesos 
D) 14.139 pesos 
A) 14,999.4 pesos 
B) 2.16 pesos 
C) 2291.4 pesos 
D) 14.139 pesos

Question 18

Solve the problem.
-You burn 300 Calories will exercising for 40 minutes. What is your average power while exercising, in watts?

Accepted Answer

A) 784.5 watts 
B) 523 watts 
C) 627.6 watts 
D) 418.4 watts 
A) 784.5 watts 
B) 523 watts 
C) 627.6 watts 
D) 418.4 watts

Question 19

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

Accepted Answer

A) 0.291 
B) 0.286 
C) 0.283 
D) 0.333 
A) 0.291 
B) 0.286 
C) 0.283 
D) 0.333

Question 20

Solve the problem.
-Cheddar cheese comes in 2-pound bags, and mozzarella cheese comes in 5-pound bags.
Using entire bags, you make a 47-pound mixture of cheese. How many bags of each type
of cheese did you use? Find all the possible solutions to the problem.

Accepted Answer

1 bag cheddar and 9 bags mozza

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

Use units to help you answer the question. If necessary, round your answer to two decimal places. -A paint mixture contains 5 gallons of base for every gallon of color. In 108 gallons of paint, how many gallons of color are there?

Solve the problem. - $\frac { 10 ^ { 9 } } { 10 ^ { - 6 } }$

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.)

Decide whether the statement makes sense. Explain your reasoning. -To convert from Kelvin to Celsius, you subtract 273.15. For example, -100 K = -373.15 °C.

Solve the problem. -How many cubic furlongs are in a cubic mile? (1 mile = 8 furlongs)

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

Solve the problem. -A father and son are in a terrible car accident. The father is killed. The son, badly injured, is brought to the hospital for emergency surgery. The surgeon takes one look at the patient and exclaims, "That's my son!" How is this possible?

Evaluate. - $\frac { 2 } { 19 } \times \frac { 19 } { 9 }$

Solve the problem. -How many square inches are in 6 square yards?

Decide whether the statement makes sense. Explain your reasoning. -I donated 64 fluid ounces of blood today.

Solve the problem. -Paul and Saul ran a 50-meter race. When Paul crossed the finish line, Saul had run only 48 meters. Then they ran a second race, with Paul starting 2 meters behind the starting line. Assuming that both runners ran at the same pace as in the first race, who won the second race?

Solve the problem. -A certain land area is 540,000 square miles, and it holds a population of 64.1 million people. Calculate the population density.

Decide whether the statement makes sense. Explain your reasoning. -Whether it's a problem in mathematics or something else, I always find it's best to complete the work by looking back to check, interpret, and explain my solution.

Solve the problem. -You burn 300 Calories will exercising for 40 minutes. What is your average power while exercising, in watts?

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

Solve the problem. -Cheddar cheese comes in 2-pound bags, and mozzarella cheese comes in 5-pound bags. Using entire bags, you make a 47-pound mixture of cheese. How many bags of each type of cheese did you use? Find all the possible solutions to the problem.

Thinking Critically

Numbers in the Real World

Managing Money

Statistical Reasoning

Putting Statistics to Work

Probability: Living With the Odds

Exponential Astonishment

Modeling Our World

Modeling With Geometry

Mathematics and the Arts

Filters

Exam 2: Approaches to Problem Solving