Question 1

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

Accepted Answer

A)  $10 ^ { - 4 }$ 
B)  $10 ^ { 4 }$ 
C)  $10 ^ { - 77 }$ 
D)  $10 ^ { - 18 }$ 
A)  $10 ^ { - 4 }$ 
B)  $10 ^ { 4 }$ 
C)  $10 ^ { - 77 }$ 
D)  $10 ^ { - 18 }$

Question 2

Use units to help you answer the question. If necessary, round your answer to two decimal places.
-Assuming that your heart beats 70 times per minute, how many times does your heart beat in 6 days?

Accepted Answer

A) 604,800 
B) 25,200 
C) 36,288,000 
D) 201,600 
A) 604,800 
B) 25,200 
C) 36,288,000 
D) 201,600

Question 3

Decide whether the statement makes sense. Explain your reasoning.
-I can walk on my hands for 5 meters before falling down, but my goal is to walk a full
decimeter without losing my balance.

Accepted Answer

Does not make sense. A decimeter is a te

Question 4

Solve the problem.
-A piece of land in Ottawa with an area of 0.5 square kilometers is priced at 5800 Canadian dollars. If there are 0.9965 Canadian dollars per (U.S.)dollar, then what is the price in dollars per square
Mile?

Accepted Answer

A) $30,147.74 per square mile 
B) $4494.76 per square mile 
C) $29,937.07 per square mile 
D) $18,733.45 per square mile 
A) $30,147.74 per square mile 
B) $4494.76 per square mile 
C) $29,937.07 per square mile 
D) $18,733.45 per square mile

Question 5

Carry out the indicated unit conversion. Round your answer, if appropriate.
-$\text { Convert a lot size of } \frac { 2 } { 9 } \text { acre to square feet } \left( 1 \text { acre } = 43,560 \mathrm { ft } ^ { 2 } \right) \text {. }$

Accepted Answer

A) 968 square feet 
B) 9680 square feet 
C) 979 square feet 
D) 9790 square feet 
A) 968 square feet 
B) 9680 square feet 
C) 979 square feet 
D) 9790 square feet

Question 6

Decide which of the two given prices is the better deal.
-You can buy hair product in a 12-ounce bottle for $2.88 or in a 8-ounce bottle for $1.76.

Accepted Answer

A) 8-ounce bottle for $1.76 
B) equal value 
C) 12-ounce bottle for $2.88 
D) not enough information 
A) 8-ounce bottle for $1.76 
B) equal value 
C) 12-ounce bottle for $2.88 
D) not enough information

Question 7

Solve the problem.
-A field is 150 yards long and 90 yards wide. Find its area in square feet.

Accepted Answer

A)  $364,500 \mathrm { ft } ^ { 2 }$ 
B)  $40,500 \mathrm { ft } ^ { 2 }$ 
C)  $13,500 \mathrm { ft } ^ { 2 }$ 
D)  $121,500 \mathrm { ft } ^ { 2 }$ 
A)  $364,500 \mathrm { ft } ^ { 2 }$ 
B)  $40,500 \mathrm { ft } ^ { 2 }$ 
C)  $13,500 \mathrm { ft } ^ { 2 }$ 
D)  $121,500 \mathrm { ft } ^ { 2 }$

Question 8

Solve the problem.
-What is the cost of lighting a 500-watt outdoor light for 8 hours, if electricity costs 7.5¢ per kilowatt-hour?

Accepted Answer

A) 30 cents 
B) 60 cents 
C) 67 cents 
D) 45 cents 
A) 30 cents 
B) 60 cents 
C) 67 cents 
D) 45 cents

Question 9

Solve the problem.
-A swimming pool 3 meters deep, 14 meters long, and 6 meters wide is filled with water. What volume of water does the pool contain?

Accepted Answer

A)  $273 \mathrm {~m} ^ { 3 }$ 
B)  $252 \mathrm {~m} ^ { 3 }$ 
C)  $84 \mathrm {~m} ^ { 2 }$ 
D)  $18 \mathrm {~m} ^ { 2 }$ 
A)  $273 \mathrm {~m} ^ { 3 }$ 
B)  $252 \mathrm {~m} ^ { 3 }$ 
C)  $84 \mathrm {~m} ^ { 2 }$ 
D)  $18 \mathrm {~m} ^ { 2 }$

Question 10

Decide whether the statement makes sense. Explain your reasoning.
-It is not recommended that you use approximations to solve a problem, because then your
solution is only an approximation.

Accepted Answer

Does not make sense. Most real problems

Question 11

Carry out the indicated unit conversion. Round your answer, if appropriate.
-Use a chain of conversions with familiar measures of time to convert 8 weeks into seconds.

Accepted Answer

A) 4,838,400 seconds 
B) 691,200 seconds 
C) 201,600 seconds 
D) 80,640 seconds 
A) 4,838,400 seconds 
B) 691,200 seconds 
C) 201,600 seconds 
D) 80,640 seconds

Question 12

Decide whether the statement makes sense. Explain your reasoning.
-I found a rock at the bottom of our swimming pool. It had a mass of 500 grams and a
volume of 1000 cubic centimeters, so its density was 0 $0.5 \mathrm {~g} / \mathrm { cm } ^ { 3 }$

Accepted Answer

Does not make sense. The calcu

Question 13

Identify the units you would expect for the given quantity.
-The amount of electricity utilized, calculated by multiplying power in kilowatts by time in hours.

Accepted Answer

A) kilowatt-hours 
B) kilowatts per second 
C) hours per kilowatt 
D) kilowatts per hour 
A) kilowatt-hours 
B) kilowatts per second 
C) hours per kilowatt 
D) kilowatts per hour

Question 14

Solve the problem.
-Your electrical bill states that you used 800 kilowatt-hours of energy in January. Determine your total electrical energy use, in joules.

Accepted Answer

A) 256,000,000 joules 
B) 288,000,000 joules 
C) 2,560,000,000 joules 
D) 2,880,000,000 joules 
A) 256,000,000 joules 
B) 288,000,000 joules 
C) 2,560,000,000 joules 
D) 2,880,000,000 joules

Question 15

Evaluate.
-$\frac { 1 } { 4 } \times \frac { 1 } { 5 } \times \frac { 1 } { 6 }$

Accepted Answer

A)  $\frac { 15 } { 2 }$ 
B)  $\frac { 1 } { 120 }$ 
C)  $\frac { 1 } { 60 }$ 
D)  $\frac { 1 } { 26 }$ 
A)  $\frac { 15 } { 2 }$ 
B)  $\frac { 1 } { 120 }$ 
C)  $\frac { 1 } { 60 }$ 
D)  $\frac { 1 } { 26 }$

Question 16

Decide which of the two given prices is the better deal.
-You can buy laundry product in a 30-ounce bottle for $6.00 or in a 24-ounce bottle for $4.08.

Accepted Answer

A) 24-ounce bottle for $4.08 
B) 30-ounce bottle for $6.00 
C) not enough information 
D) equal value 
A) 24-ounce bottle for $4.08 
B) 30-ounce bottle for $6.00 
C) not enough information 
D) equal value

Question 17

Convert the common fraction into decimal form. If necessary, round to the nearest thousandth.
-$\frac { 615 } { 895 }$

Accepted Answer

A) 0.687 
B) 0.694 
C) 0.497 
D) 0.797 
A) 0.687 
B) 0.694 
C) 0.497 
D) 0.797

Question 18

Decide whether the statement makes sense. Explain your reasoning.
-I got pulled over by a police officer for speeding. I was going 150 kiloliters per second.

Accepted Answer

Does not make sense. Kiloliter

Question 19

State how much larger or smaller the first unit is than the second.
-nanometer, meter

Accepted Answer

A)  Smaller by a factor of $10 ^ { 6 }$ 
B)  Larger by a factor of $10 ^ { 6 }$ 
C)  Smaller by a factor of $10 ^ { 9 }$ 
D)  Larger by a factor of $10 ^ { 9 }$ 
A)  Smaller by a factor of $10 ^ { 6 }$ 
B)  Larger by a factor of $10 ^ { 6 }$ 
C)  Smaller by a factor of $10 ^ { 9 }$ 
D)  Larger by a factor of $10 ^ { 9 }$

Question 20

Solve the problem.
-Two bicyclists, 42 miles apart, begin riding toward each other on a long straight avenue.
One cyclist travels 15 miles per hour and the other 20 miles per hour. At the same time,
Spot (a greyhound), starting at one cyclist, runs back and forth between the two cyclists as
they approach each other. If Spot runs 38 miles per hour and turns around instantly at each
cyclist, how far has he run when the cyclists meet?

Accepted Answer

The answer of Solve the problem.
-Two bicyclists, 42 miles apart,...

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

Use units to help you answer the question. If necessary, round your answer to two decimal places. -Assuming that your heart beats 70 times per minute, how many times does your heart beat in 6 days?

Decide whether the statement makes sense. Explain your reasoning. -I can walk on my hands for 5 meters before falling down, but my goal is to walk a full decimeter without losing my balance.

Solve the problem. -A piece of land in Ottawa with an area of 0.5 square kilometers is priced at 5800 Canadian dollars. If there are 0.9965 Canadian dollars per (U.S.)dollar, then what is the price in dollars per square Mile?

Carry out the indicated unit conversion. Round your answer, if appropriate. - $\text { Convert a lot size of } \frac { 2 } { 9 } \text { acre to square feet } \left( 1 \text { acre } = 43,560 \mathrm { ft } ^ { 2 } \right) \text {. }$

Decide which of the two given prices is the better deal. -You can buy hair product in a 12-ounce bottle for $2.88 or in a 8-ounce bottle for $1.76.

Solve the problem. -A field is 150 yards long and 90 yards wide. Find its area in square feet.

Solve the problem. -What is the cost of lighting a 500-watt outdoor light for 8 hours, if electricity costs 7.5¢ per kilowatt-hour?

Solve the problem. -A swimming pool 3 meters deep, 14 meters long, and 6 meters wide is filled with water. What volume of water does the pool contain?

Decide whether the statement makes sense. Explain your reasoning. -It is not recommended that you use approximations to solve a problem, because then your solution is only an approximation.

Carry out the indicated unit conversion. Round your answer, if appropriate. -Use a chain of conversions with familiar measures of time to convert 8 weeks into seconds.

Decide whether the statement makes sense. Explain your reasoning. -I found a rock at the bottom of our swimming pool. It had a mass of 500 grams and a volume of 1000 cubic centimeters, so its density was 0 $0.5 \mathrm {~g} / \mathrm { cm } ^ { 3 }$

Identify the units you would expect for the given quantity. -The amount of electricity utilized, calculated by multiplying power in kilowatts by time in hours.

Solve the problem. -Your electrical bill states that you used 800 kilowatt-hours of energy in January. Determine your total electrical energy use, in joules.

Evaluate. - $\frac { 1 } { 4 } \times \frac { 1 } { 5 } \times \frac { 1 } { 6 }$

Decide which of the two given prices is the better deal. -You can buy laundry product in a 30-ounce bottle for $6.00 or in a 24-ounce bottle for $4.08.

Convert the common fraction into decimal form. If necessary, round to the nearest thousandth. - $\frac { 615 } { 895 }$

Decide whether the statement makes sense. Explain your reasoning. -I got pulled over by a police officer for speeding. I was going 150 kiloliters per second.

State how much larger or smaller the first unit is than the second. -nanometer, meter

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

Solve the problem. - 10−1110−7\frac { 10 ^ { - 11 } } { 10 ^ { - 7 } }10−710−11​