Question 1

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

Accepted Answer

A) 18 yards 
B) 21 yards 
C) 36 yards 
D) 162 yards 
A) 18 yards 
B) 21 yards 
C) 36 yards 
D) 162 yards

Question 2

Solve the problem.
-A traffic counter consists of a thin black tube stretched across a street or highway and
connected to a "brain box" at the side of the road. The device registers one "count" each
time a set of wheels (that is, wheels on a single axle)rolls over the tube. A normal
automobile (two axles)registers two counts, and a light truck (three axles)registers three
counts. Suppose that, during a one-hour period, a particular counter registers 41 counts on
a residential street on which only two-axle vehicles (cars)and three-axle vehicles (light
trucks)are allowed. How many cars and light trucks passed over the traffic counter? Find
all the possible solutions to the problem.

Accepted Answer

1 car and 13 light trucks; 4 c

Question 3

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

Accepted Answer

A) 98.4 ounces 
B) 131.2 ounces 
C) 82 ounces 
D) 0.51 ounces 
A) 98.4 ounces 
B) 131.2 ounces 
C) 82 ounces 
D) 0.51 ounces

Question 4

Answer the following question involving a conversion within the USCS system.
-The customer bought a peck of flour. How many cubic inches of flour did he buy?

Accepted Answer

A)  $537.6$ in. 3 
B)  $33.6 \mathrm { in. } ^ { 3 }$ 
C)  $268.8$ in. $^ { 3 }$ 
D)  $67.2 \mathrm { in. } ^ { 3 }$ 
A)  $537.6$ in. 3 
B)  $33.6 \mathrm { in. } ^ { 3 }$ 
C)  $268.8$ in. $^ { 3 }$ 
D)  $67.2 \mathrm { in. } ^ { 3 }$

Question 5

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.

Accepted Answer

A) 40.5 grams 
B) 6 grams 
C) 54 grams 
D) 18 grams 
A) 40.5 grams 
B) 6 grams 
C) 54 grams 
D) 18 grams

Question 6

Solve the problem.
-You find a 4-pound nugget that is 20% gold. What is its purity in karats?

Accepted Answer

A) 24 karats 
B) 4.8 karats 
C) 9.6 karats 
D) 20 karats 
A) 24 karats 
B) 4.8 karats 
C) 9.6 karats 
D) 20 karats

Question 7

Solve the problem.
-Find a conversion factor between cubic inches and cubic yards. Write it in three forms.

Accepted Answer

A)  1 in. $^ { 3 } = \left( 36 \mathrm { yd } ^ { 3 } = 46,656 \mathrm { yd } ^ { 3 } \right.$ 
B)  $1 \mathrm { yd } ^ { 3 } = ( 3 \mathrm { ft } ) ^ { 3 } = 27 \mathrm { ft } ^ { 3 }$ 
C)  $1 \mathrm { yd } ^ { 2 } = ( 36 \text { in. } ) ^ { 2 } = 1296$ in. $^ { 2 }$ 
D)  $1 \mathrm { yd } ^ { 3 } = ( 36 \text { in. } ) ^ { 3 } = 46,656$ in. 3 
A)  1 in. $^ { 3 } = \left( 36 \mathrm { yd } ^ { 3 } = 46,656 \mathrm { yd } ^ { 3 } \right.$ 
B)  $1 \mathrm { yd } ^ { 3 } = ( 3 \mathrm { ft } ) ^ { 3 } = 27 \mathrm { ft } ^ { 3 }$ 
C)  $1 \mathrm { yd } ^ { 2 } = ( 36 \text { in. } ) ^ { 2 } = 1296$ in. $^ { 2 }$ 
D)  $1 \mathrm { yd } ^ { 3 } = ( 36 \text { in. } ) ^ { 3 } = 46,656$ in. 3

Question 8

Solve the problem.
-How many cubic inches are in 19 cubic feet?

Accepted Answer

A)  24,624 in. $^ { 3 }$ 
B)  32,832 in. $^ { 3 }$ 
C)  886,464 in. $^ { 3 }$ 
D)  2736 in. $^ { 3 }$ 
A)  24,624 in. $^ { 3 }$ 
B)  32,832 in. $^ { 3 }$ 
C)  886,464 in. $^ { 3 }$ 
D)  2736 in. $^ { 3 }$

Question 9

Solve the problem.
-Find a conversion factor between square feet and square yards. Write it in three forms.

Accepted Answer

A)  $1 \mathrm { ft } ^ { 2 } = ( 3 \mathrm { yd } ) ^ { 2 } = 9 \mathrm { yd } ^ { 2 }$ 
B)  $1 \mathrm { ft } ^ { 3 } = ( 3 \mathrm { yd } ) ^ { 3 } = 27 \mathrm { yd } ^ { 3 }$ 
C)  $1 \mathrm { yd } ^ { 2 } = ( 3 \mathrm { ft } ) ^ { 2 } = 9 \mathrm { ft } ^ { 2 }$ 
D)  $1 \mathrm { yd } ^ { 3 } = ( 3 \mathrm { ft } ) ^ { 3 } = 27 \mathrm { ft } ^ { 3 }$ 
A)  $1 \mathrm { ft } ^ { 2 } = ( 3 \mathrm { yd } ) ^ { 2 } = 9 \mathrm { yd } ^ { 2 }$ 
B)  $1 \mathrm { ft } ^ { 3 } = ( 3 \mathrm { yd } ) ^ { 3 } = 27 \mathrm { yd } ^ { 3 }$ 
C)  $1 \mathrm { yd } ^ { 2 } = ( 3 \mathrm { ft } ) ^ { 2 } = 9 \mathrm { ft } ^ { 2 }$ 
D)  $1 \mathrm { yd } ^ { 3 } = ( 3 \mathrm { ft } ) ^ { 3 } = 27 \mathrm { ft } ^ { 3 }$

Question 10

Solve the problem.
-There are 1000 meters in 1 kilometer. Find a conversion factor between cubic meters and cubic kilometers. Write it in three forms.

Accepted Answer

A)  $1 \mathrm {~km} ^ { 3 } = ( 1000 \mathrm {~m} ) ^ { 3 } = 100,000 \mathrm {~m} ^ { 3 }$ 
B)  $1 \mathrm {~km} ^ { 2 } = ( 1000 \mathrm {~m} ) ^ { 2 } = 1,000 \mathrm {~m} ^ { 2 }$ 
C)  $1 \mathrm {~m} ^ { 3 } = ( 1000 \mathrm {~km} ) ^ { 3 } = 1,000,000 \mathrm {~km} ^ { 3 }$ 
D)  $1 \mathrm {~km} ^ { 3 } = ( 1000 \mathrm {~m} ) ^ { 3 } = 1,000,000,000 \mathrm {~m} ^ { 3 }$ 
A)  $1 \mathrm {~km} ^ { 3 } = ( 1000 \mathrm {~m} ) ^ { 3 } = 100,000 \mathrm {~m} ^ { 3 }$ 
B)  $1 \mathrm {~km} ^ { 2 } = ( 1000 \mathrm {~m} ) ^ { 2 } = 1,000 \mathrm {~m} ^ { 2 }$ 
C)  $1 \mathrm {~m} ^ { 3 } = ( 1000 \mathrm {~km} ) ^ { 3 } = 1,000,000 \mathrm {~km} ^ { 3 }$ 
D)  $1 \mathrm {~km} ^ { 3 } = ( 1000 \mathrm {~m} ) ^ { 3 } = 1,000,000,000 \mathrm {~m} ^ { 3 }$

Question 11

Convert the common fraction into decimal form. If necessary, round to the nearest thousandth.
-$\frac { 330 } { 66 }$

Accepted Answer

A)  4 
B)  6 
C)  5 
D)  $6.6$ 
A)  4 
B)  6 
C)  5 
D)  $6.6$

Question 12

Convert the measurement to the units specified. Round your answer to the nearest tenth.
-34 pounds to grams

Accepted Answer

A) 74,970 grams 
B) 15,422.4 grams 
C) 75 grams 
D) 15.4 grams 
A) 74,970 grams 
B) 15,422.4 grams 
C) 75 grams 
D) 15.4 grams

Question 13

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?

Accepted Answer

A) $204.00 
B) $741.82 
C) $1870.00 
D) $623.33 
A) $204.00 
B) $741.82 
C) $1870.00 
D) $623.33

Question 14

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

Accepted Answer

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 $10 ^ { 8 }$ 
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 $10 ^ { 8 }$

Question 15

Convert the measurement to the units specified. Round your answer to the nearest tenth.
-93 kilometers per hour to miles per hour

Accepted Answer

A) 128.6 miles per hour 
B) 149.7 miles per hour 
C) 57.8 miles per hour 
D) 67.9 miles per hour 
A) 128.6 miles per hour 
B) 149.7 miles per hour 
C) 57.8 miles per hour 
D) 67.9 miles per hour

Question 16

Convert the measurement to the units specified. Round your answer to the nearest tenth.
-23 feet to meters

Accepted Answer

A) 21 meters 
B) 7 meters 
C) 9.1 meters 
D) 75.4 meters 
A) 21 meters 
B) 7 meters 
C) 9.1 meters 
D) 75.4 meters

Question 17

Write as a common fraction.
-$0.746$

Accepted Answer

A)  $\frac { 373 } { 5000 }$ 
B)  $\frac { 373 } { 50 }$ 
C)  $\frac { 373 } { 500 }$ 
D)  $\frac { 373 } { 5 }$ 
A)  $\frac { 373 } { 5000 }$ 
B)  $\frac { 373 } { 50 }$ 
C)  $\frac { 373 } { 500 }$ 
D)  $\frac { 373 } { 5 }$

Question 18

Convert the temperature, as indicated. Round your answer to hundredths, if appropriate.
-$70 ^ { \circ } \mathrm { F }$, into Celsius

Accepted Answer

A)  $56.67 ^ { \circ } \mathrm { C }$ 
B)  $38.89 ^ { \circ } \mathrm { C }$ 
C)  $21.11 ^ { \circ } \mathrm { C }$ 
D)  $38.00 ^ { \circ } \mathrm { C }$ 
A)  $56.67 ^ { \circ } \mathrm { C }$ 
B)  $38.89 ^ { \circ } \mathrm { C }$ 
C)  $21.11 ^ { \circ } \mathrm { C }$ 
D)  $38.00 ^ { \circ } \mathrm { C }$

Question 19

Decide whether the statement makes sense. Explain your reasoning.
-I drove really far, almost 200 kilometers per hour.

Accepted Answer

Does not make sense. Kilometer

Question 20

State how much larger or smaller the first unit is than the second.
-centiliter, microliter

Accepted Answer

A) Smaller by a factor of 1000 
B) Larger by a factor of 1000 
C) Smaller by a factor of 10,000 
D) Larger by a factor of 10,000 
A) Smaller by a factor of 1000 
B) Larger by a factor of 1000 
C) Smaller by a factor of 10,000 
D) Larger by a factor of 10,000

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

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

Answer the following question involving a conversion within the USCS system. -The customer bought a peck of flour. How many cubic inches of flour did he buy?

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.

Solve the problem. -You find a 4-pound nugget that is 20% gold. What is its purity in karats?

Solve the problem. -Find a conversion factor between cubic inches and cubic yards. Write it in three forms.

Solve the problem. -How many cubic inches are in 19 cubic feet?

Solve the problem. -Find a conversion factor between square feet and square yards. Write it in three forms.

Solve the problem. -There are 1000 meters in 1 kilometer. Find a conversion factor between cubic meters and cubic kilometers. Write it in three forms.

Convert the common fraction into decimal form. If necessary, round to the nearest thousandth. - $\frac { 330 } { 66 }$

Convert the measurement to the units specified. Round your answer to the nearest tenth. -34 pounds to grams

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?

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

Convert the measurement to the units specified. Round your answer to the nearest tenth. -93 kilometers per hour to miles per hour

Convert the measurement to the units specified. Round your answer to the nearest tenth. -23 feet to meters

Write as a common fraction. - $0.746$

Convert the temperature, as indicated. Round your answer to hundredths, if appropriate. - $70 ^ { \circ } \mathrm { F }$ , into Celsius

Decide whether the statement makes sense. Explain your reasoning. -I drove really far, almost 200 kilometers per hour.

State how much larger or smaller the first unit is than the second. -centiliter, microliter

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