Question 1

Solve the problem.
-Find the gasoline price index for 1975 using the 1955 price as the reference value. Use the table below. $$\begin{array}{l}
\text { YEAR|GASOLINE PRICE }\
\begin{array} { l | l } 
& \text { (cents per gallon) } \
\hline 1955 & 29.1 \
1965 & 31.2 \
1975 & 56.7 \
1985 & 119.6 \
1995 & 120.5 \
2000 & 155.0 \
2010 & 284.0
\end{array}
\end{array}$$

Accepted Answer

A) 19.5 
B) 51.3 
C) 194.8 
D) 175.3

Question 2

Solve the problem.
-The area of Jose's apartment is 45% more than the area of Alan's apartment. Determine which of the statement's below is true.

Accepted Answer

A) The area of Jose's apartment is 145% more than the area of Alan's apartment. 
B) The area of Jose's apartment is 45% of the area of Alan's apartment. 
C) The area of Jose's apartment is 145% of the area of Alan's apartment. 
D) The area of Alan's apartment is 45% less than the area of Jose's apartment.

Question 3

Solve the problem. Round your answer to the nearest tenth unless otherwise indicated.
-The weight of the child is 6 kilos while the weight of her father is 97.9 kilos. 97.9 kilos is what percent of 6 kilos?

Accepted Answer

A) 16,317.0 
B) 6.1 
C) 1631.7 
D) 0.6

Question 4

Write the percentage as a fraction or decimal, as indicated.
-Write as a fraction. 30%

Accepted Answer

A)  $\frac { 3 } { 5 }$ 
B)  $\frac { 3 } { 20 }$ 
C)  3 
D)  $\frac { 3 } { 10 }$

Question 5

Restate the fact as indicated.
-The population of the United States in 2000 was roughly 280 million. Express this as the number of people per square mile. The land area of the United States is roughly 3,536,000 square miles.

Accepted Answer

A) 0.8 people per square mile 
B) 790 people per square mile 
C) 79 people per square mile 
D) 8 people per square mile

Question 6

Write the percentage as a fraction or decimal, as indicated.
-Write as a decimal. 390%

Accepted Answer

A) 3.9 
B) 0.39 
C) 39 
D) 3.91

Question 7

Use scientific notation to perform the following operations. Leave your answer in scientific notation.
-$\left( 25 \times 10 ^ { - 8 } \right) \div \left( 5 \times 10 ^ { 4 } \right)$

Accepted Answer

A)  $5.0 \times 10 ^ { - 12 }$ 
B)  $10 \times 10 ^ { - 4 }$ 
C)  $5.0 \times 10 ^ { - 4 }$ 
D)  $10 \times 10 ^ { - 12 }$

Question 8

Answer the question.
-Which of the statements below suggests an appropriate level of precision?

Accepted Answer

A) Every day I drive a distance of 75.134 miles to work. 
B) Every day I drive a distance of 76 miles to work. 
C) Every day I drive a distance of 80 miles to work. [to the nearest 10 miles] 
D) Every day I drive a distance of 75.1341 miles to work.

Question 9

Solve the problem.
-Cathy scored 7 times as much as Helen on the test. Determine which of the statement's below is true.

Accepted Answer

A) Cathy's score was 700% of Helen's score. 
B) Helen's score was 600% less than Cathy's score. 
C) Cathy's score was 600% of Helen's score. 
D) Cathy's score was 700% more than Helen's score.

Question 10

Solve the problem. Round your answer to the nearest tenth unless otherwise indicated.
-Best's Computers claims that of its 4280 items in inventory, 3636 items are IBM PC, while the rest are Apple. What percent of total inventory is Apple? Round to the nearest tenth of a percent.

Accepted Answer

A) 0.8% 
B) 6.6% 
C) 15.0% 
D) 85.0%

Question 11

Solve the problem. Round your answer to the nearest tenth unless otherwise indicated.
-Chuck has saved $364 at the bank. He wants to save $2300 for a trip to Alaska. What percent of his goal has been reached?

Accepted Answer

A) 15.8% 
B) 6.3% 
C) 1.6% 
D) 63%

Question 12

Solve the problem. Round your answer to the nearest tenth unless otherwise indicated.
-Alex and Juana went on a 50-mile canoe trip with their class. On the first day they traveled 21 miles. What percent of the total distance was that?

Accepted Answer

A) 200% 
B) 0.42% 
C) 2% 
D) 42%

Question 13

Use scientific notation to solve the problem.
-If you could generate energy by fusing the hydrogen in ordinary tap water, how much water would you need to meet the energy needs of the United States for 35 years? Assume that the energy Released by fusion of hydrogen in one liter of water is  $7 \times 10 ^ { 13 }$ joules and that the U.S. annual Energy consumption i $1 \times 10 ^ { 20 }$ joules. Give your answer in scientific notation.

Accepted Answer

A)  $5 \times 10 ^ { 7 }$ liters 
B)  $5 \times 10 ^ { - 7 }$ liters 
C)  $5 \times 10 ^ { 1.5 }$ liters 
D)  $1.4 \times 10 ^ { 7 }$ liters

Question 14

Measurements are made at two different times. Find the absolute change and then find the percentage change. Roundanswers to the nearest tenth if necessary.
-The value of Anna's house increased from $160,000 when she bought it 20 years ago to $1.38 million today.

Accepted Answer

A)  Absolute change: $\$ - 1,220,000$
Percentage change: 762.5\% 
B)  Absolute change: $\$ 1,220,000$ 
Percentage change: 76.3\% 
C)  Absolute change: $\$ 1,220,000$
Percentage change: $762.5 \%$ 
D)  Absolute change: $\$ 1,220,000$ 
Percentage change: $88.4 \%$

Question 15

Write as a percent.
-0.004

Accepted Answer

A) 0.4% 
B) 4% 
C) 0.0004% 
D) 0.004%

Question 16

Solve the problem.
-Find the gasoline price index for a year in which the cost of gasoline was $0.82 per gallon. Use the 1965 price as the reference value. In 1965, the cost of gasoline was 31.2 cents per gallon.

Accepted Answer

A) 2.6 
B) 38 
C) 262.8 
D) 50.8

Question 17

State the number of significant digits and the implied precision of the given number.
-149.1

Accepted Answer

A) 1 significant digit, precise to the nearest tenth 
B) 4 significant digits, precise to the nearest unit 
C) 4 significant digits, precise to the nearest tenth 
D) 1 significant digit, precise to the nearest unit

Question 18

For the given measurement, briefly describe any likely sources of random error and any likely sources of systematicerror.
-You use your wrist watch to time your friends running 200 meters.

Accepted Answer

The answer of For the given measurement, briefly describe any...

Question 19

Use the Consumer Price Index below to answer the question. $$\begin{array}{l}
\text { Average Annual Consumer Price Index (1982-1984 = 100) }\
\begin{array} { c | c | c | c | c | c } 
\text { Year } & \text { CPI } & \text { Year } & \text { CPI } & \text { Year } & \text { CPI } \
\hline 1986 & 109.6 & 1995 & 152.4 & 2004 & 188.9 \
1987 & 113.6 & 1996 & 156.9 & 2005 & 195.3 \
1988 & 118.3 & 1997 & 160.5 & 2006 & 201.6 \
1989 & 124.0 & 1998 & 163.0 & 2007 & 207.3 \
1990 & 130.7 & 1999 & 166.6 & 2008 & 215.3 \
1991 & 136.2 & 2000 & 172.2 & 2009 & 214.5 \
1992 & 140.3 & 2001 & 177.1 & 2010 & 218.1 \
1993 & 144.5 & 2002 & 179.9 & 2011 & 224.9 \
1994 & 148.2 & 2003 & 184.0 & 2012 & 229.6
\end{array}
\end{array}$$
-In 1991, the federal minimum hourly wage was $3.5. Convert this to 2000 dollars.

Accepted Answer

A) $4.55 
B) $2.86 
C) $4.43 
D) $2.77

Question 20

Find the absolute and relative errors.
-The length of the piece of fabric is 27 inches but you measure it as 25.5 inches.

Accepted Answer

A)  absolute error: $- 1.5$ inches
relative error: $- 5.6 \%$ 
B)  absolute error: $1.5$ inches
 relative error: $5.6 \%$ 
C)  absolute error: $- 1.5$ inches
 relative error: $- 15 \%$ 
D)  absolute error: $- 1.5$ inches
 relative error: $- 5.9 \%$

Exam 3: Numbers in the Real World

Solve the problem. -The area of Jose's apartment is 45% more than the area of Alan's apartment. Determine which of the statement's below is true.

Solve the problem. Round your answer to the nearest tenth unless otherwise indicated. -The weight of the child is 6 kilos while the weight of her father is 97.9 kilos. 97.9 kilos is what percent of 6 kilos?

Write the percentage as a fraction or decimal, as indicated. -Write as a fraction. 30%

Restate the fact as indicated. -The population of the United States in 2000 was roughly 280 million. Express this as the number of people per square mile. The land area of the United States is roughly 3,536,000 square miles.

Write the percentage as a fraction or decimal, as indicated. -Write as a decimal. 390%

Use scientific notation to perform the following operations. Leave your answer in scientific notation. - $\left( 25 \times 10 ^ { - 8 } \right) \div \left( 5 \times 10 ^ { 4 } \right)$

Answer the question. -Which of the statements below suggests an appropriate level of precision?

Solve the problem. -Cathy scored 7 times as much as Helen on the test. Determine which of the statement's below is true.

Solve the problem. Round your answer to the nearest tenth unless otherwise indicated. -Best's Computers claims that of its 4280 items in inventory, 3636 items are IBM PC, while the rest are Apple. What percent of total inventory is Apple? Round to the nearest tenth of a percent.

Solve the problem. Round your answer to the nearest tenth unless otherwise indicated. -Chuck has saved $364 at the bank. He wants to save $2300 for a trip to Alaska. What percent of his goal has been reached?

Solve the problem. Round your answer to the nearest tenth unless otherwise indicated. -Alex and Juana went on a 50-mile canoe trip with their class. On the first day they traveled 21 miles. What percent of the total distance was that?

Measurements are made at two different times. Find the absolute change and then find the percentage change. Roundanswers to the nearest tenth if necessary. -The value of Anna's house increased from $160,000 when she bought it 20 years ago to $1.38 million today.

Write as a percent. -0.004

Solve the problem. -Find the gasoline price index for a year in which the cost of gasoline was $0.82 per gallon. Use the 1965 price as the reference value. In 1965, the cost of gasoline was 31.2 cents per gallon.

State the number of significant digits and the implied precision of the given number. -149.1

For the given measurement, briefly describe any likely sources of random error and any likely sources of systematicerror. -You use your wrist watch to time your friends running 200 meters.

Find the absolute and relative errors. -The length of the piece of fabric is 27 inches but you measure it as 25.5 inches.