Question 1

Perform the indicated operation.
-$\frac { 0 } { - 66 }$

Accepted Answer

A)  Undefined 
B)  1 
C)  0 
D)  66 
A)  Undefined 
B)  1 
C)  0 
D)  66

Question 2

Write as a percent.
-$\frac { 3 } { 8 }$

Accepted Answer

A)  $3 \frac { 3 } { 4 } \%$ 
B)  $375 \%$ 
C)  $30 \%$ 
D)  $37 \frac { 1 } { 2 } \%$ 
A)  $3 \frac { 3 } { 4 } \%$ 
B)  $375 \%$ 
C)  $30 \%$ 
D)  $37 \frac { 1 } { 2 } \%$

Question 3

Perform the operation and give the answer as a fraction in lowest terms.
-$\left( - \frac { 7 } { 8 } \right) \div \left( \frac { 3 } { 4 } \right)$

Accepted Answer

A)  $- \frac { 21 } { 32 }$ 
B)  $- \frac { 1 } { 16 }$ 
C)  $ - \frac { 7 } { 6 }$ 
D)  $\frac { 7 } { 48 }$ 
A)  $- \frac { 21 } { 32 }$ 
B)  $- \frac { 1 } { 16 }$ 
C)  $ - \frac { 7 } { 6 }$ 
D)  $\frac { 7 } { 48 }$

Question 4

In a school survey, students showed these preferences for instructional materials. Answer the question.  
-About how many students would you expect to prefer TV in a school of 800 students?

Accepted Answer

A) About 160 students 
B) About 96 students 
C) About 12 students 
D) About 144 students 
A) About 160 students 
B) About 96 students 
C) About 12 students 
D) About 144 students

Question 5

Solve the problem.
-A bird flew 37 feet in 4.7 seconds. How many feet per second did the bird fly? Round to the nearest tenth.

Accepted Answer

A)  $7.9 \mathrm { ft } / \mathrm { sec }$ 
B)  $173.9 \mathrm { ft } / \mathrm { sec }$ 
C)  $32.3 \mathrm { ft } / \mathrm { sec }$ 
D)  $0.1 \mathrm { ft } / \mathrm { sec }$ 
A)  $7.9 \mathrm { ft } / \mathrm { sec }$ 
B)  $173.9 \mathrm { ft } / \mathrm { sec }$ 
C)  $32.3 \mathrm { ft } / \mathrm { sec }$ 
D)  $0.1 \mathrm { ft } / \mathrm { sec }$

Question 6

Solve the problem.
-The Blood Alcohol Concentration (BAC)of a person who has been drinking is given by the formula $\mathrm { BAC } = \frac { \text { ounces of alcohol } \times \text { percent alcohol } \times 0.075 } { \text { body weight in } \mathrm { lb } } - ($ hours of drinking $\times 0.015 ) .$
For example, the BAC for a 150-lb man who in two hours has drunk two 12-ounce beers, each having a $3.3$ percent alcohol content is
$\mathrm { BAC } = \frac { ( 2 \times 12 ) \times 3.3 \times 0.075 } { 150 } = ( 2 \times 0.015 )$
Find the BAC for a 160-lb man who in three hours has drunk 3 12-ounce beers, each having a $3.5$ percent alcohol content.

Accepted Answer

A)  $0.027$ 
B)  $0.015$ 
C)  $0.021$ 
D)  $0.014$ 
A)  $0.027$ 
B)  $0.015$ 
C)  $0.021$ 
D)  $0.014$

Question 7

Use the graph to answer the question.  
-What were the total sales for the first 6 months of 2001?

Accepted Answer

A) $302,000 
B) $286,000 
C) $64,000 
D) $366,000 
A) $302,000 
B) $286,000 
C) $64,000 
D) $366,000

Question 8

Solve the problem.
-A share of $X Y Z$ stock sold for $\$ 14 \frac { 1 } { 3 }$ yesterday and for $\$ 5 \frac { 3 } { 4 }$ today. If Martin owns 70 shares, how much less are the shares worth today than yesterday?

Accepted Answer

A)  $\$ 2060$ 
B)  $\$ 58 \frac { 1 } { 3 }$ 
C)  $\$ 200$ 
D)  $\$ 600 \frac { 5 } { 6 }$ 
A)  $\$ 2060$ 
B)  $\$ 58 \frac { 1 } { 3 }$ 
C)  $\$ 200$ 
D)  $\$ 600 \frac { 5 } { 6 }$

Question 9

Solve the problem.
-A garden has vegetables planted in a 36 ft by 21 ft area. The vegetables are surrounded by a 2-ft border of flowers. By what percent is the area for planting vegetables increased if the 2-ft border of
Flowers is removed?

Accepted Answer

A) 12.6% 
B) 32.3% 
C) 1.1% 
D) 11.5% 
A) 12.6% 
B) 32.3% 
C) 1.1% 
D) 11.5%

Question 10

Decide if the number is rational or irrational.
-$\frac { 5 } { 11 }$

Accepted Answer

A) Rational 
B) Irrational 
A) Rational 
B) Irrational

Question 11

Decide if the statement is true or false.
--(-18)> -21

Accepted Answer

A) True 
 B)False

Question 12

Perform the indicated operations.
-$- 3 \sqrt { 180 } - 7 \sqrt { 45 }$

Accepted Answer

A)  $3 \sqrt { 5 }$ 
B)  $39 \sqrt { 5 }$ 
C)  $- 39 \sqrt { 5 }$ 
D)  $- 3 \sqrt { 5 }$ 
A)  $3 \sqrt { 5 }$ 
B)  $39 \sqrt { 5 }$ 
C)  $- 39 \sqrt { 5 }$ 
D)  $- 3 \sqrt { 5 }$

Question 13

Solve the problem.
-A football team gained 35 yards on one play, lost 14 yards on another, and gained 24 yards on the last play of the first half. They had already gained 310 yards during the half. What was the total
Yardage gain for the first half?

Accepted Answer

A) 355 yards 
B) 383 yards 
C) 369 yards 
D) 265 yards 
A) 355 yards 
B) 383 yards 
C) 369 yards 
D) 265 yards

Question 14

Use McKay's theorem to find a rational number between the two given rational numbers.
-$\frac { 1 } { 2 } \text { and } \frac { 3 } { 7 }$

Accepted Answer

The answer of Use McKay's theorem to find a rational...

Question 15

Perform the operation and reduce the answer to lowest terms.
-$4 \frac { 4 } { 5 } \div 6 \frac { 2 } { 3 }$

Accepted Answer

A)  $1 \frac { 6 } { 5 }$ 
B)  $\frac { 18 } { 25 }$ 
C)  $24 \frac { 6 } { 5 }$ 
D)  $1 \frac { 3 } { 10 }$ 
A)  $1 \frac { 6 } { 5 }$ 
B)  $\frac { 18 } { 25 }$ 
C)  $24 \frac { 6 } { 5 }$ 
D)  $1 \frac { 3 } { 10 }$

Question 16

Write the decimal as a fraction in lowest terms.
-$5.50$

Accepted Answer

A)  $\frac { 1 } { 55 }$ 
B)  $\frac { 11 } { 2 }$ 
C)  11 
D)  $\frac { 11 } { 10 }$ 
A)  $\frac { 1 } { 55 }$ 
B)  $\frac { 11 } { 2 }$ 
C)  11 
D)  $\frac { 11 } { 10 }$

Question 17

Write the fraction in lowest terms.
-$- \frac { 62 } { 86 }$

Accepted Answer

A)  $\frac { 85 } { 61 }$ 
B)  $\frac { 31 } { 43 }$ 
C)  $- \frac { 43 } { 31 }$ 
D)  $- \frac { 31 } { 43 }$ 
A)  $\frac { 85 } { 61 }$ 
B)  $\frac { 31 } { 43 }$ 
C)  $- \frac { 43 } { 31 }$ 
D)  $- \frac { 31 } { 43 }$

Question 18

Provide an appropriate response.
-True or False?
The sum of two irrational numbers is always irrational.

Accepted Answer

A) True 
 B)False

Question 19

Provide an appropriate response.
-True or False?
The quotient of two irrational numbers is always irrational.

Accepted Answer

A) True 
 B)False

Question 20

Perform the operation and give the answer as a fraction in lowest terms.
-$- \frac { 11 } { 14 } + - \frac { 3 } { 5 }$

Accepted Answer

A)  $- \frac { 97 } { 70 }$ 
B)  $\frac { 4 } { 35 }$ 
C)  $\frac { 97 } { 9 }$ 
D)  $- \frac { 8 } { 9 }$ 
A)  $- \frac { 97 } { 70 }$ 
B)  $\frac { 4 } { 35 }$ 
C)  $\frac { 97 } { 9 }$ 
D)  $- \frac { 8 } { 9 }$

Perform the indicated operation. - $\frac { 0 } { - 66 }$

Write as a percent. - $\frac { 3 } { 8 }$

Perform the operation and give the answer as a fraction in lowest terms. - $\left( - \frac { 7 } { 8 } \right) \div \left( \frac { 3 } { 4 } \right)$

In a school survey, students showed these preferences for instructional materials. Answer the question. -About how many students would you expect to prefer TV in a school of 800 students?

Solve the problem. -A bird flew 37 feet in 4.7 seconds. How many feet per second did the bird fly? Round to the nearest tenth.

Use the graph to answer the question. -What were the total sales for the first 6 months of 2001?

Solve the problem. -A share of $X Y Z$ stock sold for $\$ 14 \frac { 1 } { 3 }$ yesterday and for $\$ 5 \frac { 3 } { 4 }$ today. If Martin owns 70 shares, how much less are the shares worth today than yesterday?

Solve the problem. -A garden has vegetables planted in a 36 ft by 21 ft area. The vegetables are surrounded by a 2-ft border of flowers. By what percent is the area for planting vegetables increased if the 2-ft border of Flowers is removed?

Decide if the number is rational or irrational. - $\frac { 5 } { 11 }$

Decide if the statement is true or false. --(-18)> -21

Perform the indicated operations. - $- 3 \sqrt { 180 } - 7 \sqrt { 45 }$

Solve the problem. -A football team gained 35 yards on one play, lost 14 yards on another, and gained 24 yards on the last play of the first half. They had already gained 310 yards during the half. What was the total Yardage gain for the first half?

Use McKay's theorem to find a rational number between the two given rational numbers. - $\frac { 1 } { 2 } \text { and } \frac { 3 } { 7 }$

Perform the operation and reduce the answer to lowest terms. - $4 \frac { 4 } { 5 } \div 6 \frac { 2 } { 3 }$

Write the decimal as a fraction in lowest terms. - $5.50$

Write the fraction in lowest terms. - $- \frac { 62 } { 86 }$

Provide an appropriate response. -True or False? The sum of two irrational numbers is always irrational.

Provide an appropriate response. -True or False? The quotient of two irrational numbers is always irrational.

Perform the operation and give the answer as a fraction in lowest terms. - $- \frac { 11 } { 14 } + - \frac { 3 } { 5 }$

The Art of Problem Solving

The Basic Concepts of Set Theory

Introduction to Logic

Numeration Systems

Number Theory

The Basic Concepts of Algebra

Graphs, Functions, and Systems of Equations and Inequalities

Geometry

Counting Methods

Probability

Statistics

Personal Financial Management

Trigonometry Formerly

Graph Theory

Voting and Apportionment

Filters

Exam 6: The Real Numbers and Their Representations

Perform the indicated operation. - 0−66\frac { 0 } { - 66 }−660​

Write as a percent. - 38\frac { 3 } { 8 }83​

Perform the operation and give the answer as a fraction in lowest terms. - (−78)÷(34)\left( - \frac { 7 } { 8 } \right) \div \left( \frac { 3 } { 4 } \right)(−87​)÷(43​)

In a school survey, students showed these preferences for instructional materials. Answer the question. -About how many students would you expect to prefer TV in a school of 800 students?

Solve the problem. -A bird flew 37 feet in 4.7 seconds. How many feet per second did the bird fly? Round to the nearest tenth.

Use the graph to answer the question. -What were the total sales for the first 6 months of 2001?

Solve the problem. -A share of XYZX Y ZXYZ stock sold for $1413\$ 14 \frac { 1 } { 3 }$1431​ yesterday and for $534\$ 5 \frac { 3 } { 4 }$543​ today. If Martin owns 70 shares, how much less are the shares worth today than yesterday?

Solve the problem. -A garden has vegetables planted in a 36 ft by 21 ft area. The vegetables are surrounded by a 2-ft border of flowers. By what percent is the area for planting vegetables increased if the 2-ft border of Flowers is removed?

Decide if the number is rational or irrational. - 511\frac { 5 } { 11 }115​

Decide if the statement is true or false. --(-18)> -21

Perform the indicated operations. - −3180−745- 3 \sqrt { 180 } - 7 \sqrt { 45 }−3180​−745​

Solve the problem. -A football team gained 35 yards on one play, lost 14 yards on another, and gained 24 yards on the last play of the first half. They had already gained 310 yards during the half. What was the total Yardage gain for the first half?

Use McKay's theorem to find a rational number between the two given rational numbers. - 12 and 37\frac { 1 } { 2 } \text { and } \frac { 3 } { 7 }21​ and 73​

Perform the operation and reduce the answer to lowest terms. - 445÷6234 \frac { 4 } { 5 } \div 6 \frac { 2 } { 3 }454​÷632​

Write the decimal as a fraction in lowest terms. - 5.505.505.50

Write the fraction in lowest terms. - −6286- \frac { 62 } { 86 }−8662​

Provide an appropriate response. -True or False? The sum of two irrational numbers is always irrational.

Provide an appropriate response. -True or False? The quotient of two irrational numbers is always irrational.

Perform the operation and give the answer as a fraction in lowest terms. - −1114+−35- \frac { 11 } { 14 } + - \frac { 3 } { 5 }−1411​+−53​

The Art of Problem Solving

The Basic Concepts of Set Theory

Introduction to Logic

Numeration Systems

Number Theory

The Basic Concepts of Algebra

Graphs, Functions, and Systems of Equations and Inequalities

Geometry

Counting Methods

Probability

Statistics

Personal Financial Management

Trigonometry Formerly

Graph Theory

Voting and Apportionment

Filters

Perform the indicated operation. - $\frac { 0 } { - 66 }$

Write as a percent. - $\frac { 3 } { 8 }$

Perform the operation and give the answer as a fraction in lowest terms. - $\left( - \frac { 7 } { 8 } \right) \div \left( \frac { 3 } { 4 } \right)$

Solve the problem. -A share of $X Y Z$ stock sold for $\$ 14 \frac { 1 } { 3 }$ yesterday and for $\$ 5 \frac { 3 } { 4 }$ today. If Martin owns 70 shares, how much less are the shares worth today than yesterday?

Decide if the number is rational or irrational. - $\frac { 5 } { 11 }$

Perform the indicated operations. - $- 3 \sqrt { 180 } - 7 \sqrt { 45 }$

Use McKay's theorem to find a rational number between the two given rational numbers. - $\frac { 1 } { 2 } \text { and } \frac { 3 } { 7 }$

Perform the operation and reduce the answer to lowest terms. - $4 \frac { 4 } { 5 } \div 6 \frac { 2 } { 3 }$

Write the decimal as a fraction in lowest terms. - $5.50$

Write the fraction in lowest terms. - $- \frac { 62 } { 86 }$

Perform the operation and give the answer as a fraction in lowest terms. - $- \frac { 11 } { 14 } + - \frac { 3 } { 5 }$