Question 1

Write as a percent.
-$\frac { 17 } { 8 }$

Accepted Answer

A)  $2 \frac { 1 } { 8 } \%$ 
B)  $212 \frac { 1 } { 2 } \%$ 
C)  $106 \frac { 1 } { 4 } \%$ 
D)  $21 \frac { 1 } { 4 } \%$ 
A)  $2 \frac { 1 } { 8 } \%$ 
B)  $212 \frac { 1 } { 2 } \%$ 
C)  $106 \frac { 1 } { 4 } \%$ 
D)  $21 \frac { 1 } { 4 } \%$

Question 2

Use McKay's theorem to find a rational number between the two given rational numbers.
-$2 \text { and } \frac { 13 } { 3 }$

Accepted Answer

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

Question 3

Find the rational number halfway between the two given rational numbers.
-$\frac { 1 } { 4 } , \frac { 3 } { 8 }$

Accepted Answer

A)  $\frac { 1 } { 3 }$ 
B)  $\frac { 1 } { 16 }$ 
C)  $\frac { 1 } { 2 }$ 
D)  $\frac { 5 } { 16 }$ 
A)  $\frac { 1 } { 3 }$ 
B)  $\frac { 1 } { 16 }$ 
C)  $\frac { 1 } { 2 }$ 
D)  $\frac { 5 } { 16 }$

Question 4

Solve the problem.
-Bill kept track of the number of hours he spent exercising each week. The results for four months are shown below. Find the average number of hours Bill spent exercising per week. Round your
Answer to two decimal places. 
$\begin{array} { c c c c c c } 
7.00 & 8.80 & 7.90 & 7.50 & 6.60 & 7.00 \
8.50 & 7.90 & 7.80 & 7.00 & 7.50 & 9.00 \
7.40 & 8.80 & 8.80 & 6.50 & 6.60 & 8.50
\end{array}$

Accepted Answer

A) 8.18 
B) 7.73 
C) 7.95 
D) 7.32 
A) 8.18 
B) 7.73 
C) 7.95 
D) 7.32

Question 5

Write as a percent.
-$\frac { 8 } { 15 }$

Accepted Answer

A)  $50 \%$ 
B)  $5 \frac { 1 } { 3 } \%$ 
C)  $53 \frac { 1 } { 3 } \%$ 
D)  $26 \frac { 2 } { 3 } \%$ 
A)  $50 \%$ 
B)  $5 \frac { 1 } { 3 } \%$ 
C)  $53 \frac { 1 } { 3 } \%$ 
D)  $26 \frac { 2 } { 3 } \%$

Question 6

If the number given is a mixed number, convert it to a fraction. If the number is given as a fraction, convert it to a mixed number.
-$3 \frac { 10 } { 14 }$

Accepted Answer

A)  $\frac { 53 } { 14 }$ 
B)  $\frac { 13 } { 14 }$ 
C)  $\frac { 26 } { 7 }$ 
D)  $\frac { 22 } { 7 }$ 
A)  $\frac { 53 } { 14 }$ 
B)  $\frac { 13 } { 14 }$ 
C)  $\frac { 26 } { 7 }$ 
D)  $\frac { 22 } { 7 }$

Question 7

Solve the problem.
-The ocean surface is at 0 ft elevation. A diver is underwater at an elevation of -127 ft near a rock formation. In this area, the ocean floor has an elevation of -399 ft. The rock formation rises to a
Peak 238 ft above the ocean floor. How many feet above the top of the rock formation is the diver?

Accepted Answer

A) 161 ft 
B) 111 ft 
C) 34 ft 
D) 272 ft 
A) 161 ft 
B) 111 ft 
C) 34 ft 
D) 272 ft

Question 8

Choose the expression that is equivalent to the given rational number.
-$\frac { 7 } { 9 }$

Accepted Answer

A)  $0 . \overline { 7 }$ 
B)  $\frac { 14 } { 16 }$ 
C)  $0.78$ 
D)  $\frac { 9 } { 7 }$ 
A)  $0 . \overline { 7 }$ 
B)  $\frac { 14 } { 16 }$ 
C)  $0.78$ 
D)  $\frac { 9 } { 7 }$

Question 9

List all the elements of B that belong to the specified set.
-$B = \left\{ 4 , \sqrt { 6 } , - 10,0 , \frac { 4 } { 7 } , - \frac { 7 } { 4 } , 1.7 , \sqrt { 4 } \right\}$
Integers

Accepted Answer

A)  $4,0$ 
B)  $4 , - 10,0$ 
C)  $4 , - 10,0 , \sqrt { 4 }$ 
D)  $4,0 , \sqrt { 4 }$ 
A)  $4,0$ 
B)  $4 , - 10,0$ 
C)  $4 , - 10,0 , \sqrt { 4 }$ 
D)  $4,0 , \sqrt { 4 }$

Question 10

Choose the expression that is equivalent to the given rational number.
-$\frac { 7 } { 11 }$

Accepted Answer

A)  $0.64$ 
B)  $0.6 \overline { 3 }$ 
C)  $\frac { 28 } { 44 }$ 
D)  $\frac { 11 } { 7 }$ 
A)  $0.64$ 
B)  $0.6 \overline { 3 }$ 
C)  $\frac { 28 } { 44 }$ 
D)  $\frac { 11 } { 7 }$

Question 11

Every rational number is an integer.

Accepted Answer

A) True 
 B)False

Question 12

Write the decimal as a fraction in lowest terms.
-$0.676$

Accepted Answer

A)  $\frac { 169 } { 500 }$ 
B)  $\frac { 1 } { 676 }$ 
C)  $\frac { 169 } { 250 }$ 
D)  $\frac { 169 } { 125 }$ 
A)  $\frac { 169 } { 500 }$ 
B)  $\frac { 1 } { 676 }$ 
C)  $\frac { 169 } { 250 }$ 
D)  $\frac { 169 } { 125 }$

Question 13

Evaluate the expression.
-$- ( - 5 ) ^ { 4 }$

Accepted Answer

A)  625 
B)  $- 625$ 
A)  625 
B)  $- 625$

Question 14

Perform the operation.
-7.612 - 2.424

Accepted Answer

A) -10.036 
B) 5.288 
C) 10.036 
D) 5.188 
A) -10.036 
B) 5.288 
C) 10.036 
D) 5.188

Question 15

If the number given is a mixed number, convert it to a fraction. If the number is given as a fraction, convert it to a mixed number.
-$\frac { 49 } { 15 }$

Accepted Answer

A)  $3 \frac { 4 } { 15 }$ 
B)  $2 \frac { 4 } { 15 }$ 
C)  $3 \frac { 2 } { 5 }$ 
D)  $4 \frac { 4 } { 15 }$ 
A)  $3 \frac { 4 } { 15 }$ 
B)  $2 \frac { 4 } { 15 }$ 
C)  $3 \frac { 2 } { 5 }$ 
D)  $4 \frac { 4 } { 15 }$

Question 16

Use the information in the table to answer the question.
-  Which category had the greatest change in 2006?

Accepted Answer

A) Telephone 
B) Hospitality 
C) Decorations 
D) Supplies 
A) Telephone 
B) Hospitality 
C) Decorations 
D) Supplies

Question 17

Solve the problem.
-The time, $T$, in seconds required for a pendulum of length $\mathrm { L }$ feet to make one swing is given by $\mathrm { T } = 2 \pi \sqrt { \frac { \mathrm { L } } { 32 } }$. How long is a pendulum (to the nearest hundredth of a foot) if it makes one swing in 2 seconds?

Accepted Answer

A)  $10.19 \mathrm { ft }$ 
B)  $6.48 \mathrm { ft }$ 
C)  $3.56 \mathrm { ft }$ 
D)  $3.24 \mathrm { ft }$ 
A)  $10.19 \mathrm { ft }$ 
B)  $6.48 \mathrm { ft }$ 
C)  $3.56 \mathrm { ft }$ 
D)  $3.24 \mathrm { ft }$

Question 18

Solve the problem. Round to the nearest hundredth.
-47% of what number is 83?

Accepted Answer

A) 176.60 
B) 0.57 
C) 1766.00 
D) 57.00 
A) 176.60 
B) 0.57 
C) 1766.00 
D) 57.00

Question 19

Solve the problem.
-The six Cane brothers spent $75.81, $66.88, $50.99, $64.12, $55.85, and $71.35 on groceries. Find the average grocery bill.

Accepted Answer

A) $64.17 
B) $77.00 
C) $96.25 
D) $65.00 
A) $64.17 
B) $77.00 
C) $96.25 
D) $65.00

Question 20

Perform the operation and give the answer as a fraction in lowest terms.
-$\left( - \frac { 2 } { 3 } \right) \div \left( - \frac { 1 } { 10 } \right)$

Accepted Answer

A)  $\frac { 2 } { 3 }$ 
B)  $- \frac { 9 } { 22 }$ 
C)  $\frac { 1 } { 15 }$ 
D)  $\frac { 20 } { 3 }$ 
A)  $\frac { 2 } { 3 }$ 
B)  $- \frac { 9 } { 22 }$ 
C)  $\frac { 1 } { 15 }$ 
D)  $\frac { 20 } { 3 }$

Write as a percent. - $\frac { 17 } { 8 }$

Use McKay's theorem to find a rational number between the two given rational numbers. - $2 \text { and } \frac { 13 } { 3 }$

Find the rational number halfway between the two given rational numbers. - $\frac { 1 } { 4 } , \frac { 3 } { 8 }$

Write as a percent. - $\frac { 8 } { 15 }$

If the number given is a mixed number, convert it to a fraction. If the number is given as a fraction, convert it to a mixed number. - $3 \frac { 10 } { 14 }$

Choose the expression that is equivalent to the given rational number. - $\frac { 7 } { 9 }$

List all the elements of B that belong to the specified set. - $B = \left\{ 4 , \sqrt { 6 } , - 10,0 , \frac { 4 } { 7 } , - \frac { 7 } { 4 } , 1.7 , \sqrt { 4 } \right\}$ Integers

Choose the expression that is equivalent to the given rational number. - $\frac { 7 } { 11 }$

Every rational number is an integer.

Write the decimal as a fraction in lowest terms. - $0.676$

Evaluate the expression. - $- ( - 5 ) ^ { 4 }$

Perform the operation. -7.612 - 2.424

If the number given is a mixed number, convert it to a fraction. If the number is given as a fraction, convert it to a mixed number. - $\frac { 49 } { 15 }$

Use the information in the table to answer the question. - Which category had the greatest change in 2006?

Solve the problem. -The time, $T$ , in seconds required for a pendulum of length $\mathrm { L }$ feet to make one swing is given by $\mathrm { T } = 2 \pi \sqrt { \frac { \mathrm { L } } { 32 } }$ . How long is a pendulum (to the nearest hundredth of a foot) if it makes one swing in 2 seconds?

Solve the problem. Round to the nearest hundredth. -47% of what number is 83?

Solve the problem. -The six Cane brothers spent $75.81, $66.88, $50.99, $64.12, $55.85, and $71.35 on groceries. Find the average grocery bill.

Perform the operation and give the answer as a fraction in lowest terms. - $\left( - \frac { 2 } { 3 } \right) \div \left( - \frac { 1 } { 10 } \right)$

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

Write as a percent. - 178\frac { 17 } { 8 }817​

Use McKay's theorem to find a rational number between the two given rational numbers. - 2 and 1332 \text { and } \frac { 13 } { 3 }2 and 313​

Find the rational number halfway between the two given rational numbers. - 14,38\frac { 1 } { 4 } , \frac { 3 } { 8 }41​,83​

Write as a percent. - 815\frac { 8 } { 15 }158​

If the number given is a mixed number, convert it to a fraction. If the number is given as a fraction, convert it to a mixed number. - 310143 \frac { 10 } { 14 }31410​

Choose the expression that is equivalent to the given rational number. - 79\frac { 7 } { 9 }97​

List all the elements of B that belong to the specified set. - B={4,6,−10,0,47,−74,1.7,4}B = \left\{ 4 , \sqrt { 6 } , - 10,0 , \frac { 4 } { 7 } , - \frac { 7 } { 4 } , 1.7 , \sqrt { 4 } \right\}B={4,6​,−10,0,74​,−47​,1.7,4​} Integers

Choose the expression that is equivalent to the given rational number. - 711\frac { 7 } { 11 }117​

Every rational number is an integer.

Write the decimal as a fraction in lowest terms. - 0.6760.6760.676

Evaluate the expression. - −(−5)4- ( - 5 ) ^ { 4 }−(−5)4

Perform the operation. -7.612 - 2.424

If the number given is a mixed number, convert it to a fraction. If the number is given as a fraction, convert it to a mixed number. - 4915\frac { 49 } { 15 }1549​

Use the information in the table to answer the question. - Which category had the greatest change in 2006?

Solve the problem. Round to the nearest hundredth. -47% of what number is 83?

Solve the problem. -The six Cane brothers spent $75.81, $66.88, $50.99, $64.12, $55.85, and $71.35 on groceries. Find the average grocery bill.

Perform the operation and give the answer as a fraction in lowest terms. - (−23)÷(−110)\left( - \frac { 2 } { 3 } \right) \div \left( - \frac { 1 } { 10 } \right)(−32​)÷(−101​)

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

Write as a percent. - $\frac { 17 } { 8 }$

Use McKay's theorem to find a rational number between the two given rational numbers. - $2 \text { and } \frac { 13 } { 3 }$

Find the rational number halfway between the two given rational numbers. - $\frac { 1 } { 4 } , \frac { 3 } { 8 }$

Write as a percent. - $\frac { 8 } { 15 }$

If the number given is a mixed number, convert it to a fraction. If the number is given as a fraction, convert it to a mixed number. - $3 \frac { 10 } { 14 }$

Choose the expression that is equivalent to the given rational number. - $\frac { 7 } { 9 }$

List all the elements of B that belong to the specified set. - $B = \left\{ 4 , \sqrt { 6 } , - 10,0 , \frac { 4 } { 7 } , - \frac { 7 } { 4 } , 1.7 , \sqrt { 4 } \right\}$ Integers

Choose the expression that is equivalent to the given rational number. - $\frac { 7 } { 11 }$

Write the decimal as a fraction in lowest terms. - $0.676$

Evaluate the expression. - $- ( - 5 ) ^ { 4 }$

If the number given is a mixed number, convert it to a fraction. If the number is given as a fraction, convert it to a mixed number. - $\frac { 49 } { 15 }$

Perform the operation and give the answer as a fraction in lowest terms. - $\left( - \frac { 2 } { 3 } \right) \div \left( - \frac { 1 } { 10 } \right)$