Question 1

Simplify and evaluate using a calculator.
-$- \sqrt { 245 }$

Accepted Answer

A)  $5 \sqrt { 7 } ; 15.6524758$ 
B)  $- 7 \sqrt { 5 } ; - 15.6524758$ 
C)  $- 5 \sqrt { 7 } ; - 15.6524758$ 
D)  $- 35 ; - 35$ 
A)  $5 \sqrt { 7 } ; 15.6524758$ 
B)  $- 7 \sqrt { 5 } ; - 15.6524758$ 
C)  $- 5 \sqrt { 7 } ; - 15.6524758$ 
D)  $- 35 ; - 35$

Question 2

Provide an appropriate response.
-True or False?
 $\frac { \sqrt { 12 } } { \sqrt { 4 } } \text { is irrational. }$

Accepted Answer

A) True 
 B)False

Question 3

Perform the indicated operation.
-$\frac { - 30 } { - 5 }$

Accepted Answer

A) -6 
B) 6 
C) 5 
D) -5 
A) -6 
B) 6 
C) 5 
D) -5

Question 4

Solve the problem.
-George's sandbox requires 28 cubic feet of sand to fill. How many bags of sand does he need to fill the sandbox if each bag holds $\frac { 3 } { 4 }$ cubic feet of sand?

Accepted Answer

A)  38 bags 
B)  37 bags 
C)  22 bags 
D)  21 bags 
A)  38 bags 
B)  37 bags 
C)  22 bags 
D)  21 bags

Question 5

Perform the indicated operation.
--9 - (-8)

Accepted Answer

A) -17 
B) -1 
C) 17 
D) 1 
A) -17 
B) -1 
C) 17 
D) 1

Question 6

Use an integer to express the number.
-Sales at Andrea's Formal Wear Shop were $5519 less this week than the sales last week.

Accepted Answer

A) -5519 
B) 5519 
A) -5519 
B) 5519

Question 7

Identify the property illustrated by the statement.
-(5 ·1)·7 = 5 · (1 ·7)

Accepted Answer

A) Commutative property 
B) Distributive property 
C) Associative property 
D) Multiplicative identity 
A) Commutative property 
B) Distributive property 
C) Associative property 
D) Multiplicative identity

Question 8

Some rational numbers are irrational.

Accepted Answer

A) True 
 B)False

Question 9

Perform the indicated operations.
-$27 \sqrt { 7 } - 6 \sqrt { 7 }$

Accepted Answer

A)  21 
B)  $33 \sqrt { 7 }$ 
C)  147 
D)  $21 \sqrt { 7 }$ 
A)  21 
B)  $33 \sqrt { 7 }$ 
C)  147 
D)  $21 \sqrt { 7 }$

Question 10

Perform the indicated operation.
--4 - 6

Accepted Answer

A) -2 
B) -10 
C) 10 
D) 2 
A) -2 
B) -10 
C) 10 
D) 2

Question 11

Solve the problem.
-A manufacturer's cost is given by $C = 300 ( \sqrt [ 3 ] { n } ) + 200$ dollars, where $C$ is the cost and $n$ is the number of parts produced. Find the cost when 8 parts are produced.

Accepted Answer

A)  $\$ 150$ 
B)  $\$ 500$ 
C)  $\$ 800$ 
D)  $\$ 1049$ 
A)  $\$ 150$ 
B)  $\$ 500$ 
C)  $\$ 800$ 
D)  $\$ 1049$

Question 12

Identify the property illustrated by the statement.
-$( 1 / 9 ) ( 9 ) = 1$

Accepted Answer

A) Addition property 
B) Multiplication property 
C) Inverse property of multiplication 
D) Multiplicative identity 
A) Addition property 
B) Multiplication property 
C) Inverse property of multiplication 
D) Multiplicative identity

Question 13

Use the information in the table to answer the question.
-

Which category had the least change in 1993 ?

Accepted Answer

A)  Postage 
B)  Supplies 
C)  Hospitality 
D)  Publicity 
A)  Postage 
B)  Supplies 
C)  Hospitality 
D)  Publicity

Question 14

The absolute value of any nonzero number is an irrational number.

Accepted Answer

A) True 
 B)False

Question 15

$\frac { 63.6 } { 1.58 + 16.6 }$

Accepted Answer

A)  $2.42488943$ 
B)  $6.05349398$ 
C)  $44.0844899$ 
D)  $3.49834983$ 
A)  $2.42488943$ 
B)  $6.05349398$ 
C)  $44.0844899$ 
D)  $3.49834983$

Question 16

Write the decimal as a fraction in lowest terms.
-$0.582$

Accepted Answer

A)  $\frac { 291 } { 250 }$ 
B)  $\frac { 291 } { 1000 }$ 
C)  $\frac { 1 } { 582 }$ 
D)  $\frac { 291 } { 500 }$ 
A)  $\frac { 291 } { 250 }$ 
B)  $\frac { 291 } { 1000 }$ 
C)  $\frac { 1 } { 582 }$ 
D)  $\frac { 291 } { 500 }$

Question 17

$\text { Write the continued fraction in the form } \frac { p } { q } \text { reduced to lowest terms. }$
-$1 + \frac { 1 } { 1 + \frac { 1 } { 6 + \frac { 1 } { 2 } } }$

Accepted Answer

A)  $\frac { 4 } { 3 }$ 
B)  $\frac { 28 } { 15 }$ 
C)  $\frac { 17 } { 15 }$ 
D)  $\frac { 13 } { 15 }$ 
A)  $\frac { 4 } { 3 }$ 
B)  $\frac { 28 } { 15 }$ 
C)  $\frac { 17 } { 15 }$ 
D)  $\frac { 13 } { 15 }$

Question 18

Every irrational number is an integer.

Accepted Answer

A) True 
 B)False

Question 19

Perform the operation.
-672.4 ÷ 20.5

Accepted Answer

A) 32.8 
B) 33.8 
C) 3.28 
D) 328 
A) 32.8 
B) 33.8 
C) 3.28 
D) 328

Question 20

Find 3 approximations to $\varphi$ given the following Fibonacci numbers: $13,21,34,55$. Which is the best approximation to $\varphi \approx 1.618033988749894848204 \ldots$ rounded to four decimal places?

Accepted Answer

The answer of Find 3 approximations to $\varphi$ given the...

Simplify and evaluate using a calculator. - $- \sqrt { 245 }$

Provide an appropriate response. -True or False? $\frac { \sqrt { 12 } } { \sqrt { 4 } } \text { is irrational. }$

Perform the indicated operation. - $\frac { - 30 } { - 5 }$

Solve the problem. -George's sandbox requires 28 cubic feet of sand to fill. How many bags of sand does he need to fill the sandbox if each bag holds $\frac { 3 } { 4 }$ cubic feet of sand?

Perform the indicated operation. --9 - (-8)

Use an integer to express the number. -Sales at Andrea's Formal Wear Shop were $5519 less this week than the sales last week.

Identify the property illustrated by the statement. -(5 ·1)·7 = 5 · (1 ·7)

Some rational numbers are irrational.

Perform the indicated operations. - $27 \sqrt { 7 } - 6 \sqrt { 7 }$

Perform the indicated operation. --4 - 6

Solve the problem. -A manufacturer's cost is given by $C = 300 ( \sqrt [ 3 ] { n } ) + 200$ dollars, where $C$ is the cost and $n$ is the number of parts produced. Find the cost when 8 parts are produced.

Identify the property illustrated by the statement. - $( 1 / 9 ) ( 9 ) = 1$

Use the information in the table to answer the question. - Which category had the least change in 1993 ?

The absolute value of any nonzero number is an irrational number.

$\frac { 63.6 } { 1.58 + 16.6 }$

Write the decimal as a fraction in lowest terms. - $0.582$

$\text { Write the continued fraction in the form } \frac { p } { q } \text { reduced to lowest terms. }$ - $1 + \frac { 1 } { 1 + \frac { 1 } { 6 + \frac { 1 } { 2 } } }$

Every irrational number is an integer.

Perform the operation. -672.4 ÷ 20.5

Find 3 approximations to $\varphi$ given the following Fibonacci numbers: $13,21,34,55$ . Which is the best approximation to $\varphi \approx 1.618033988749894848204 \ldots$ rounded to four decimal places?

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

Simplify and evaluate using a calculator. - −245- \sqrt { 245 }−245​

Provide an appropriate response. -True or False? 124 is irrational. \frac { \sqrt { 12 } } { \sqrt { 4 } } \text { is irrational. }4​12​​ is irrational.

Perform the indicated operation. - −30−5\frac { - 30 } { - 5 }−5−30​

Solve the problem. -George's sandbox requires 28 cubic feet of sand to fill. How many bags of sand does he need to fill the sandbox if each bag holds 34\frac { 3 } { 4 }43​ cubic feet of sand?

Perform the indicated operation. --9 - (-8)

Use an integer to express the number. -Sales at Andrea's Formal Wear Shop were $5519 less this week than the sales last week.

Identify the property illustrated by the statement. -(5 ·1)·7 = 5 · (1 ·7)

Some rational numbers are irrational.

Perform the indicated operations. - 277−6727 \sqrt { 7 } - 6 \sqrt { 7 }277​−67​

Perform the indicated operation. --4 - 6

Solve the problem. -A manufacturer's cost is given by C=300(n3)+200C = 300 ( \sqrt [ 3 ] { n } ) + 200C=300(3n​)+200 dollars, where CCC is the cost and nnn is the number of parts produced. Find the cost when 8 parts are produced.

Identify the property illustrated by the statement. - (1/9)(9)=1( 1 / 9 ) ( 9 ) = 1(1/9)(9)=1

Use the information in the table to answer the question. - Which category had the least change in 1993 ?

The absolute value of any nonzero number is an irrational number.

63.61.58+16.6\frac { 63.6 } { 1.58 + 16.6 }1.58+16.663.6​

Write the decimal as a fraction in lowest terms. - 0.5820.5820.582

Every irrational number is an integer.

Perform the operation. -672.4 ÷ 20.5

Find 3 approximations to φ\varphiφ given the following Fibonacci numbers: 13,21,34,5513,21,34,5513,21,34,55 . Which is the best approximation to φ≈1.618033988749894848204…\varphi \approx 1.618033988749894848204 \ldotsφ≈1.618033988749894848204… rounded to four decimal places?

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

Simplify and evaluate using a calculator. - $- \sqrt { 245 }$

Provide an appropriate response. -True or False? $\frac { \sqrt { 12 } } { \sqrt { 4 } } \text { is irrational. }$

Perform the indicated operation. - $\frac { - 30 } { - 5 }$

Solve the problem. -George's sandbox requires 28 cubic feet of sand to fill. How many bags of sand does he need to fill the sandbox if each bag holds $\frac { 3 } { 4 }$ cubic feet of sand?

Perform the indicated operations. - $27 \sqrt { 7 } - 6 \sqrt { 7 }$

Solve the problem. -A manufacturer's cost is given by $C = 300 ( \sqrt [ 3 ] { n } ) + 200$ dollars, where $C$ is the cost and $n$ is the number of parts produced. Find the cost when 8 parts are produced.

Identify the property illustrated by the statement. - $( 1 / 9 ) ( 9 ) = 1$

$\frac { 63.6 } { 1.58 + 16.6 }$

Write the decimal as a fraction in lowest terms. - $0.582$

Find 3 approximations to $\varphi$ given the following Fibonacci numbers: $13,21,34,55$ . Which is the best approximation to $\varphi \approx 1.618033988749894848204 \ldots$ rounded to four decimal places?