Question 1

Identify the property illustrated by the statement.
-(2 + 6)+ 7 = (6 + 2)+ 7

Accepted Answer

A) Associative property 
B) Addition property 
C) Commutative property 
D) Distributive property 
A) Associative property 
B) Addition property 
C) Commutative property 
D) Distributive property

Question 2

Identify the property illustrated by the statement.
-2 · 1 = 2

Accepted Answer

A) Multiplication property 
B) Additive identity 
C) Multiplicative identity 
D) Distributive property 
A) Multiplication property 
B) Additive identity 
C) Multiplicative identity 
D) Distributive property

Question 3

Express the rational number as a terminating or repeating decimal number.
-$\frac { 3 } { 7 }$

Accepted Answer

A)  $0.428 \overline { 571 }$ 
B)  $0 . \overline { 42857 }$ 
C)  $0.428571$ 
D)  $0 . \overline { 428571 }$ 
A)  $0.428 \overline { 571 }$ 
B)  $0 . \overline { 42857 }$ 
C)  $0.428571$ 
D)  $0 . \overline { 428571 }$

Question 4

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

For which category is the sum of the changes in 1992 and 1993 equal to zero?

Accepted Answer

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

Question 5

Find the rational number halfway between the two given rational numbers.
-$\frac { 5 } { 12 } , \frac { 5 } { 6 }$

Accepted Answer

A)  $\frac { 5 } { 8 }$ 
B)  $\frac { 10 } { 27 }$ 
C)  $\frac { 5 } { 24 }$ 
D)  $\frac { 5 } { 9 }$ 
A)  $\frac { 5 } { 8 }$ 
B)  $\frac { 10 } { 27 }$ 
C)  $\frac { 5 } { 24 }$ 
D)  $\frac { 5 } { 9 }$

Question 6

Perform the operation and give the answer as a fraction in lowest terms.
-$- \frac { 1 } { 2 } - \frac { 4 } { 9 }$

Accepted Answer

A)  $- \frac { 5 } { 18 }$ 
B)  $- \frac { 17 } { 11 }$ 
C)  $- \frac { 5 } { 11 }$ 
D)  $- \frac { 17 } { 18 }$ 
A)  $- \frac { 5 } { 18 }$ 
B)  $- \frac { 17 } { 11 }$ 
C)  $- \frac { 5 } { 11 }$ 
D)  $- \frac { 17 } { 18 }$

Question 7

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

Which category had the greatest change in 1992 ?

Accepted Answer

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

Question 8

$\text { Write the continued fraction in the form } \frac { p } { q } \text { reduced to lowest terms. }$
-$3 + \frac { 1 } { 1 + \frac { 1 } { 2 + \frac { 1 } { 2 } } }$

Accepted Answer

A)  $\frac { 13 } { 2 }$ 
B)  $\frac { 5 } { 7 }$ 
C)  $\frac { 26 } { 7 }$ 
D)  $\frac { 23 } { 7 }$ 
A)  $\frac { 13 } { 2 }$ 
B)  $\frac { 5 } { 7 }$ 
C)  $\frac { 26 } { 7 }$ 
D)  $\frac { 23 } { 7 }$

Question 9

Solve the problem.
-The Perrones have saved $8600 for a down payment. If a 34% down payment is required, what price house can they buy?

Accepted Answer

A) $253 
B) $292,400 
C) $25,294 
D) $2924 
A) $253 
B) $292,400 
C) $25,294 
D) $2924

Question 10

Evaluate the expression.
-$- \left( 7 ^ { 4 } \right)$

Accepted Answer

A)  2401 
B)  $- 2401$ 
A)  2401 
B)  $- 2401$

Question 11

Evaluate the expression.
-$- \left( - 5 ^ { 3 } \right)$

Accepted Answer

A)  $- 125$ 
B)  125 
A)  $- 125$ 
B)  125

Question 12

Round the number to the nearest thousandth, nearest hundredth, and nearest tenth. Remember to round from the original number.
-45.701

Accepted Answer

A) 45.71, 45.8, 46 
B) 45.701, 45.70, 45.7 
C) 45.702, 45.71, 46 
D) 45.70, 45.7, 45 
A) 45.71, 45.8, 46 
B) 45.701, 45.70, 45.7 
C) 45.702, 45.71, 46 
D) 45.70, 45.7, 45

Question 13

Perform the indicated operations.
-$\frac { 6 ( 2 + 1 ) - 6 ( 1 + 1 ) } { 6 ( 4 - 2 ) - 2 ^ { 3 } }$

Accepted Answer

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

Question 14

Solve the problem.
-A bike road race starts at an elevation of 870 feet and passes through 5 stages where the elevation changes by -438 ft, 574 ft, -134 ft, 514 ft, and 317 ft. At what elevation does the race end?

Accepted Answer

A) 1565 ft 
B) 1703 ft 
C) -2847 ft 
D) 2847 ft 
A) 1565 ft 
B) 1703 ft 
C) -2847 ft 
D) 2847 ft

Question 15

Solve the problem.
-Six college buddies bought each other Christmas gifts. They spent $191.43, $229.06, $253.42, $237.83, $269.94, and $143.06. Find the average amount spent for Christmas gifts.

Accepted Answer

A) $331.19 
B) $252.95 
C) $264.95 
D) $220.79 
A) $331.19 
B) $252.95 
C) $264.95 
D) $220.79

Question 16

Use the chart to answer the question.
-The NSC (Not So Consistent)Corporation has just completed its first year of business. The following chart shows its monthly profit (or loss). $\begin{array}{lr}
\text { Month } & \text { Profit (Loss) in Dollars } \
\hline \text { January } & -14,526 \
\text { February } & 1874 \
\text { March } & -8977 \
\text { April } & -14,107 \
\text { May } & 14,073 \
\text { June } & 14,632 \
\text { July } & -13,834 \
\text { August } & -13,170 \
\text { September } & -4860 \
\text { October } & 6630 \
\text { November } & -3338 \
\text { December } & -974
\end{array}$

What is the net profit (or loss) for the year?

Accepted Answer

A)  A loss $\$ 73,786$ 
B)  a loss of $\$ 36,577$ 
C)  A profit of $\$ 634$ 
D)  A profit of $\$ 37,209$ 
A)  A loss $\$ 73,786$ 
B)  a loss of $\$ 36,577$ 
C)  A profit of $\$ 634$ 
D)  A profit of $\$ 37,209$

Question 17

What is 87% of 381?

Accepted Answer

A) 331.47 
B) 33,147.00 
C) 33.15 
D) 3314.70 
A) 331.47 
B) 33,147.00 
C) 33.15 
D) 3314.70

Question 18

Identify the property illustrated by the statement.
-7 + (-7)= 0

Accepted Answer

A) Inverse property of addition 
B) Additive identity 
C) Addition property 
D) Multiplicative identity 
A) Inverse property of addition 
B) Additive identity 
C) Addition property 
D) Multiplicative identity

Question 19

Identify the property illustrated by the statement.
-6 + (6 + 9)= (6 + 6)+ 9

Accepted Answer

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

Question 20

Simplify the complex fraction.
-$\frac { \frac { 1 } { 8 } - \frac { 1 } { 9 } } { \frac { 1 } { 16 } - \frac { 1 } { 18 } }$

Accepted Answer

A)  $\frac { 1 } { 2 }$ 
B)  $- \frac { 1 } { 2 }$ 
C)  $- 2$ 
D)  2 
A)  $\frac { 1 } { 2 }$ 
B)  $- \frac { 1 } { 2 }$ 
C)  $- 2$ 
D)  2

Identify the property illustrated by the statement. -(2 + 6)+ 7 = (6 + 2)+ 7

Identify the property illustrated by the statement. -2 · 1 = 2

Express the rational number as a terminating or repeating decimal number. - $\frac { 3 } { 7 }$

Use the information in the table to answer the question. - For which category is the sum of the changes in 1992 and 1993 equal to zero?

Find the rational number halfway between the two given rational numbers. - $\frac { 5 } { 12 } , \frac { 5 } { 6 }$

Perform the operation and give the answer as a fraction in lowest terms. - $- \frac { 1 } { 2 } - \frac { 4 } { 9 }$

Use the information in the table to answer the question. - Which category had the greatest change in 1992 ?

$\text { Write the continued fraction in the form } \frac { p } { q } \text { reduced to lowest terms. }$ - $3 + \frac { 1 } { 1 + \frac { 1 } { 2 + \frac { 1 } { 2 } } }$

Solve the problem. -The Perrones have saved $8600 for a down payment. If a 34% down payment is required, what price house can they buy?

Evaluate the expression. - $- \left( 7 ^ { 4 } \right)$

Evaluate the expression. - $- \left( - 5 ^ { 3 } \right)$

Round the number to the nearest thousandth, nearest hundredth, and nearest tenth. Remember to round from the original number. -45.701

Perform the indicated operations. - $\frac { 6 ( 2 + 1 ) - 6 ( 1 + 1 ) } { 6 ( 4 - 2 ) - 2 ^ { 3 } }$

Solve the problem. -A bike road race starts at an elevation of 870 feet and passes through 5 stages where the elevation changes by -438 ft, 574 ft, -134 ft, 514 ft, and 317 ft. At what elevation does the race end?

Solve the problem. -Six college buddies bought each other Christmas gifts. They spent $191.43, $229.06, $253.42, $237.83, $269.94, and $143.06. Find the average amount spent for Christmas gifts.

What is 87% of 381?

Identify the property illustrated by the statement. -7 + (-7)= 0

Identify the property illustrated by the statement. -6 + (6 + 9)= (6 + 6)+ 9

Simplify the complex fraction. - $\frac { \frac { 1 } { 8 } - \frac { 1 } { 9 } } { \frac { 1 } { 16 } - \frac { 1 } { 18 } }$

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

Identify the property illustrated by the statement. -(2 + 6)+ 7 = (6 + 2)+ 7

Identify the property illustrated by the statement. -2 · 1 = 2

Express the rational number as a terminating or repeating decimal number. - 37\frac { 3 } { 7 }73​

Use the information in the table to answer the question. - For which category is the sum of the changes in 1992 and 1993 equal to zero?

Find the rational number halfway between the two given rational numbers. - 512,56\frac { 5 } { 12 } , \frac { 5 } { 6 }125​,65​

Perform the operation and give the answer as a fraction in lowest terms. - −12−49- \frac { 1 } { 2 } - \frac { 4 } { 9 }−21​−94​

Use the information in the table to answer the question. - Which category had the greatest change in 1992 ?

Solve the problem. -The Perrones have saved $8600 for a down payment. If a 34% down payment is required, what price house can they buy?

Evaluate the expression. - −(74)- \left( 7 ^ { 4 } \right)−(74)

Evaluate the expression. - −(−53)- \left( - 5 ^ { 3 } \right)−(−53)

Round the number to the nearest thousandth, nearest hundredth, and nearest tenth. Remember to round from the original number. -45.701

Perform the indicated operations. - 6(2+1)−6(1+1)6(4−2)−23\frac { 6 ( 2 + 1 ) - 6 ( 1 + 1 ) } { 6 ( 4 - 2 ) - 2 ^ { 3 } }6(4−2)−236(2+1)−6(1+1)​

Solve the problem. -A bike road race starts at an elevation of 870 feet and passes through 5 stages where the elevation changes by -438 ft, 574 ft, -134 ft, 514 ft, and 317 ft. At what elevation does the race end?

Solve the problem. -Six college buddies bought each other Christmas gifts. They spent $191.43, $229.06, $253.42, $237.83, $269.94, and $143.06. Find the average amount spent for Christmas gifts.

What is 87% of 381?

Identify the property illustrated by the statement. -7 + (-7)= 0

Identify the property illustrated by the statement. -6 + (6 + 9)= (6 + 6)+ 9

Simplify the complex fraction. - 18−19116−118\frac { \frac { 1 } { 8 } - \frac { 1 } { 9 } } { \frac { 1 } { 16 } - \frac { 1 } { 18 } }161​−181​81​−91​​

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

Express the rational number as a terminating or repeating decimal number. - $\frac { 3 } { 7 }$

Find the rational number halfway between the two given rational numbers. - $\frac { 5 } { 12 } , \frac { 5 } { 6 }$

Perform the operation and give the answer as a fraction in lowest terms. - $- \frac { 1 } { 2 } - \frac { 4 } { 9 }$

Evaluate the expression. - $- \left( 7 ^ { 4 } \right)$

Evaluate the expression. - $- \left( - 5 ^ { 3 } \right)$

Perform the indicated operations. - $\frac { 6 ( 2 + 1 ) - 6 ( 1 + 1 ) } { 6 ( 4 - 2 ) - 2 ^ { 3 } }$

Simplify the complex fraction. - $\frac { \frac { 1 } { 8 } - \frac { 1 } { 9 } } { \frac { 1 } { 16 } - \frac { 1 } { 18 } }$