Question 1

Identify the property illustrated by the statement.
-9 + 4 = 4 + 9

Accepted Answer

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

Question 2

Solve the problem.
-Anne writes one page in $\frac { 3 } { 4 }$ of an hour. How many pages can she write in $4 \frac { 1 } { 2 }$ hours?

Accepted Answer

A)  4 page(s) 
B)  2 page(s) 
C)  6 page(s) 
D)  8 page(s) 
A)  4 page(s) 
B)  2 page(s) 
C)  6 page(s) 
D)  8 page(s)

Question 3

Use the graph of population change per year for a metro area to answer the question.  
-In which two years did the population of the metro area increase?

Accepted Answer

A) 1998 and 1999 
B) 1999 and 2000 
C) 2000 and 2001 
D) 1997 and 2001 
A) 1998 and 1999 
B) 1999 and 2000 
C) 2000 and 2001 
D) 1997 and 2001

Question 4

Solve the problem.
-A coupon advertises ice cream cones for $0.25$ c. Assuming this is the actual price, how many ice cream cones can you get for $\$ 8$ ?

Accepted Answer

A)  32,000 
B)  320 
C)  3200 
D)  32 
A)  32,000 
B)  320 
C)  3200 
D)  32

Question 5

Perform the indicated operation.
-(-5)(10)(-5)(-3)

Accepted Answer

A) -750 
B) -755 
C) 750 
D) 755 
A) -750 
B) -755 
C) 750 
D) 755

Question 6

Perform the indicated operations.
-$\frac { 4 \cdot ( 7 - 2 ) + 4 \cdot 5 } { 4 \cdot ( 4 - 1 ) }$

Accepted Answer

A)  $4 \frac { 1 } { 3 }$ 
B)  149 
C)  $3 \frac { 1 } { 3 }$ 
D)  2 
A)  $4 \frac { 1 } { 3 }$ 
B)  149 
C)  $3 \frac { 1 } { 3 }$ 
D)  2

Question 7

Round the number to the nearest thousandth, nearest hundredth, and nearest tenth. Remember to round from the original number.
-814.635

Accepted Answer

A) 814.635, 814.64, 814.6 
B) 814.64, 814.6, 814 
C) 814.635, 814.63, 815 
D) 814.635, 814.64, 814 
A) 814.635, 814.64, 814.6 
B) 814.64, 814.6, 814 
C) 814.635, 814.63, 815 
D) 814.635, 814.64, 814

Question 8

Decide whether the rational number yields a repeating or a terminating decimal.
-$\frac { 6 } { 24 }$

Accepted Answer

A) Repeating 
B) Terminating 
A) Repeating 
B) Terminating

Question 9

Write as a percent.
-0.765

Accepted Answer

A) 76.5% 
B) 765% 
C) 0.765% 
D) 0.0765% 
A) 76.5% 
B) 765% 
C) 0.765% 
D) 0.0765%

Question 10

Perform the indicated operations.
-$\frac { ( 3 ) + ( - 5 ) } { ( - 2 ) + ( - 2 ) }$

Accepted Answer

A)  $- \frac { 15 } { 4 }$ 
B)  $- \frac { 1 } { 2 }$ 
C)  $\frac { 15 } { 4 }$ 
D)  $\frac { 1 } { 2 }$ 
A)  $- \frac { 15 } { 4 }$ 
B)  $- \frac { 1 } { 2 }$ 
C)  $\frac { 15 } { 4 }$ 
D)  $\frac { 1 } { 2 }$

Question 11

Perform the operation and reduce the answer to lowest terms.
-$2 \cdot \frac { 5 } { 13 }$

Accepted Answer

A)  $\frac { 16 } { 29 }$ 
B)  $\frac { 1 } { 13 }$ 
C)  $\frac { 5 } { 26 }$ 
D)  $\frac { 10 } { 13 }$ 
A)  $\frac { 16 } { 29 }$ 
B)  $\frac { 1 } { 13 }$ 
C)  $\frac { 5 } { 26 }$ 
D)  $\frac { 10 } { 13 }$

Question 12

Graph the numbers on a number line.
--10, -8, -6, -4

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 13

Find 8.1% of 14 .

Accepted Answer

A) 113.00 
B) 0.11 
C) 1.13 
D) 11.30 
A) 113.00 
B) 0.11 
C) 1.13 
D) 11.30

Question 14

Solve the problem.
-In an economics study, three quantities, $\mathrm { m } , \mathrm { p }$, and $\mathrm { q }$, have been found to be related by the equation $\mathrm { m } = \sqrt { \mathrm { p } } \cdot \sqrt { \mathrm { q } }$. Find $\mathrm { m }$, if $\mathrm { p } = 9$ and $\mathrm { q } = 16$.

Accepted Answer

A)  7 
B)  12 
C)  48 
D)  144 
A)  7 
B)  12 
C)  48 
D)  144

Question 15

Express the rational number as a terminating or repeating decimal number.
-$\frac { 1 } { 4 }$

Accepted Answer

A)  $0.25$ 
B)  $2.5$ 
C)  $0.125$ 
D)  $0.025$ 
A)  $0.25$ 
B)  $2.5$ 
C)  $0.125$ 
D)  $0.025$

Question 16

Use an integer to express the number.
-In one state, the highest point is 4670 feet above sea level.

Accepted Answer

A) -4670 
B) 4670 
A) -4670 
B) 4670

Question 17

Decide whether or not the fractions are equivalent.
-$\frac { 3 } { 8 } \text { and } \frac { 57 } { 152 }$

Accepted Answer

A) Equivalent 
B) Not equivalent 
A) Equivalent 
B) Not equivalent

Question 18

Simplify and evaluate using a calculator.
-$\sqrt { 294 }$

Accepted Answer

A)  $6 \sqrt { 7 } ; 17.1464282$ 
B)  $7 \sqrt { 6 } ; 17.1464282$ 
C)  $7 \sqrt { 42 } ; 17.1464282$ 
D)  $42 ; 42$ 
A)  $6 \sqrt { 7 } ; 17.1464282$ 
B)  $7 \sqrt { 6 } ; 17.1464282$ 
C)  $7 \sqrt { 42 } ; 17.1464282$ 
D)  $42 ; 42$

Question 19

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.
-$\frac { 81 } { 16 }$

Accepted Answer

A)  $6 \frac { 1 } { 16 }$ 
B)  $5 \frac { 3 } { 16 }$ 
C)  $4 \frac { 1 } { 16 }$ 
D)  $5 \frac { 1 } { 16 }$ 
A)  $6 \frac { 1 } { 16 }$ 
B)  $5 \frac { 3 } { 16 }$ 
C)  $4 \frac { 1 } { 16 }$ 
D)  $5 \frac { 1 } { 16 }$

Question 20

Perform the operation and reduce the answer to lowest terms.
-$7 \frac { 7 } { 11 } + 5 \frac { 13 } { 15 }$

Accepted Answer

A)  $13 \frac { 83 } { 165 }$ 
B)  $6 \frac { 8 } { 13 }$ 
C)  $1 \frac { 7 } { 165 }$ 
D)  $85 \frac { 9 } { 13 }$ 
A)  $13 \frac { 83 } { 165 }$ 
B)  $6 \frac { 8 } { 13 }$ 
C)  $1 \frac { 7 } { 165 }$ 
D)  $85 \frac { 9 } { 13 }$

Identify the property illustrated by the statement. -9 + 4 = 4 + 9

Solve the problem. -Anne writes one page in $\frac { 3 } { 4 }$ of an hour. How many pages can she write in $4 \frac { 1 } { 2 }$ hours?

Use the graph of population change per year for a metro area to answer the question. -In which two years did the population of the metro area increase?

Solve the problem. -A coupon advertises ice cream cones for $0.25$ c. Assuming this is the actual price, how many ice cream cones can you get for $\$ 8$ ?

Perform the indicated operation. -(-5)(10)(-5)(-3)

Perform the indicated operations. - $\frac { 4 \cdot ( 7 - 2 ) + 4 \cdot 5 } { 4 \cdot ( 4 - 1 ) }$

Round the number to the nearest thousandth, nearest hundredth, and nearest tenth. Remember to round from the original number. -814.635

Decide whether the rational number yields a repeating or a terminating decimal. - $\frac { 6 } { 24 }$

Write as a percent. -0.765

Perform the indicated operations. - $\frac { ( 3 ) + ( - 5 ) } { ( - 2 ) + ( - 2 ) }$

Perform the operation and reduce the answer to lowest terms. - $2 \cdot \frac { 5 } { 13 }$

Graph the numbers on a number line. --10, -8, -6, -4

Find 8.1% of 14 .

Express the rational number as a terminating or repeating decimal number. - $\frac { 1 } { 4 }$

Use an integer to express the number. -In one state, the highest point is 4670 feet above sea level.

Decide whether or not the fractions are equivalent. - $\frac { 3 } { 8 } \text { and } \frac { 57 } { 152 }$

Simplify and evaluate using a calculator. - $\sqrt { 294 }$

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. - $\frac { 81 } { 16 }$

Perform the operation and reduce the answer to lowest terms. - $7 \frac { 7 } { 11 } + 5 \frac { 13 } { 15 }$

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. -9 + 4 = 4 + 9

Solve the problem. -Anne writes one page in 34\frac { 3 } { 4 }43​ of an hour. How many pages can she write in 4124 \frac { 1 } { 2 }421​ hours?

Use the graph of population change per year for a metro area to answer the question. -In which two years did the population of the metro area increase?

Solve the problem. -A coupon advertises ice cream cones for 0.250.250.25 c. Assuming this is the actual price, how many ice cream cones can you get for $8\$ 8$8 ?

Perform the indicated operation. -(-5)(10)(-5)(-3)

Perform the indicated operations. - 4⋅(7−2)+4⋅54⋅(4−1)\frac { 4 \cdot ( 7 - 2 ) + 4 \cdot 5 } { 4 \cdot ( 4 - 1 ) }4⋅(4−1)4⋅(7−2)+4⋅5​

Round the number to the nearest thousandth, nearest hundredth, and nearest tenth. Remember to round from the original number. -814.635

Decide whether the rational number yields a repeating or a terminating decimal. - 624\frac { 6 } { 24 }246​

Write as a percent. -0.765

Perform the indicated operations. - (3)+(−5)(−2)+(−2)\frac { ( 3 ) + ( - 5 ) } { ( - 2 ) + ( - 2 ) }(−2)+(−2)(3)+(−5)​

Perform the operation and reduce the answer to lowest terms. - 2⋅5132 \cdot \frac { 5 } { 13 }2⋅135​

Graph the numbers on a number line. --10, -8, -6, -4

Find 8.1% of 14 .

Express the rational number as a terminating or repeating decimal number. - 14\frac { 1 } { 4 }41​

Use an integer to express the number. -In one state, the highest point is 4670 feet above sea level.

Decide whether or not the fractions are equivalent. - 38 and 57152\frac { 3 } { 8 } \text { and } \frac { 57 } { 152 }83​ and 15257​

Simplify and evaluate using a calculator. - 294\sqrt { 294 }294​

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. - 8116\frac { 81 } { 16 }1681​

Perform the operation and reduce the answer to lowest terms. - 7711+513157 \frac { 7 } { 11 } + 5 \frac { 13 } { 15 }7117​+51513​

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

Solve the problem. -Anne writes one page in $\frac { 3 } { 4 }$ of an hour. How many pages can she write in $4 \frac { 1 } { 2 }$ hours?

Solve the problem. -A coupon advertises ice cream cones for $0.25$ c. Assuming this is the actual price, how many ice cream cones can you get for $\$ 8$ ?

Perform the indicated operations. - $\frac { 4 \cdot ( 7 - 2 ) + 4 \cdot 5 } { 4 \cdot ( 4 - 1 ) }$

Decide whether the rational number yields a repeating or a terminating decimal. - $\frac { 6 } { 24 }$

Perform the indicated operations. - $\frac { ( 3 ) + ( - 5 ) } { ( - 2 ) + ( - 2 ) }$

Perform the operation and reduce the answer to lowest terms. - $2 \cdot \frac { 5 } { 13 }$

Express the rational number as a terminating or repeating decimal number. - $\frac { 1 } { 4 }$

Decide whether or not the fractions are equivalent. - $\frac { 3 } { 8 } \text { and } \frac { 57 } { 152 }$

Simplify and evaluate using a calculator. - $\sqrt { 294 }$

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. - $\frac { 81 } { 16 }$

Perform the operation and reduce the answer to lowest terms. - $7 \frac { 7 } { 11 } + 5 \frac { 13 } { 15 }$