Question 1

Decide whether or not the set is closed under multiplication.
-W - {10}

Accepted Answer

A) Not closed 
B) Closed 
A) Not closed 
B) Closed A

Question 2

State the property that is illustrated.
-12 · 0 = 0

Accepted Answer

A) commutative property of multiplication 
B) associative property of multiplication over addition 
C) zero multiplication property 
D) identity property of multiplication 
A) commutative property of multiplication 
B) associative property of multiplication over addition 
C) zero multiplication property 
D) identity property of multiplication C

Question 3

Solve the problem.
-Two different 3-digit numbers contain the same digits. These digits are consecutive digits. What is the greatest difference possible between the two numbers?

Accepted Answer

A) 199 
B) 200 
C) 197 
D) 198 
A) 199 
B) 200 
C) 197 
D) 198 D

Question 4

Find, if possible, the whole number that makes the equation true.
-$$3 \cdot 5 = \square$$

Accepted Answer

A)  5 
B)  1 
C)  3 
D)  15 
A)  5 
B)  1 
C)  3 
D)  15

Question 5

Rewrite the subtraction problem as an equivalent addition problem.
-32 - 8 = x

Accepted Answer

A) 32 + 8 = x 
B) x - 8 = 32 
C) x + 32 = 8 
D) x + 8 = 32 
A) 32 + 8 = x 
B) x - 8 = 32 
C) x + 32 = 8 
D) x + 8 = 32

Question 6

Estimate the following mentally.
-$$92 + 246 + 254 + 108$$

Accepted Answer

A)  710 
B)  715 
C)  725 
D)  700 
A)  710 
B)  715 
C)  725 
D)  700

Question 7

Write the numeral in base ten.
-$42_{ twelve}$

Accepted Answer

A)  50 
B)  29 
C)  70 
D)  92 
A)  50 
B)  29 
C)  70 
D)  92

Question 8

Solve the problem.
-The teacher distributed 104 books between 19 students and had some left over. If she gave each student the same number of books, then how many were left with her?

Accepted Answer

A) 12 
B) 14 
C) 9 
D) 11 
A) 12 
B) 14 
C) 9 
D) 11

Question 9

For the following, write an equivalent numeral in the Hindu-Arabic system.
-

Accepted Answer

A)  101,011 
B)  110,011 
C)  11,011 
D)  1111 
A)  101,011 
B)  110,011 
C)  11,011 
D)  1111

Question 10

Provide an appropriate response.
-$$\text { Show that } 1000 _ { \text {two } } = 10 _ { \text {eight. } }$$

Accepted Answer

The answer of Provide an appropriate response.
-\[\text { Show that...

Question 11

For the given Hindu-Arabic numeral, write an equivalent numeral in the indicated system.
-363; Egyptian

Accepted Answer

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

Question 12

Solve the problem.
-Jake is doing some chores for his father. He takes 50 minutes to clean the garage, 40 minutes to mow the lawn, and 55 minutes to trim the hedges. How much time, expressed in hours and Minutes, did he spend working?

Accepted Answer

A) 2 hr and 30 min 
B) 2 hr and 25 min 
C) 2 hr and 35 min 
D) 2 hr and 40 min 
A) 2 hr and 30 min 
B) 2 hr and 25 min 
C) 2 hr and 35 min 
D) 2 hr and 40 min

Question 13

Write the place value of the underlined numeral.
-

Accepted Answer

A)  Hundred thousands 
B)  Hundreds 
C)  Thousands 
D)  Ten thousands 
A)  Hundred thousands 
B)  Hundreds 
C)  Thousands 
D)  Ten thousands

Question 14

Solve the problem.
-The height of the tower is 9 times the height of the building next to it. If the tower is 36,000 ft tall, then what is the height of the building?

Accepted Answer

A) 5000 ft 
B) 7000 ft 
C) 6000 ft 
D) 4000 ft 
A) 5000 ft 
B) 7000 ft 
C) 6000 ft 
D) 4000 ft

Question 15

State the property that is illustrated.
-3(6 ·5) = (3 ·6) 5

Accepted Answer

A) distributive property of multiplication 
B) commutative property of multiplication over addition 
C) associative property of multiplication 
D) identity property of multiplication 
A) distributive property of multiplication 
B) commutative property of multiplication over addition 
C) associative property of multiplication 
D) identity property of multiplication

Question 16

Perform the indicated operation.
-$34 _{eight}+ 61 _{eight}$

Accepted Answer

A)  None of these 
B)  115 eight 
C)  $106 _ { \text {eight } }$ 
D)  $105 _ { \text {eight } }$ 
A)  None of these 
B)  115 eight 
C)  $106 _ { \text {eight } }$ 
D)  $105 _ { \text {eight } }$

Question 17

Use the distributive property to factor the following.
-$$x ^ { 2 } - x y$$

Accepted Answer

A)  $x ^ { 2 } ( 1 - y )$ 
B)  $y ( x - y )$ 
C)  $x ( x - y )$ 
D)  $x ^ { 2 } ( x - y )$ 
A)  $x ^ { 2 } ( 1 - y )$ 
B)  $y ( x - y )$ 
C)  $x ( x - y )$ 
D)  $x ^ { 2 } ( x - y )$

Question 18

Convert the base-ten number to a number in the indicated base.
-329 to base six

Accepted Answer

A)  $1305 _ { \text {six } }$ 
B)  1530 six 
C)  $135 _ { \text {six } }$ 
D)  1350 six 
A)  $1305 _ { \text {six } }$ 
B)  1530 six 
C)  $135 _ { \text {six } }$ 
D)  1350 six

Question 19

Convert the base-ten number to a number in the indicated base.
-503 to base five

Accepted Answer

A) 4003five 
B) 3004five 
C) 3040five 
D) 4030five 
A) 4003five 
B) 3004five 
C) 3040five 
D) 4030five

Question 20

Write the following as a base-ten numeral.
-$8 \cdot 10 ^ { 0 }$

Accepted Answer

A)  800 
B)  0 
C)  8 
D)  None of these 
A)  800 
B)  0 
C)  8 
D)  None of these

Decide whether or not the set is closed under multiplication. -W - {10}

State the property that is illustrated. -12 · 0 = 0

Solve the problem. -Two different 3-digit numbers contain the same digits. These digits are consecutive digits. What is the greatest difference possible between the two numbers?

Find, if possible, the whole number that makes the equation true. - $3 \cdot 5 = \square$

Rewrite the subtraction problem as an equivalent addition problem. -32 - 8 = x

Estimate the following mentally. - $92 + 246 + 254 + 108$

Write the numeral in base ten. - $42_{ twelve}$

Solve the problem. -The teacher distributed 104 books between 19 students and had some left over. If she gave each student the same number of books, then how many were left with her?

For the following, write an equivalent numeral in the Hindu-Arabic system. -

Provide an appropriate response. - $\text { Show that } 1000 _ { \text {two } } = 10 _ { \text {eight. } }$

For the given Hindu-Arabic numeral, write an equivalent numeral in the indicated system. -363; Egyptian

Solve the problem. -Jake is doing some chores for his father. He takes 50 minutes to clean the garage, 40 minutes to mow the lawn, and 55 minutes to trim the hedges. How much time, expressed in hours and Minutes, did he spend working?

Write the place value of the underlined numeral. -

Solve the problem. -The height of the tower is 9 times the height of the building next to it. If the tower is 36,000 ft tall, then what is the height of the building?

State the property that is illustrated. -3(6 ·5) = (3 ·6) 5

Perform the indicated operation. - $34 _{eight}+ 61 _{eight}$

Use the distributive property to factor the following. - $x ^ { 2 } - x y$

Convert the base-ten number to a number in the indicated base. -329 to base six

Convert the base-ten number to a number in the indicated base. -503 to base five

Write the following as a base-ten numeral. - $8 \cdot 10 ^ { 0 }$

An Introduction to Problem Solving

Introduction to Logic and Sets

Number Theory

Integers

Rational Numbers and Proportional Reasoning

Rational Numbers As Decimals and Percents

Real Numbers and Algebraic Thinking

Probability

Data Analysisstatistics: an Introduction

Introductory Geometry

Congruence and Similarity With Constructions

Congruence and Similarity With Transformations

Area, Pythagorean Theorem, and Volume

Filters

Exam 3: Numeration Systems and Whole Number Operations