Question 1

Decide whether or not the set is closed under multiplication.
-{1, 2, 3, 4, . . ., 40}

Accepted Answer

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

Question 2

State the property that is illustrated.
-2 ·11 = 11 ·2

Accepted Answer

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

Question 3

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

Accepted Answer

A)  4262 
B)  3613 
C)  722 
D)  23 
A)  4262 
B)  3613 
C)  722 
D)  23

Question 4

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

Accepted Answer

A) 3210 
B) 321,000 
C) 321 
D) 32,100 
A) 3210 
B) 321,000 
C) 321 
D) 32,100

Question 5

Decide which property of addition is illustrated.
-(6 + 4) + 1 = 6 + (4 + 1)

Accepted Answer

A) Associative 
B) Commutative 
A) Associative 
B) Commutative

Question 6

Remove or add parentheses as indicated.
-Rewrite $a ( b + c ) - d ( p + q )$ without parentheses.

Accepted Answer

A)  $a b + a c - d p - d q$ 
B)  $a b + a c - d p + d q$ 
C)  $a d + a c - d p - d q$ 
D)  $a b + a c + d p - d q$ 
A)  $a b + a c - d p - d q$ 
B)  $a b + a c - d p + d q$ 
C)  $a d + a c - d p - d q$ 
D)  $a b + a c + d p - d q$

Question 7

For the given Hindu-Arabic numeral, write an equivalent numeral in the indicated system.
-3063; Egyptian

Accepted Answer

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

Question 8

Perform the indicated operation.
-

Accepted Answer

A)  $6 \mathrm { hr } \mathrm {} 48 \mathrm {~min} 22 \mathrm { sec }$ 
B)  $5 \mathrm { hr } 48 \mathrm {~min} 22 \mathrm { sec }$ 
C)  $6 \mathrm { hr } 49 \mathrm {~min} 22 \mathrm { sec }$ 
D)  $5 \mathrm { hr } \mathrm {} 49 \mathrm {~min} 22 \mathrm { sec }$ 
A)  $6 \mathrm { hr } \mathrm {} 48 \mathrm {~min} 22 \mathrm { sec }$ 
B)  $5 \mathrm { hr } 48 \mathrm {~min} 22 \mathrm { sec }$ 
C)  $6 \mathrm { hr } 49 \mathrm {~min} 22 \mathrm { sec }$ 
D)  $5 \mathrm { hr } \mathrm {} 49 \mathrm {~min} 22 \mathrm { sec }$

Question 9

Find the missing numbers.
-$\begin{array}{ccccc}
1 & 2 & (a) & (b) & 3 \
- & (c) & 0 & 1 & (d) \
\hline 5 & 1 & 9 & 8
\end{array}$

Accepted Answer

A)  $( a ) = 2 , ( b ) = 2 , ( c ) = 6 , ( d ) = 5$ 
B)  $( \mathrm { a } ) = 2 , ( \mathrm {~b} ) = 1$, (c) $= 7 , ( \mathrm {~d} ) = 5$ 
C)  $( a ) = 3 , ( b ) = 1 , ( c ) = 7$, (d) $= 4$ 
D)  $( a ) = 3$, (b) $= 1 , ( c ) = 8 , ( d ) = 5$ 
A)  $( a ) = 2 , ( b ) = 2 , ( c ) = 6 , ( d ) = 5$ 
B)  $( \mathrm { a } ) = 2 , ( \mathrm {~b} ) = 1$, (c) $= 7 , ( \mathrm {~d} ) = 5$ 
C)  $( a ) = 3 , ( b ) = 1 , ( c ) = 7$, (d) $= 4$ 
D)  $( a ) = 3$, (b) $= 1 , ( c ) = 8 , ( d ) = 5$

Question 10

Write the numeral in base ten.
-$200 _ { \text {six } }$

Accepted Answer

A)  108 
B)  72 
C)  120 
D)  144 
A)  108 
B)  72 
C)  120 
D)  144

Question 11

Rewrite the problem as a multiplication problem.
-476 ÷ m = 7

Accepted Answer

A) 476 ·7 = m 
B) m = 7 ÷ 476 
C) 476 = 7 · m 
D) 476 · m = 7 
A) 476 ·7 = m 
B) m = 7 ÷ 476 
C) 476 = 7 · m 
D) 476 · m = 7

Question 12

Rewrite the problem as a multiplication problem.
-52 ÷ 4 = 13

Accepted Answer

A) 52 = 13 ·4 
B) 4 = 52 ÷ 13 
C) 13 ·52 = 4 
D) 52 ·4 = 13 
A) 52 = 13 ·4 
B) 4 = 52 ÷ 13 
C) 13 ·52 = 4 
D) 52 ·4 = 13

Question 13

For the given Hindu-Arabic numeral, write an equivalent numeral in the indicated system.
-2022; Roman

Accepted Answer

A) MMCCII 
B) CCXXII 
C) MMXXII 
D) MMCCXX 
A) MMCCII 
B) CCXXII 
C) MMXXII 
D) MMCCXX

Question 14

Perform the indicated operation.
-$110 _ { \text {two } } - 11 _ { \text {two } }$

Accepted Answer

A)  None of these 
B)  $100 _ { \text {two } }$ 
C)  $11 _ { \text {two } }$ 
D)  $10 _ { \text {two } }$ 
A)  None of these 
B)  $100 _ { \text {two } }$ 
C)  $11 _ { \text {two } }$ 
D)  $10 _ { \text {two } }$

Question 15

Provide an appropriate response.
-$$\text { Is it possible to have } 5 _ { \text {two } } \text { ? If not, how should you write this number? }$$

Accepted Answer

The answer of Provide an appropriate response.
-\[\text { Is it...

Question 16

Find, if possible, the whole number that makes the equation true.
-$$\square \div 2 = 0$$

Accepted Answer

A)  1 
B)  No whole number 
C)  2 
D)  0 
A)  1 
B)  No whole number 
C)  2 
D)  0

Question 17

For the given Hindu-Arabic numeral, write an equivalent numeral in the indicated system.
-210; Babylonian

Accepted Answer

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

Question 18

Find the missing numbers.
-

Accepted Answer

A)  $( a ) = 3 , ( b ) = 8 , ( c ) = 6 , ( d ) = 6$ 
B)  $( \mathrm { a } ) = 2 , ( \mathrm {~b} ) = 7 , ( \mathrm { c } ) = 5 , ( \mathrm {~d} ) = 5$ 
C)  $( a ) = 2 , ( b ) = 6 , ( c ) = 5 , ( d ) = 6$ 
D)  $( a ) = 1 , ( b ) = 6 , ( c ) = 4 , ( d ) = 4$ 
A)  $( a ) = 3 , ( b ) = 8 , ( c ) = 6 , ( d ) = 6$ 
B)  $( \mathrm { a } ) = 2 , ( \mathrm {~b} ) = 7 , ( \mathrm { c } ) = 5 , ( \mathrm {~d} ) = 5$ 
C)  $( a ) = 2 , ( b ) = 6 , ( c ) = 5 , ( d ) = 6$ 
D)  $( a ) = 1 , ( b ) = 6 , ( c ) = 4 , ( d ) = 4$

Question 19

Remove or add parentheses as indicated.
-Rewrite $a ( b + c ) - b ( c + a )$ without parentheses.

Accepted Answer

A)  ac - bc 
B)  $a c + b c$ 
C)  $a c + b c + 2 a b$ 
D)  $2 a b + a c - b c$ 
A)  ac - bc 
B)  $a c + b c$ 
C)  $a c + b c + 2 a b$ 
D)  $2 a b + a c - b c$

Question 20

Decide whether or not the set is closed under multiplication.
-$\left\{ 1,3 ^ { 2 } , 3 ^ { 3 } , 3 ^ { 4 } , \ldots \right\}$

Accepted Answer

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

Decide whether or not the set is closed under multiplication. -{1, 2, 3, 4, . . ., 40}

State the property that is illustrated. -2 ·11 = 11 ·2

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

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

Decide which property of addition is illustrated. -(6 + 4) + 1 = 6 + (4 + 1)

Remove or add parentheses as indicated. -Rewrite $a ( b + c ) - d ( p + q )$ without parentheses.

For the given Hindu-Arabic numeral, write an equivalent numeral in the indicated system. -3063; Egyptian

Perform the indicated operation. -

Find the missing numbers. - 1 2 (a) (b) 3 - (c) 0 1 (d) 5 1 9 8

Write the numeral in base ten. - $200 _ { \text {six } }$

Rewrite the problem as a multiplication problem. -476 ÷ m = 7

Rewrite the problem as a multiplication problem. -52 ÷ 4 = 13

For the given Hindu-Arabic numeral, write an equivalent numeral in the indicated system. -2022; Roman

Perform the indicated operation. - $110 _ { \text {two } } - 11 _ { \text {two } }$

Provide an appropriate response. - $\text { Is it possible to have } 5 _ { \text {two } } \text { ? If not, how should you write this number? }$

Find, if possible, the whole number that makes the equation true. - $\square \div 2 = 0$

For the given Hindu-Arabic numeral, write an equivalent numeral in the indicated system. -210; Babylonian

Find the missing numbers. -

Remove or add parentheses as indicated. -Rewrite $a ( b + c ) - b ( c + a )$ without parentheses.

Decide whether or not the set is closed under multiplication. - $\left\{ 1,3 ^ { 2 } , 3 ^ { 3 } , 3 ^ { 4 } , \ldots \right\}$

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