Question 1

Use the method suggested to compute mentally.
-Use trading off.

Accepted Answer

A)  161 
B)  166 
C)  164 
D)  156 
A)  161 
B)  166 
C)  164 
D)  156

Question 2

Solve the problem.
-Jamie is planning to start her own business. She has saved $1100 for this purpose. She estimates a cost of $880 for materials and $480 for advertising. By how much money is she falling short?

Accepted Answer

A) $2460 
B) $260 
C) $700 
D) $1500 
A) $2460 
B) $260 
C) $700 
D) $1500

Question 3

Estimate the following mentally.
-$$90 + 53 - 253 + 410$$

Accepted Answer

A)  350 
B)  300 
C)  625 
D)  700 
A)  350 
B)  300 
C)  625 
D)  700

Question 4

Convert the following.
-105 hours to days and hours

Accepted Answer

A) 4 days and 9 hr 
B) 5 days and 9 hr 
C) 6 days and 9 hr 
D) 4 days and 10 hr 
A) 4 days and 9 hr 
B) 5 days and 9 hr 
C) 6 days and 9 hr 
D) 4 days and 10 hr

Question 5

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

Accepted Answer

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

Question 6

Find, if possible, the whole number that makes the equation true.
-35=21+2.$\square$

Accepted Answer

A)  14 
B)  0 
C)  7 
D)  Any whole number 
A)  14 
B)  0 
C)  7 
D)  Any whole number

Question 7

Solve the problem.
-The sum of the digits of a 3-digit number is 18. The units digit is one less than the tens digit and the tens digit is one less than the hundreds. What is the number?

Accepted Answer

A) 865 
B) 876 
C) 765 
D) None of these 
A) 865 
B) 876 
C) 765 
D) None of these

Question 8

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

Accepted Answer

A)  1011 
B)  111 
C)  1100 
D)  1101 
A)  1011 
B)  111 
C)  1100 
D)  1101

Question 9

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

Accepted Answer

A) 2146 
B) 1946 
C) 2166 
D) 1966 
A) 2146 
B) 1946 
C) 2166 
D) 1966

Question 10

Solve the problem.
-During his first year of college, John incurs the following expenses: $3000 on tuition, $1000 on books, $3600 on food, and $8000 on rent. If John earned $9000 during the year by working Part-time, and the rest of the expenses were paid by his parents, how much did his parents pay?

Accepted Answer

A) $4600 
B) $24,600 
C) $6600 
D) $5600 
A) $4600 
B) $24,600 
C) $6600 
D) $5600

Question 11

Use the distributive property to factor the following.
-$$( y + 1 ) x - ( y + 1 )$$

Accepted Answer

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

Question 12

Write the numeral in base ten.
-$25_{ eight}$

Accepted Answer

A)  33 
B)  21 
C)  133 
D)  165 
A)  33 
B)  21 
C)  133 
D)  165

Question 13

Provide an appropriate response.
-Determine what is wrong with the following: $$\begin{array} { r } 
139 \
+ \quad 24 \
\hline 153
\end{array}$$

Accepted Answer

Regrouping was not p

Question 14

Convert the base-ten number to a number in the indicated base.
-396 to base twelve

Accepted Answer

A)  $290 _ { \text {twelve } }$ 
B)  $25 E _ { \text {twelve } }$ 
C)  $11 \mathrm {~T} _ { \text {twelve } }$ 
D)  $32 E _ { \text {twelve } }$ 
A)  $290 _ { \text {twelve } }$ 
B)  $25 E _ { \text {twelve } }$ 
C)  $11 \mathrm {~T} _ { \text {twelve } }$ 
D)  $32 E _ { \text {twelve } }$

Question 15

Remove or add parentheses as indicated.
-Place parentheses to make the equation $a + b \cdot a + b = a ^ { 2 } + 2 a b + b ^ { 2 }$ true.

Accepted Answer

A)  $a + b \cdot ( a + b ) = a ^ { 2 } + 2 a b + b ^ { 2 }$ 
B)  $( a + b ) \cdot ( a + b ) = a ^ { 2 } + 2 a b + b ^ { 2 }$ 
C)  None needed. 
D)  $( a + b ) \cdot a + b = a ^ { 2 } + 2 a b + b ^ { 2 }$ 
A)  $a + b \cdot ( a + b ) = a ^ { 2 } + 2 a b + b ^ { 2 }$ 
B)  $( a + b ) \cdot ( a + b ) = a ^ { 2 } + 2 a b + b ^ { 2 }$ 
C)  None needed. 
D)  $( a + b ) \cdot a + b = a ^ { 2 } + 2 a b + b ^ { 2 }$

Question 16

Write the numeral in base ten.
-$555 _ { \text {six } }$

Accepted Answer

A)  1000 
B)  82 
C)  215 
D)  110 
A)  1000 
B)  82 
C)  215 
D)  110

Question 17

Find the missing numbers.
-

Accepted Answer

A)  $( a ) = 0 , ( b ) = 1$ 
B)  $( a ) = 1 , ( b ) = 1$ 
C)  $( a ) = 1 , ( b ) = 2$ 
D)  $( a ) = 2 , ( b ) = 1$ 
A)  $( a ) = 0 , ( b ) = 1$ 
B)  $( a ) = 1 , ( b ) = 1$ 
C)  $( a ) = 1 , ( b ) = 2$ 
D)  $( a ) = 2 , ( b ) = 1$

Question 18

Provide an appropriate response.
-$$\text { Is it true that } 43 _ { \text {ten } } - 43 _ { \text {five } } = 0 \text { ? If not, then explain. }$$

Accepted Answer

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

Question 19

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

Accepted Answer

A)  363 
B)  3630 
C)  3603 
D)  3063 
A)  363 
B)  3630 
C)  3603 
D)  3063

Question 20

Write the numeral in base ten.
-

Accepted Answer

A)  414 
B)  131 
C)  313 
D)  141 
A)  414 
B)  131 
C)  313 
D)  141

Use the method suggested to compute mentally. -Use trading off.

Solve the problem. -Jamie is planning to start her own business. She has saved $1100 for this purpose. She estimates a cost of $880 for materials and $480 for advertising. By how much money is she falling short?

Estimate the following mentally. - $90 + 53 - 253 + 410$

Convert the following. -105 hours to days and hours

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

Find, if possible, the whole number that makes the equation true. -35=21+2. $\square$

Solve the problem. -The sum of the digits of a 3-digit number is 18. The units digit is one less than the tens digit and the tens digit is one less than the hundreds. What is the number?

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

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

Use the distributive property to factor the following. - $( y + 1 ) x - ( y + 1 )$

Write the numeral in base ten. - $25_{ eight}$

Provide an appropriate response. -Determine what is wrong with the following: 139 +24 153

Convert the base-ten number to a number in the indicated base. -396 to base twelve

Remove or add parentheses as indicated. -Place parentheses to make the equation $a + b \cdot a + b = a ^ { 2 } + 2 a b + b ^ { 2 }$ true.

Write the numeral in base ten. - $555 _ { \text {six } }$

Find the missing numbers. -

Provide an appropriate response. - $\text { Is it true that } 43 _ { \text {ten } } - 43 _ { \text {five } } = 0 \text { ? If not, then explain. }$

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

Write the numeral in base ten. -

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

Use the method suggested to compute mentally. -Use trading off.

Solve the problem. -Jamie is planning to start her own business. She has saved $1100 for this purpose. She estimates a cost of $880 for materials and $480 for advertising. By how much money is she falling short?

Estimate the following mentally. - 90+53−253+41090 + 53 - 253 + 41090+53−253+410

Convert the following. -105 hours to days and hours

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

Find, if possible, the whole number that makes the equation true. -35=21+2. □\square□

Solve the problem. -The sum of the digits of a 3-digit number is 18. The units digit is one less than the tens digit and the tens digit is one less than the hundreds. What is the number?

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

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

Use the distributive property to factor the following. - (y+1)x−(y+1)( y + 1 ) x - ( y + 1 )(y+1)x−(y+1)

Write the numeral in base ten. - 25eight25_{ eight}25eight​

Provide an appropriate response. -Determine what is wrong with the following: 139 +24 153

Convert the base-ten number to a number in the indicated base. -396 to base twelve

Remove or add parentheses as indicated. -Place parentheses to make the equation a+b⋅a+b=a2+2ab+b2a + b \cdot a + b = a ^ { 2 } + 2 a b + b ^ { 2 }a+b⋅a+b=a2+2ab+b2 true.

Write the numeral in base ten. - 555six 555 _ { \text {six } }555six ​

Find the missing numbers. -

Provide an appropriate response. - Is it true that 43ten −43five =0 ? If not, then explain. \text { Is it true that } 43 _ { \text {ten } } - 43 _ { \text {five } } = 0 \text { ? If not, then explain. } Is it true that 43ten ​−43five ​=0 ? If not, then explain.

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

Write the numeral in base ten. -

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

Estimate the following mentally. - $90 + 53 - 253 + 410$

Find, if possible, the whole number that makes the equation true. -35=21+2. $\square$

Use the distributive property to factor the following. - $( y + 1 ) x - ( y + 1 )$

Write the numeral in base ten. - $25_{ eight}$

Remove or add parentheses as indicated. -Place parentheses to make the equation $a + b \cdot a + b = a ^ { 2 } + 2 a b + b ^ { 2 }$ true.

Write the numeral in base ten. - $555 _ { \text {six } }$

Provide an appropriate response. - $\text { Is it true that } 43 _ { \text {ten } } - 43 _ { \text {five } } = 0 \text { ? If not, then explain. }$