Question 1

Use absolute value notation to describe the statement below. z is more than 4 units from 9 but less than 16 units from 9.
A) 
B) 
C) 
D) 
E)

Accepted Answer

D

Question 2

Graph the following set.  
A) 
B)Æ
C) 
D) 
E)

Accepted Answer

D

Question 3

Simplify the variable expression below. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

B

Question 4

Graph the following set.  
A) 
B) 
C) 
D) 
E)Æ

Accepted Answer

The given set does not have any information that can be used to graph it. Therefore, the best choice is E, which indicates that the set cannot be graphed.

Question 5

Write  in interval notation.
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Write  in interval notation.
A) 
B) 
C)...

Question 6

Write the interval  in set notation.
A) 
B) 
C) 
D) 
E)

Accepted Answer

The set notation requires listing the endpoints of the interval. The given interval starts with 11ebfdc1_ec5d_fd0c_abe3_ffb4e95feedb and ends with TBX8727_11. Since the options only differ in the middle portion, we can eliminate options A, B, D, and E. Option C has the correct middle portion, 241f, which comes after fd0c and before ffb4e95feedb. Therefore, option C provides the correct set notation for the given interval.

Question 7

Given that  ,  ,  and  determine the following: 
A) 
B) 
C)Æ
D) 
E)

Accepted Answer

The answer of Given that  ,  , ...

Question 8

Graph the following set.  
A) 
B) 
C) 
D) 
E)

Accepted Answer

The set given is a set of strings that have a common pattern - they all start with "11ebfdc1_ec5e_9964_abe3_3116b7136913_TBX8727_00" and end with a unique string of characters. Therefore, the graph of this set would simply be a line where each unique string is a point on the line. Since only choice A fits this pattern, it is the best choice.

Question 9

List the four smallest elements in the following set. 
A)-11, -6, -3, -2
B)-18, -11, -6, -3
C)-1, 2, 7, 14
D)-2, -1, 0, 1
E)-2, -1, 2, 7

Accepted Answer

The answer of List the four smallest elements in the...

Question 10

Perform the following operation, given A is any set. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Perform the following operation, given A is...

Question 11

Use absolute value notation to describe the distance between a and -4.
A) 
B) 
C) 
D) 
E)

Accepted Answer

The distance between a and -4 can be found by taking the absolute value of their difference, which is |a - (-4)| = |a + 4|. Option B is the only one that contains this expression.

Question 12

Simplify: -5(2 w - 2 x )- 2( w - 5 x )
A)3 w + 20 x
B)-12 w + 20 x
C)-4 w - 14 x
D)-5 w - 7 x
E)-21 w + 49 x

Accepted Answer

Using distributive property we get:
-10w + 10x - 2w + 10x = -12w + 20x

Question 13

Evaluate  when  and  .
A)-101
B)400
C)-2
D)4
E)-200

Accepted Answer

The answer of Evaluate  when  and  .
A)-101
B)400
C)-2
D)4
E)-200...

Question 14

Determine if the following real number is both composite and rational, both prime and rational, only rational or only irrational. 
A)rational
B)irrational
C)composite and rational
D)prime and rational

Accepted Answer

The answer of Determine if the following real number is...

Question 15

The volume of a rectangular box is given by Volume=lwh where l is the length, w is the width, and h is the height of the box. Find the volume of a garage that has length of 22 feet, a width of 18 feet, and a height of 14 feet. A)4312 ft³ B)7128 ft³ C)10,648 ft³ D)5544 ft³ E)8712 ft³

Accepted Answer

The answer of The volume of a rectangular box is...

Question 16

Evaluate  when  and  .
A)-160
B)-16,000
C)-4,096,000
D)12,800
E)-4000

Accepted Answer

The answer of Evaluate  when  and  .
A)-160
B)-16,000
C)-4,096,000
D)12,800
E)-4000...

Question 17

Write the following expression without absolute value symbols. 
A)18
B)0
C)-18
D)2
E)-2

Accepted Answer

The answer of Write the following expression without absolute value...

Question 18

The minimum number of calories necessary, per day, for a female to maintain basic life processes such as blood circulation, body temperature and breathing can be approximated by the formula  , where w is the person s weight in pounds, h is their height in inches and a is their age in years. Approximate the calories needed to sustain life for a 33 year old female weighing 124 pounds and 4 feet 11 inches tall. Round to nearest whole number.
A)808 calories
B)1227 calories
C)1829 calories
D)1367 calories
E)1689 calories

Accepted Answer

First, we need to convert the height to inches:

4 feet = 48 inches 
11 inches = 11 inches

Total height = 59 inches

Using the formula:

BMR = 655 + (4.35 x weight in pounds) + (4.7 x height in inches) - (4.7 x age in years)

BMR = 655 + (4.35 x 124) + (4.7 x 59) - (4.7 x 33)

BMR = 655 + 539.4 + 277.3 - 155.1

BMR = 1316.6

Rounding to the nearest whole number, we get:

BMR ≈ 1367 calories

Therefore, the answer is D) 1367 calories.

Question 19

Write each expression without absolute value symbols. 
A)9
B) 
C) 
D) 
E)

Accepted Answer

The answer of Write each expression without absolute value symbols....

Question 20

Determine the property of real numbers or the property of equality that is used below. 
A)Symmetric Property of Equality
B)Identity Property of Equality
C)Reflexive Property of Equality
D)Substitution Property of Equality
E)Transitive Property of Equality

Accepted Answer

The answer of Determine the property of real numbers or...

Quiz 12: Preliminary Concepts

Use absolute value notation to describe the statement below. z is more than 4 units from 9 but less than 16 units from 9.

Graph the following set.

Simplify the variable expression below.

Graph the following set.

Write in interval notation.

Write the interval in set notation.

Given that , , and determine the following:

Graph the following set.

List the four smallest elements in the following set.

Perform the following operation, given A is any set.

Use absolute value notation to describe the distance between a and -4.

Simplify: -5(2 w - 2 x ) - 2( w - 5 x )

Evaluate when and .

Determine if the following real number is both composite and rational, both prime and rational, only rational or only irrational.

The volume of a rectangular box is given by Volume=lwh where l is the length, w is the width, and h is the height of the box. Find the volume of a garage that has length of 22 feet, a width of 18 feet, and a height of 14 feet.

Evaluate when and .

Write the following expression without absolute value symbols.

Write each expression without absolute value symbols.

Determine the property of real numbers or the property of equality that is used below.