Question 1

Write the number in the statement in scientific notation. The distance to the edge of the observable universe is about $100,000,000,000,000,000,000,000,000$ m.

Accepted Answer

The answer of Write the number in the statement in...

Question 2

Perform the indicated operations. $\frac { \frac { 1 } { 12 } } { \frac { 1 } { 8 } - \frac { 1 } { 12 } }$

Accepted Answer

The answer of Perform the indicated operations. \(\frac { \frac...

Question 3

Find a perpendicular line that passes through the midpoint of  (8,−12) ( 8 , - 12 ) (8,−12)   and  (7,10) ( 7,10 ) (7,10)   .

Accepted Answer

A)    4y−22x+59=04 y - 22 x + 59 = 04y−22x+59=0  
B)    2y−4x=592 y - 4 x = 592y−4x=59  
C)    44y−2x+59=044 y - 2 x + 59 = 044y−2x+59=0  
D)    x−22y=164x - 22 y = 164x−22y=164  
E)    22x−y−164=022 x - y - 164 = 022x−y−164=0  F) None of the above
G) B) and C)

Question 4

Evaluate the expression.  4−34 ^ { - 3 }4−3

Accepted Answer

A)    −1256- \frac { 1 } { 256 }−2561​ 
B)    −164- \frac { 1 } { 64 }−641​ 
C)    164\frac { 1 } { 64 }641​ 
D)    1256\frac { 1 } { 256 }2561​ 
E)    1512\frac { 1 } { 512 }5121​  F) C) and D)
G) A) and B)

Question 5

Evaluate  (14) −2(12) −4\left( \frac { 1 } { 4 } \right)  ^ { - 2 } \left( \frac { 1 } { 2 } \right)  ^ { - 4 }(41​) −2(21​) −4

Accepted Answer

A)    164\frac { 1 } { 64 }641​ 
B)    1256\frac { 1 } { 256 }2561​ 
C)    646464 
D)    −14\frac { - 1 } { 4 }4−1​ 
E)    256256256  F) A) and E)
G) A) and C)

Question 6

Use properties of real numbers to write  −r(s−2) - r ( s - 2 ) −r(s−2)   without parentheses.

Accepted Answer

A)    −2r+2s- 2 r + 2 s−2r+2s 
B)    −rS+2- r S + 2−rS+2 
C)    rs+2rrs + 2 rrs+2r 
D)    −rs+2r- r s + 2 r−rs+2r 
E)    −rs−2r- rs- 2 r−rs−2r  F) None of the above
G) A) and E)

Question 7

Find A∪BA \cup BA∪B if \pi \}">A={x∣x>π}A = \{ x \mid x > \pi \}A={x∣x>π} and B={x∣−1

Accepted Answer

A) ∅\varnothing∅ B) - 1 ext { and } x eq \pi \}">{x∣x>−1 and x≠π}\{ x \mid x > - 1 ext { and } x eq \pi \}{x∣x>−1 and x=π} C) {x∣−1{x∣x>−π}\{ x \mid x > - \pi \}{x∣x>−π} F) A) and B) G) B) and E)

Question 8

A running track has straight sides and semicircular ends. If the length of the track is $440$ yd and the two straight parts are each $110$ yd long, what is the radius of the semicircular part, to the nearest yard?

Accepted Answer

Let the radius of the semicirc...

Question 9

Express the repeating decimal as a fraction. $0 . \overline { 8 }$

Accepted Answer

The answer of Express the repeating decimal as a fraction....

Question 10

Write an equation that expresses the statement that $T$ varies jointly as $s$ and the square of $r$ and inversely as the cube root of $c$ .

Accepted Answer

<img  loading="lazy" src="/assets/images/blured-textbook.svg" class="d-inline m-1" alt="blured image" width="139" height="30"> , where <img  loading="lazy" src="/assets/images/blured-textbook.svg" class="d-inline m-1" alt="blured image" width="139" height="30"> ...

Question 11

Factor the expression. $25 s ^ { 2 } - 4 r ^ { 2 }$

Accepted Answer

The answer of Factor the expression. \(25 s ^ {...

Question 12

Peter drove to the beach at $40$ mi $/$ h. Rock left the house at the same time but drove at $69$ mi $/$ h. When Rock arrived at the beach, Peter had another $30$ mi to drive. Approximately how far is it from their house to the beach?

Accepted Answer

Let <img  loading="lazy" src="/assets/images/blured-textbook.svg" class="d-inline m-1" alt="blured image" width="139" height="30"> be the distance...

Question 13

Rationalize the denominator. $\sqrt { \frac { x } { 6 } }$

Accepted Answer

The answer of Rationalize the denominator. \(\sqrt { \frac {...

Question 14

Factor the expression.  (n2+1) 2−15(n2+1) +50\left( n ^ { 2 } + 1 \right)  ^ { 2 } - 15 \left( n ^ { 2 } + 1 \right)  + 50(n2+1) 2−15(n2+1) +50

Accepted Answer

A)    (n−2) (n−3) (n+3) (n+2) ( n - 2 )  ( n - 3 )  ( n + 3 )  ( n + 2 ) (n−2) (n−3) (n+3) (n+2)  
B)    (n−2) 2(n+3) (n−3) ( n - 2 )  ^ { 2 } ( n + 3 )  ( n - 3 ) (n−2) 2(n+3) (n−3)  
C)    (n+1) 2(n−3) (n+3) ( n + 1 )  ^ { 2 } ( n - 3 )  ( n + 3 ) (n+1) 2(n−3) (n+3)  
D)    (n+1) (n−1) (n+2) ( n + 1 )  ( n - 1 )  ( n + 2 ) (n+1) (n−1) (n+2)  
E)    (n+2) 4( n + 2 )  ^ { 4 }(n+2) 4  F) B) and C)
G) B) and E)

Question 15

Solve the equation.  x−14x+7=15\frac { x - 1 } { 4 x + 7 } = \frac { 1 } { 5 }4x+7x−1​=51​

Accepted Answer

A)    x=−7x = - 7x=−7 
B)    x=10x = 10x=10 
C)    x=193x = \frac { 19 } { 3 }x=319​ 
D)    x=12x = 12x=12 
E)    x=−21x = - 21x=−21  F) A) and E)
G) A) and D)

Question 16

Solve the equation.  4x−7+1x+7+32(x2−49) =0\frac { 4 } { x - 7 } + \frac { 1 } { x + 7 } + \frac { 3 } { 2 \left( x ^ { 2 } - 49 \right)  } = 0x−74​+x+71​+2(x2−49) 3​=0

Accepted Answer

A)    92\frac { 9 } { 2 }29​ 
B)    −29- \frac { 2 } { 9 }−92​ 
C)    −4- 4−4 
D)    −5- 5−5 
E)    −92- \frac { 9 } { 2 }−29​  F) A) and B)
G) B) and D)

Question 17

A sealed warehouse measuring $12$ m wide, $18$ m long and 6 m high, is filled with pure oxygen. One cubic meter contains 1000 L, and 22.4 L of any gas contains $6.02 \times 10 ^ { 23 }$ molecules. How many molecules of oxygen are there in the room?

Accepted Answer

Volume <img  loading="lazy" src="/assets/images/blured-textbook.svg" class="d-inline m-1" alt="blured image" width="139" height="30"> , ...

Question 18

Alyson drove from Bluesville to Greensburg at a speed of 60 mi/h. On the way back, she drove at 45 mi/h. The total trip took $5 \frac { 3 } { 5 }$ h of driving time. Find the distance between these two cities.

Accepted Answer

The answer of Alyson drove from Bluesville to Greensburg at...

Question 19

A certain board game requires a two-toned wood playing surface. The central portion is made of a rectangular piece of pine, measuring $4$ in by $12$ in. The outer border is made of redwood, and has equal width on all sides. The area of the redwood border must be one third the area of the central pine portion. What must the width of the redwood border be?

Accepted Answer

Let the width of the border be...

Question 20

Solve the equation by completing the square. $x ^ { 2 } - 16 x = 17$

Accepted Answer

The answer of Solve the equation by completing the square....

Exam 1: Fundamentals

Peter drove to the beach at $40$ mi $/$ h. Rock left the house at the same time but drove at $69$ mi $/$ h. When Rock arrived at the beach, Peter had another $30$ mi to drive. Approximately how far is it from their house to the beach?

Correct Answer
verified
Let be the distance...
View Answer

Rationalize the denominator. $\sqrt { \frac { x } { 6 } }$

Correct Answer
verified

Solve the equation. $\frac { x - 1 } { 4 x + 7 } = \frac { 1 } { 5 }$

Correct Answer
verified

Express the repeating decimal as a fraction. $0 . \overline { 8 }$

Correct Answer
verified

A sealed warehouse measuring $12$ m wide, $18$ m long and 6 m high, is filled with pure oxygen. One cubic meter contains 1000 L, and 22.4 L of any gas contains $6.02 \times 10 ^ { 23 }$ molecules. How many molecules of oxygen are there in the room?

Correct Answer
verified
Volume , ...
View Answer

Alyson drove from Bluesville to Greensburg at a speed of 60 mi/h. On the way back, she drove at 45 mi/h. The total trip took $5 \frac { 3 } { 5 }$ h of driving time. Find the distance between these two cities.

Correct Answer
verified

Factor the expression. $25 s ^ { 2 } - 4 r ^ { 2 }$

Correct Answer
verified

Write an equation that expresses the statement that $T$ varies jointly as $s$ and the square of $r$ and inversely as the cube root of $c$ .

Correct Answer
verified
, where ...
View Answer

Correct Answer
verified
Let the width of the border be...
View Answer

Evaluate the expression. $4 ^ { - 3 }$

Correct Answer
verified

Factor the expression. $\left( n ^ { 2 } + 1 \right) ^ { 2 } - 15 \left( n ^ { 2 } + 1 \right) + 50$

Correct Answer
verified

A running track has straight sides and semicircular ends. If the length of the track is $440$ yd and the two straight parts are each $110$ yd long, what is the radius of the semicircular part, to the nearest yard?

Correct Answer
verified
Let the radius of the semicirc...
View Answer

Solve the equation. $\frac { 4 } { x - 7 } + \frac { 1 } { x + 7 } + \frac { 3 } { 2 \left( x ^ { 2 } - 49 \right) } = 0$

Correct Answer
verified

Find a perpendicular line that passes through the midpoint of $( 8 , - 12 )$ and $( 7,10 )$ .

Correct Answer
verified

Evaluate $\left( \frac { 1 } { 4 } \right) ^ { - 2 } \left( \frac { 1 } { 2 } \right) ^ { - 4 }$

Correct Answer
verified

Perform the indicated operations. $\frac { \frac { 1 } { 12 } } { \frac { 1 } { 8 } - \frac { 1 } { 12 } }$

Correct Answer
verified

Use properties of real numbers to write $- r ( s - 2 )$ without parentheses.

Correct Answer
verified

Find $A \cup B$ if $A = \{ x \mid x > \pi \}$ and $B = \{ x \mid - 1 < x < \pi \}$ .

Correct Answer
verified

Solve the equation by completing the square. $x ^ { 2 } - 16 x = 17$

Correct Answer
verified

Write the number in the statement in scientific notation. The distance to the edge of the observable universe is about $100,000,000,000,000,000,000,000,000$ m.

Correct Answer
verified

Exam 1: Fundamentals

Peter drove to the beach at 404040 mi /// h. Rock left the house at the same time but drove at 696969 mi /// h. When Rock arrived at the beach, Peter had another 303030 mi to drive. Approximately how far is it from their house to the beach?

Correct AnswerverifiedLet be the distance...View AnswerShow Answer

Rationalize the denominator. x6\sqrt { \frac { x } { 6 } }6x​​

Correct AnswerverifiedShow Answer

Solve the equation. x−14x+7=15\frac { x - 1 } { 4 x + 7 } = \frac { 1 } { 5 }4x+7x−1​=51​

Correct AnswerverifiedShow Answer

Express the repeating decimal as a fraction. 0.8‾0 . \overline { 8 }0.8

Correct AnswerverifiedShow Answer

A sealed warehouse measuring 121212 m wide, 181818 m long and 6 m high, is filled with pure oxygen. One cubic meter contains 1000 L, and 22.4 L of any gas contains 6.02×10236.02 \times 10 ^ { 23 }6.02×1023 molecules. How many molecules of oxygen are there in the room?

Correct AnswerverifiedVolume , ...View AnswerShow Answer

Alyson drove from Bluesville to Greensburg at a speed of 60 mi/h. On the way back, she drove at 45 mi/h. The total trip took 5355 \frac { 3 } { 5 }553​ h of driving time. Find the distance between these two cities.

Correct AnswerverifiedShow Answer

Factor the expression. 25s2−4r225 s ^ { 2 } - 4 r ^ { 2 }25s2−4r2

Correct AnswerverifiedShow Answer

Write an equation that expresses the statement that TTT varies jointly as sss and the square of rrr and inversely as the cube root of ccc .

Correct Answerverified , where ...View AnswerShow Answer

Correct AnswerverifiedLet the width of the border be...View AnswerShow Answer

Evaluate the expression. 4−34 ^ { - 3 }4−3

Correct AnswerverifiedShow Answer

Factor the expression. (n2+1) 2−15(n2+1) +50\left( n ^ { 2 } + 1 \right) ^ { 2 } - 15 \left( n ^ { 2 } + 1 \right) + 50(n2+1) 2−15(n2+1) +50

Correct AnswerverifiedShow Answer

A running track has straight sides and semicircular ends. If the length of the track is 440440440 yd and the two straight parts are each 110110110 yd long, what is the radius of the semicircular part, to the nearest yard?

Correct AnswerverifiedLet the radius of the semicirc...View AnswerShow Answer

Solve the equation. 4x−7+1x+7+32(x2−49) =0\frac { 4 } { x - 7 } + \frac { 1 } { x + 7 } + \frac { 3 } { 2 \left( x ^ { 2 } - 49 \right) } = 0x−74​+x+71​+2(x2−49) 3​=0

Correct AnswerverifiedShow Answer

Find a perpendicular line that passes through the midpoint of (8,−12) ( 8 , - 12 ) (8,−12) and (7,10) ( 7,10 ) (7,10) .

Correct AnswerverifiedShow Answer

Evaluate (14) −2(12) −4\left( \frac { 1 } { 4 } \right) ^ { - 2 } \left( \frac { 1 } { 2 } \right) ^ { - 4 }(41​) −2(21​) −4

Correct AnswerverifiedShow Answer

Perform the indicated operations. 11218−112\frac { \frac { 1 } { 12 } } { \frac { 1 } { 8 } - \frac { 1 } { 12 } }81​−121​121​​

Correct AnswerverifiedShow Answer

Use properties of real numbers to write −r(s−2) - r ( s - 2 ) −r(s−2) without parentheses.

Correct AnswerverifiedShow Answer

Find A∪BA \cup BA∪B if A={x∣x>π}A = \{ x \mid x > \pi \}A={x∣x>π} and B={x∣−1<x<π}B = \{ x \mid - 1 < x < \pi \}B={x∣−1<x<π} .

Correct AnswerverifiedShow Answer

Solve the equation by completing the square. x2−16x=17x ^ { 2 } - 16 x = 17x2−16x=17

Correct AnswerverifiedShow Answer

Write the number in the statement in scientific notation. The distance to the edge of the observable universe is about 100,000,000,000,000,000,000,000,000100,000,000,000,000,000,000,000,000100,000,000,000,000,000,000,000,000 m.

Correct AnswerverifiedShow Answer

Peter drove to the beach at $40$ mi $/$ h. Rock left the house at the same time but drove at $69$ mi $/$ h. When Rock arrived at the beach, Peter had another $30$ mi to drive. Approximately how far is it from their house to the beach?

Correct Answer
verified
Let be the distance...
View Answer

Rationalize the denominator. $\sqrt { \frac { x } { 6 } }$

Correct Answer
verified

Solve the equation. $\frac { x - 1 } { 4 x + 7 } = \frac { 1 } { 5 }$

Correct Answer
verified

Express the repeating decimal as a fraction. $0 . \overline { 8 }$

Correct Answer
verified

A sealed warehouse measuring $12$ m wide, $18$ m long and 6 m high, is filled with pure oxygen. One cubic meter contains 1000 L, and 22.4 L of any gas contains $6.02 \times 10 ^ { 23 }$ molecules. How many molecules of oxygen are there in the room?

Correct Answer
verified
Volume , ...
View Answer

Alyson drove from Bluesville to Greensburg at a speed of 60 mi/h. On the way back, she drove at 45 mi/h. The total trip took $5 \frac { 3 } { 5 }$ h of driving time. Find the distance between these two cities.

Correct Answer
verified

Factor the expression. $25 s ^ { 2 } - 4 r ^ { 2 }$

Correct Answer
verified

Write an equation that expresses the statement that $T$ varies jointly as $s$ and the square of $r$ and inversely as the cube root of $c$ .

Correct Answer
verified
, where ...
View Answer

Correct Answer
verified
Let the width of the border be...
View Answer

Evaluate the expression. $4 ^ { - 3 }$

Correct Answer
verified

Factor the expression. $\left( n ^ { 2 } + 1 \right) ^ { 2 } - 15 \left( n ^ { 2 } + 1 \right) + 50$

Correct Answer
verified

A running track has straight sides and semicircular ends. If the length of the track is $440$ yd and the two straight parts are each $110$ yd long, what is the radius of the semicircular part, to the nearest yard?

Correct Answer
verified
Let the radius of the semicirc...
View Answer

Solve the equation. $\frac { 4 } { x - 7 } + \frac { 1 } { x + 7 } + \frac { 3 } { 2 \left( x ^ { 2 } - 49 \right) } = 0$

Correct Answer
verified

Find a perpendicular line that passes through the midpoint of $( 8 , - 12 )$ and $( 7,10 )$ .

Correct Answer
verified

Evaluate $\left( \frac { 1 } { 4 } \right) ^ { - 2 } \left( \frac { 1 } { 2 } \right) ^ { - 4 }$

Correct Answer
verified

Perform the indicated operations. $\frac { \frac { 1 } { 12 } } { \frac { 1 } { 8 } - \frac { 1 } { 12 } }$

Correct Answer
verified

Use properties of real numbers to write $- r ( s - 2 )$ without parentheses.

Correct Answer
verified

Find $A \cup B$ if $A = \{ x \mid x > \pi \}$ and $B = \{ x \mid - 1 < x < \pi \}$ .

Correct Answer
verified

Solve the equation by completing the square. $x ^ { 2 } - 16 x = 17$

Correct Answer
verified

Write the number in the statement in scientific notation. The distance to the edge of the observable universe is about $100,000,000,000,000,000,000,000,000$ m.

Correct Answer
verified