Question 1

During a nuclear explosion, a fireball will be produced having a maximum volume V 0 . For temperatures below 2,000 K and a given explosive force, the volume V of the fireball t seconds after the explosion can be estimated using the given formula. (Note that the kelvin is abbreviated as K, not  o K.) Approximate t when V is 88% of V 0 . Round the answer to the nearest thousandth of a second.

Accepted Answer

A)  3.681 sec
B)  29.445 sec
C)  33.656 sec
D)  6.625 sec
E)  7.361 sec E

Question 2

Solve the equation by factoring.

Accepted Answer

A)   
B)   
C)   
D)   
E)    B

Question 3

Find the values of x and y, where x and y are real numbers.

Accepted Answer

A)   
B)   
C)   
D)   
E)    A

Question 4

Write the expression  in the form  , where a and b are real numbers.

Accepted Answer

A)  1 + i
B)  1
C)  - i
D)  - 1
E)  i

Question 5

Find the values of x and y, where x and y are real numbers.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 6

A square vegetable garden is to be tilled and then enclosed with a fence. If the fence costs $1 per foot and the cost of preparing the soil is $0.20 per ft  2 , determine the width of the garden that can be enclosed for $403.20.

Accepted Answer

A)  14 ft
B)  41 ft
C)  79 ft
D)  36 ft
E)  40 ft

Question 7

Find the solutions of the equation

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 8

During a nuclear explosion, a fireball will be produced having a maximum volume V 0 . For temperatures below 2,000 K and a given explosive force, the volume V of the fireball t seconds after the explosion can be estimated using the given formula. (Note that the kelvin is abbreviated as K, not  o K.) Approximate t when V is 92% of V 0 . Round the answer to the nearest thousandth of a second.

Accepted Answer

A)  29.462 sec
B)  11.238 sec
C)  49.947 sec
D)  6.243 sec
E)  12.487 sec

Question 9

A stained-glass window is being designed in the shape of a rectangle surmounted by a semicircle, as shown in the figure. The width of the window is to be 4 feet, but the height h is yet to be determined. If 25 ft  2  of glass is to be used, find the height h.

Accepted Answer

A)    2  of glass is to be used, find the height h.   
A)     feet 
B)     feet 
C)     feet 
D)     feet 
E)     feet" class="answers-bank-image d-inline" rel="preload" > feet
B)    2  of glass is to be used, find the height h.   
A)     feet 
B)     feet 
C)     feet 
D)     feet 
E)     feet" class="answers-bank-image d-inline" rel="preload" > feet
C)    2  of glass is to be used, find the height h.   
A)     feet 
B)     feet 
C)     feet 
D)     feet 
E)     feet" class="answers-bank-image d-inline" rel="preload" > feet
D)    2  of glass is to be used, find the height h.   
A)     feet 
B)     feet 
C)     feet 
D)     feet 
E)     feet" class="answers-bank-image d-inline" rel="preload" > feet
E)    2  of glass is to be used, find the height h.   
A)     feet 
B)     feet 
C)     feet 
D)     feet 
E)     feet" class="answers-bank-image d-inline" rel="preload" > feet

Question 10

Solve the inequality.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 11

Express the inequality  as an interval.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 12

Solve the equation.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 13

Solve the equation by using the special quadratic equation.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 14

The speed of the current in a stream is 2.2 mi/hr. It takes a canoeist 40 minutes longer to paddle 1.9 miles upstream than to paddle the same distance downstream. What is the canoeist's rate in still water? Round the answer to the nearest tenth of a mile per hour.

Accepted Answer

A)  3.3 mi/hr
B)  6.3 mi/hr
C)  7.1 mi/hr
D)  2.2 mi/hr
E)  4.2 mi/hr

Question 15

Solve the equation by factoring.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 16

Find the values of x and y, where x and y are real numbers.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 17

Write the expression  in the form  , where a and b are real numbers.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 18

Solve the formula for L.

Accepted Answer

A)   
B)   
C)   
D)   
E)  none of these

Question 19

Solve the equation

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 20

Solve the equation.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Exam 2: Equations and Inequalities

Solve the equation by factoring.

Find the values of x and y, where x and y are real numbers.

Write the expression in the form , where a and b are real numbers.

Find the values of x and y, where x and y are real numbers.

A square vegetable garden is to be tilled and then enclosed with a fence. If the fence costs $1 per foot and the cost of preparing the soil is $0.20 per ft ², determine the width of the garden that can be enclosed for $403.20.

Find the solutions of the equation

A stained-glass window is being designed in the shape of a rectangle surmounted by a semicircle, as shown in the figure. The width of the window is to be 4 feet, but the height h is yet to be determined. If 25 ft ² of glass is to be used, find the height h.

Solve the inequality.

Express the inequality as an interval.

Solve the equation.

Solve the equation by using the special quadratic equation.

The speed of the current in a stream is 2.2 mi/hr. It takes a canoeist 40 minutes longer to paddle 1.9 miles upstream than to paddle the same distance downstream. What is the canoeist's rate in still water? Round the answer to the nearest tenth of a mile per hour.

Solve the equation by factoring.

Find the values of x and y, where x and y are real numbers.

Write the expression in the form , where a and b are real numbers.

Solve the formula for L.

Solve the equation

Solve the equation.