Question 1

A veterinarian wishes to use 84 feet of chain-link fencing to enclose a rectangular region and subdivide the region into two smaller rectangular regions, as shown below.If the total enclosed area is 270 square feet, find the dimensions of the enclosed area.

Accepted Answer

A)    or 
B)    or 
C)    or 
D)    or 
E)    or  E

Question 2

Solve the quadratic equation by any convenient method.

Accepted Answer

A)    and 
B)    and 
C)    and 
D)    and 
E)    and  E

Question 3

Two friends fly from from one city to another (a distance apart of 2417 miles).It takes 2 hours and 25 minutes to fly the first 860 miles.At this rate, how long is the entire flight? Round to the nearest hundredth of an hour.

Accepted Answer

A)   8.15 hours
B)   6.79 hours
C)   6.34 hours
D)   5.89 hours
E)   7.24 hours B

Question 4

Determine which of the following values of x is a solution to the equation

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 5

A rectangular field has a perimeter of 374 feet and is to have an area at least 8280 square feet.Within what bounds must the length, x, of the rectangular field lie?

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 6

Which of the following equations is not a conditional equation?

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 7

Determine which of the following values of x is a solution to the equation

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 8

Use the cost equation  to find the number of units x that a manufacturer can produce when  Round answer to the nearest whole unit.

Accepted Answer

A)   365 units
B)   357 units
C)   344 units
D)   336 units
E)   330 units

Question 9

Find the domain of x in the expression

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 10

Solve:

Accepted Answer

A)   
B)   
C)   
D)   
E)   no solution

Question 11

Solve the following polynomial equation by factoring and using the zero factor property.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 12

Find all solutions of

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 13

The demand equation for a product is  where  is the price per unit and  is the number of units sold.The total revenue  for selling  units is given by  How many units must be sold to produce a revenue of $220,000?

Accepted Answer

A)   96,188 units or 155,825 units
B)   3541 units or 103,541 units
C)   3541 units or 155,825 units
D)   3812 units or 96,188 units
E)   3541 units or 3812 units

Question 14

A projectile is fired straight upward from ground level with an initial velocity of 120 feet per second.During what time period will its height exceed 220 feet? Round your answer to the nearest tenth of a second.

Accepted Answer

A)   between 4.3 and 6.8 seconds
B)   between 3.2 and 6.8 seconds
C)   between 1.6 and 4.3 seconds
D)   between 3.9 and 6.8 seconds
E)   between 3.2 and 4.3 seconds

Question 15

A college charters a bus for $1848 to take a group of students to the Fiesta Bowl.When two more students join the trip, the cost per student decreases by $2.00.How many students were in the original group?

Accepted Answer

A)   42
B)   28
C)   34
D)   41
E)   49

Question 16

Find the real solutions of the radical equation.

Accepted Answer

A)   -100
B)   -10
C)   120
D)   -20
E)   50

Question 17

Use the quadratic formula to solve the equation.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 18

Solve:

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 19

Use interval notation to express the solution set for the inequality below.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 20

Solve  by factoring.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Exam 1: Equations and Inequalities

A veterinarian wishes to use 84 feet of chain-link fencing to enclose a rectangular region and subdivide the region into two smaller rectangular regions, as shown below.If the total enclosed area is 270 square feet, find the dimensions of the enclosed area.

Solve the quadratic equation by any convenient method.

Two friends fly from from one city to another (a distance apart of 2417 miles) .It takes 2 hours and 25 minutes to fly the first 860 miles.At this rate, how long is the entire flight? Round to the nearest hundredth of an hour.

Determine which of the following values of x is a solution to the equation

A rectangular field has a perimeter of 374 feet and is to have an area at least 8280 square feet.Within what bounds must the length, x, of the rectangular field lie?

Which of the following equations is not a conditional equation?

Determine which of the following values of x is a solution to the equation

Use the cost equation to find the number of units x that a manufacturer can produce when Round answer to the nearest whole unit.

Find the domain of x in the expression

Solve:

Solve the following polynomial equation by factoring and using the zero factor property.

Find all solutions of

The demand equation for a product is where is the price per unit and is the number of units sold.The total revenue for selling units is given by How many units must be sold to produce a revenue of $220,000?

A projectile is fired straight upward from ground level with an initial velocity of 120 feet per second.During what time period will its height exceed 220 feet? Round your answer to the nearest tenth of a second.

A college charters a bus for $1848 to take a group of students to the Fiesta Bowl.When two more students join the trip, the cost per student decreases by $2.00.How many students were in the original group?

Find the real solutions of the radical equation.

Use the quadratic formula to solve the equation.

Solve:

Use interval notation to express the solution set for the inequality below.

Solve by factoring.