Question 1

Solve  using the quadratic formula.Round answers to nearest thousandth.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 2

Find the real solutions of the polynomial equation.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 3

Match the inequality  with its graph.

Accepted Answer

A)    
B)    
C)    
D)    
E)

Question 4

A windlass is used to tow a boat to a dock.The figure shows a situation in which there are  feet of rope extended to the boat  feet away from the dock.How far is the boat from the dock if  feet and  feet? Round to the nearest tenth of a foot.

Accepted Answer

A)  26.0 feet 
B)  7.6 feet 
C)  62.8 feet 
D)  16.8 feet 
E)  44.4 feet

Question 5

Use the critical value method to solve each rational inequality.Write each solution set in interval notation.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 6

Find the real solutions of the polynomial equation below.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 7

The SMOG (Simplified Measure of Gobbledygook) readability formula estimates the reading grade level required by a person if he or she is to fully understand the written material assessed.The SMOG formula is defined as SMOG reading grade level  where w is the number of words that have three or more syllables that should appear in a sample of 30 sentences.A writer of children's books has decided to write a book that can be fully understood by children at the 7th-grade level.What is the maximum number of words with three or more syllables that should appear in any sample of 30 sentences of the book?

Accepted Answer

A)  18 
B)  20 
C)  16 
D)  17 
E)  19

Question 8

Use absolute value notation to define the interval shown below.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 9

Match the inequality  with its graph.

Accepted Answer

A)    
B)    
C)    
D)    
E)

Question 10

Solve the following equation.

Accepted Answer

A)   
B)   
C)   
D)   
E)  2

Question 11

Solve:

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 12

Use the Quadratic Formula to solve the quadratic equation below.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 13

Solve the inequality below.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 14

Find all solutions of

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 15

Assume that air resistance is negligible, which implies that the position equation  is a reasonable model.A rock is dropped from the top of a 140-foot cliff that overlooks the ocean.How long will it take for the rock to hit the water? Round to the nearest hundredth of a second.

Accepted Answer

A)  3.92 seconds 
B)  2.96 seconds 
C)  7.78 seconds 
D)  8.75 seconds 
E)  6.82 seconds

Question 16

Write  in general form.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 17

The average yearly cost  of higher education at public institutions in the U.S.for the academic years 1995/1996 to 2004/2005 can be modeled by   where  represents the year, with  corresponding to the 1995/1996 school year.Use the model to predict the academic year when the average yearly cost of higher education at public institutions exceeds $9800.

Accepted Answer

A)  1998/1999 
B)  2002/2003 
C)  1997/1998 
D)  2004/2005 
E)  2003/2004

Question 18

The length of a rectangle is 10 feet less than 4 times the width of a rectangle. If the perimeter of the rectangle is  feet, find the width and the length.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 19

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 $45,000?

Accepted Answer

A)  6000 units 
B)  3000 units 
C)  9000 units 
D)  12,000 units 
E)  15,000 units

Question 20

A rectangular pool is 40 feet wide and 45 feet long.It is surrounded on all four sides by a wooden deck of fixed width.The total area enclosed within the perimeter of the deck is 2354 square feet.What is the width of the deck?

Accepted Answer

A)  9 feet 
B)  8 feet 
C)  4 feet 
D)  11 feet 
E)  12 feet

Exam 1: Equations and Inequalities

Solve using the quadratic formula.Round answers to nearest thousandth.

Find the real solutions of the polynomial equation.

Match the inequality with its graph.

A windlass is used to tow a boat to a dock.The figure shows a situation in which there are feet of rope extended to the boat feet away from the dock.How far is the boat from the dock if feet and feet? Round to the nearest tenth of a foot.

Use the critical value method to solve each rational inequality.Write each solution set in interval notation.

Find the real solutions of the polynomial equation below.

Use absolute value notation to define the interval shown below.

Match the inequality with its graph.

Solve the following equation.

Solve:

Use the Quadratic Formula to solve the quadratic equation below.

Solve the inequality below.

Find all solutions of

Assume that air resistance is negligible, which implies that the position equation is a reasonable model.A rock is dropped from the top of a 140-foot cliff that overlooks the ocean.How long will it take for the rock to hit the water? Round to the nearest hundredth of a second.

Write in general form.

The length of a rectangle is 10 feet less than 4 times the width of a rectangle. If the perimeter of the rectangle is feet, find the width and the length.

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 $45,000?

A rectangular pool is 40 feet wide and 45 feet long.It is surrounded on all four sides by a wooden deck of fixed width.The total area enclosed within the perimeter of the deck is 2354 square feet.What is the width of the deck?