Question 1

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

Accepted Answer

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

Question 2

Variable costs depend on the number of units produced.Fixed costs are the same regardless of how many units are produced.A company has fixed monthly costs of $17,000 and variable monthly costs of $6.00 per unit.The company has $95,000 available each month to cover costs.Find the greatest number of units the company can produce each month.

Accepted Answer

A)  13,000 units per month 
B)  12,991 units per month 
C)  12,987 units per month 
D)  12,998 units per month 
E)  13,014 units per month 
A)  13,000 units per month 
B)  12,991 units per month 
C)  12,987 units per month 
D)  12,998 units per month 
E)  13,014 units per month

Question 3

Solve the equation below.

Accepted Answer

A)  -5 
B)  -2 
C)  -4 
D)  8 
E)  10 
A)  -5 
B)  -2 
C)  -4 
D)  8 
E)  10

Question 4

The height, h, in feet, of a baseball above the ground t seconds after it is hit is given by   Use this equation to determine the number of seconds, to the nearest tenth of a second, from the time the ball is hit until the ball hits the ground.

Accepted Answer

A)  2.7 s 
B)  2.8 s 
C)  2.9 s 
D)  3.0 s 
E)  3.1 s 
A)  2.7 s 
B)  2.8 s 
C)  2.9 s 
D)  3.0 s 
E)  3.1 s

Question 5

Translate the following statement into an algebraic expression.

Accepted Answer

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

Question 6

You can rent a car for the day from Company A for $26 plus $0.12 a mile.Company B charges $24.00 plus $0.19 a mile.Find the number of miles m (to the nearest mile) per day for which it is cheaper to rent from Company A.

Accepted Answer

A)  less than 161 miles 
B)  less than 95 miles 
C)  more than 29 miles 
D)  more than 161 miles 
E)  less than 29 miles 
A)  less than 161 miles 
B)  less than 95 miles 
C)  more than 29 miles 
D)  more than 161 miles 
E)  less than 29 miles

Question 7

An overnight delivery service will not accept any package whose combined length and girth (perimeter of a cross section) exceeds 88 inches.Suppose that you are sending a rectangular package that has square cross sections.If the length of the package is 40 inches, what is the maximum width of the sides of its square cross sections?

Accepted Answer

A)  7.2 inches 
B)  14.4 inches 
C)  12.0 inches 
D)  19.2 inches 
E)  4.8 inches 
A)  7.2 inches 
B)  14.4 inches 
C)  12.0 inches 
D)  19.2 inches 
E)  4.8 inches

Question 8

Solve:   Round answer to the nearest hundredth.

Accepted Answer

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

Question 9

Write an inequality that represents the interval

Accepted Answer

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

Question 10

To determine the height of a tree, you measure its shadow and the shadow of a five-foot lamppost.The shadow of the lamppost is 2 feet and the shadow of the tree is 25 feet.Assuming both the tree and the lamppost are standing next to each other and perpendicular to the ground, how tall is the tree? Round to the nearest tenth of a foot.

Accepted Answer

A)  62.5 feet 
B)  36.3 feet 
C)  80.0 feet 
D)  10.0 feet 
E)  18.8 feet 
A)  62.5 feet 
B)  36.3 feet 
C)  80.0 feet 
D)  10.0 feet 
E)  18.8 feet

Question 11

Which of the following is not a solution to the inequality   ?

Accepted Answer

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

Question 12

Solve:

Accepted Answer

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

Question 13

Solve for x, rounding your answer to the nearest thousandth.

Accepted Answer

A)  -0.548 
B)  1.059 
C)  -0.281 
D)  -0.478 
E)  -0.127 
A)  -0.548 
B)  1.059 
C)  -0.281 
D)  -0.478 
E)  -0.127

Question 14

Find two consecutive integers whose product is 10 more than the square of the smaller number.

Accepted Answer

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

Question 15

The sum of two consecutive numbers is   Which of the following equations describes this situation?

Accepted Answer

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

Question 16

Solve the inequality   and write the solution set in interval notation.

Accepted Answer

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

Question 17

The projected public college enrollment   (in thousands) in the United States from 2005 to 2015 can be modeled by     where   represents the year, with   corresponding to 2005.Use the model to predict the year that public college enrollment will exceed 14,800,000.

Accepted Answer

A)  2006 
B)  2013 
C)  2009 
D)  2008 
E)  2014 
A)  2006 
B)  2013 
C)  2009 
D)  2008 
E)  2014

Question 18

You accept a new job with a starting salary of $56,000.You receive a 4.9% raise at the start of your second year, a 7.4% raise at the start of your third year, and a 8% raise at the start of your fourth year.Find your salary for the fourth year.

Accepted Answer

A)  $68,138.34 
B)  $66,854.44 
C)  $67,881.56 
D)  $68,651.90 
E)  $69,422.24 
A)  $68,138.34 
B)  $66,854.44 
C)  $67,881.56 
D)  $68,651.90 
E)  $69,422.24

Question 19

How much water must be added to 8 liters of a 51% saline solution to dilute it to a 36% saline solution? Round answer to nearest tenth of a liter.

Accepted Answer

A)  3.1 liters 
B)  3.3 liters 
C)  3.5 liters 
D)  3.7 liters 
E)  3.9 liters 
A)  3.1 liters 
B)  3.3 liters 
C)  3.5 liters 
D)  3.7 liters 
E)  3.9 liters

Question 20

Solve   using the quadratic formula.

Accepted Answer

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

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

Solve the equation below.

The height, h, in feet, of a baseball above the ground t seconds after it is hit is given by Use this equation to determine the number of seconds, to the nearest tenth of a second, from the time the ball is hit until the ball hits the ground.

Translate the following statement into an algebraic expression.

You can rent a car for the day from Company A for $26 plus $0.12 a mile.Company B charges $24.00 plus $0.19 a mile.Find the number of miles m (to the nearest mile) per day for which it is cheaper to rent from Company A.

Solve: Round answer to the nearest hundredth.

Write an inequality that represents the interval

Which of the following is not a solution to the inequality ?

Solve:

Solve for x, rounding your answer to the nearest thousandth.

Find two consecutive integers whose product is 10 more than the square of the smaller number.

The sum of two consecutive numbers is Which of the following equations describes this situation?

Solve the inequality and write the solution set in interval notation.

The projected public college enrollment (in thousands) in the United States from 2005 to 2015 can be modeled by where represents the year, with corresponding to 2005.Use the model to predict the year that public college enrollment will exceed 14,800,000.

You accept a new job with a starting salary of $56,000.You receive a 4.9% raise at the start of your second year, a 7.4% raise at the start of your third year, and a 8% raise at the start of your fourth year.Find your salary for the fourth year.

How much water must be added to 8 liters of a 51% saline solution to dilute it to a 36% saline solution? Round answer to nearest tenth of a liter.

Solve using the quadratic formula.

Fundamental Concepts of Algebra

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Systems of Equations and Inequalities

Matrices and Determinants

Sequences, Series, and Probability

Filters

Exam 1: Equations and Inequalities

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

Solve the equation below.

The height, h, in feet, of a baseball above the ground t seconds after it is hit is given by Use this equation to determine the number of seconds, to the nearest tenth of a second, from the time the ball is hit until the ball hits the ground.

Translate the following statement into an algebraic expression.

You can rent a car for the day from Company A for $26 plus $0.12 a mile.Company B charges $24.00 plus $0.19 a mile.Find the number of miles m (to the nearest mile) per day for which it is cheaper to rent from Company A.

Solve: Round answer to the nearest hundredth.

Write an inequality that represents the interval

Which of the following is not a solution to the inequality ?

Solve:

Solve for x, rounding your answer to the nearest thousandth.

Find two consecutive integers whose product is 10 more than the square of the smaller number.

The sum of two consecutive numbers is Which of the following equations describes this situation?

Solve the inequality and write the solution set in interval notation.

The projected public college enrollment (in thousands) in the United States from 2005 to 2015 can be modeled by where represents the year, with corresponding to 2005.Use the model to predict the year that public college enrollment will exceed 14,800,000.

You accept a new job with a starting salary of $56,000.You receive a 4.9% raise at the start of your second year, a 7.4% raise at the start of your third year, and a 8% raise at the start of your fourth year.Find your salary for the fourth year.

How much water must be added to 8 liters of a 51% saline solution to dilute it to a 36% saline solution? Round answer to nearest tenth of a liter.

Solve using the quadratic formula.

Fundamental Concepts of Algebra

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Systems of Equations and Inequalities

Matrices and Determinants

Sequences, Series, and Probability

Filters