Question 1

Solve:

Accepted Answer

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

Question 2

The Belew's Creek Volunteer Fire Department is having a community chicken dinner in order to raise funds. Patrons have a choice between two sizes of dinners. The small dinner costs $2.50 and comes with one piece of chicken and two rolls. The large dinner costs $3.50 and comes with two pieces of chicken and three rolls. The department has a total of 508 rolls and 300 pieces of chicken. How many of each type of dinners need to be sold to maximize the fire department's revenue?

Accepted Answer

A)  254 small dinners, 0 large dinners 
B)  0 small dinners, 92 large dinners 
C)  269 small dinners, 2 large dinners 
D)  259 small dinners, 10 large dinners 
A)  254 small dinners, 0 large dinners 
B)  0 small dinners, 92 large dinners 
C)  269 small dinners, 2 large dinners 
D)  259 small dinners, 10 large dinners A

Question 3

Write as a single interval if possible: [-6, F1F1F1S1F1F1F10)F1F1F1S1F1F1F10(-4, F1F1F1S1F1F1F10)

Accepted Answer

A)  [-6, F1F1F1S1F1F1F10)F1F1F1S1F1F1F10(-4, F1F1F1S1F1F1F10) 
B)  (-6, F1F1F1S1F1F1F10) 
C)  [-6, F1F1F1S1F1F1F10) 
D)  (-4, F1F1F1S1F1F1F10) 
A)  [-6, F1F1F1S1F1F1F10)F1F1F1S1F1F1F10(-4, F1F1F1S1F1F1F10) 
B)  (-6, F1F1F1S1F1F1F10) 
C)  [-6, F1F1F1S1F1F1F10) 
D)  (-4, F1F1F1S1F1F1F10) C

Question 4

Solve the inequality and write the solution set in interval notation. 3 < |x| - 2

Accepted Answer

A)  (-F1F1F1S1F1F1F10, -5)F1F1F1S1F1F1F10(5, F1F1F1S1F1F1F10) 
B)  (-F1F1F1S1F1F1F10, -5)F1F1F1S1F1F1F10(5, F1F1F1S1F1F1F10) 
C)  (-5, 5) 
D)  (5, F1F1F1S1F1F1F10) 
A)  (-F1F1F1S1F1F1F10, -5)F1F1F1S1F1F1F10(5, F1F1F1S1F1F1F10) 
B)  (-F1F1F1S1F1F1F10, -5)F1F1F1S1F1F1F10(5, F1F1F1S1F1F1F10) 
C)  (-5, 5) 
D)  (5, F1F1F1S1F1F1F10)

Question 5

Determine if the compound inequality is true: 4 F1F1F1S1F1F1F10 4 and 4 > 0

Accepted Answer

A)  No 
B)  Yes 
A)  No 
B)  Yes

Question 6

Write an inequality to describe the given graph.

Accepted Answer

A)  x  -3 or x F1F1F1S1F1F1F10 4 
D)  -3 < x F1F1F1S1F1F1F10 4 
A)  x  -3 or x F1F1F1S1F1F1F10 4 
D)  -3 < x F1F1F1S1F1F1F10 4

Question 7

Solve: |x - 10| = 8

Accepted Answer

A)  {2, 18} 
B)  {-18, 18} 
C)  {2} 
D)  {18} 
A)  {2, 18} 
B)  {-18, 18} 
C)  {2} 
D)  {18}

Question 8

Determine whether the absolute value inequality is equivalent to the inequality following it: |4 - x| < 14, 4 - x < 14 and -(4 - x) < 14

Accepted Answer

A)  No 
B)  Yes 
A)  No 
B)  Yes

Question 9

Which of the following graphs correctly represents the solution set of the compound inequality   or   ?

Accepted Answer

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

Question 10

Determine which list of ordered pairs satisfies the compound inequality.

Accepted Answer

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

Question 11

Professor Jackson gives only a mid-term exam and a final exam. The semester average is computed by taking   of the mid-term exam score plus   of the final exam score. To get a C, Birgit must have a semester average between 70 and 79 inclusive. If Birgit scored 70 on the mid-term exam, what range of scores on the final exam would give her a C ?

Accepted Answer

A)  f is the final exam score ; 68 F1F1F1S1F1F1F10 f F1F1F1S1F1F1F10 90.5 
B)  f is the final exam score ; 73 F1F1F1S1F1F1F10 f F1F1F1S1F1F1F10 92.5 
C)  f is the final exam score ; 70 F1F1F1S1F1F1F10 f F1F1F1S1F1F1F10 92.5 
D)  f is the final exam score ; 72.5 F1F1F1S1F1F1F10 f F1F1F1S1F1F1F10 90.5 
A)  f is the final exam score ; 68 F1F1F1S1F1F1F10 f F1F1F1S1F1F1F10 90.5 
B)  f is the final exam score ; 73 F1F1F1S1F1F1F10 f F1F1F1S1F1F1F10 92.5 
C)  f is the final exam score ; 70 F1F1F1S1F1F1F10 f F1F1F1S1F1F1F10 92.5 
D)  f is the final exam score ; 72.5 F1F1F1S1F1F1F10 f F1F1F1S1F1F1F10 90.5

Question 12

Trisha needs to adjust her cholesterol level to a target value of 150. She recalls that her cholesterol level differed from her target value by 16 units, but does not recall whether she is above or below the target value. Use an absolute value equation to find the possible values for Trisha's cholesterol level.

Accepted Answer

A)  118 or 134 
B)  129 or 161 
C)  134 or 166 
D)  144 or 176 
A)  118 or 134 
B)  129 or 161 
C)  134 or 166 
D)  144 or 176

Question 13

Which of the following graphs correctly represents the solution set of the inequality   ?

Accepted Answer

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

Question 14

Solve: -4 - |-11 - x| = -10

Accepted Answer

A)  {-19, -3} 
B)  {-17, -5} 
C)  {-16, -2} 
D)  {-16, -4} 
A)  {-19, -3} 
B)  {-17, -5} 
C)  {-16, -2} 
D)  {-16, -4}

Question 15

Graph the solution to the compound inequality.

Accepted Answer

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

Question 16

Graph the solution to the absolute value inequality.

Accepted Answer

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

Question 17

Graph the solution set for the following system of inequalities and identify each vertex of the region. x F1F1F1S1F1F1F10 0, y F1F1F1S1F1F1F10 0
Y F1F1F1S1F1F1F10 3, y F1F1F1S1F1F1F10 x

Accepted Answer

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

Question 18

The solution set is the empty set for which one of the following inequalities?

Accepted Answer

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

Question 19

Tim works at a bakery and can prepare a birthday cake in 4 hours. It takes him 5 hours to prepare a wedding cake. If Tim works a 40-hour week, draw a graph illustrating the number of each type of cake Tim can bake per week.

Accepted Answer

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

Question 20

Graph the solution to the absolute value inequality.

Accepted Answer

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

Exam 8: Section 1: More on Inequalities

Solve:

Write as a single interval if possible: [-6, )(-4, )

Solve the inequality and write the solution set in interval notation. 3 < |x| - 2

Determine if the compound inequality is true: 4  4 and 4 > 0

Write an inequality to describe the given graph.

Solve: |x - 10| = 8

Determine whether the absolute value inequality is equivalent to the inequality following it: |4 - x| < 14, 4 - x < 14 and -(4 - x) < 14

Which of the following graphs correctly represents the solution set of the compound inequality or ?

Determine which list of ordered pairs satisfies the compound inequality.

Which of the following graphs correctly represents the solution set of the inequality ?

Solve: -4 - |-11 - x| = -10

Graph the solution to the compound inequality.

Graph the solution to the absolute value inequality.

Graph the solution set for the following system of inequalities and identify each vertex of the region. x  0, y  0 Y  3, y  x

The solution set is the empty set for which one of the following inequalities?

Tim works at a bakery and can prepare a birthday cake in 4 hours. It takes him 5 hours to prepare a wedding cake. If Tim works a 40-hour week, draw a graph illustrating the number of each type of cake Tim can bake per week.

Graph the solution to the absolute value inequality.

Section 1: Real Numbers and Their Properties

Section 2: Real Numbers and Their Properties

Section 1: Linear Equations and Inequalities in One Variable

Section 2: Linear Equations and Inequalities in One Variable

Section 1: Linear Equations and Inequalities in Two Variables

Section 2: Linear Equations and Inequalities in Two Variables

Section 1: Exponents and Polynomials

Section 2: Exponents and Polynomials

Section 1: Factoring

Section 2: Factoring

Section 1: Rational Expressions

Section 2: Rational Expressions

Section 1: Systems of Linear Equations

Section 2: Systems of Linear Equations

Section 2: More on Inequalities

Section 1: Radicals and Rational Exponents

Section 2: Radicals and Rational Exponents

Section 1: Quadratic Equations and Inequalities

Section 2: Quadratic Equations and Inequalities

Section 1: Functions

Section 2: Functions

Section 1: Exponential and Logarithmic Functions

Section 2: Exponential and Logarithmic Functions

Section 1: Nonlinear Systems and the Conic Sections

Section 2: Nonlinear Systems and the Conic Sections

Section 1: Sequences and Series Available Online at Www.mhhe.com/dugopolski

Section 2: Sequences and Series Available Online at Www.mhhe.com/dugopolski

Mathematical Problem Set

Algebraic Equations and Problem Solving

Algebra and Math Problems

Algebraic Equation Practice

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