Question 1

Find all real solutions of the given equation. (x2 - x)2 - 39(x2 - x) - 126 = 0

Accepted Answer

A)  {-7, 6} 
B)  {-7, 3, 6} 
C)  {-6, -3, 7} 
D)  {-6, 7} 
A)  {-7, 6} 
B)  {-7, 3, 6} 
C)  {-6, -3, 7} 
D)  {-6, 7} D

Question 2

Which choice below is the correct graph of   ?

Accepted Answer

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

Question 3

Write an equation that represents a line l that goes through (12, 5) and has a slope of   .

Accepted Answer

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

Question 4

In a certain country there are currently 125 million workers and 50 million retired people. The population of workers is decreasing according to the formula   , where t is in years and W is in millions. The population of retired people is increasing according to the formula   , where t is in years and R is in millions. In how many years will the number of workers equal the number of retired people?

Accepted Answer

A)  13.1 years 
B)  14.1 years 
C)  5.3 years 
D)  10.8 years 
A)  13.1 years 
B)  14.1 years 
C)  5.3 years 
D)  10.8 years

Question 5

Write the standard equation for the circle with the given radius and center. Center (9, 5), radius

Accepted Answer

A)  (x + 9)2 + (y + 5)2 = 196 
B)  (x - 9)2 + (y - 5)2 = 196 
C)  (x - 9)2 + (y - 5)2 = 14 
D)  (x + 9)2 + (y + 5)2 = 14 
A)  (x + 9)2 + (y + 5)2 = 196 
B)  (x - 9)2 + (y - 5)2 = 196 
C)  (x - 9)2 + (y - 5)2 = 14 
D)  (x + 9)2 + (y + 5)2 = 14

Question 6

The owner of a hobby store bought a case of 9-volt batteries for $24.00. He marked the price up such that his profit was $1.76 per battery. After selling 12 batteries, the store owner had recovered his cost. How many 9-volt batteries are in a case?

Accepted Answer

A)  100 batteries 
B)  110 batteries 
C)  105 batteries 
D)  95 batteries 
A)  100 batteries 
B)  110 batteries 
C)  105 batteries 
D)  95 batteries

Question 7

Find the sum of the given series.

Accepted Answer

A)  -108 
B)  99 
C)  -99 
D)  108 
A)  -108 
B)  99 
C)  -99 
D)  108

Question 8

Solve the equation. Watch for extraneous solutions.

Accepted Answer

A)  -5, 5 
B)  No solution 
C)  7, -4 
D)  5 
A)  -5, 5 
B)  No solution 
C)  7, -4 
D)  5

Question 9

Find the complex solutions.

Accepted Answer

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

Question 10

Kamika works at a bakery and can prepare a birthday cake in 4 hours. It takes her 5 hours to prepare a wedding cake. If Kamika works a 40-hour week, and if she must bake more birthday cakes than wedding cakes, which graph below correctly illustrates the number of each type of cake Kamika can bake per week?

Accepted Answer

A) 
  
B) 
  
C) 
  
D)  None of these. 
A) 
  
B) 
  
C) 
  
D)  None of these.

Question 11

Graph both equations of the system on the same coordinate axes. Use elimination to find all points of intersection. y = 1 - x2
X2 + 4y2 = 4

Accepted Answer

A)  (-2, 0), (2, 0)
  
B)  (0, -1),
  ,

C)  (-2, 0), (2, 0)
  
D)  (0, 1),
  ,

A)  (-2, 0), (2, 0)
  
B)  (0, -1),
  ,

C)  (-2, 0), (2, 0)
  
D)  (0, 1),
  ,

Question 12

Find the complex solutions.

Accepted Answer

A)    
B)  {9i} 
C)  {-9i, 9i} 
D)  {-81i, 81i} 
A)    
B)  {9i} 
C)  {-9i, 9i} 
D)  {-81i, 81i}

Question 13

If $700 is deposited in an account paying 9% compounded continuously, then what amount will be in the account after 5 years?

Accepted Answer

A)  $1,097.82 
B)  $960.06 
C)  $2,157.15 
D)  $1,262.74 
A)  $1,097.82 
B)  $960.06 
C)  $2,157.15 
D)  $1,262.74

Question 14

Solve. (z + 4)1/3 = -4

Accepted Answer

A)  {-68, 68} 
B)  {-60} 
C)  {-68} 
D)  {-68, -60} 
A)  {-68, 68} 
B)  {-60} 
C)  {-68} 
D)  {-68, -60}

Question 15

Together, Paul and Quincy weigh 357 pounds, Quincy and Ramon weigh 348 pounds, and Paul and Ramon weigh 337 pounds. How much does each weigh individually?

Accepted Answer

A)  Paul = 175 lb., Quincy = 180 lb. , Ramon = 166 lb. 
B)  Paul = 163 lb., Quincy = 184 lb. , Ramon = 174 lb. 
C)  Paul = 173 lb., Quincy = 184 lb. , Ramon = 164 lb. 
D)  Paul = 181 lb., Quincy = 180 lb. , Ramon = 160 lb. 
A)  Paul = 175 lb., Quincy = 180 lb. , Ramon = 166 lb. 
B)  Paul = 163 lb., Quincy = 184 lb. , Ramon = 174 lb. 
C)  Paul = 173 lb., Quincy = 184 lb. , Ramon = 164 lb. 
D)  Paul = 181 lb., Quincy = 180 lb. , Ramon = 160 lb.

Question 16

Simplify.

Accepted Answer

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

Question 17

Simplify.

Accepted Answer

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

Question 18

If a rancher has one sheep with hoof and mouth disease in a flock of 1600, then the time in days t for n sheep to become infected is modeled by   . To the nearest tenth, find the number of days it takes for one-half of the flock to contract the disease.

Accepted Answer

A)  14.8 days 
B)  22.1 days 
C)  15.6 days 
D)  36.8 days 
A)  14.8 days 
B)  22.1 days 
C)  15.6 days 
D)  36.8 days

Question 19

Factor. 64y3 - 125z3

Accepted Answer

A)  (4y + 5z)(16y2 - 20yz + 25z2) 
B)  (4y - 5z)(16y2 + 20yz + 25z2) 
C)  (4y - 5z)(4y2 + 20yz + 5z2) 
D)  (4y - 5z)(16y2 - 20yz + 25z2) 
A)  (4y + 5z)(16y2 - 20yz + 25z2) 
B)  (4y - 5z)(16y2 + 20yz + 25z2) 
C)  (4y - 5z)(4y2 + 20yz + 5z2) 
D)  (4y - 5z)(16y2 - 20yz + 25z2)

Question 20

Justin is shopping for new tires for his 4-wheel-drive truck. In addition to the price of the tires, there is a 7% sales tax plus a state-mandated $40 fee for disposing of his old tires. If Justin has determined that he will spend less than $301.08 total, then what is the price range he can spend on the tire set?

Accepted Answer

A)  $244 or more 
B)  Less than $244 
C)  Less than $248 
D)  At least $247 
A)  $244 or more 
B)  Less than $244 
C)  Less than $248 
D)  At least $247

Exam 18: Algebraic Equation Practice

Find all real solutions of the given equation. (x2 - x)2 - 39(x2 - x) - 126 = 0

Which choice below is the correct graph of ?

Write an equation that represents a line l that goes through (12, 5) and has a slope of .

Write the standard equation for the circle with the given radius and center. Center (9, 5), radius

The owner of a hobby store bought a case of 9-volt batteries for $24.00. He marked the price up such that his profit was $1.76 per battery. After selling 12 batteries, the store owner had recovered his cost. How many 9-volt batteries are in a case?

Find the sum of the given series.

Solve the equation. Watch for extraneous solutions.

Find the complex solutions.

Graph both equations of the system on the same coordinate axes. Use elimination to find all points of intersection. y = 1 - x2 X2 + 4y2 = 4

Find the complex solutions.

If $700 is deposited in an account paying 9% compounded continuously, then what amount will be in the account after 5 years?

Solve. (z + 4)1/3 = -4

Together, Paul and Quincy weigh 357 pounds, Quincy and Ramon weigh 348 pounds, and Paul and Ramon weigh 337 pounds. How much does each weigh individually?

Simplify.

Simplify.

If a rancher has one sheep with hoof and mouth disease in a flock of 1600, then the time in days t for n sheep to become infected is modeled by . To the nearest tenth, find the number of days it takes for one-half of the flock to contract the disease.

Factor. 64y3 - 125z3

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 1: More on Inequalities

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

Filters

Find all real solutions of the given equation. (x² - x)² - 39(x² - x) - 126 = 0

Graph both equations of the system on the same coordinate axes. Use elimination to find all points of intersection. y = 1 - x² X² + 4y² = 4

Solve. (z + 4)^1/3 = -4

Factor. 64y³ - 125z³