Question 1

Find the midpoint and length of the line segment with the endpoints (3,2) and (13,26).

Accepted Answer

A)  (9, 15), 13 
B)  (8, 14), 13 
C)  (-2, -10), 26 
D)  (8, 14), 26 
A)  (9, 15), 13 
B)  (8, 14), 13 
C)  (-2, -10), 26 
D)  (8, 14), 26

Question 2

Which of the following is the correct graph of   ?

Accepted Answer

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

Question 3

Write ln(x10) - ln(x6) as a single logarithm.

Accepted Answer

A)  ln(x4) 
B)  The logarithms cannot be combined. 
C)  ln(x60) 
D)  ln(x16) 
A)  ln(x4) 
B)  The logarithms cannot be combined. 
C)  ln(x60) 
D)  ln(x16)

Question 4

Which of the following is the correct graph of y = x2 + 1?

Accepted Answer

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

Question 5

Simplify: y - (6y + 5)

Accepted Answer

A)  7y - 5 
B)  -5y + 5 
C)  -5y - 5 
D)  7y + 5 
A)  7y - 5 
B)  -5y + 5 
C)  -5y - 5 
D)  7y + 5

Question 6

Determine all asymptotes for the graph of the given function.

Accepted Answer

A)  Vertical : x = -2; Oblique:
  
B)  Vertical : x = 2; Horizontal: x-axis. 
C)  Vertical : x = -2; Horizontal: x-axis. 
D)  Vertical : x = 2; Oblique:
  
A)  Vertical : x = -2; Oblique:
  
B)  Vertical : x = 2; Horizontal: x-axis. 
C)  Vertical : x = -2; Horizontal: x-axis. 
D)  Vertical : x = 2; Oblique:

Question 7

For the given polynomial, find the x-intercepts and determine the behavior of the graph of the polynomial at each x-intercept. f(x) = x3 - 10x2

Accepted Answer

A)  Crosses at (10, 0) and at (-10, 0) but does not cross at (0, 0) 
B)  Crosses at (10, 0) but does not cross at (0, 0) 
C)  Crosses at (10, 0) 
D)  Crosses at (10, 0) and at (0, 0) 
A)  Crosses at (10, 0) and at (-10, 0) but does not cross at (0, 0) 
B)  Crosses at (10, 0) but does not cross at (0, 0) 
C)  Crosses at (10, 0) 
D)  Crosses at (10, 0) and at (0, 0)

Question 8

Find the inverse of the given function and include any domain restrictions. f(x) = (x - 6)2

Accepted Answer

A) 
  + 6 for
  
B) 
  + 6 for
  -6 
C) 
  - 6 for any real number x 
D) 
  + 6 for any real number x 
A) 
  + 6 for
  
B) 
  + 6 for
  -6 
C) 
  - 6 for any real number x 
D) 
  + 6 for any real number x

Question 9

The solution set is not the empty set for which one of the following inequalities?

Accepted Answer

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

Question 10

If a golf ball is dropped from a tall building, the distance it has fallen in feet is given by 16t2, where t is the time in seconds since the ball was dropped. How far has the ball fallen after 12 seconds?

Accepted Answer

A)  240 ft 
B)  192 ft 
C)  1936 ft 
D)  2304 ft 
A)  240 ft 
B)  192 ft 
C)  1936 ft 
D)  2304 ft

Exam 18: Algebraic Equation Practice

Find the midpoint and length of the line segment with the endpoints (3,2) and (13,26).

Which of the following is the correct graph of ?

Write ln(x10) - ln(x6) as a single logarithm.

Which of the following is the correct graph of y = x2 + 1?

Simplify: y - (6y + 5)

Determine all asymptotes for the graph of the given function.

For the given polynomial, find the x-intercepts and determine the behavior of the graph of the polynomial at each x-intercept. f(x) = x3 - 10x2

Find the inverse of the given function and include any domain restrictions. f(x) = (x - 6)2

The solution set is not the empty set for which one of the following inequalities?

If a golf ball is dropped from a tall building, the distance it has fallen in feet is given by 16t2, where t is the time in seconds since the ball was dropped. How far has the ball fallen after 12 seconds?

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

Write ln(x¹⁰) - ln(x⁶) as a single logarithm.

Which of the following is the correct graph of y = x²+ 1?

For the given polynomial, find the x-intercepts and determine the behavior of the graph of the polynomial at each x-intercept. f(x) = x³ - 10x²

Find the inverse of the given function and include any domain restrictions. f(x) = (x - 6)²

If a golf ball is dropped from a tall building, the distance it has fallen in feet is given by 16t², where t is the time in seconds since the ball was dropped. How far has the ball fallen after 12 seconds?