Question 1

Find all real solutions. (w - 5)-1/3 = 1

Accepted Answer

A)  {-6, 6} 
B)  {-24} 
C)    
D)  {6} 
A)  {-6, 6} 
B)  {-24} 
C)    
D)  {6} D

Question 2

Find all real solutions.

Accepted Answer

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

Question 3

Simplify:

Accepted Answer

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

Question 4

Find all real solutions.

Accepted Answer

A)  {1, 2} 
B)  {-1, 1} 
C)    
D)  {-1} 
A)  {1, 2} 
B)  {-1, 1} 
C)    
D)  {-1}

Question 5

Simplify. Assume variables represent positive numbers.

Accepted Answer

A)  The expression cannot be simplified. 
B) 
  
C) 
  
D) 
  
A)  The expression cannot be simplified. 
B) 
  
C) 
  
D)

Question 6

Write the expression in the form a + bi, where a and b are real numbers.

Accepted Answer

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

Question 7

Simplify.

Accepted Answer

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

Question 8

Find all real solutions. (s + 5)2 - 10 = 0

Accepted Answer

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

Question 9

Simplify. Assume the variables represent positive real numbers.

Accepted Answer

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

Question 10

The diagonal of a square measures 12 inches. What is the length of the sides?

Accepted Answer

A)  6   inches 
B)  6   inches 
C)  12   inches 
D)  6 inches 
A)  6   inches 
B)  6   inches 
C)  12   inches 
D)  6 inches

Question 11

Simplify.

Accepted Answer

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

Question 12

Find the complex solutions.

Accepted Answer

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

Question 13

Rewrite the expression with a rational denominator.

Accepted Answer

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

Question 14

Write in simplified radical form.

Accepted Answer

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

Question 15

Find the root.

Accepted Answer

A)  -3, 3 
B)  Not a real number. 
C)  -3 
D)  3 
A)  -3, 3 
B)  Not a real number. 
C)  -3 
D)  3

Question 16

Find the product.

Accepted Answer

A)  -21 
B)  89 
C)  111 
D)  1 
A)  -21 
B)  89 
C)  111 
D)  1

Question 17

Evaluate: (125)-4/3

Accepted Answer

A)    
B)  5 
C)    
D)    
A)    
B)  5 
C)    
D)

Question 18

Find the quotient.

Accepted Answer

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

Question 19

Find the domain of the radical function.

Accepted Answer

A)    
B)  (-∞, ∞) 
C)    
D)    
A)    
B)  (-∞, ∞) 
C)    
D)

Question 20

Find the root. Assume the variable represents a positive real number.

Accepted Answer

A)  z15 
B)  z5 
C)  z4 
D)  z 
A)  z15 
B)  z5 
C)  z4 
D)  z

Exam 9: Section 1: Radicals and Rational Exponents

Find all real solutions. (w - 5)-1/3 = 1

Find all real solutions.

Simplify:

Find all real solutions.

Simplify. Assume variables represent positive numbers.

Write the expression in the form a + bi, where a and b are real numbers.

Simplify.

Find all real solutions. (s + 5)2 - 10 = 0

Simplify. Assume the variables represent positive real numbers.

The diagonal of a square measures 12 inches. What is the length of the sides?

Simplify.

Find the complex solutions.

Rewrite the expression with a rational denominator.

Write in simplified radical form.

Find the root.

Find the product.

Evaluate: (125)-4/3

Find the quotient.

Find the domain of the radical function.

Find the root. Assume the variable represents a positive real number.

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 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

Filters

Find all real solutions. (w - 5)^-1/3 = 1

Find all real solutions. (s + 5)² - 10 = 0

Evaluate: (125)^-4/3