Question 1

Rationalize the denominator and simplify.
-

Accepted Answer

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

Question 2

Identify the given number as "Rational", "Irrational", or "Not a real number". If the number is rational, give its exact value. If the number is irrational, give a decimal approximation to the nearest thousandth.
-

Accepted Answer

A)  Rational, -10.198 
B)  Irrational, -10.198 
C)  Irrational, 10.198 
D)  Not a real number 
A)  Rational, -10.198 
B)  Irrational, -10.198 
C)  Irrational, 10.198 
D)  Not a real number

Question 3

Simplify the expression.
-  .

Accepted Answer

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

Question 4

Simplify the expression.
-

Accepted Answer

A)  4xy   
B)  4xy   
C)  4xy   
D)  2xy   
A)  4xy   
B)  4xy   
C)  4xy   
D)  2xy

Question 5

Find the square root.
-

Accepted Answer

A)  -15 
B)  Not a real number 
C)  15 
D)  112 
A)  -15 
B)  Not a real number 
C)  15 
D)  112

Question 6

Choose the one alternative that best completes the statement or answers the question. 
 
Solve the equation.
-  +   = 4

Accepted Answer

A)  {3} 
B)    
C)  {-3} 
D)    
A)  {3} 
B)    
C)  {-3} 
D)

Question 7

Write the quotient in lowest terms.
-

Accepted Answer

A)  2 
B)  9   + 1 
C)    - 1 
D)    + 1 
A)  2 
B)  9   + 1 
C)    - 1 
D)    + 1

Question 8

Find the root.
-

Accepted Answer

A)  15.811 
B)  31.623 
C)  -10 
D)  Not a real number 
A)  15.811 
B)  31.623 
C)  -10 
D)  Not a real number

Question 9

Find the distance between the pair of points.
-  and

Accepted Answer

A)  6 
B)    
C)  18 
D)    
A)  6 
B)    
C)  18 
D)

Question 10

Rationalize the denominator. Write the quotient in lowest terms.
-

Accepted Answer

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

Question 11

Simplify the radical expression. Assume that all variables represent nonnegative real numbers.
-( 10x - 6   )2

Accepted Answer

A)  100x2 - 120x   + 252 
B)  100x2 - 120x   + 1764 
C)  100x2 + 1764 
D)  100x2 + 252 
A)  100x2 - 120x   + 252 
B)  100x2 - 120x   + 1764 
C)  100x2 + 1764 
D)  100x2 + 252

Question 12

Rationalize the denominator. Assume that all variables represent positive real numbers.
-

Accepted Answer

A)    
B)    
C)  9   
D)  34p 
A)    
B)    
C)  9   
D)  34p

Question 13

Perform the indicated operation and express the answer in simplest form.
-

Accepted Answer

A)  2   - 12   -   - 6   
B)  2   + 12   +   + 6   
C)  2   - 12   +   - 6   
D)  2   - 6   
A)  2   - 12   -   - 6   
B)  2   + 12   +   + 6   
C)  2   - 12   +   - 6   
D)  2   - 6

Question 14

Write the quotient in lowest terms.
-

Accepted Answer

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

Question 15

Simplify the radical.
--

Accepted Answer

A)  -90 
B)  -23 
C)  -6   
D)  -15   
A)  -90 
B)  -23 
C)  -6   
D)  -15

Question 16

Choose the one alternative that best completes the statement or answers the question. 
 
Solve the equation.
-  -   = 1

Accepted Answer

A)  {3} 
B)  {3, -1} 
C)    
D)  {-3, -1} 
A)  {3} 
B)  {3, -1} 
C)    
D)  {-3, -1}

Question 17

Choose the one alternative that best completes the statement or answers the question. 
 
Find the product and simplify, if possible.
-7   * 10

Accepted Answer

A)  70   
B)  280   
C)  28   
D)  40   
A)  70   
B)  280   
C)  28   
D)  40

Question 18

Write the word or phrase that best completes each statement or answers the question. 
 
Provide the proper response.
-Explain how radical denominators are rationalized.

Accepted Answer

Radical denominators are rationalized by

Question 19

Rationalize the denominator and simplify.
-

Accepted Answer

A)  8 
B)    
C)  3   
D)    
A)  8 
B)    
C)  3   
D)

Question 20

Rationalize the denominator and simplify.
-

Accepted Answer

A)    
B)  10   
C)    
D)    
A)    
B)  10   
C)    
D)

Rationalize the denominator and simplify. -

Identify the given number as "Rational", "Irrational", or "Not a real number". If the number is rational, give its exact value. If the number is irrational, give a decimal approximation to the nearest thousandth. -

Simplify the expression. - .

Simplify the expression. -

Find the square root. -

Choose the one alternative that best completes the statement or answers the question. Solve the equation. - + = 4

Write the quotient in lowest terms. -

Find the root. -

Find the distance between the pair of points. - and

Rationalize the denominator. Write the quotient in lowest terms. -

Simplify the radical expression. Assume that all variables represent nonnegative real numbers. -( 10x - 6 )²

Rationalize the denominator. Assume that all variables represent positive real numbers. -

Perform the indicated operation and express the answer in simplest form. -

Write the quotient in lowest terms. -

Simplify the radical. --

Choose the one alternative that best completes the statement or answers the question. Solve the equation. - - = 1

Choose the one alternative that best completes the statement or answers the question. Find the product and simplify, if possible. -7 * 10

Write the word or phrase that best completes each statement or answers the question. Provide the proper response. -Explain how radical denominators are rationalized.

Rationalize the denominator and simplify. -

Rationalize the denominator and simplify. -

The Real Number System

Linear Equations and Inequalities in One Variable

Linear Equations and Inequalities in Two Variables; Functions

Systems of Linear Equations and Inequalities

Exponents and Polynomials

Factoring and Applications

Rational Expressions and Applications

Roots and Radicals

Preparing for Your Math Final

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Exam 9: Quadratic Equations

Rationalize the denominator and simplify. -

Identify the given number as "Rational", "Irrational", or "Not a real number". If the number is rational, give its exact value. If the number is irrational, give a decimal approximation to the nearest thousandth. -

Simplify the expression. - .

Simplify the expression. -

Find the square root. -

Choose the one alternative that best completes the statement or answers the question. Solve the equation. - + = 4

Write the quotient in lowest terms. -

Find the root. -

Find the distance between the pair of points. - and

Rationalize the denominator. Write the quotient in lowest terms. -

Simplify the radical expression. Assume that all variables represent nonnegative real numbers. -( 10x - 6 )2

Rationalize the denominator. Assume that all variables represent positive real numbers. -

Perform the indicated operation and express the answer in simplest form. -

Write the quotient in lowest terms. -

Simplify the radical. --

Choose the one alternative that best completes the statement or answers the question. Solve the equation. - - = 1

Choose the one alternative that best completes the statement or answers the question. Find the product and simplify, if possible. -7 * 10

Write the word or phrase that best completes each statement or answers the question. Provide the proper response. -Explain how radical denominators are rationalized.

Rationalize the denominator and simplify. -

Rationalize the denominator and simplify. -

The Real Number System

Linear Equations and Inequalities in One Variable

Linear Equations and Inequalities in Two Variables; Functions

Systems of Linear Equations and Inequalities

Exponents and Polynomials

Factoring and Applications

Rational Expressions and Applications

Roots and Radicals

Preparing for Your Math Final

Filters

Simplify the radical expression. Assume that all variables represent nonnegative real numbers. -( 10x - 6 )²