Question 1

Choose the one alternative that best completes the statement or answers the question. 
 
Solve the equation.
-    + 7+ 3 =

Accepted Answer

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

Question 2

Solve the problem.
-A box in the shape of a cube has a volume of 27 cubic inches. What is the depth of the box?

Accepted Answer

A)  3 in. 
B)  6 in. 
C)  9 in. 
D)  5 in. 
A)  3 in. 
B)  6 in. 
C)  9 in. 
D)  5 in. A

Question 3

Solve the problem.
-The radius of the circular top or bottom of a tin can with a surface area S and a height h is given by   What radius should be used to make a can with a height of 30 inches and a surface area of 8100 square inches?

Accepted Answer

A)  54 inches 
B)  26 inches 
C)  13 inches 
D)  24 inches 
A)  54 inches 
B)  26 inches 
C)  13 inches 
D)  24 inches D

Question 4

Rationalize the denominator and simplify.
-

Accepted Answer

A)    
B)  51 
C)    
D)  2   
A)    
B)  51 
C)    
D)  2

Question 5

Perform the indicated operations. Assume that all variables represent nonnegative real numbers.
-3   + 3

Accepted Answer

A)  3   
B)  18x 
C)  6   
D)  18   
A)  3   
B)  18x 
C)  6   
D)  18

Question 6

Simplify.
-  .

Accepted Answer

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

Question 7

Perform the indicated operation and express the answer in simplest form.
-  ( 7   -   )

Accepted Answer

A)  7   - 2 
B)  6   
C)  7   - 2 
D)  7   - 2   
A)  7   - 2 
B)  6   
C)  7   - 2 
D)  7   - 2

Question 8

Solve the equation.
-s = 128 + 8

Accepted Answer

A)  { 192} 
B)  { 512} 
C)  { 256} 
D)  { 128} 
A)  { 192} 
B)  { 512} 
C)  { 256} 
D)  { 128}

Question 9

Write the word or phrase that best completes each statement or answers the question. 
 
Provide the proper response.
-Give the definition or an example of the following word or phrase: Like radicals

Accepted Answer

Radicals h

Question 10

Solve the equation.
-  + 22 = 21

Accepted Answer

A)    
B)  { 440} 
C)  {-220} 
D)  { 110} 
A)    
B)  { 440} 
C)  {-220} 
D)  { 110}

Question 11

Solve the problem.
-Fill in the blank.   + 2   cannot be simplified because the _________ are not the same.

Accepted Answer

A)  roots or indexes 
B)  radicands 
C)  variables 
D)  coefficients 
A)  roots or indexes 
B)  radicands 
C)  variables 
D)  coefficients

Question 12

Choose the answer which is equivalent to the given radical.
-

Accepted Answer

A)  625 
B)  5 
C)  -5, 5 
D)  Not a real number 
A)  625 
B)  5 
C)  -5, 5 
D)  Not a real number

Question 13

Write the word or phrase that best completes each statement or answers the question. 
 
Provide the proper response.
-To rationalize the denominator of an expression such as   , we multiply both the numerator and the denominator by   . By what number are we actually multiplying the given expression, and what property of real numbers justifies the fact that our result is equal to the given expression?

Accepted Answer

1; identit

Question 14

Simplify the radical.
-

Accepted Answer

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

Question 15

Simplify the expression.
-

Accepted Answer

A)    
B)    
C)    
D)  0 
A)    
B)    
C)    
D)  0

Question 16

Simplify the radical expression. Assume that all variables represent nonnegative real numbers.
-(   +   )(   -   )

Accepted Answer

A)  12 - 2   
B)  12 - 2   
C)  12 - z 
D)  12z 
A)  12 - 2   
B)  12 - 2   
C)  12 - z 
D)  12z

Question 17

Write the word or phrase that best completes each statement or answers the question. 
 
Provide an appropriate response.
-Describe some situation in which it would be important to be able to simplify radical expressions.

Accepted Answer

Answers will vary. A sample answer might

Question 18

Simplify and add or subtract wherever possible.
-10   + 9   + 7

Accepted Answer

A)  1684   
B)  166   
C)  10   
D)  -1684   
A)  1684   
B)  166   
C)  10   
D)  -1684

Question 19

Simplify the radical.
-

Accepted Answer

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

Question 20

Write the word or phrase that best completes each statement or answers the question.
- The easiest way to simplify the expression 3   is to multiply both the numerator and denominator of   by   .

Accepted Answer

A) True 
 B)False

Choose the one alternative that best completes the statement or answers the question. Solve the equation. - + 7+ 3 =

Solve the problem. -A box in the shape of a cube has a volume of 27 cubic inches. What is the depth of the box?

Solve the problem. -The radius of the circular top or bottom of a tin can with a surface area S and a height h is given by What radius should be used to make a can with a height of 30 inches and a surface area of 8100 square inches?

Rationalize the denominator and simplify. -

Perform the indicated operations. Assume that all variables represent nonnegative real numbers. -3 + 3

Simplify. - .

Perform the indicated operation and express the answer in simplest form. - ( 7 - )

Solve the equation. -s = 128 + 8

Write the word or phrase that best completes each statement or answers the question. Provide the proper response. -Give the definition or an example of the following word or phrase: Like radicals

Solve the equation. - + 22 = 21

Solve the problem. -Fill in the blank. + 2 cannot be simplified because the _________ are not the same.

Choose the answer which is equivalent to the given radical. -

Simplify the radical. -

Simplify the expression. -

Simplify the radical expression. Assume that all variables represent nonnegative real numbers. -( + )( - )

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Describe some situation in which it would be important to be able to simplify radical expressions.

Simplify and add or subtract wherever possible. -10 + 9 + 7

Simplify the radical. -

Write the word or phrase that best completes each statement or answers the question. - The easiest way to simplify the expression ³is to multiply both the numerator and denominator of by .

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

Exam 9: Quadratic Equations

Choose the one alternative that best completes the statement or answers the question. Solve the equation. - + 7+ 3 =

Solve the problem. -A box in the shape of a cube has a volume of 27 cubic inches. What is the depth of the box?

Solve the problem. -The radius of the circular top or bottom of a tin can with a surface area S and a height h is given by What radius should be used to make a can with a height of 30 inches and a surface area of 8100 square inches?

Rationalize the denominator and simplify. -

Perform the indicated operations. Assume that all variables represent nonnegative real numbers. -3 + 3

Simplify. - .

Perform the indicated operation and express the answer in simplest form. - ( 7 - )

Solve the equation. -s = 128 + 8

Write the word or phrase that best completes each statement or answers the question. Provide the proper response. -Give the definition or an example of the following word or phrase: Like radicals

Solve the equation. - + 22 = 21

Solve the problem. -Fill in the blank. + 2 cannot be simplified because the _________ are not the same.

Choose the answer which is equivalent to the given radical. -

Simplify the radical. -

Simplify the expression. -

Simplify the radical expression. Assume that all variables represent nonnegative real numbers. -( + )( - )

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Describe some situation in which it would be important to be able to simplify radical expressions.

Simplify and add or subtract wherever possible. -10 + 9 + 7

Simplify the radical. -

Write the word or phrase that best completes each statement or answers the question. - The easiest way to simplify the expression 3 is to multiply both the numerator and denominator of by .

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

Write the word or phrase that best completes each statement or answers the question. - The easiest way to simplify the expression ³is to multiply both the numerator and denominator of by .