Question 1

Choose the one alternative that best completes the statement or answers the question. 
 
Simplify the expression.
-(   +   ) (   +   )

Accepted Answer

A)  2   +   
B)  2   
C)  2   +   + 10 +   
D)  2   +   + 100 +   
A)  2   +   
B)  2   
C)  2   +   + 10 +   
D)  2   +   + 100 +

Question 2

Simplify the radical.
-

Accepted Answer

A)  -   
B)    
C)  -6 
D)  -   
A)  -   
B)    
C)  -6 
D)  -

Question 3

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

Accepted Answer

A)  6 
B)  Not a real number 
C)  -6, 6 
D)  36 
A)  6 
B)  Not a real number 
C)  -6, 6 
D)  36

Question 4

Find all square roots of the number
-64

Accepted Answer

A)  16, -16 
B)  10, -10 
C)  8, -8 
D)  9, -9 
A)  16, -16 
B)  10, -10 
C)  8, -8 
D)  9, -9

Question 5

Solve the problem.
-Suppose that there is no straight path for driving between towns A and B. To drive from Town A to Town B, it is necessary to travel due east for 20 miles, then due north for 17 miles. How far apart, to the nearest tenth of a mile, are the towns?

Accepted Answer

A)  26.2 mi 
B)  309.0 mi 
C)  6.1 mi 
D)  417.0 mi 
A)  26.2 mi 
B)  309.0 mi 
C)  6.1 mi 
D)  417.0 mi

Question 6

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

Accepted Answer

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

Question 7

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

Accepted Answer

A)  {0} 
B)  {   , -2} 
C)  {2, -2} 
D)  {-2} 
A)  {0} 
B)  {   , -2} 
C)  {2, -2} 
D)  {-2}

Question 8

Perform the indicated operation and express the answer in simplest form.
-  (   - 6)

Accepted Answer

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

Question 9

Choose the one alternative that best completes the statement or answers the question. 
 
Find the product and simplify, if possible.
-  .   , x?0

Accepted Answer

A)  5   
B)  7   
C)  2   
D)  14x 
A)  5   
B)  7   
C)  2   
D)  14x

Question 10

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, -11.790 
B)  Irrational, -11.790 
C)  Irrational, 11.790 
D)  Not a real number 
A)  Rational, -11.790 
B)  Irrational, -11.790 
C)  Irrational, 11.790 
D)  Not a real number

Question 11

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 
B)  Irrational, -50.000 
C)  Not a real number 
D)  Irrational, -10.000 
A)  Rational, -10 
B)  Irrational, -50.000 
C)  Not a real number 
D)  Irrational, -10.000

Question 12

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

Accepted Answer

A)  { -27, 3} 
B)  { -3, 27} 
C)  { -9, 3} 
D)  { -3, 9} 
A)  { -27, 3} 
B)  { -3, 27} 
C)  { -9, 3} 
D)  { -3, 9}

Question 13

Write the word or phrase that best completes each statement or answers the question. 
 
Provide an appropriate response.
-What are conjugate expressions? Give an example.

Accepted Answer

Answers will vary. A sample answer might

Question 14

Rationalize the denominator and simplify.
-

Accepted Answer

A)    
B)    
C)  3   
D)  52 
A)    
B)    
C)  3   
D)  52

Question 15

Write the word or phrase that best completes each statement or answers the question. 
 
Provide an appropriate response.
-Explain why the equation x2 = 49 has two real number solutions, while the equation   has only one real number solution.

Accepted Answer

When @#IMG-DLM& = 49

Question 16

Find the perimeter of the figure.
-

Accepted Answer

A)  18+ 3     
B)  14   
C)  18   
D)  14   
A)  18+ 3     
B)  14   
C)  18   
D)  14

Question 17

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

Accepted Answer

A)  4 
B)  8 
C)  4 +   -   
D)  4 + 2   + 2   
A)  4 
B)  8 
C)  4 +   -   
D)  4 + 2   + 2

Question 18

Rationalize the denominator.
-

Accepted Answer

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

Question 19

Use a calculator with a cube root key to find the root. Round to the nearest thousandth.
-

Accepted Answer

A)  -12.438 
B)  -51.567 
C)  -5.368 
D)  -7.742 
A)  -12.438 
B)  -51.567 
C)  -5.368 
D)  -7.742

Question 20

Find the square root. Express the answer as a whole number or as a square root. Do not use a calculator.
-

Accepted Answer

A)  7 
B)  11 
C)  17 
D)  13 
A)  7 
B)  11 
C)  17 
D)  13

Choose the one alternative that best completes the statement or answers the question. Simplify the expression. -( + ) ( + )

Simplify the radical. -

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

Find all square roots of the number -64

Solve the problem. -Suppose that there is no straight path for driving between towns A and B. To drive from Town A to Town B, it is necessary to travel due east for 20 miles, then due north for 17 miles. How far apart, to the nearest tenth of a mile, are the towns?

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. Solve the equation. - + = 4

Perform the indicated operation and express the answer in simplest form. - ( - 6)

Choose the one alternative that best completes the statement or answers the question. Find the product and simplify, if possible. - . , x?0

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. --

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. -

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

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -What are conjugate expressions? Give an example.

Rationalize the denominator and simplify. -

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Explain why the equation x² = 49 has two real number solutions, while the equation has only one real number solution.

Find the perimeter of the figure. -

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

Rationalize the denominator. -

Use a calculator with a cube root key to find the root. Round to the nearest thousandth. -

Find the square root. Express the answer as a whole number or as a square root. Do not use a calculator. -

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

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Exam 9: Quadratic Equations