Question 1

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

Accepted Answer

A)  {0, 6} 
B)  {0} 
C)  { 6} 
D)  {0, 5} 
A)  {0, 6} 
B)  {0} 
C)  { 6} 
D)  {0, 5}

Question 2

Rationalize the denominator and simplify.
-

Accepted Answer

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

Question 3

Find the length of the unknown side of a right triangle with legs a and b and hypotenuse c. Round to the nearest thousandth, if necessary.
-a = 4, b = 5

Accepted Answer

A)  c = 6.403 
B)  c = 20 
C)  c = 4.243 
D)  c = 9 
A)  c = 6.403 
B)  c = 20 
C)  c = 4.243 
D)  c = 9

Question 4

Perform the indicated operations. Assume that all variables represent nonnegative real numbers.
-6   - 3   -

Accepted Answer

A)  14x   
B)  15x   
C)  3x   
D)  2x   
A)  14x   
B)  15x   
C)  3x   
D)  2x

Question 5

Simplify the expression by performing the indicated operations.
-5   +   ? 5

Accepted Answer

A)  15   + 25   
B)  25   + 15   
C)  15   + 25   
D)  30   + 50   
A)  15   + 25   
B)  25   + 15   
C)  15   + 25   
D)  30   + 50

Question 6

Find the perimeter of the figure.
-Find the perimeter of a triangle with sides measuring 5   , 2   , and 3   meters.

Accepted Answer

A)  31   + 6 m 
B)  37   m 
C)    31+ 6   m 
D)  31 + 6   m 
A)  31   + 6 m 
B)  37   m 
C)    31+ 6   m 
D)  31 + 6   m

Question 7

Perform the indicated operations. Assume that all variables represent nonnegative real numbers.
-7   - 5m2p

Accepted Answer

A)  12m2p   
B)  2 
C)  2m2p   
D)  Cannot simplify 
A)  12m2p   
B)  2 
C)  2m2p   
D)  Cannot simplify

Question 8

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

Accepted Answer

A)  a -   + b 
B)    -   +   
C)    - 2   +   
D)  a - 2   + 7 b 
A)  a -   + b 
B)    -   +   
C)    - 2   +   
D)  a - 2   + 7 b

Question 9

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

Accepted Answer

A)    
B)    
C)  9   
D)  3   
A)    
B)    
C)  9   
D)  3

Question 10

Simplify the expression.
-( 1 -   )( 6   + 2)

Accepted Answer

A)  6   + 2 - 6   - 2   
B)  6   - 2 -   6-   
C)  6   + 2 -   + 2   
D)  6   + 2 - 30   - 2   
A)  6   + 2 - 6   - 2   
B)  6   - 2 -   6-   
C)  6   + 2 -   + 2   
D)  6   + 2 - 30   - 2

Question 11

Perform the indicated operations and express the result in simplest form.
-

Accepted Answer

A)  153 
B)  5 
C)  25 
D)  3   
A)  153 
B)  5 
C)  25 
D)  3

Question 12

Simplify the radical.
-

Accepted Answer

A)  6     
B)  30   
C)  6     
D)  6     
A)  6     
B)  30   
C)  6     
D)  6

Question 13

Simplify the radical.
-

Accepted Answer

A)  5   
B)  20 
C)  8 
D)  4   
A)  5   
B)  20 
C)  8 
D)  4

Question 14

Perform the indicated operations. Assume that all variables represent nonnegative real numbers.
-  + 6   + 7

Accepted Answer

A)  32   
B)  13   
C)  14   
D)  33   
A)  32   
B)  13   
C)  14   
D)  33

Question 15

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

Accepted Answer

A) True 
 B)False

Question 16

Choose the one alternative that best completes the statement or answers the question.
-Is   simplified?

Accepted Answer

A) True 
 B)False

Question 17

Solve the problem. Give the answer to the nearest thousandth if necessary.
-A rectangle has a length of   and a width of   . What is the best estimate for its dimensions?

Accepted Answer

A)  11 by 8 
B)  11 by 7 
C)  10 by 7 
D)  10 by 8 
A)  11 by 8 
B)  11 by 7 
C)  10 by 7 
D)  10 by 8

Question 18

Solve the problem.
-A car dealer advertised a big sale by stretching a string of banners from the top of the building to the edge of the driveway. If the building is 15 m high and the driveway is 39 m from the building, how long is the string of banners?

Accepted Answer

A)  36.0 m 
B)  41.8 m 
C)  21.2 m 
D)  7.3 m 
A)  36.0 m 
B)  41.8 m 
C)  21.2 m 
D)  7.3 m

Question 19

Rationalize the denominator and simplify.
-

Accepted Answer

A)  11   
B)  11 
C)  1 
D)    
A)  11   
B)  11 
C)  1 
D)

Question 20

Simplify the radical.
-

Accepted Answer

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

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

Rationalize the denominator and simplify. -

Find the length of the unknown side of a right triangle with legs a and b and hypotenuse c. Round to the nearest thousandth, if necessary. -a = 4, b = 5

Perform the indicated operations. Assume that all variables represent nonnegative real numbers. -6 - 3 -

Simplify the expression by performing the indicated operations. -5 + ? 5

Find the perimeter of the figure. -Find the perimeter of a triangle with sides measuring 5 , 2 , and 3 meters.

Perform the indicated operations. Assume that all variables represent nonnegative real numbers. -7 - 5m²p

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

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

Simplify the expression. -( 1 - )( 6 + 2)

Perform the indicated operations and express the result in simplest form. -

Simplify the radical. -

Simplify the radical. -

Perform the indicated operations. Assume that all variables represent nonnegative real numbers. - + 6 + 7

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

Choose the one alternative that best completes the statement or answers the question. -Is simplified?

Solve the problem. Give the answer to the nearest thousandth if necessary. -A rectangle has a length of and a width of . What is the best estimate for its dimensions?

Solve the problem. -A car dealer advertised a big sale by stretching a string of banners from the top of the building to the edge of the driveway. If the building is 15 m high and the driveway is 39 m from the building, how long is the string of banners?

Rationalize the denominator and simplify. -

Simplify the radical. -

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. - - 1 = x

Rationalize the denominator and simplify. -

Find the length of the unknown side of a right triangle with legs a and b and hypotenuse c. Round to the nearest thousandth, if necessary. -a = 4, b = 5

Perform the indicated operations. Assume that all variables represent nonnegative real numbers. -6 - 3 -

Simplify the expression by performing the indicated operations. -5 + ? 5

Find the perimeter of the figure. -Find the perimeter of a triangle with sides measuring 5 , 2 , and 3 meters.

Perform the indicated operations. Assume that all variables represent nonnegative real numbers. -7 - 5m2p

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

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

Simplify the expression. -( 1 - )( 6 + 2)

Perform the indicated operations and express the result in simplest form. -

Simplify the radical. -

Simplify the radical. -

Perform the indicated operations. Assume that all variables represent nonnegative real numbers. - + 6 + 7

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

Choose the one alternative that best completes the statement or answers the question. -Is simplified?

Solve the problem. Give the answer to the nearest thousandth if necessary. -A rectangle has a length of and a width of . What is the best estimate for its dimensions?

Solve the problem. -A car dealer advertised a big sale by stretching a string of banners from the top of the building to the edge of the driveway. If the building is 15 m high and the driveway is 39 m from the building, how long is the string of banners?

Rationalize the denominator and simplify. -

Simplify the radical. -

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

Perform the indicated operations. Assume that all variables represent nonnegative real numbers. -7 - 5m²p