Question 1

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

Accepted Answer

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

Question 2

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

Accepted Answer

A)  9   +   +   
B)  3 x +   + y 
C)  9   + 2   +   
D)  3 x + 2   + y 
A)  9   +   +   
B)  3 x +   + y 
C)  9   + 2   +   
D)  3 x + 2   + y

Question 3

Find the distance between the pair of points.
-  and

Accepted Answer

A)  32 
B)    
C)    
D)    
A)  32 
B)    
C)    
D)

Question 4

Perform the indicated operations. Assume that all variables represent nonnegative real numbers.
-3   - 2x

Accepted Answer

A)  3   - 2x   
B)  x   
C)  2x   
D)  Cannot simplify 
A)  3   - 2x   
B)  x   
C)  2x   
D)  Cannot simplify

Question 5

Simplify the expression.
-

Accepted Answer

A)  20 + 2   
B)  58 + 2   
C)  10 + 2   
D)  10 +   
A)  20 + 2   
B)  58 + 2   
C)  10 + 2   
D)  10 +

Question 6

Simplify and add or subtract wherever possible.
--4   - 3

Accepted Answer

A)  40   
B)  -40   
C)  -16   
D)  16   
A)  40   
B)  -40   
C)  -16   
D)  16

Question 7

Simplify the radical.
-

Accepted Answer

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

Question 8

Perform the indicated operation and express the answer in simplest form.
-(   + 6)(   - 3)

Accepted Answer

A)  -14 - 3   + 6   
B)  -8 - 3 ?   
C)  -26 + 14 ?   
D)  -14 
A)  -14 - 3   + 6   
B)  -8 - 3 ?   
C)  -26 + 14 ?   
D)  -14

Question 9

Solve the problem. Give the answer to the nearest thousandth if necessary.
-A painter leans a ladder against one wall of a house (as shown below). The ladder is 28 ft long. The base of the ladder is 25 ft from the house. How high is the wall?

Accepted Answer

A)  26.5 ft 
B)  79.5 ft 
C)  6.305 ft 
D)  12.61 ft 
A)  26.5 ft 
B)  79.5 ft 
C)  6.305 ft 
D)  12.61 ft

Question 10

Simplify and add or subtract wherever possible.
-  + 3   + 7

Accepted Answer

A)  53   
B)  10   
C)  10   
D)  53   
A)  53   
B)  10   
C)  10   
D)  53

Question 11

Perform the indicated operations. Assume that all variables represent nonnegative real numbers.
-8   - 4x

Accepted Answer

A)  4x   
B)  4x   
C)  8   - 4x   
D)  12   
A)  4x   
B)  4x   
C)  8   - 4x   
D)  12

Question 12

Find the distance between the pair of points.
-  and

Accepted Answer

A)  23 
B)    
C)    
D)  17 
A)  23 
B)    
C)    
D)  17

Question 13

Simplify.
-  .

Accepted Answer

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

Question 14

Simplify the expression.
-

Accepted Answer

A)  8   
B)  8   
C)  20   
D)  24 
A)  8   
B)  8   
C)  20   
D)  24

Question 15

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

Accepted Answer

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

Question 16

Determine whether the number is rational or irrational. Find a decimal approximation to the nearest thousandth.
-

Accepted Answer

A)  Irrational, 10.100 
B)  Irrational, 51.000 
C)  Rational, 10.100 
D)  Rational, 51.000 
A)  Irrational, 10.100 
B)  Irrational, 51.000 
C)  Rational, 10.100 
D)  Rational, 51.000

Question 17

Solve the problem.
-On a sunny day, a tree and its shadow form the sides of a right triangle. If the hypotenuse is 50 m long and the tree is 40 m tall, how long is the shadow?

Accepted Answer

A)  64 m 
B)  90 m 
C)  100 m 
D)  30 m 
A)  64 m 
B)  90 m 
C)  100 m 
D)  30 m

Question 18

Find the root.
--

Accepted Answer

A)  16 
B)  -4 
C)  6.233 
D)  Not a real number 
A)  16 
B)  -4 
C)  6.233 
D)  Not a real number

Question 19

Solve the problem. Give the answer to the nearest thousandth if necessary.
-The diagram below shows a rope connecting the top of a pole to the ground. The rope is 28 yd long and touches the ground 24 yd from the pole. How tall is the pole?

Accepted Answer

A)  7.211 yd 
B)  104 yd 
C)  26 yd 
D)  14.422 yd 
A)  7.211 yd 
B)  104 yd 
C)  26 yd 
D)  14.422 yd

Question 20

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

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

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

Find the distance between the pair of points. - and

Perform the indicated operations. Assume that all variables represent nonnegative real numbers. -3 - 2x

Simplify the expression. -

Simplify and add or subtract wherever possible. --4 - 3

Simplify the radical. -

Perform the indicated operation and express the answer in simplest form. -( + 6)( - 3)

Solve the problem. Give the answer to the nearest thousandth if necessary. -A painter leans a ladder against one wall of a house (as shown below). The ladder is 28 ft long. The base of the ladder is 25 ft from the house. How high is the wall?

Simplify and add or subtract wherever possible. - + 3 + 7

Perform the indicated operations. Assume that all variables represent nonnegative real numbers. -8 - 4x

Find the distance between the pair of points. - and

Simplify. - .

Simplify the expression. -

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

Determine whether the number is rational or irrational. Find a decimal approximation to the nearest thousandth. -

Solve the problem. -On a sunny day, a tree and its shadow form the sides of a right triangle. If the hypotenuse is 50 m long and the tree is 40 m tall, how long is the shadow?

Find the root. --

Solve the problem. Give the answer to the nearest thousandth if necessary. -The diagram below shows a rope connecting the top of a pole to the ground. The rope is 28 yd long and touches the ground 24 yd from the pole. How tall is the pole?

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 .

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

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

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

Find the distance between the pair of points. - and

Perform the indicated operations. Assume that all variables represent nonnegative real numbers. -3 - 2x

Simplify the expression. -

Simplify and add or subtract wherever possible. --4 - 3

Simplify the radical. -

Perform the indicated operation and express the answer in simplest form. -( + 6)( - 3)

Solve the problem. Give the answer to the nearest thousandth if necessary. -A painter leans a ladder against one wall of a house (as shown below). The ladder is 28 ft long. The base of the ladder is 25 ft from the house. How high is the wall?

Simplify and add or subtract wherever possible. - + 3 + 7

Perform the indicated operations. Assume that all variables represent nonnegative real numbers. -8 - 4x

Find the distance between the pair of points. - and

Simplify. - .

Simplify the expression. -

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

Determine whether the number is rational or irrational. Find a decimal approximation to the nearest thousandth. -

Solve the problem. -On a sunny day, a tree and its shadow form the sides of a right triangle. If the hypotenuse is 50 m long and the tree is 40 m tall, how long is the shadow?

Find the root. --

Solve the problem. Give the answer to the nearest thousandth if necessary. -The diagram below shows a rope connecting the top of a pole to the ground. The rope is 28 yd long and touches the ground 24 yd from the pole. How tall is the pole?

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 .

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