Question 1

Solve the following equations.
-

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of these 
A)    
B)    
C)    
D)    
E)  None of these

Question 2

A community center is building a haunted graveyard. The graveyard is rectangular, and they want it to be at least 1400 square ft in area. They have 180 ft of decorative fencing for the graveyard. If they use all of the fencing, what are the possible widths the graveyard could be?

Accepted Answer

A)  Strictly between 20 and 70 ft 
B)  Less than 20 ft or more than 70 ft 
C)  Between 20 ft and 70 ft inclusive 
D)  Less than or equal to 20 ft or greater than or equal to 70 ft 
E)  None of these 
A)  Strictly between 20 and 70 ft 
B)  Less than 20 ft or more than 70 ft 
C)  Between 20 ft and 70 ft inclusive 
D)  Less than or equal to 20 ft or greater than or equal to 70 ft 
E)  None of these

Question 3

Solve the following equations by completing the square.
-

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of these 
A)    
B)    
C)    
D)    
E)  None of these

Question 4

Identify the vertex of the graph of the following function.

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of these 
A)    
B)    
C)    
D)    
E)  None of these

Question 5

Solve the following quadratic inequalities and write your answer in interval notation.
-

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of these 
A)    
B)    
C)    
D)    
E)  None of these

Question 6

Solve the following equations by completing the square.
-

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of these 
A)    
B)    
C)    
D)    
E)  None of these

Question 7

Determine whether the following function has a maximum or a minimum value, and identify the maximum or minimum output value.

Accepted Answer

A)  maximum, 3 
B)  minimum, 8 
C)  maximum, 8 
D)  minimum, 3 
E)  None of these 
A)  maximum, 3 
B)  minimum, 8 
C)  maximum, 8 
D)  minimum, 3 
E)  None of these

Question 8

For the following questions assume that all variables in radicands are non-negative numbers.
-Simplify.

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of these 
A)    
B)    
C)    
D)    
E)  None of these

Question 9

The base b of a triangle is 3 cm longer than its height, h. The area is 152  
Find the base and height of the triangle.

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of these 
A)    
B)    
C)    
D)    
E)  None of these

Question 10

Use a number line graph to represent the solutions to the given quadratic inequalities.
-

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of these 
A)    
B)    
C)    
D)    
E)  None of these

Question 11

Use the values of a, b, and c to identify the vertex.
-

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of these 
A)    
B)    
C)    
D)    
E)  None of these

Question 12

Change the function   so that the graph that represents the function is shifted:
-4 units right and 14 units down

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of these 
A)    
B)    
C)    
D)    
E)  None of these

Question 13

Solve the following equations by completing the square.
-

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of these 
A)    
B)    
C)    
D)    
E)  None of these

Question 14

Solve the following equations.
-

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of these 
A)    
B)    
C)    
D)    
E)  None of these

Question 15

Solve the following equations by completing the square.
-

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of these 
A)    
B)    
C)    
D)    
E)  None of these

Question 16

Solve the following equations by completing the square.
-

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of these 
A)    
B)    
C)    
D)    
E)  None of these

Question 17

Solve the following equations using the quadratic formula.
-

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of these 
A)    
B)    
C)    
D)    
E)  None of these

Question 18

For the following two problems impedance in an AC circuit is the sum of the resistance, measured in real numbers, the inductive reactance , measured with positive imaginary numbers, and the capacitive reactance, measured with negative imaginary numbers.
-An AC circuit has two resistors, each of which causes 5 ohms of reactance in the circuit, and three inductors causing  Ohms of reactance in the circuit. Find the total impedance in this circuit.

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of these 
A)    
B)    
C)    
D)    
E)  None of these

Question 19

For the following expressions perform the indicated operations and simplify. Write the answers in   form.
-

Accepted Answer

A)    
B)    
C)  6 
D)  -6 
E)  None of these 
A)    
B)    
C)  6 
D)  -6 
E)  None of these

Question 20

Use interval notation to represent the domain of the following function.

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of these 
A)    
B)    
C)    
D)    
E)  None of these

Solve the following equations. -

A community center is building a haunted graveyard. The graveyard is rectangular, and they want it to be at least 1400 square ft in area. They have 180 ft of decorative fencing for the graveyard. If they use all of the fencing, what are the possible widths the graveyard could be?

Solve the following equations by completing the square. -

Identify the vertex of the graph of the following function.

Solve the following quadratic inequalities and write your answer in interval notation. -

Solve the following equations by completing the square. -

Determine whether the following function has a maximum or a minimum value, and identify the maximum or minimum output value.

For the following questions assume that all variables in radicands are non-negative numbers. -Simplify.

The base b of a triangle is 3 cm longer than its height, h. The area is 152 Find the base and height of the triangle.

Use a number line graph to represent the solutions to the given quadratic inequalities. -

Use the values of a, b, and c to identify the vertex. -

Change the function so that the graph that represents the function is shifted: -4 units right and 14 units down

Solve the following equations by completing the square. -

Solve the following equations. -

Solve the following equations by completing the square. -

Solve the following equations by completing the square. -

Solve the following equations using the quadratic formula. -

For the following expressions perform the indicated operations and simplify. Write the answers in form. -

Use interval notation to represent the domain of the following function.

Fundamentals of Algebra

Polynomials and Absolute Value

Relations and Functions

Systems of Linear Equations

Rational Expressions, Equations and Functions

Radical Expressions, Equations and Functions

Exponential and Logarithmic Expressions, Equations and Functions

Conic Sections Systems of Non-Linear Equations

Sequences, Series and the Binomial Theorem

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Exam 7: Quadratic Expressions, Equations and Functions

Solve the following equations. -

A community center is building a haunted graveyard. The graveyard is rectangular, and they want it to be at least 1400 square ft in area. They have 180 ft of decorative fencing for the graveyard. If they use all of the fencing, what are the possible widths the graveyard could be?

Solve the following equations by completing the square. -

Identify the vertex of the graph of the following function.

Solve the following quadratic inequalities and write your answer in interval notation. -

Solve the following equations by completing the square. -

Determine whether the following function has a maximum or a minimum value, and identify the maximum or minimum output value.

For the following questions assume that all variables in radicands are non-negative numbers. -Simplify.

The base b of a triangle is 3 cm longer than its height, h. The area is 152 Find the base and height of the triangle.

Use a number line graph to represent the solutions to the given quadratic inequalities. -

Use the values of a, b, and c to identify the vertex. -

Change the function so that the graph that represents the function is shifted: -4 units right and 14 units down

Solve the following equations by completing the square. -

Solve the following equations. -

Solve the following equations by completing the square. -

Solve the following equations by completing the square. -

Solve the following equations using the quadratic formula. -

For the following expressions perform the indicated operations and simplify. Write the answers in form. -

Use interval notation to represent the domain of the following function.

Fundamentals of Algebra

Polynomials and Absolute Value

Relations and Functions

Systems of Linear Equations

Rational Expressions, Equations and Functions

Radical Expressions, Equations and Functions

Exponential and Logarithmic Expressions, Equations and Functions

Conic Sections Systems of Non-Linear Equations

Sequences, Series and the Binomial Theorem

Filters