Question 1

Find the discriminant and use it to identify the solutions as rational, irrational, or non-real numbers.
-

Accepted Answer

A)  48, rational 
B)  -345 , irrational 
C)  48, irrational 
D)  345, rational 
E)  None of these 
A)  48, rational 
B)  -345 , irrational 
C)  48, irrational 
D)  345, rational 
E)  None of these

Question 2

The width of a rectangle is 5 m less then the length. The area is 204  
Find the length, l, and width, w, of the rectangle.

Accepted Answer

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

Question 3

The value of the leading coefficient, a, is  Write the equation of the quadratic function with vertex

Accepted Answer

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

Question 4

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 5

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

Accepted Answer

A)    
B)    
C)    
D)  no solution 
E)  None of these 
A)    
B)    
C)    
D)  no solution 
E)  None of these

Question 6

Write the equation of the axis of symmetry of the following function.

Accepted Answer

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

Question 7

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 8

Find the real zeros of the following function if they exist.

Accepted Answer

A)    
B)    
C)    
D)  no real zeros 
E)  None of these 
A)    
B)    
C)    
D)  no real zeros 
E)  None of these

Question 9

Find the discriminant and use it to describe the describe any real zeros.
-

Accepted Answer

A)  0, one rational zero 
B)  32, two rational zeros 
C)  0, two rational zeros 
D)  32, two irrational zeros 
E)  None of these 
A)  0, one rational zero 
B)  32, two rational zeros 
C)  0, two rational zeros 
D)  32, two irrational zeros 
E)  None of these

Question 10

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

Accepted Answer

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

Question 11

For the following functions use completing the square to rewrite the function in vertex form.
-

Accepted Answer

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

Question 12

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 13

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 14

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

Accepted Answer

A)    
B)    
C)    
D)  no solution 
E)  None of these 
A)    
B)    
C)    
D)  no solution 
E)  None of these

Question 15

Determine whether the vertex is a maximum or a minimum, and identify the maximum or minimum output value of the following function.

Accepted Answer

A)  maximum, -5 
B)  minimum, -4 
C)  minimum, -5 
D)  maximum, -4 
E)  None of these 
A)  maximum, -5 
B)  minimum, -4 
C)  minimum, -5 
D)  maximum, -4 
E)  None of these

Question 16

Find the discriminant and use it to describe the describe any real zeros.
-

Accepted Answer

A)  49, two rational zeros 
B)  49, two irrational zeros 
C)  -31 , no real zeros 
D)  -31 , two irrational zeros 
E)  None of these 
A)  49, two rational zeros 
B)  49, two irrational zeros 
C)  -31 , no real zeros 
D)  -31 , two irrational zeros 
E)  None of these

Question 17

Find the discriminant and use it to describe the describe any real zeros.
-

Accepted Answer

A)  144, two rational zeros 
B)  144, two irrational zeros 
C)  - 142 , two rational zeros 
D)  - 142 , no real zeros 
E)  None of these 
A)  144, two rational zeros 
B)  144, two irrational zeros 
C)  - 142 , two rational zeros 
D)  - 142 , no real zeros 
E)  None of these

Question 18

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 19

For the following functions use completing the square to rewrite the function in vertex form.
-

Accepted Answer

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

Question 20

For the following functions use completing the square to rewrite the function in vertex form.
-

Accepted Answer

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

Find the discriminant and use it to identify the solutions as rational, irrational, or non-real numbers. -

The width of a rectangle is 5 m less then the length. The area is 204 Find the length, l, and width, w, of the rectangle.

The value of the leading coefficient, a, is Write the equation of the quadratic function with vertex

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

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

Write the equation of the axis of symmetry of the following function.

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

Find the real zeros of the following function if they exist.

Find the discriminant and use it to describe the describe any real zeros. -

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

For the following functions use completing the square to rewrite the function in vertex form. -

Solve the following equations using the quadratic formula. -

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

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

Determine whether the vertex is a maximum or a minimum, and identify the maximum or minimum output value of the following function.

Find the discriminant and use it to describe the describe any real zeros. -

Find the discriminant and use it to describe the describe any real zeros. -

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

For the following functions use completing the square to rewrite the function in vertex form. -

For the following functions use completing the square to rewrite the function in vertex form. -

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

Find the discriminant and use it to identify the solutions as rational, irrational, or non-real numbers. -

The width of a rectangle is 5 m less then the length. The area is 204 Find the length, l, and width, w, of the rectangle.

The value of the leading coefficient, a, is Write the equation of the quadratic function with vertex

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

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

Write the equation of the axis of symmetry of the following function.

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

Find the real zeros of the following function if they exist.

Find the discriminant and use it to describe the describe any real zeros. -

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

For the following functions use completing the square to rewrite the function in vertex form. -

Solve the following equations using the quadratic formula. -

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

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

Determine whether the vertex is a maximum or a minimum, and identify the maximum or minimum output value of the following function.

Find the discriminant and use it to describe the describe any real zeros. -

Find the discriminant and use it to describe the describe any real zeros. -

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

For the following functions use completing the square to rewrite the function in vertex form. -

For the following functions use completing the square to rewrite the function in vertex form. -

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