Question 1

Use the Quadratic Formula to solve the equation   (Round your answer to three decimal places.)

Accepted Answer

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

Question 2

Use the Quadratic Formula to solve   .

Accepted Answer

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

Question 3

Solve the following quadratic equation by completing the square.

Accepted Answer

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D)    
E)    
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D)    
E)

Question 4

Write the standard form of the equation of the circle with the given characteristics. endpoints of a diameter:   ,

Accepted Answer

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B)    
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D)    
E)    
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D)    
E)

Question 5

Solve the equation

Accepted Answer

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E)    
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D)    
E)

Question 6

Solve the equation   by extracting square roots.

Accepted Answer

A)    
B)    
C)    
D)  no solution 
E)    
A)    
B)    
C)    
D)  no solution 
E)

Question 7

Determine which point lies on the graph of the equation   .

Accepted Answer

A)  (1, 6) 
B)  (2, 6) 
C)  (1, 4) 
D)  (3, 5) 
E)  (2, 4) 
A)  (1, 6) 
B)  (2, 6) 
C)  (1, 4) 
D)  (3, 5) 
E)  (2, 4)

Question 8

Solve the equation and write complex solutions in standard form.

Accepted Answer

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

Question 9

Determine whether the equation   is an identity or a conditional equation. If conditional, indicate the condition.

Accepted Answer

A)  conditional with   satisfying the equation 
B)  conditional with   satisfying the equation 
C)  conditional with   satisfying the equation 
D)  conditional with no solution 
E)  identity 
A)  conditional with   satisfying the equation 
B)  conditional with   satisfying the equation 
C)  conditional with   satisfying the equation 
D)  conditional with no solution 
E)  identity

Question 10

Find the center and radius of the circle   .

Accepted Answer

A)  center:   , radius 7 
B)  center:   , radius 49 
C)  center:   , radius 7 
D)  center:   , radius 49 
E)  center:   , radius 7 
A)  center:   , radius 7 
B)  center:   , radius 49 
C)  center:   , radius 7 
D)  center:   , radius 49 
E)  center:   , radius 7

Question 11

Determine whether the equation   is an identity or a conditional equation. If conditional, indicate the condition.

Accepted Answer

A)  conditional with   satisfying the equation 
B)  conditional with   satisfying the equation 
C)  identity 
D)  conditional with no solution 
E)  conditional with   satisfying the equation 
A)  conditional with   satisfying the equation 
B)  conditional with   satisfying the equation 
C)  identity 
D)  conditional with no solution 
E)  conditional with   satisfying the equation

Question 12

Solve the equation   .

Accepted Answer

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

Question 13

Find the x- and y-intercepts of the graph of the equation   .

Accepted Answer

A)  x-intercept: (7, 0) y-intercept: (0, -7) 
B)  x-intercept: (49, 0) y-intercept: (0, 7) 
C)  x-intercept: (-7, 0) y-intercept: (0, -49) 
D)  x-intercept: (49, 0) y-intercept: (0, 49) 
E)  x-intercept: (7, 0) y-intercept: (0, 49) 
A)  x-intercept: (7, 0) y-intercept: (0, -7) 
B)  x-intercept: (49, 0) y-intercept: (0, 7) 
C)  x-intercept: (-7, 0) y-intercept: (0, -49) 
D)  x-intercept: (49, 0) y-intercept: (0, 49) 
E)  x-intercept: (7, 0) y-intercept: (0, 49)

Question 14

Find all solutions to the following equation.

Accepted Answer

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

Question 15

Find all solutions to the equation   .

Accepted Answer

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

Question 16

Solve the equation   .

Accepted Answer

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

Question 17

Assume the graph has the indicated type of symmetry. Sketch the complete graph.   symmetric with respect to the origin

Accepted Answer

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

Question 18

Use algebraic tests to check the following for symmetry with respect to the axes and the origin.

Accepted Answer

A)  Symmetric with respect to the origin. 
B)  No symmetry. 
C)  Symmetric with respect to the y-axis. 
D)  Symmetric with respect to the x-axis. 
A)  Symmetric with respect to the origin. 
B)  No symmetry. 
C)  Symmetric with respect to the y-axis. 
D)  Symmetric with respect to the x-axis.

Question 19

Solve the equation and write complex solutions in standard form.

Accepted Answer

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

Question 20

Write the following quadratic equation in standard form.

Accepted Answer

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

Use the Quadratic Formula to solve the equation (Round your answer to three decimal places.)

Use the Quadratic Formula to solve .

Solve the following quadratic equation by completing the square.

Write the standard form of the equation of the circle with the given characteristics. endpoints of a diameter: ,

Solve the equation

Solve the equation by extracting square roots.

Determine which point lies on the graph of the equation .

Solve the equation and write complex solutions in standard form.

Determine whether the equation is an identity or a conditional equation. If conditional, indicate the condition.

Find the center and radius of the circle .

Determine whether the equation is an identity or a conditional equation. If conditional, indicate the condition.

Solve the equation .

Find the x- and y-intercepts of the graph of the equation .

Find all solutions to the following equation.

Find all solutions to the equation .

Solve the equation .

Assume the graph has the indicated type of symmetry. Sketch the complete graph. symmetric with respect to the origin

Use algebraic tests to check the following for symmetry with respect to the axes and the origin.

Solve the equation and write complex solutions in standard form.

Write the following quadratic equation in standard form.

Prerequisites

Functions and Their Graphs

Polynomial Functions

Rational Functions and Conics

Exponential and Logarithmic Functions

Analytic Trigonometry

Additional Topics in Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

Filters

Exam 2: Equations, Inequalities, and Mathematical Modeling

Use the Quadratic Formula to solve the equation (Round your answer to three decimal places.)

Use the Quadratic Formula to solve .

Solve the following quadratic equation by completing the square.

Write the standard form of the equation of the circle with the given characteristics. endpoints of a diameter: ,

Solve the equation

Solve the equation by extracting square roots.

Determine which point lies on the graph of the equation .

Solve the equation and write complex solutions in standard form.

Determine whether the equation is an identity or a conditional equation. If conditional, indicate the condition.

Find the center and radius of the circle .

Determine whether the equation is an identity or a conditional equation. If conditional, indicate the condition.

Solve the equation .

Find the x- and y-intercepts of the graph of the equation .

Find all solutions to the following equation.

Find all solutions to the equation .

Solve the equation .

Assume the graph has the indicated type of symmetry. Sketch the complete graph. symmetric with respect to the origin

Use algebraic tests to check the following for symmetry with respect to the axes and the origin.

Solve the equation and write complex solutions in standard form.

Write the following quadratic equation in standard form.

Prerequisites

Functions and Their Graphs

Polynomial Functions

Rational Functions and Conics

Exponential and Logarithmic Functions

Analytic Trigonometry

Additional Topics in Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

Filters