Question 1

For the following equation, find the x -intercepts and the coordinates of the vertex, and choose the corresponding graph.

Accepted Answer

A)  x -intercepts = 0; vertex = (0, 0)   
B)  x -intercepts = 2, 2; vertex = (0, 4)   
C)  x -intercepts = 2, 2; vertex = (0, 4)   
D)  x -intercepts = 0; vertex = (0, 0)   
A)  x -intercepts = 0; vertex = (0, 0)   
B)  x -intercepts = 2, 2; vertex = (0, 4)   
C)  x -intercepts = 2, 2; vertex = (0, 4)   
D)  x -intercepts = 0; vertex = (0, 0)

Question 2

Find an equation that has the given solutions.   ,   ,

Accepted Answer

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

Question 3

For the following equation, find the x -intercepts and the coordinates of the vertex, and choose the corresponding graph.

Accepted Answer

A)  x -intercepts = 1, 3; vertex = (1, 4)   
B)  x -intercepts = 3, 1; vertex = ( 1, 4)   
C)  x -intercepts = 1, 3; vertex = (1, 4)   
D)  x -intercepts = 1, 3; vertex = ( 1, 4)   
A)  x -intercepts = 1, 3; vertex = (1, 4)   
B)  x -intercepts = 3, 1; vertex = ( 1, 4)   
C)  x -intercepts = 1, 3; vertex = (1, 4)   
D)  x -intercepts = 1, 3; vertex = ( 1, 4)

Question 4

Solve the equation.

Accepted Answer

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

Question 5

For the equation, find the coordinates of the vertex, and indicate whether the vertex is the highest point on the graph or the lowest point on the graph. (Do not graph.)     highest or lowest: __________

Accepted Answer

The answer of For the equation, find the coordinates of...

Question 6

Use the discriminant to find the number and kind of solutions for the following equation.

Accepted Answer

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B)    
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B)    
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D)    
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Question 7

Find the vertex and any two convenient points to choose the graph of the following equation.

Accepted Answer

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

Question 8

Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)

Accepted Answer

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

Question 9

Solve   for   by using the quadratic formula with   ,   , and   .

Accepted Answer

The answer of Solve   for   by...

Question 10

A manufacturer of portable radios knows that the weekly revenue produced by selling   radios is given by the equation   , where   is the price of each radio. What price should she charge for each radio if she wants her weekly revenue to be at least $1,600?

Accepted Answer

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

Question 11

Find an equation that has the given solutions.   ,

Accepted Answer

The answer of Find an equation that has the given...

Question 12

Solve the equation.   x = __________

Accepted Answer

The answer of Solve the equation.   x =...

Question 13

Solve the inequality and graph the solution set.

Accepted Answer

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

Question 14

Look for the greatest common factor, then use the quadratic formula to find all solutions.

Accepted Answer

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

Question 15

Find an equation that has the given solutions.   ,

Accepted Answer

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

Question 16

A manufacturer of portable radios knows that the weekly revenue produced by selling x radios is given by the equation   , where p is the price of each radio. What price should she charge for each radio if she wants her weekly revenue to be at least $4,000? $ _____   $ _____

Accepted Answer

The answer of A manufacturer of portable radios knows that...

Question 17

Solve the equation.   y = __________

Accepted Answer

The answer of Solve the equation.   y =...

Question 18

Use the discriminant to find the number and kind of solutions for the following equation.

Accepted Answer

A)  D = 30, two irrational 
B)  D = - 16, two complex 
C)  D = 24, two rational 
D)  D = 25, two rational 
E)  D = 0, one rational 
A)  D = 30, two irrational 
B)  D = - 16, two complex 
C)  D = 24, two rational 
D)  D = 25, two rational 
E)  D = 0, one rational

Question 19

Solve the following quadratic equation by completing the square.

Accepted Answer

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

Question 20

For the following equation, find the x -intercepts and the coordinates of the vertex, and choose the corresponding graph.

Accepted Answer

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

For the following equation, find the x -intercepts and the coordinates of the vertex, and choose the corresponding graph.

Find an equation that has the given solutions. , ,

For the following equation, find the x -intercepts and the coordinates of the vertex, and choose the corresponding graph.

Solve the equation.

For the equation, find the coordinates of the vertex, and indicate whether the vertex is the highest point on the graph or the lowest point on the graph. (Do not graph.) highest or lowest: __________

Use the discriminant to find the number and kind of solutions for the following equation.

Find the vertex and any two convenient points to choose the graph of the following equation.

Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)

Solve for by using the quadratic formula with , , and .

A manufacturer of portable radios knows that the weekly revenue produced by selling radios is given by the equation , where is the price of each radio. What price should she charge for each radio if she wants her weekly revenue to be at least $1,600?

Find an equation that has the given solutions. ,

Solve the equation. x = __________

Solve the inequality and graph the solution set.

Look for the greatest common factor, then use the quadratic formula to find all solutions.

Find an equation that has the given solutions. ,

A manufacturer of portable radios knows that the weekly revenue produced by selling x radios is given by the equation , where p is the price of each radio. What price should she charge for each radio if she wants her weekly revenue to be at least $4,000? $ _ $ _

Solve the equation. y = __________

Use the discriminant to find the number and kind of solutions for the following equation.

Solve the following quadratic equation by completing the square.

For the following equation, find the x -intercepts and the coordinates of the vertex, and choose the corresponding graph.

Notation and Symbols

Simplifying Expressions

Paired Data and Graphing Ordered Pairs

Multiplication With Exponents

The Greatest Common Factor and Factoring by Grouping

Reducing Rational Expressions to Lowest Terms

Review of Solving Equations

The Slope of a Line

Rational Exponents

Exponential Functions

The Circle

Sequences

Filters

Exam 10: Completing the Square

For the following equation, find the x -intercepts and the coordinates of the vertex, and choose the corresponding graph.

Find an equation that has the given solutions. , ,

For the following equation, find the x -intercepts and the coordinates of the vertex, and choose the corresponding graph.

Solve the equation.

For the equation, find the coordinates of the vertex, and indicate whether the vertex is the highest point on the graph or the lowest point on the graph. (Do not graph.) highest or lowest: __________

Use the discriminant to find the number and kind of solutions for the following equation.

Find the vertex and any two convenient points to choose the graph of the following equation.

Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. (Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula.)

Solve for by using the quadratic formula with , , and .

A manufacturer of portable radios knows that the weekly revenue produced by selling radios is given by the equation , where is the price of each radio. What price should she charge for each radio if she wants her weekly revenue to be at least $1,600?

Find an equation that has the given solutions. ,

Solve the equation. x = __________

Solve the inequality and graph the solution set.

Look for the greatest common factor, then use the quadratic formula to find all solutions.

Find an equation that has the given solutions. ,

A manufacturer of portable radios knows that the weekly revenue produced by selling x radios is given by the equation , where p is the price of each radio. What price should she charge for each radio if she wants her weekly revenue to be at least $4,000? $ _____ $ _____

Solve the equation. y = __________

Use the discriminant to find the number and kind of solutions for the following equation.

Solve the following quadratic equation by completing the square.

For the following equation, find the x -intercepts and the coordinates of the vertex, and choose the corresponding graph.

Notation and Symbols

Simplifying Expressions

Paired Data and Graphing Ordered Pairs

Multiplication With Exponents

The Greatest Common Factor and Factoring by Grouping

Reducing Rational Expressions to Lowest Terms

Review of Solving Equations

The Slope of a Line

Rational Exponents

Exponential Functions

The Circle

Sequences

Filters

A manufacturer of portable radios knows that the weekly revenue produced by selling x radios is given by the equation , where p is the price of each radio. What price should she charge for each radio if she wants her weekly revenue to be at least $4,000? $ _ $ _