Question 1

Solve the equation.

Accepted Answer

The answer of Solve the equation.  ...

Question 2

Solve the following quadratic equation by completing the square.   a = __________

Accepted Answer

The answer of Solve the following quadratic equation by completing...

Question 3

A company finds that it can make a profit of   dollars each month by selling   patterns, according to the formula   How many patterns must the company sell each month to have a maximum profit? What is the maximum profit?

Accepted Answer

A)  Patterns = 1,125; Maximum Profit = $531.25 
B)  Patterns = 1,125; Maximum Profit = $1,062.50 
C)  Patterns = 1,075; Maximum Profit = $381.25 
D)  Patterns = 1,075; Maximum Profits = $912.50 
E)  Patterns = 1,025; Maximum Profit = $511.25 
A)  Patterns = 1,125; Maximum Profit = $531.25 
B)  Patterns = 1,125; Maximum Profit = $1,062.50 
C)  Patterns = 1,075; Maximum Profit = $381.25 
D)  Patterns = 1,075; Maximum Profits = $912.50 
E)  Patterns = 1,025; Maximum Profit = $511.25

Question 4

Writing in 1829, former President James Madison made some predictions about the growth of the population of the United States. The populations he predicted fit the equation   where y is the population in millions of people x years from 1829. Use the equation to determine the approximate year President Madison would have predicted that the U.S. population would reach 140,000,000. Round the answer to the nearest year.

Accepted Answer

The answer of Writing in 1829, former President James Madison...

Question 5

An object is thrown downward with an initial velocity of 3 feet per second. The relationship between the distance s it travels and time t is given by   . How long does it take the object to fall 70 feet?

Accepted Answer

A)  5 seconds 
B)  3 seconds 
C)  1 second 
D)  2 seconds 
E)  4 seconds 
A)  5 seconds 
B)  3 seconds 
C)  1 second 
D)  2 seconds 
E)  4 seconds

Question 6

Find the value of   when

Accepted Answer

A)  1 
B)  196 
C)  - 196 
D)  - 164 
E)  164 
A)  1 
B)  196 
C)  - 196 
D)  - 164 
E)  164

Question 7

Determine   so that the following equation has exactly one real solution.

Accepted Answer

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

Question 8

Solve the following quadratic equation by completing the square.

Accepted Answer

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

Question 9

Find an equation that has the given solutions.   ,

Accepted Answer

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

Question 10

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

Accepted Answer

A)  D = 73, two irrational 
B)  D = - 4, two complex 
C)  D = 4, two rational 
D)  D = - 73, two complex 
E)  D = 0, one rational 
A)  D = 73, two irrational 
B)  D = - 4, two complex 
C)  D = 4, two rational 
D)  D = - 73, two complex 
E)  D = 0, one rational

Question 11

Solve the equation.   t = __________

Accepted Answer

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

Question 12

Solve the inequality and graph the solution set.

Accepted Answer

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

Question 13

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.

Accepted Answer

A)  vertex = (25, -17); it is the highest point. 
B)  vertex = (4, -21); it is the lowest point. 
C)  vertex = (-4, -21); it is the lowest point. 
D)  vertex = (17, 42); it is the highest point. 
E)  vertex = (-8, 17); it is the lowest point. 
A)  vertex = (25, -17); it is the highest point. 
B)  vertex = (4, -21); it is the lowest point. 
C)  vertex = (-4, -21); it is the lowest point. 
D)  vertex = (17, 42); it is the highest point. 
E)  vertex = (-8, 17); it is the lowest point.

Question 14

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

Accepted Answer

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

Question 15

Solve the following equation. Remember, if you square both sides of an equation in the process of solving it, you have to check all solutions in the original equation.

Accepted Answer

The answer of Solve the following equation. Remember, if you...

Question 16

Use the discriminant to find the number and kind of solutions for the following equation.   Discriminant   __________ How many solutions does the equation have? __________ What kind of solutions are they? __________

Accepted Answer

The answer of Use the discriminant to find the number...

Question 17

Solve the following quadratic equation by completing the square.

Accepted Answer

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

Question 18

Simplify.

Accepted Answer

The answer of Simplify.  ...

Question 19

The shape of the famous Gateway to the West arch in Saint Louis can be modeled by a parabola.   The equation for this parabola is:   where x and y are in feet. Approximately how far do you have to walk to get from one side of the arch to the other?

Accepted Answer

A)  610 feet 
B)  600 feet 
C)  620 feet 
D)  630 feet 
E)  640 feet 
A)  610 feet 
B)  600 feet 
C)  620 feet 
D)  630 feet 
E)  640 feet

Question 20

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

Accepted Answer

A)  x -intercepts = 5, 5; vertex = (0, 25)   
B)  x -intercepts = 5; vertex = (0, 0)   
C)  x -intercepts = 0; vertex = (0, 0)   
D)  x -intercepts = 5, 5; vertex = (0, 25)   
A)  x -intercepts = 5, 5; vertex = (0, 25)   
B)  x -intercepts = 5; vertex = (0, 0)   
C)  x -intercepts = 0; vertex = (0, 0)   
D)  x -intercepts = 5, 5; vertex = (0, 25)

Solve the equation.

Solve the following quadratic equation by completing the square. a = __________

A company finds that it can make a profit of dollars each month by selling patterns, according to the formula How many patterns must the company sell each month to have a maximum profit? What is the maximum profit?

An object is thrown downward with an initial velocity of 3 feet per second. The relationship between the distance s it travels and time t is given by . How long does it take the object to fall 70 feet?

Find the value of when

Determine so that the following equation has exactly one real solution.

Solve the following quadratic equation by completing the square.

Find an equation that has the given solutions. ,

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

Solve the equation. t = __________

Solve the inequality and graph the solution set.

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.

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

Solve the following equation. Remember, if you square both sides of an equation in the process of solving it, you have to check all solutions in the original equation.

Use the discriminant to find the number and kind of solutions for the following equation. Discriminant How many solutions does the equation have? What kind of solutions are they? __

Solve the following quadratic equation by completing the square.

Simplify.

The shape of the famous Gateway to the West arch in Saint Louis can be modeled by a parabola. The equation for this parabola is: where x and y are in feet. Approximately how far do you have to walk to get from one side of the arch to the other?

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

Solve the equation.

Solve the following quadratic equation by completing the square. a = __________

A company finds that it can make a profit of dollars each month by selling patterns, according to the formula How many patterns must the company sell each month to have a maximum profit? What is the maximum profit?

An object is thrown downward with an initial velocity of 3 feet per second. The relationship between the distance s it travels and time t is given by . How long does it take the object to fall 70 feet?

Find the value of when

Determine so that the following equation has exactly one real solution.

Solve the following quadratic equation by completing the square.

Find an equation that has the given solutions. ,

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

Solve the equation. t = __________

Solve the inequality and graph the solution set.

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.

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

Solve the following equation. Remember, if you square both sides of an equation in the process of solving it, you have to check all solutions in the original equation.

Use the discriminant to find the number and kind of solutions for the following equation. Discriminant __________ How many solutions does the equation have? __________ What kind of solutions are they? __________

Solve the following quadratic equation by completing the square.

Simplify.

The shape of the famous Gateway to the West arch in Saint Louis can be modeled by a parabola. The equation for this parabola is: where x and y are in feet. Approximately how far do you have to walk to get from one side of the arch to the other?

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

Use the discriminant to find the number and kind of solutions for the following equation. Discriminant How many solutions does the equation have? What kind of solutions are they? __