Question 1

Solve the equation.

Accepted Answer

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

Question 2

Find an equation that has the given solutions.   ,

Accepted Answer

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

Question 3

The graph of   is shown below. Use the graph to find the solution set for   .

Accepted Answer

A)    
B)    or   
C)    
D)    or   
E)  all real numbers except 2 
A)    
B)    or   
C)    
D)    or   
E)  all real numbers except 2

Question 4

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

Accepted Answer

A)  x -intercepts = 2, 4; vertex = (1, 9)   
B)  x -intercepts = 2, 4; vertex = (1, 9)   
C)  x -intercepts = 2, 4; vertex = ( 1, 9)   
D)  x -intercepts = 4, 2; vertex = ( 1, 9)   
A)  x -intercepts = 2, 4; vertex = (1, 9)   
B)  x -intercepts = 2, 4; vertex = (1, 9)   
C)  x -intercepts = 2, 4; vertex = ( 1, 9)   
D)  x -intercepts = 4, 2; vertex = ( 1, 9)

Question 5

Determine all solutions for   .   k = __________

Accepted Answer

The answer of Determine all solutions for   ....

Question 6

Solve the equation.

Accepted Answer

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

Question 7

In the figure below, triangle ABC has angles   and   and height k . Find the lengths of sides AB , BC , and AC , in terms of k .

Accepted Answer

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

Question 8

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 = (-4, -1); it is the lowest point. 
B)  vertex = (2, 1); it is the highest point. 
C)  vertex = (-1, 2); it is the highest point. 
D)  vertex = (2, -1); it is the lowest point. 
E)  vertex = (3, 1); it is the highest point. 
A)  vertex = (-4, -1); it is the lowest point. 
B)  vertex = (2, 1); it is the highest point. 
C)  vertex = (-1, 2); it is the highest point. 
D)  vertex = (2, -1); it is the lowest point. 
E)  vertex = (3, 1); it is the highest point.

Question 9

Find an equation that has the given solutions.   ,

Accepted Answer

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

Question 10

Solve.

Accepted Answer

The answer of Solve.  ...

Question 11

Solve the equation.

Accepted Answer

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

Question 12

The total cost (in dollars) for a company to manufacture and sell   items per week is   , whereas the revenue brought in by selling all   items is   . How many items must be sold to obtain a weekly profit of $500?

Accepted Answer

A)  40 or 80 items 
B)  10 or 110 items 
C)  50 items 
D)  70 items 
E)  70 or 80 items 
A)  40 or 80 items 
B)  10 or 110 items 
C)  50 items 
D)  70 items 
E)  70 or 80 items

Question 13

Solve.

Accepted Answer

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

Question 14

Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____

Accepted Answer

The answer of Fill in the blanks so that the...

Question 15

Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square.   _____   _____

Accepted Answer

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

Question 16

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

Accepted Answer

A)  D = - 9, two complex 
B)  D = 9, two rational 
C)  D = 0, one rational 
D)  D = 41, two irrational 
E)  D = - 41, two complex 
A)  D = - 9, two complex 
B)  D = 9, two rational 
C)  D = 0, one rational 
D)  D = 41, two irrational 
E)  D = - 41, two complex

Question 17

Solve the inequality and graph the solution set.

Accepted Answer

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

Question 18

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.)   x = __________

Accepted Answer

The answer of Solve the equation. Use factoring or the...

Question 19

The graph of   is shown below.   Use the graph to find the solution set for the following inequality.

Accepted Answer

The answer of The graph of   is shown...

Question 20

The relationship between the number of calculators   a company sells each day and the price p of each calculator is given by the equation   . Choose the correct graph of the revenue equation   , the maximum revenue figure and the price   that will obtain the maximum revenue figure.

Accepted Answer

A)    Maximum R = $5,760.00 when p = $8.00 
B)    Maximum R = $8,122.50 when p = $9.50 
C)    Maximum R = $6,502.50 when p = $8.50 
D)    Maximum R = $5,062.50 when p = $7.50 
A)    Maximum R = $5,760.00 when p = $8.00 
B)    Maximum R = $8,122.50 when p = $9.50 
C)    Maximum R = $6,502.50 when p = $8.50 
D)    Maximum R = $5,062.50 when p = $7.50

Solve the equation.

Find an equation that has the given solutions. ,

The graph of is shown below. Use the graph to find the solution set for .

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

Determine all solutions for . k = __________

Solve the equation.

In the figure below, triangle ABC has angles and and height k . Find the lengths of sides AB , BC , and AC , in terms of k .

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.

Find an equation that has the given solutions. ,

Solve.

Solve the equation.

The total cost (in dollars) for a company to manufacture and sell items per week is , whereas the revenue brought in by selling all items is . How many items must be sold to obtain a weekly profit of $500?

Solve.

Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square. _ _

Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square. _ _

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

Solve the inequality and graph the solution set.

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.) x = __________

The graph of is shown below. Use the graph to find the solution set for the following inequality.

The relationship between the number of calculators a company sells each day and the price p of each calculator is given by the equation . Choose the correct graph of the revenue equation , the maximum revenue figure and the price that will obtain the maximum revenue figure.

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.

Find an equation that has the given solutions. ,

The graph of is shown below. Use the graph to find the solution set for .

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

Determine all solutions for . k = __________

Solve the equation.

In the figure below, triangle ABC has angles and and height k . Find the lengths of sides AB , BC , and AC , in terms of k .

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.

Find an equation that has the given solutions. ,

Solve.

Solve the equation.

The total cost (in dollars) for a company to manufacture and sell items per week is , whereas the revenue brought in by selling all items is . How many items must be sold to obtain a weekly profit of $500?

Solve.

Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square. _____ _____

Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square. _____ _____

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

Solve the inequality and graph the solution set.

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.) x = __________

The graph of is shown below. Use the graph to find the solution set for the following inequality.

The relationship between the number of calculators a company sells each day and the price p of each calculator is given by the equation . Choose the correct graph of the revenue equation , the maximum revenue figure and the price that will obtain the maximum revenue figure.

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

Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square. _ _

Fill in the blanks so that the left side is a perfect square trinomial; that is, complete the square. _ _