August 2018 Parts 2,3,4

PART II:  Answer the question in this part.  Each correct answer will receive 
2 credits.  Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc.  Utilize the information provided to determine your answer.  Not that diagrams are not necessarily drawn to scale.  A correct numerical answer with no work shown will receive only
1 credit.  All answers should be written in pen, except for graphs and drawings, which should be done in pencil.

1

Explain how to determine the zeros of

1

State the zeros of the function

1

Four relations are shown.

State which relation(s) are functions.

1

Four relations are shown.

Explain why the other relation(s) are NOT functions.

2

The table represents the height of a bird above the ground during flight, with P(t) representing height in feet and t representing time in seconds.

Calculate the average rate of change from 3 to 9 seconds, in feet per second.

2

Is the solution to the quadratic equation shown rational or irrational?

Justify your answer.

2

The formula for converting degrees Fahrenheit (F) to degrees Kelvin (K) is:

Solve for F , in terms of K .

2

Solve the following equation by completing the square:

x2 + 4x = 2

2

The students in Mrs. Lankford's 4th and 6th period Algebra classes took the same test. The results of the scores are shown in the following table:

Based on these data, which class has the largest spread of test scores?

Explain how you arrived at your answer.

2

Write the first five terms of the recursive sequence defined below.

PART III:  Answer the question in this part.  Each correct answer will receive 
4 credits.  Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc.  Utilize the information provided to determine your answer.  Not that diagrams are not necessarily drawn to scale.  A correct numerical answer with no work shown will receive only
1 credit.  All answers should be written in pen, except for graphs and drawings, which should be done in pencil.

2

Sarah wants to buy a snowboard that has a total cost of $580, including tax. She has already saved $135 for it. At the end of the week, she is paid $96 for babysitting and is going to save three-quarters of that for the snowboard.

Write an inequality that can be used to determine the minimum number of weeks Sarah needs to babysit to have enough money to purchase the snowboard.

2

Sarah wants to buy a snowboard that has a total cost of $580, including tax. She has already saved $135 for it. At the end of the week, she is paid $96 for babysitting and is going to save three-quarters of that for the snowboard.

Determine and state the minimum number of full weeks Sarah needs to babysit to have enough money to purchase this snowboard.

2

A car was purchased for $25,000. Research shows that the car has an average yearly depreciation rate of 18.5%.

Create a function that will determine the value, V(t), of the car t years after purchase.

2

A car was purchased for $25,000. Research shows that the car has an average yearly depreciation rate of 18.5%.

Determine, to the nearest cent, how much the car will depreciate from year 3 to year 4.

4

Graph the following system of inequalities on the set of axes provided.

Based upon your graph, explain why (6, 1) is a solution to the system and why (-6, 7) is not a solution to this system.

2

Paul plans to have a rectangular garden adjacent to his garage. He will use 36 feet of fence to enclose three sides of the garden. The area of the garden, in square feet, can be modeled by f(w) = w(36 - 2w) where w is the width in feet.

On the set of axes provided, sketch the graph of f(w) .

2

Paul plans to have a rectangular garden adjacent to his garage. He will use 36 feet of fence to enclose three sides of the garden. The area of the garden, in square feet, can be modeled by f(w) = w(36 - 2w) where w is the width in feet.

Explain the meaning of the vertex in the context of the problem.

PART IV:  Answer the question in this part.  Each correct answer will receive 
6 credits.  Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc.  Utilize the information provided to determine your answer.  Not that diagrams are not necessarily drawn to scale.  A correct numerical answer with no work shown will receive only
1 credit.  All answers should be written in pen, except for graphs and drawings, which should be done in pencil.

1

At the present time, Mrs. Bee's age is six years more than four times her son's age. Three years ago, she was seven times as old as her son was then.

If b represents Mrs. Bee's age now and s represents her son's age now, write ONE of the equations from the system of equations that could be used to model this scenario.

1

At the present time, Mrs. Bee's age is six years more than four times her son's age. Three years ago, she was seven times as old as her son was then.

If b represents Mrs. Bee's age now and s represents her son's age now, write the OTHER of the equations from the system of equations that could be used to model this scenario.

1

At the present time, Mrs. Bee's age is six years more than four times her son's age. Three years ago, she was seven times as old as her son was then.

Use this system of equations to determine, algebraically, the age of Mrs. Bee.

1

At the present time, Mrs. Bee's age is six years more than four times her son's age. Three years ago, she was seven times as old as her son was then.

Use this system of equations to determine, algebraically, the age of Mrs. Bee's son.

2

At the present time, Mrs. Bee's age is six years more than four times her son's age. Three years ago, she was seven times as old as her son was then.

Determine how many years from now Mrs. Bee will be three times as old as her son will be then.

Explain how to determine the zeros of

State the zeros of the function

Four relations are shown.State which relation(s) are functions.

Four relations are shown.Explain why the other relation(s) are NOT functions.

The table represents the height of a bird above the ground during flight, with P(t) representing height in feet and t representing time in seconds.Calculate the average rate of change from 3 to 9 seconds, in feet per second.

Is the solution to the quadratic equation shown rational or irrational?Justify your answer.

The formula for converting degrees Fahrenheit (F) to degrees Kelvin (K) is:Solve for F , in terms of K .

Solve the following equation by completing the square:x2 + 4x = 2

The students in Mrs. Lankford's 4th and 6th period Algebra classes took the same test. The results of the scores are shown in the following table:Based on these data, which class has the largest spread of test scores?Explain how you arrived at your answer.

Write the first five terms of the recursive sequence defined below.

A car was purchased for $25,000. Research shows that the car has an average yearly depreciation rate of 18.5%.Create a function that will determine the value, V(t), of the car t years after purchase.

A car was purchased for $25,000. Research shows that the car has an average yearly depreciation rate of 18.5%.Determine, to the nearest cent, how much the car will depreciate from year 3 to year 4.

Graph the following system of inequalities on the set of axes provided.Based upon your graph, explain why (6, 1) is a solution to the system and why (-6, 7) is not a solution to this system.

Paul plans to have a rectangular garden adjacent to his garage. He will use 36 feet of fence to enclose three sides of the garden. The area of the garden, in square feet, can be modeled by f(w) = w(36 - 2w) where w is the width in feet.On the set of axes provided, sketch the graph of f(w) .

At the present time, Mrs. Bee's age is six years more than four times her son's age. Three years ago, she was seven times as old as her son was then.Use this system of equations to determine, algebraically, the age of Mrs. Bee.

At the present time, Mrs. Bee's age is six years more than four times her son's age. Three years ago, she was seven times as old as her son was then.Use this system of equations to determine, algebraically, the age of Mrs. Bee's son.

At the present time, Mrs. Bee's age is six years more than four times her son's age. Three years ago, she was seven times as old as her son was then.Determine how many years from now Mrs. Bee will be three times as old as her son will be then.

Four relations are shown.

State which relation(s) are functions.

Four relations are shown.

Explain why the other relation(s) are NOT functions.

The table represents the height of a bird above the ground during flight, with P(t) representing height in feet and t representing time in seconds.

Calculate the average rate of change from 3 to 9 seconds, in feet per second.

Is the solution to the quadratic equation shown rational or irrational?

Justify your answer.

The formula for converting degrees Fahrenheit (F) to degrees Kelvin (K) is:

Solve for F , in terms of K .

Solve the following equation by completing the square:

x2 + 4x = 2

The students in Mrs. Lankford's 4th and 6th period Algebra classes took the same test. The results of the scores are shown in the following table:

Based on these data, which class has the largest spread of test scores?

Explain how you arrived at your answer.

A car was purchased for $25,000. Research shows that the car has an average yearly depreciation rate of 18.5%.

Create a function that will determine the value, V(t), of the car t years after purchase.

A car was purchased for $25,000. Research shows that the car has an average yearly depreciation rate of 18.5%.

Determine, to the nearest cent, how much the car will depreciate from year 3 to year 4.

Graph the following system of inequalities on the set of axes provided.

Based upon your graph, explain why (6, 1) is a solution to the system and why (-6, 7) is not a solution to this system.

Paul plans to have a rectangular garden adjacent to his garage. He will use 36 feet of fence to enclose three sides of the garden. The area of the garden, in square feet, can be modeled by f(w) = w(36 - 2w) where w is the width in feet.

On the set of axes provided, sketch the graph of f(w) .

At the present time, Mrs. Bee's age is six years more than four times her son's age. Three years ago, she was seven times as old as her son was then.

Use this system of equations to determine, algebraically, the age of Mrs. Bee.

At the present time, Mrs. Bee's age is six years more than four times her son's age. Three years ago, she was seven times as old as her son was then.

Use this system of equations to determine, algebraically, the age of Mrs. Bee's son.

At the present time, Mrs. Bee's age is six years more than four times her son's age. Three years ago, she was seven times as old as her son was then.

Determine how many years from now Mrs. Bee will be three times as old as her son will be then.