HSST Honors Mini Mock 3

Last updated over 1 year ago

18 questions

1

A-REI.D.12

1

F-IF.A.3

1

F-IF.B.5

1

G-C.A.2

1

G-CO.C.11.a

1

G-CO.C.9

1

G-GPE.A.1

1

G-GPE.B.5

1

N-RN.A.1

1

N-RN.A.1

Which of the following graphs represents the solution set of this system of inequalities?

{y\geqq\frac{1}{2}{x}+3}
{y\geqq-x+5}

In a geometric sequence, the second term is 15 and the fourth term is 135. What is the first term in the sequence?

A. 3

B. 5

C. 7

D. 9

This question has four parts.

The price of a ticket at a theater is {x} dollars. The manager of the theater uses the function {t(x)=100x-4x^2} to predict {t(x)}, the total ticket sales in dollars.

1

Part A

What are the predicted total sales, in dollars, when the price of a ticket is 10 dollars? Show or explain how you got your answer.

Enter your answer and your work or explanation in the space provided.

F-IF.B.4

1

Part B

What is the increase or decrease in the predicted total sales, in dollars, when the price of a ticket is increased from 10 dollars to 12 dollars? Show or explain how you got your answer.

Enter your answer and your work or explanation in the space provided.

F-IF.B.4

1

Part C

What is the ticket price, in dollars, that results in the maximum value for the predicted total sales? Show or explain how you got your answer.

Enter your answer and your work or explanation in the space provided.

F-IF.B.4

1

Part D

What is the maximum value, in dollars, for the predicted total sales? Show or explain how you got your answer.

Enter your answer and your work or explanation in the space provided.

F-IF.B.4

This question has two parts.

A student has an after-school job. This function models the amount of money, in dollars, the student earns for working {h} hours in a week.

{M(h)=12.5h}

The student can work a maximum of 20 hours in a week.

1

F-IF.B.5

1

Part B

What is the range of the function?

Fill in the blanks to correctly show the range of the function.

_______ {\leq M(h) \leq}_______

F-IF.B.5

Some students are raising money by selling T-shirts.

{\bullet} They ordered 100 T-shirts to sell.
{\bullet} They will sell the T-shirts for $20 each.

This equation models {P}, the amount of money the students will earn, as a function of {n}, the number of T-shirts they sell.

{P(n)=20n-500}

What is the domain of this function, where {n} is a whole number?

A. {0\leq n \leq 20}

B. {0\leq n \leq 100}

C. {20\leq n \leq 100}

D. {20\leq n \leq 500}

This diagram shows a circle with an inscribed right triangle and some of its measurements, in units.

Based on the diagram, what is the circumference, in units, of the circle?

A. {5\pi}

B. {10\pi}

C. {14\pi}

D. {25\pi}

1

G-C.B.5

1

Part B

What is the length, to the nearest tenth of an inch, of minor arc {XZ}?

Enter your answer in the box.

_______ inches

G-C.B.5

Each exterior angle of a regular polygon has a measure of {30\degree}. What is the total number of sides of the polygon?

A. 6

B. 9

C. 12

D. 15

Parallel lines {g} and {h} are intersected by line {j}. Lines {g},{h},{j}, and expressions representing angle measurements are shown in this diagram.

Based on the diagram, which of the following equations is not always true?

A. {(x+10)+(3x+66)=180}

B. {(4x+40)+(x+10)=180}

C. {(3x+66)=(4x+40)}

D. {(x+10)=(4x+40)}

A circle graphed on a coordinate plane has its center at {(2,-4)} and a radius of 4 units. Create an equation of the circle.

Fill into each box to correctly create the equation.

{(x-}_______  {)^2}+{(y-}_______ {)^2}={(}_______ {)^2}

Line {w} is represented by this equation.

{y=5x+3}

Which of the following equation represents a line that is perpendicular to line {w}?

A. {y=-\frac{1}{5}x+1}

B. {y=-5x+1}

C. {y=\frac{1}{5}x+1}

D. {y=5x+1}

Consider this expression.

{(\sqrt{n^3})^4}

Which of the following is equivalent to the expression for all positive values of {n}?

A. {n^3}

B. {n^6}

C. {n^7}

D. {n^{12}}

Consider this expression.

Create an equivalent exponential expression in the form.

Which of the following graphs represents the solution set of this system of inequalities?

{y\geqq\frac{1}{2}{x}+3}
{y\geqq-x+5}

In a geometric sequence, the second term is 15 and the fourth term is 135. What is the first term in the sequence?

A. 3

B. 5

C. 7

D. 9

This question has four parts.

The price of a ticket at a theater is {x} dollars. The manager of the theater uses the function {t(x)=100x-4x^2} to predict {t(x)}, the total ticket sales in dollars.

Part A

What are the predicted total sales, in dollars, when the price of a ticket is 10 dollars? Show or explain how you got your answer.

Enter your answer and your work or explanation in the space provided.

Part B

What is the increase or decrease in the predicted total sales, in dollars, when the price of a ticket is increased from 10 dollars to 12 dollars? Show or explain how you got your answer.

Enter your answer and your work or explanation in the space provided.

Part C

What is the ticket price, in dollars, that results in the maximum value for the predicted total sales? Show or explain how you got your answer.

Enter your answer and your work or explanation in the space provided.

Part D

What is the maximum value, in dollars, for the predicted total sales? Show or explain how you got your answer.

Enter your answer and your work or explanation in the space provided.

Part A

Which of the following is the domain of the function?

A. {0\leq h\leq 12.5}

B. {0\leq h\leq 20}

C. {12.5\leq h \leq 20}

D. {12.5\leq h \leq 32.5}

Part B

What is the range of the function?

Fill in the blanks to correctly show the range of the function.

_______ {\leq M(h) \leq}_______

Some students are raising money by selling T-shirts.

{\bullet} They ordered 100 T-shirts to sell.
{\bullet} They will sell the T-shirts for $20 each.

This equation models {P}, the amount of money the students will earn, as a function of {n}, the number of T-shirts they sell.

{P(n)=20n-500}

What is the domain of this function, where {n} is a whole number?

A. {0\leq n \leq 20}

B. {0\leq n \leq 100}

C. {20\leq n \leq 100}

D. {20\leq n \leq 500}

This diagram shows a circle with an inscribed right triangle and some of its measurements, in units.

Based on the diagram, what is the circumference, in units, of the circle?

A. {5\pi}

B. {10\pi}

C. {14\pi}

D. {25\pi}

Part A

Which of the following is closest to the area, in square inches, of the shaded sector of circle Y?

A. 25.7 square inches

B. 51.3 square inches

C. 128.3 square inches

D. 153.9 square inches

Each exterior angle of a regular polygon has a measure of {30\degree}. What is the total number of sides of the polygon?

A. 6

B. 9

C. 12

D. 15

Parallel lines {g} and {h} are intersected by line {j}. Lines {g},{h},{j}, and expressions representing angle measurements are shown in this diagram.

Based on the diagram, which of the following equations is not always true?

A. {(x+10)+(3x+66)=180}

B. {(4x+40)+(x+10)=180}

C. {(3x+66)=(4x+40)}

D. {(x+10)=(4x+40)}

Line {w} is represented by this equation.

{y=5x+3}

Which of the following equation represents a line that is perpendicular to line {w}?

A. {y=-\frac{1}{5}x+1}

B. {y=-5x+1}

C. {y=\frac{1}{5}x+1}

D. {y=5x+1}

Consider this expression.

{(\sqrt{n^3})^4}

Which of the following is equivalent to the expression for all positive values of {n}?

A. {n^3}

B. {n^6}

C. {n^7}

D. {n^{12}}

Part A

Which of the following is the domain of the function?

A. {0\leq h\leq 12.5}

B. {0\leq h\leq 20}

C. {12.5\leq h \leq 20}

D. {12.5\leq h \leq 32.5}

Part A

Which of the following is closest to the area, in square inches, of the shaded sector of circle Y?

A. 25.7 square inches

B. 51.3 square inches

C. 128.3 square inches

D. 153.9 square inches

HSST Honors Mini Mock 3

HSST Honors Mini Mock 3

Consider this expression.Create an equivalent exponential expression in the form.

Which of the following graphs represents the solution set of this system of inequalities?{y\geqq\frac{1}{2}{x}+3}{y\geqq-x+5}

In a geometric sequence, the second term is 15 and the fourth term is 135. What is the first term in the sequence?

Part AWhat are the predicted total sales, in dollars, when the price of a ticket is 10 dollars? Show or explain how you got your answer.Enter your answer and your work or explanation in the space provided.

Part BWhat is the increase or decrease in the predicted total sales, in dollars, when the price of a ticket is increased from 10 dollars to 12 dollars? Show or explain how you got your answer.Enter your answer and your work or explanation in the space provided.

Part CWhat is the ticket price, in dollars, that results in the maximum value for the predicted total sales? Show or explain how you got your answer.Enter your answer and your work or explanation in the space provided.

Part DWhat is the maximum value, in dollars, for the predicted total sales? Show or explain how you got your answer.Enter your answer and your work or explanation in the space provided.

This diagram shows a circle with an inscribed right triangle and some of its measurements, in units.Based on the diagram, what is the circumference, in units, of the circle?

Each exterior angle of a regular polygon has a measure of {30\degree}. What is the total number of sides of the polygon?

Parallel lines {g} and {h} are intersected by line {j}. Lines {g},{h},{j}, and expressions representing angle measurements are shown in this diagram.Based on the diagram, which of the following equations is not always true?

Line {w} is represented by this equation.{y=5x+3}Which of the following equation represents a line that is perpendicular to line {w}?

Consider this expression.{(\sqrt{n^3})^4}Which of the following is equivalent to the expression for all positive values of {n}?

Consider this expression.Create an equivalent exponential expression in the form.

Part AWhat are the predicted total sales, in dollars, when the price of a ticket is 10 dollars? Show or explain how you got your answer.Enter your answer and your work or explanation in the space provided.

Part BWhat is the increase or decrease in the predicted total sales, in dollars, when the price of a ticket is increased from 10 dollars to 12 dollars? Show or explain how you got your answer.Enter your answer and your work or explanation in the space provided.

Part CWhat is the ticket price, in dollars, that results in the maximum value for the predicted total sales? Show or explain how you got your answer.Enter your answer and your work or explanation in the space provided.

Part DWhat is the maximum value, in dollars, for the predicted total sales? Show or explain how you got your answer.Enter your answer and your work or explanation in the space provided.

Part AWhich of the following is the domain of the function?

Part AWhich of the following is closest to the area, in square inches, of the shaded sector of circle Y?

Consider this expression.

Create an equivalent exponential expression in the form.

Which of the following graphs represents the solution set of this system of inequalities?

{y\geqq\frac{1}{2}{x}+3}
{y\geqq-x+5}

Part A

What are the predicted total sales, in dollars, when the price of a ticket is 10 dollars? Show or explain how you got your answer.

Enter your answer and your work or explanation in the space provided.

Part B

What is the increase or decrease in the predicted total sales, in dollars, when the price of a ticket is increased from 10 dollars to 12 dollars? Show or explain how you got your answer.

Enter your answer and your work or explanation in the space provided.

Part C

What is the ticket price, in dollars, that results in the maximum value for the predicted total sales? Show or explain how you got your answer.

Enter your answer and your work or explanation in the space provided.

Part D

What is the maximum value, in dollars, for the predicted total sales? Show or explain how you got your answer.

Enter your answer and your work or explanation in the space provided.

This diagram shows a circle with an inscribed right triangle and some of its measurements, in units.

Based on the diagram, what is the circumference, in units, of the circle?

Parallel lines {g} and {h} are intersected by line {j}. Lines {g},{h},{j}, and expressions representing angle measurements are shown in this diagram.

Based on the diagram, which of the following equations is not always true?

Line {w} is represented by this equation.

{y=5x+3}

Which of the following equation represents a line that is perpendicular to line {w}?

Consider this expression.

{(\sqrt{n^3})^4}

Which of the following is equivalent to the expression for all positive values of {n}?

Consider this expression.

Create an equivalent exponential expression in the form.

Part A

What are the predicted total sales, in dollars, when the price of a ticket is 10 dollars? Show or explain how you got your answer.

Enter your answer and your work or explanation in the space provided.

Part B

What is the increase or decrease in the predicted total sales, in dollars, when the price of a ticket is increased from 10 dollars to 12 dollars? Show or explain how you got your answer.

Enter your answer and your work or explanation in the space provided.

Part C

What is the ticket price, in dollars, that results in the maximum value for the predicted total sales? Show or explain how you got your answer.

Enter your answer and your work or explanation in the space provided.

Part D

What is the maximum value, in dollars, for the predicted total sales? Show or explain how you got your answer.

Enter your answer and your work or explanation in the space provided.

Part A

Which of the following is the domain of the function?

Part A

Which of the following is closest to the area, in square inches, of the shaded sector of circle Y?