NYSTP Grade 8 Math

Required

1

A group of friends went to a movie theater and paid $15.00 for each movie ticket. The group of friends shared one container of popcorn that cost $8.99. Which equation can be used to determine the total cost, c, for n tickets and the container of popcorn?

Required

1

A scatter plot is shown below.

Which pair of points could be used to draw a line that best represents the relationship of the data?

Required

1

Triangle ABC is rotated 90° about the origin and then reflected over the y axis to form triangle A'B'C'. One of the angles in triangle ABC has a measure of 115°. One of the angles in triangle A'B'C' has a measure of 40°. Which is the measure of an angle in triangle ABC?

Required

1

What is the value of x in the equation \frac{2}{3}x - 7 = 5 - \frac{3}{5}x?

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1

Two electricians, Electrician A and Electrician B, offer pricing plans for their work. Each electrician charges an initial fee for a service call plus an hourly rate. The charges for each electrician are represented by the equation and the table shown below.

Which statement comparing the charges for each electrician is true?

Required

1

What is the slope of the line on a coordinate plane that passes through the points (2, 2) and (-1, -2)?

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1

A sphere has a radius of 4 inches. A cone has a radius of 3 inches and a height of 8 inches. Which expression represents the difference in volume, in cubic inches, between the sphere and the cone?

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Which value of x makes the equation x^{3}=64 true?

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1

The scatter plot below shows the weight, in pounds, of an alligator as it grows at a zoo. The line y = 0.3x + 5.8 has been drawn to best represent the relationship between the alligator’s weight and growth time.

Which statement best describes what the number 0.3 in the equation represents in this situation?

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1

Trapezoid ABCD and its image A'B'C'D' are shown on the coordinate plane below.

Which series of transformations could be applied to map trapezoid ABCD onto trapezoid A'B'C'D'?

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1

Which equation represents a linear function?

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1

On a coordinate plane, triangle ABC is rotated 90 degrees clockwise about the origin and then dilated with a scale factor of 2 centered at the origin to form triangle A'B'C'. Which statement describes the relationship between triangle ABC and triangle A'B'C'?

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1

One of the angles in a triangle measures x degrees. Another angle in the triangle measures y degrees. Which expression represents the measurement, in degrees, of the third angle of the triangle?

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1

Which expression is equivalent to 3^5?

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1

Which list of numbers could represent the side lengths of a right triangle?

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1

The table below represents a function.

Which statement describes the function?

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1

Quadrilateral FGHJ is rotated about the origin to form quadrilateral F'G'H'J'.

Which two sides are equal in length?

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1

A manufacturer makes cylindrical cans in two sizes. The dimensions of each can are shown in the diagram below.

What is the difference between the volumes, in cubic centimeters, of the large can and the small can in terms of π?

Required

1

An equation is shown below.

2(3x + 1) = x + 1 + 5x

Which statement about the equation is true?

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1

Which statement best describes the value of \sqrt{2}?

Required

1

A set of ordered pairs is shown below.

{(−3, 3), (1, 1), (4, 2), (−1, −1), (−2, −1), (3, 1), (−2, 3)}

Which ordered pair should be removed to make the set a function?

Required

1

This question is worth 1 credit.

A movie theater sells popcorn in cone shaped containers as shown below.

What is the volume, in cubic inches, of the popcorn container? Round your answer to the nearest tenth.

Answer: _______ cubic inches

Required

1

This question is worth 1 credit.

The area of a square shaped garden is 324 square feet. What is the length, in feet, of each side of the garden?

Answer:_______ feet

Required

1

This question is worth 1 credit.

Line segment AB is graphed on the coordinate plane shown below.

What is the length, in units, of line segment AB ?

Required

2

This question is worth 2 credits.

In the figure below, line p is parallel to line q and lines AD and AF are transversals.

What is the measure, in degrees, of \angle BAC?

Show your work.

Answer: _______ degrees

Required

2

This question is worth 2 credits.

The equation y = 1.5x + 29 is used to model the yearly salary, y, of an employee, in thousands of dollars, where x is the number of years the employee has worked for the company. What does the slope of the line represent in this situation?

Explain your answer.

Required

2

This question is worth 2 credits.

A dog owner collected data to see which of his two dogs runs at the greater speed. The graph and the table below show the relationship between the time, in seconds, and the distance, in feet, each dog ran.

What is the difference, in feet per second, between the speeds of the two dogs?

Show your work.

Answer:_______ feet per second

Required

2

This question is worth 2 credits.

Two ordered pairs of a linear function are shown below.

\left(2,4\frac{1}{2}\right) , \left(3,5\frac{1}{4}\right)

What is the rate of change for the function?

Show your work.

Required

2

This question is worth 2 credits.

What value of x makes the equation shown below true?

\frac{1}{4}\left(3x-8\right)+4=2\left(x - 4\right) 

Show your work.
 
Answer: x =_______

Required

2

This question is worth 2 credits.

A list of numbers is shown below.
\sqrt{49}
1.\overline{3}
\sqrt{32}
\frac{7}{2}
1.234
Classify each number as either rational or irrational. Be sure to include how you know a number is rational.

Explain your answer.

Required

3

This question is worth 3 credits.

Store A and Store B sell fabric for different prices. The equation y = 3.5x represents the price, y, in dollars, for x yards of fabric at Store A. The graph below represents the price for the same type of fabric at Store B.

What is the unit rate for the price of fabric, per yard, at each store?
Store A $_______ per yard of fabric

Store B $_______ per yard of fabric

How much more would the price of 9 yards of fabric be at Store A than at Store B?

Show your work.

Answer $_______

A group of friends went to a movie theater and paid $15.00 for each movie ticket. The group of friends shared one container of popcorn that cost $8.99. Which equation can be used to determine the total cost, c, for n tickets and the container of popcorn?

A scatter plot is shown below.Which pair of points could be used to draw a line that best represents the relationship of the data?

Triangle ABC is rotated 90° about the origin and then reflected over the y axis to form triangle A'B'C'. One of the angles in triangle ABC has a measure of 115°. One of the angles in triangle A'B'C' has a measure of 40°. Which is the measure of an angle in triangle ABC?

What is the value of x in the equation \frac{2}{3}x - 7 = 5 - \frac{3}{5}x?

What is the slope of the line on a coordinate plane that passes through the points (2, 2) and (-1, -2)?

A sphere has a radius of 4 inches. A cone has a radius of 3 inches and a height of 8 inches. Which expression represents the difference in volume, in cubic inches, between the sphere and the cone?

Which value of x makes the equation x^{3}=64 true?

Trapezoid ABCD and its image A'B'C'D' are shown on the coordinate plane below.Which series of transformations could be applied to map trapezoid ABCD onto trapezoid A'B'C'D'?

Which equation represents a linear function?

On a coordinate plane, triangle ABC is rotated 90 degrees clockwise about the origin and then dilated with a scale factor of 2 centered at the origin to form triangle A'B'C'. Which statement describes the relationship between triangle ABC and triangle A'B'C'?

One of the angles in a triangle measures x degrees. Another angle in the triangle measures y degrees. Which expression represents the measurement, in degrees, of the third angle of the triangle?

Which expression is equivalent to 3^5?

Which list of numbers could represent the side lengths of a right triangle?

The table below represents a function.Which statement describes the function?

Quadrilateral FGHJ is rotated about the origin to form quadrilateral F'G'H'J'.Which two sides are equal in length?

A manufacturer makes cylindrical cans in two sizes. The dimensions of each can are shown in the diagram below.What is the difference between the volumes, in cubic centimeters, of the large can and the small can in terms of π?

An equation is shown below.2(3x + 1) = x + 1 + 5xWhich statement about the equation is true?

Which statement best describes the value of \sqrt{2}?

A set of ordered pairs is shown below.{(−3, 3), (1, 1), (4, 2), (−1, −1), (−2, −1), (3, 1), (−2, 3)}Which ordered pair should be removed to make the set a function?

This question is worth 1 credit.Line segment AB is graphed on the coordinate plane shown below.What is the length, in units, of line segment AB ?

This question is worth 2 credits.The equation y = 1.5x + 29 is used to model the yearly salary, y, of an employee, in thousands of dollars, where x is the number of years the employee has worked for the company. What does the slope of the line represent in this situation?Explain your answer.

This question is worth 2 credits.Two ordered pairs of a linear function are shown below.\left(2,4\frac{1}{2}\right) , \left(3,5\frac{1}{4}\right)What is the rate of change for the function?Show your work.

This question is worth 2 credits.A list of numbers is shown below.\sqrt{49}1.\overline{3}\sqrt{32}\frac{7}{2}1.234Classify each number as either rational or irrational. Be sure to include how you know a number is rational.Explain your answer.

What is the unit rate for the price of fabric, per yard, at each store?

A scatter plot is shown below.

Which pair of points could be used to draw a line that best represents the relationship of the data?

Trapezoid ABCD and its image A'B'C'D' are shown on the coordinate plane below.

Which series of transformations could be applied to map trapezoid ABCD onto trapezoid A'B'C'D'?

The table below represents a function.

Which statement describes the function?

Quadrilateral FGHJ is rotated about the origin to form quadrilateral F'G'H'J'.

Which two sides are equal in length?

A manufacturer makes cylindrical cans in two sizes. The dimensions of each can are shown in the diagram below.

What is the difference between the volumes, in cubic centimeters, of the large can and the small can in terms of π?

An equation is shown below.

2(3x + 1) = x + 1 + 5x

Which statement about the equation is true?

A set of ordered pairs is shown below.

{(−3, 3), (1, 1), (4, 2), (−1, −1), (−2, −1), (3, 1), (−2, 3)}

Which ordered pair should be removed to make the set a function?

This question is worth 1 credit.

Line segment AB is graphed on the coordinate plane shown below.

What is the length, in units, of line segment AB ?

This question is worth 2 credits.

The equation y = 1.5x + 29 is used to model the yearly salary, y, of an employee, in thousands of dollars, where x is the number of years the employee has worked for the company. What does the slope of the line represent in this situation?

Explain your answer.

This question is worth 2 credits.

Two ordered pairs of a linear function are shown below.

\left(2,4\frac{1}{2}\right) , \left(3,5\frac{1}{4}\right)

What is the rate of change for the function?

Show your work.

This question is worth 2 credits.

A list of numbers is shown below.
\sqrt{49}
1.\overline{3}
\sqrt{32}
\frac{7}{2}
1.234
Classify each number as either rational or irrational. Be sure to include how you know a number is rational.

Explain your answer.