2018: NY Grade 8 - Math - Sara Cowley | Laabri | Nneɛma a ɛma wotumi yɛ ade

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From the New York State Education Department. New York State Testing Program Grade 8 Mathematics Test Released Questions June 2018. Internet. Available from https://www.nysedregents.org/ei/math/2018/english/2018-released-items-math-g8.pdf; accessed 3, May, 2023.

1

In each table, x represents the input value and y represents the output value. Which table does not represent a function of x?

null

NY-8.F.1

1

City x has a population of 3 * 10^5 and City Y has a population of 6*10^6. Which statement correctly describes the relationship between the populations of City X & Y ?

The populations of City Y is 2 times the populations of City X.

The populations of City Y is 20 times the populations of City X.

The populations of City X is 300,000 less than the populations of City Y.

The populations of City X is 3,000,000 less than the populations of City Y.

NY-8.EE.3

1

Which equation describes a linear function?

V = s^3

y =(\frac{1}{6})x

y=(2)^x

A=\pi\ r^2

NY-8.F.3

1

A systems of equations is shown below.
5x + 2y = -15
2x - 2y = -6
Whats is the solution to the systems of equations?

(-3, 0)

(0, -3)

(-3, 6)

(6, -3)

NY-8.EE.8.b

1

A radar device has an antenna that revolves at a constant rate. The graph shows the number of revolutions the device will make over time.
Which table shows the data for an antenna that revolves at exactly twice the rate of the antenna described in the graph?

null

NY-8.EE.5

1

The octagon shown below has eight congruent sides. The given measures of the octagon are rounded to the nearest tenth of a centimeter.
What is the area, to the nearest square centimeter, of the octagon?

392

487

650

720

7.G.6

1

A set of data is represented on the scatter plot below.
Which equation best models the set of data?

y = -\frac{3}{4}x+6

y = \frac{3}{4}x-6

y = -6x+\frac{3}{4}

y = 6x-\frac{3}{4}

NY-8.SP.2

1

On the coordinate plane below, rectangle ABCD is rotated 90° clockwise about the origin to form rectangle WXYZ.
Which statement about the relationship between rectangle ABCD and rectangle WXYZ is true?

\overline{DA}≅\overline{YZ}

\overline{DC}≅\overline{XY}

\overline{BC}≅\overline{YZ}

\overline{AB}≅\overline{WX}

NY-8.G.2

1

Which set of ordered pairs (x, y) could represent a linear function of x ?

{(—2, 8), (0, 4}, (2, 3), (4, 2)}

{(1, 2), (1, 3), (1, 4), (1, 5)}

{(—2, 7), (0, 12), (2, 17), (4, 22)}

{(3, 5), (4, 7), (3, 9), (5, 11)}

NY-8.F.3

1

Which set of angle measures could be the interior angles of a triangle?

90°, 90°, 90°

80°, 80°, 200°

40°, 50°, 60°

15°, 30°, 135°

7.G.2

1

The scatter plot below can be used to find the approximate rate at which water flows through a garden hose. The line of best fit for the scatter plot can be described by the
equation y = \frac{4}{5}x.
If the rate, in gallons per minute, continues, approximately how many gallons of water will flow from the hose in 45 minutes?

24

36

39

56

NY-8.SP.3

1

Functions W and Z are both linear functions of x.
Which statement comparing the functions is true?

The slope of Function W is equal to the slope of Function Z.

The slope of Function W is less than the slope of Function Z.

The y-intercept of Function W is equal to the y-intercept of Function Z.

The y-intercept of Function W is less than the y-intercept of Function Z.

NY-8.F.2

1

On a coordinate plane, vertex A for triangle ABC is located at (6, 4) . Triangle ABC is dilated by a scale factor of 0.5 with the center of dilation at the origin. The resulting image is triangle A’B’C’. What are the coordinates of vertex A’ ?

(3, 2)

(12, 8)

(5.5, 3.5)

(6.5, 4.5)

NY-8.G.3

1

Triangle BCD is rotated 180° clockwise and then dilated by a factor of 4 centered at the origin. The resulting image is triangle B’C’D’. Which statement about the two triangles is true?

The area of \triangle BCD is 4 times the area of \triangle B’C’D’.

The perimeter of \triangle BCD is 4 times the perimeter of \triangle B’C’D’.

The corresponding sides of \triangle BCD and \triangle B’C’D’ are congruent.

The corresponding angles of \triangle BCD and \triangle B’C’D’ are congruent.

NY-8.G.4

1

At a local basketball game, all tickets are the same price and all souvenirs are the same price. Mr. Smith bought 2 tickets to this basketball game and 1 souvenir for a total of $17.25. Ms. Lockhart bought 5 tickets to the same game and 2 souvenirs for a total of $42.00. How much was a ticket to this game?

$2.25

$7.50

$8.50

$975

NY-8.EE.8.c

1

The object below is made of solid plastic. It is a cylinder with an indentation at the top in the shape of a cone.
What is the volume, to the nearest tenth of a cubic inch, of the plastic object?

103.5

100.4

97.6

91.7

NY-8.G.9

1

Which function of x has the least value for the y-intercept?

y = -4x + 15

null

y = 2x - 3

null

NY-8.F.2

1

The scatter plot below shows the average points scored per game by players of different ages in an adult basketball league.
Which statement best describes the association between a player’s age, in years, and the average points scored per game?

There is no association.

There is a nonlinear association.

There is a positive linear association and one outlier.

There is a negative linear association and one outlier.

NY-8.SP.1

1

In city W, the average cost for a gym membership is given by the equation
y = 34.99x + 49, where y is the total cost, in dollars, for x months of membership. What is the meaning of the y-value when x = 1 ?

the average sign-up fee for a gym membership

the average monthly charge for a gym membership

the average total cost for the first month of a gym membership

the average total cost for the first two months of a gym membership

NY-8.SP.3

1

What is the volume, in terms of \pi, for a cylindrical container with a radius of 3.25 centimeters and a height of 10 centimeters?

65\pi cm^3

105.625\pi cm^3

331.83\pi cm^3

422.5\pi cm^3

NY-8.G.9

1

Kevin and Christy both saved money for their class trip. Kevin saved the same amount each week. The total amount that Kevin saved at the end of every two weeks is shown in the table below.
Christy’s savings can be modeled by the equation y = 26x, where y is the total amount of money saved in x weeks. Which statement correctly compares the rates at which Kevin and Christy saved money?

Christy saved $3 per week more than Kevin.

Kevin saved $10 per week more than Christy.

Christy saved $18 per week more than Kevin.

Kevin saved $20 per week more than Christy.

NY-8.EE.5

1

The points (4, 1) and (x, —6) lie on the same line. If the slope of the line is 1, what is the value of x ?

x = -3

x = 3

x = 9

x = 11

NY-8.EE.6

1

Mya claims (m\angle 3 + m\angle 4) = m\angle 1, as shown in the triangle below.
Which equations explain why Mya’s claim must be true?

(m \angle 1 + m\angle 2) = 90° and (m\angle 3 + m \angle 4) = 90°

(m\angle 1 + m\angle 2) = 180° and (m\angle 3 + m\angle 4) = 180°

(m \angle 1 + m\angle 2) = 90° and (m\angle 3 + m \angle 4+ m\angle 2) = 90°

(m \angle 1 + m\angle 2) = 180° and (m\angle 3 + m \angle 4+ m\angle 2) = 180°

NY-8.G.5

1

The dimensions of a square right pyramid are shown below.
The pyramid is sliced by a plane that passes vertically through the top vertex and is perpendicular to the base. What is the resulting two-dimensional shape and the area of the plane section?

a triangle with an area of 20 square units

a triangle with an area of 40 square units

a rectangle with an area of 16 square units

a rectangle with an area of 40 square units

7.G.3

1

A newspaper conducted a survey to find out how many high school students play video games. The two-way table below displays the data from the survey.
Based on these data in the table, which statement is true?

There were 2,451 boys surveyed, and about 29% of them play video games.

There were 2,996 girls surveyed, and about 45% of them play video games.

There were 5,447 students surveyed, and about 54°4 o1 them do not play video games.

here were 2,493 students surveyed, and about 34% of them are girls who do not play video games.

NY-8.SP.1

1

Two cells are viewed and measured under a microscope. The approximate diameter of each cell is listed below.
• cell P: 5.0 * 10^-4\ meters
• cell Q: 3.0 * 10^-5\ meters
What is the approximate difference, in meters, between the diameter of cell P and the diameter of cell Q ?

2.0 \times 10^-5

2.0 \times 10^-4

4.7 \times 10^-5

4.7 \times 10^-4

NY-8.EE.4

1

A function of z is shown on the coordinate plane.
Over which intervals is the function increasing?

-4 < x < -2 and —1 < x < 1

-4 < x < -2 and 0 < x < 2

-2 < x < 0 and 2 < x < 4

-2 < x < -1 and 2 < x < 4

NY-8.F.5

2

NY-8.EE.7.a

2

Line n passes through the points (—3, —7.5) and (2, —5). Tahlia determined that the equation of line n is y = 0.5x. Explain the error Tahlia made while determining her equation. Be sure to include the correct equation in your explanation.

NY-8.F.4

2

Square ABCD is located on a coordinate plane. The coordinates for three of the vertices are listed below.
A (2, 7)
C (8,1)
D (2, 1)
Square ABCD is dilated by a scale factor of 2 with the center of dilation at the origin, to form square A’B’C’D’. What are the coordinates of vertex B’ ?
Explain how you determined your answer.

NY-8.G.3

2

NY-8.EE.5

2

The table and graph shown below each represent a function of x.

Which function, A or B, has a greater rate of change? Be sure to include the values for the rates of change in your answer.
Explain your answer.

NY-8.F.2

2

NY-8.EE.4

2

NY-8.F.3

3

NY-8.EE.8.c

2018: NY Grade 8 - Math

2018: NY Grade 8 - Math

In each table, x represents the input value and y represents the output value. Which table does not represent a function of x?

City x has a population of 3 * 10^5 and City Y has a population of 6*10^6. Which statement correctly describes the relationship between the populations of City X & Y ?

Which equation describes a linear function?

A systems of equations is shown below. 5x + 2y = -15 2x - 2y = -6Whats is the solution to the systems of equations?

A radar device has an antenna that revolves at a constant rate. The graph shows the number of revolutions the device will make over time.Which table shows the data for an antenna that revolves at exactly twice the rate of the antenna described in the graph?

The octagon shown below has eight congruent sides. The given measures of the octagon are rounded to the nearest tenth of a centimeter.What is the area, to the nearest square centimeter, of the octagon?

A set of data is represented on the scatter plot below.Which equation best models the set of data?

On the coordinate plane below, rectangle ABCD is rotated 90° clockwise about the origin to form rectangle WXYZ.Which statement about the relationship between rectangle ABCD and rectangle WXYZ is true?

Which set of ordered pairs (x, y) could represent a linear function of x ?

Which set of angle measures could be the interior angles of a triangle?

Functions W and Z are both linear functions of x.Which statement comparing the functions is true?

On a coordinate plane, vertex A for triangle ABC is located at (6, 4) . Triangle ABC is dilated by a scale factor of 0.5 with the center of dilation at the origin. The resulting image is triangle A’B’C’. What are the coordinates of vertex A’ ?

Triangle BCD is rotated 180° clockwise and then dilated by a factor of 4 centered at the origin. The resulting image is triangle B’C’D’. Which statement about the two triangles is true?

The object below is made of solid plastic. It is a cylinder with an indentation at the top in the shape of a cone.What is the volume, to the nearest tenth of a cubic inch, of the plastic object?

Which function of x has the least value for the y-intercept?

The scatter plot below shows the average points scored per game by players of different ages in an adult basketball league.Which statement best describes the association between a player’s age, in years, and the average points scored per game?

In city W, the average cost for a gym membership is given by the equationy = 34.99x + 49, where y is the total cost, in dollars, for x months of membership. What is the meaning of the y-value when x = 1 ?

What is the volume, in terms of \pi, for a cylindrical container with a radius of 3.25 centimeters and a height of 10 centimeters?

The points (4, 1) and (x, —6) lie on the same line. If the slope of the line is 1, what is the value of x ?

Mya claims (m\angle 3 + m\angle 4) = m\angle 1, as shown in the triangle below.Which equations explain why Mya’s claim must be true?

The dimensions of a square right pyramid are shown below. The pyramid is sliced by a plane that passes vertically through the top vertex and is perpendicular to the base. What is the resulting two-dimensional shape and the area of the plane section?

A newspaper conducted a survey to find out how many high school students play video games. The two-way table below displays the data from the survey.Based on these data in the table, which statement is true?

Two cells are viewed and measured under a microscope. The approximate diameter of each cell is listed below.• cell P: 5.0 * 10^-4\ meters• cell Q: 3.0 * 10^-5\ metersWhat is the approximate difference, in meters, between the diameter of cell P and the diameter of cell Q ?

A function of z is shown on the coordinate plane.Over which intervals is the function increasing?

Line n passes through the points (—3, —7.5) and (2, —5). Tahlia determined that the equation of line n is y = 0.5x. Explain the error Tahlia made while determining her equation. Be sure to include the correct equation in your explanation.

The table and graph shown below each represent a function of x. Which function, A or B, has a greater rate of change? Be sure to include the values for the rates of change in your answer.Explain your answer.

In each table, x represents the input value and y represents the output value. Which table does not represent a function of x?

City x has a population of 3 * 10^5 and City Y has a population of 6*10^6. Which statement correctly describes the relationship between the populations of City X & Y ?

Which equation describes a linear function?

A systems of equations is shown below. 5x + 2y = -15 2x - 2y = -6Whats is the solution to the systems of equations?

A radar device has an antenna that revolves at a constant rate. The graph shows the number of revolutions the device will make over time.Which table shows the data for an antenna that revolves at exactly twice the rate of the antenna described in the graph?

The octagon shown below has eight congruent sides. The given measures of the octagon are rounded to the nearest tenth of a centimeter.What is the area, to the nearest square centimeter, of the octagon?

A set of data is represented on the scatter plot below.Which equation best models the set of data?

On the coordinate plane below, rectangle ABCD is rotated 90° clockwise about the origin to form rectangle WXYZ.Which statement about the relationship between rectangle ABCD and rectangle WXYZ is true?

Which set of ordered pairs (x, y) could represent a linear function of x ?

Which set of angle measures could be the interior angles of a triangle?

Functions W and Z are both linear functions of x.Which statement comparing the functions is true?

On a coordinate plane, vertex A for triangle ABC is located at (6, 4) . Triangle ABC is dilated by a scale factor of 0.5 with the center of dilation at the origin. The resulting image is triangle A’B’C’. What are the coordinates of vertex A’ ?

Triangle BCD is rotated 180° clockwise and then dilated by a factor of 4 centered at the origin. The resulting image is triangle B’C’D’. Which statement about the two triangles is true?

The object below is made of solid plastic. It is a cylinder with an indentation at the top in the shape of a cone.What is the volume, to the nearest tenth of a cubic inch, of the plastic object?

Which function of x has the least value for the y-intercept?

The scatter plot below shows the average points scored per game by players of different ages in an adult basketball league.Which statement best describes the association between a player’s age, in years, and the average points scored per game?

In city W, the average cost for a gym membership is given by the equationy = 34.99x + 49, where y is the total cost, in dollars, for x months of membership. What is the meaning of the y-value when x = 1 ?

What is the volume, in terms of \pi, for a cylindrical container with a radius of 3.25 centimeters and a height of 10 centimeters?

The points (4, 1) and (x, —6) lie on the same line. If the slope of the line is 1, what is the value of x ?

Mya claims (m\angle 3 + m\angle 4) = m\angle 1, as shown in the triangle below.Which equations explain why Mya’s claim must be true?

The dimensions of a square right pyramid are shown below. The pyramid is sliced by a plane that passes vertically through the top vertex and is perpendicular to the base. What is the resulting two-dimensional shape and the area of the plane section?

A newspaper conducted a survey to find out how many high school students play video games. The two-way table below displays the data from the survey.Based on these data in the table, which statement is true?

Two cells are viewed and measured under a microscope. The approximate diameter of each cell is listed below.• cell P: 5.0 * 10^-4\ meters• cell Q: 3.0 * 10^-5\ metersWhat is the approximate difference, in meters, between the diameter of cell P and the diameter of cell Q ?

A function of z is shown on the coordinate plane.Over which intervals is the function increasing?

Line n passes through the points (—3, —7.5) and (2, —5). Tahlia determined that the equation of line n is y = 0.5x. Explain the error Tahlia made while determining her equation. Be sure to include the correct equation in your explanation.

The table and graph shown below each represent a function of x. Which function, A or B, has a greater rate of change? Be sure to include the values for the rates of change in your answer.Explain your answer.

A systems of equations is shown below.
5x + 2y = -15
2x - 2y = -6
Whats is the solution to the systems of equations?

A radar device has an antenna that revolves at a constant rate. The graph shows the number of revolutions the device will make over time.
Which table shows the data for an antenna that revolves at exactly twice the rate of the antenna described in the graph?

The octagon shown below has eight congruent sides. The given measures of the octagon are rounded to the nearest tenth of a centimeter.
What is the area, to the nearest square centimeter, of the octagon?

A set of data is represented on the scatter plot below.
Which equation best models the set of data?

On the coordinate plane below, rectangle ABCD is rotated 90° clockwise about the origin to form rectangle WXYZ.
Which statement about the relationship between rectangle ABCD and rectangle WXYZ is true?

Functions W and Z are both linear functions of x.
Which statement comparing the functions is true?

The object below is made of solid plastic. It is a cylinder with an indentation at the top in the shape of a cone.
What is the volume, to the nearest tenth of a cubic inch, of the plastic object?

The scatter plot below shows the average points scored per game by players of different ages in an adult basketball league.
Which statement best describes the association between a player’s age, in years, and the average points scored per game?

In city W, the average cost for a gym membership is given by the equation
y = 34.99x + 49, where y is the total cost, in dollars, for x months of membership. What is the meaning of the y-value when x = 1 ?

Mya claims (m\angle 3 + m\angle 4) = m\angle 1, as shown in the triangle below.
Which equations explain why Mya’s claim must be true?

The dimensions of a square right pyramid are shown below.
The pyramid is sliced by a plane that passes vertically through the top vertex and is perpendicular to the base. What is the resulting two-dimensional shape and the area of the plane section?

A newspaper conducted a survey to find out how many high school students play video games. The two-way table below displays the data from the survey.
Based on these data in the table, which statement is true?

Two cells are viewed and measured under a microscope. The approximate diameter of each cell is listed below.
• cell P: 5.0 * 10^-4\ meters
• cell Q: 3.0 * 10^-5\ meters
What is the approximate difference, in meters, between the diameter of cell P and the diameter of cell Q ?

A function of z is shown on the coordinate plane.
Over which intervals is the function increasing?

The table and graph shown below each represent a function of x.

Which function, A or B, has a greater rate of change? Be sure to include the values for the rates of change in your answer.
Explain your answer.

A systems of equations is shown below.
5x + 2y = -15
2x - 2y = -6
Whats is the solution to the systems of equations?

A radar device has an antenna that revolves at a constant rate. The graph shows the number of revolutions the device will make over time.
Which table shows the data for an antenna that revolves at exactly twice the rate of the antenna described in the graph?

The octagon shown below has eight congruent sides. The given measures of the octagon are rounded to the nearest tenth of a centimeter.
What is the area, to the nearest square centimeter, of the octagon?

A set of data is represented on the scatter plot below.
Which equation best models the set of data?

On the coordinate plane below, rectangle ABCD is rotated 90° clockwise about the origin to form rectangle WXYZ.
Which statement about the relationship between rectangle ABCD and rectangle WXYZ is true?

Functions W and Z are both linear functions of x.
Which statement comparing the functions is true?

The object below is made of solid plastic. It is a cylinder with an indentation at the top in the shape of a cone.
What is the volume, to the nearest tenth of a cubic inch, of the plastic object?

The scatter plot below shows the average points scored per game by players of different ages in an adult basketball league.
Which statement best describes the association between a player’s age, in years, and the average points scored per game?

In city W, the average cost for a gym membership is given by the equation
y = 34.99x + 49, where y is the total cost, in dollars, for x months of membership. What is the meaning of the y-value when x = 1 ?

Mya claims (m\angle 3 + m\angle 4) = m\angle 1, as shown in the triangle below.
Which equations explain why Mya’s claim must be true?

The dimensions of a square right pyramid are shown below.
The pyramid is sliced by a plane that passes vertically through the top vertex and is perpendicular to the base. What is the resulting two-dimensional shape and the area of the plane section?

A newspaper conducted a survey to find out how many high school students play video games. The two-way table below displays the data from the survey.
Based on these data in the table, which statement is true?

Two cells are viewed and measured under a microscope. The approximate diameter of each cell is listed below.
• cell P: 5.0 * 10^-4\ meters
• cell Q: 3.0 * 10^-5\ meters
What is the approximate difference, in meters, between the diameter of cell P and the diameter of cell Q ?

A function of z is shown on the coordinate plane.
Over which intervals is the function increasing?

The table and graph shown below each represent a function of x.

Which function, A or B, has a greater rate of change? Be sure to include the values for the rates of change in your answer.
Explain your answer.