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.
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1.
In each table, x represents the input value and y represents the output value. Which table does not represent a function of x?
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2.
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 ?
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3.
Which equation describes a linear function?
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4.
A systems of equations is shown below.
5x + 2y = -15
2x - 2y = -6
Whats is the solution to the systems of equations?
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5.
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?
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6.
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?
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7.
A set of data is represented on the scatter plot below.
Which equation best models the set of data?
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8.
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?
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9.
Which set of ordered pairs (x, y) could represent a linear function of x ?
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10.
Which set of angle measures could be the interior angles of a triangle?
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11.
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?
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12.
Functions W and Z are both linear functions of x.
Which statement comparing the functions is true?
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13.
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’ ?
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14.
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?
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15.
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?
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16.
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?
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17.
Which function of x has the least value for the y-intercept?
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18.
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?
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19.
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 ?
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20.
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?
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21.
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?
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22.
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 ?
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23.
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?
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24.
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?
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25.
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?
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26.
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 ?
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27.
A function of z is shown on the coordinate plane.
Over which intervals is the function increasing?
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28.
An equation is shown below.
3(x — 2) + 7x = \frac{1}{2} (6x — 2)
How many solutions, if any, does the equation have?
Show your work.
Number of Solution(s) _______
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29.
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.
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30.
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.
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31.
Charles needs to fill a large fish tank with water using a hose. He has two hoses from which to choose. Water flows through each hose at a constant rate. The graph below shows the amount of water, in gallons, that flows through Hose A based on the number
of minutes used.
A total of 110 gallons of water can flow through Hose B in 10 minutes. Which hose has a faster water flow rate, in gallons per minute, and what is that rate?
Show your work.
Answer: Hose _______ and _______ gallons per minute
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32.
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.
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33.
The mass of Earth is approximately 5.97 x 10^{24} kilograms. The mass of Venus is approximately 4,870,000,000,000,000,000,000,000 kilograms. What is the difference between the approximate masses, in kilograms, of Earth and Venus?
Express your answer in scientific notation.
Show your work.
Answer: _______ kilograms
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34.
The ordered pairs below represent a linear function.