2021: NY Grade 8 - Math - Sara Cowley | Library

Instructions

From the New York State Education Department. New York State Testing Program Grade Mathematics Test Released Questions 2021. Internet. Available from https://www.nysedregents.org/ei/math/2021/english/2021-released-items-math-g8.pdf; accessed 3, May, 2023.

Which graph represents a linear function of x?

1

What is the value of the expression shown below?

\frac{1.6\ \times\ 10^5}{0.2\ \times10^2}

1

At a factory, the cost of making different numbers of toothbrushes is shown in the table below.

A linear function models the cost based on the number of toothbrushes made. Which statement about the rate of change of this function is true?

1

A company makes two different-sized ice cream cones. The smaller cones are 3.5 inches tall and have a diameter of 3 inches. The larger cones are 5.1 inches tall and have a diameter of 4.5 inches. About how much greater, to the nearest tenth of a cubic inch, is the volume of the larger cone than the volume of the smaller cone?

1

Chris and Sam earn money shoveling snow, as described below.
The amount of money Chris earns can be modeled by the equation y=8.25x , where y is the total amount of money, in dollars, earned in x hours.
The table below shows the relationship between the total amount of money earned, y , in dollars, and the total amount of time worked, x , in hours, for Sam.

Which statement correctly compares the rates at which Chris and Sam earn money shoveling snow?

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Which equation represents a function of x that is not linear?

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Which equation represents the line shown on the coordinate plane below?

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The closest distance between Earth and Mars is approximately 3.39 x 107 miles. The fastest rocket leaving Earth travels at an average speed of approximately 3.6 X 104 miles per hour. At that rate, which expression could be used to determine the approximate number of hours it would take the rocket to travel that distance?

1

Triangle A and triangle B are graphed on the coordinate plane below.

Which sequence of transformations will map triangle A onto its congruent image, triangle B ?

1

Which system of equations has no solution?

1

A line is graphed on the coordinate plane below.

Line y=-x+2 will be graphed on the same coordinate plane to create a system of equations. What is the solution to that system of equations?

1

Linear function K passes through points (-3,7) and (3,3). What is the rate of change of function K ?

1

Rectangle A'B'C'D' is similar to rectangle ABCD, as shown on the coordinate plane below.

Which sequence of transformations maps rectangle ABCD onto rectangle A'B'C'D'?

1

Patty has a flower box in the shape of a rectangular prism with interior dimensions that are 15 inches in length, 8 inches in width, and 6 inches in height. Patty will fill the flower box 3/4 full of soil. How many cubic inches of soil will be in the flower box?

1

On a coordinate plane, the graph of a line passes through the origin and the point (10,14). What is the equation of the line?

1

Which statement about the solution to the equation shown below is true?

1

A study was conducted to determine the relationship between the age, x, in years, of a certain brand of motorcycle and its value, y, in dollars. The equation y=-750x+8,500 best models the data. Based on the equation, what is the estimated value of a motorcycle that is 5 years old?

1

Which statement best describes the data in a scatter plot where the y-values are decreasing as the x-values are increasing?

Which proportional relationship has the greatest rate of change?

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Which proportional relationship has the greatest rate of change?

1

A flower vase is in the shape of a cylinder and has a diameter of 5 inches and a height of 7 inches. Which equation could be used to determine the volume, in cubic inches, of the vase?

1

The planet Mercury is approximately 3.6 x 107 miles away from the sun, and the planet Jupiter is approximately 4.8 x 108 miles away. About how many times farther from the sun is planet Jupiter than planet Mercury?

1

Which expression is equivalent to

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Linear functions M and P are shown below

In comparing the rates of change, which statement about Function M and Function P is true?

1

The scatter plot below shows the average number of customers who visit a food truck per day, depending on the number of days the food truck stays in the same location.

Which statement best describes the association between the number of days the food truck is in the same location and the number of customers who visit the food truck per day?

1

The measures of the angles in triangle UVW are shown in the diagram below.

What is the value of x?

1

2021: NY Grade 8 - Math

2021: NY Grade 8 - Math

What is the value of the expression shown below?\frac{1.6\ \times\ 10^5}{0.2\ \times10^2}

At a factory, the cost of making different numbers of toothbrushes is shown in the table below.A linear function models the cost based on the number of toothbrushes made. Which statement about the rate of change of this function is true?

Which equation represents a function of x that is not linear?

Which equation represents the line shown on the coordinate plane below?

Triangle A and triangle B are graphed on the coordinate plane below. Which sequence of transformations will map triangle A onto its congruent image, triangle B ?

Which system of equations has no solution?

A line is graphed on the coordinate plane below.Line y=-x+2 will be graphed on the same coordinate plane to create a system of equations. What is the solution to that system of equations?

Linear function K passes through points (-3,7) and (3,3). What is the rate of change of function K ?

Rectangle A'B'C'D' is similar to rectangle ABCD, as shown on the coordinate plane below.Which sequence of transformations maps rectangle ABCD onto rectangle A'B'C'D'?

Patty has a flower box in the shape of a rectangular prism with interior dimensions that are 15 inches in length, 8 inches in width, and 6 inches in height. Patty will fill the flower box 3/4 full of soil. How many cubic inches of soil will be in the flower box?

On a coordinate plane, the graph of a line passes through the origin and the point (10,14). What is the equation of the line?

Which statement about the solution to the equation shown below is true?

A study was conducted to determine the relationship between the age, x, in years, of a certain brand of motorcycle and its value, y, in dollars. The equation y=-750x+8,500 best models the data. Based on the equation, what is the estimated value of a motorcycle that is 5 years old?

Which statement best describes the data in a scatter plot where the y-values are decreasing as the x-values are increasing?

Which proportional relationship has the greatest rate of change?

A flower vase is in the shape of a cylinder and has a diameter of 5 inches and a height of 7 inches. Which equation could be used to determine the volume, in cubic inches, of the vase?

The planet Mercury is approximately 3.6 x 107 miles away from the sun, and the planet Jupiter is approximately 4.8 x 108 miles away. About how many times farther from the sun is planet Jupiter than planet Mercury?

Which expression is equivalent to

Linear functions M and P are shown belowIn comparing the rates of change, which statement about Function M and Function P is true?

The measures of the angles in triangle UVW are shown in the diagram below.What is the value of x?

The graph of a function is shown on the coordinate plane below.Which statement correctly describes the function on a given interval?

Which graph represents a linear function of x?

What is the value of the expression shown below?\frac{1.6\ \times\ 10^5}{0.2\ \times10^2}

At a factory, the cost of making different numbers of toothbrushes is shown in the table below.A linear function models the cost based on the number of toothbrushes made. Which statement about the rate of change of this function is true?

Which equation represents a function of x that is not linear?

Which equation represents the line shown on the coordinate plane below?

Triangle A and triangle B are graphed on the coordinate plane below. Which sequence of transformations will map triangle A onto its congruent image, triangle B ?

Which system of equations has no solution?

A line is graphed on the coordinate plane below.Line y=-x+2 will be graphed on the same coordinate plane to create a system of equations. What is the solution to that system of equations?

Linear function K passes through points (-3,7) and (3,3). What is the rate of change of function K ?

Rectangle A'B'C'D' is similar to rectangle ABCD, as shown on the coordinate plane below.Which sequence of transformations maps rectangle ABCD onto rectangle A'B'C'D'?

Patty has a flower box in the shape of a rectangular prism with interior dimensions that are 15 inches in length, 8 inches in width, and 6 inches in height. Patty will fill the flower box 3/4 full of soil. How many cubic inches of soil will be in the flower box?

On a coordinate plane, the graph of a line passes through the origin and the point (10,14). What is the equation of the line?

Which statement about the solution to the equation shown below is true?

A study was conducted to determine the relationship between the age, x, in years, of a certain brand of motorcycle and its value, y, in dollars. The equation y=-750x+8,500 best models the data. Based on the equation, what is the estimated value of a motorcycle that is 5 years old?

Which statement best describes the data in a scatter plot where the y-values are decreasing as the x-values are increasing?

Which proportional relationship has the greatest rate of change?

A flower vase is in the shape of a cylinder and has a diameter of 5 inches and a height of 7 inches. Which equation could be used to determine the volume, in cubic inches, of the vase?

The planet Mercury is approximately 3.6 x 107 miles away from the sun, and the planet Jupiter is approximately 4.8 x 108 miles away. About how many times farther from the sun is planet Jupiter than planet Mercury?

Which expression is equivalent to

Linear functions M and P are shown belowIn comparing the rates of change, which statement about Function M and Function P is true?

The measures of the angles in triangle UVW are shown in the diagram below.What is the value of x?

The graph of a function is shown on the coordinate plane below.Which statement correctly describes the function on a given interval?

Which graph represents a linear function of x?

What is the value of the expression shown below?

\frac{1.6\ \times\ 10^5}{0.2\ \times10^2}

At a factory, the cost of making different numbers of toothbrushes is shown in the table below.

A linear function models the cost based on the number of toothbrushes made. Which statement about the rate of change of this function is true?

Triangle A and triangle B are graphed on the coordinate plane below.

Which sequence of transformations will map triangle A onto its congruent image, triangle B ?

A line is graphed on the coordinate plane below.

Line y=-x+2 will be graphed on the same coordinate plane to create a system of equations. What is the solution to that system of equations?

Rectangle A'B'C'D' is similar to rectangle ABCD, as shown on the coordinate plane below.

Which sequence of transformations maps rectangle ABCD onto rectangle A'B'C'D'?

Linear functions M and P are shown below

In comparing the rates of change, which statement about Function M and Function P is true?

The measures of the angles in triangle UVW are shown in the diagram below.

What is the value of x?

The graph of a function is shown on the coordinate plane below.

Which statement correctly describes the function on a given interval?

What is the value of the expression shown below?

\frac{1.6\ \times\ 10^5}{0.2\ \times10^2}

At a factory, the cost of making different numbers of toothbrushes is shown in the table below.

A linear function models the cost based on the number of toothbrushes made. Which statement about the rate of change of this function is true?

Triangle A and triangle B are graphed on the coordinate plane below.

Which sequence of transformations will map triangle A onto its congruent image, triangle B ?

A line is graphed on the coordinate plane below.

Line y=-x+2 will be graphed on the same coordinate plane to create a system of equations. What is the solution to that system of equations?

Rectangle A'B'C'D' is similar to rectangle ABCD, as shown on the coordinate plane below.

Which sequence of transformations maps rectangle ABCD onto rectangle A'B'C'D'?

Linear functions M and P are shown below

In comparing the rates of change, which statement about Function M and Function P is true?

The measures of the angles in triangle UVW are shown in the diagram below.

What is the value of x?

The graph of a function is shown on the coordinate plane below.

Which statement correctly describes the function on a given interval?