From the New York State Education Department. New York State Testing Program Grade 8 Mathematics Test Released Questions June 2019. Internet. Available from https://www.nysedregents.org/ei/math/2019/english/2019-released-items-math-g8.pdf; accessed 3, May, 2023.
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1.
Which graph represents a linear function of x?
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2.
What is the value of expression shown below?
\frac{1.6\ \times\ 10^5}{0.2\ \times10^2}
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3.
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?
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4.
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?
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5.
Which equation represents a function of x that is not linear?
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6.
Which equation represents the line shown on the coordinate plane below?
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7.
The closest distance between Earth and Mars is approximately miles. The fastest rocket leaving Earth travels at an average speed of approximately 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?
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8.
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 ?
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9.
Which system of equations has no solution?
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10.
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?
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11.
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'?
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12.
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 \frac{3}{4}
full of soil. How many cubic inches of soil will be in the flower box?
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13.
Which statement best describes the data in a scatter plot where the y-values are decreasing as the x-values are increasing?
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14.
Which proportional relationship has the greatest rate of change?
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15.
Which expression is equivalent to
\left(5^{-2}\right)^5\times5^4
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16.
Linear functions M and P are shown below.
In comparing the rates of change, which statement about Function M and Function P is true?
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17.
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?
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18.
The measures of the angles in triangle UVW are shown in the diagram below.
What is the value of x ?
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19.
The graph of a function is shown on the coordinate plane below.
Which statement correctly describes the function on a given interval?
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20.
Which set of ordered pairs does not represent a function?
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21.
Two solids are described in the list below.
One solid is a sphere and has a radius of inches.
The other solid is a cylinder with a radius of inches and a height of inches.
What is the difference between the volumes, in cubic inches, of the solids in terms of ?
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22.
The shoe sizes and the heights for 20 classmates were plotted as ordered pairs on a scatter plot. A line of best fit was drawn to model the data. Which scatter plot shows the most accurate line of best fit?
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23.
Which expression is equivalent to (7^{-8})\ (7^3)
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24.
The scatter plot below shows the relationship between the outside temperature and the number of cups of hot chocolate sold at an event.
Which statement describes the data?
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25.
Triangle is graphed on a coordinate plane, as shown below.
Triangle ABC is dilated by a scale factor of 2 with a center of dilation at the origin to create \triangle A'B'C' . What are the coordinates of the vertices of \triangle A'B'C'?
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26.
The set of ordered pairs below represents a relation that is a function.
{(-2, 8), (4,6), (10,4)}
Which point, when added to the set, would form a relation that is not a function?
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27.
The approximate areas of two states are listed below.
Texas: 2.69 \times 10^5 square miles
Rhode Island: 1.21 \times 10^3 square miles
Determine the difference, in square miles, between the area of Texas and the area of Rhode Island. Write your answer in scientific notation.
Show your work.
Answer: _______ square miles
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28.
The set of ordered pairs below represents a linear function.
{(-2,-3), (0,-2), (2,-1), (x,y)}
What is one other pair of coordinates that could be the missing ordered pair(x,y) , in this set?
Show your work.
Answer: x = _______
y = _______
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29.
Solve the system of equations shown below.
2x - 6y = - 12
x + 2y = 14
Show your work.
Answer: _______
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30.
A car repair shop charges an hourly rate plus a pickup and delivery fee. The graph below represents the relationship between the total cost of the repair, including pickup and delivery fee, and the number of hours it takes the shop to complete the repairs.
What equation represents this linear function?
Show your work.
Equation: _______
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31.
Billy is comparing gasoline prices at two different gas stations.
At the first gas station, the equation c = 2.80g gives the relationship between g, the number of gallons of gasoline, and c, the total cost, in dollars.
At the second gas station, the cost of 2.5 gallons of gasoline is $8.30, and the cost of 5 gallons of gasoline is $16.60.
How much money, per gallon, would Billy save by going to the less expensive gas station?
Show your work.
Answer: $_______ per gallon
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32.
Triangle ABC goes through a series of three transformations, resulting in triangle A'B'C'.
The three transformations are listed below.
a rotation 180\degree clockwise about the origin
a reflection over the x-axis
a reflection over the y-axis
Triangle has vertex A located at (2,-3). Using the coordinates of this point, explain how the three transformations map vertex A onto vertex A'.
Explain your answer.
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33.
Two students, Matt and Billy, each calculated the volume of a spherical ball with a diameter of 15 centimeters. Their work is shown below.
Which student made an error and what error did that student make?
Explain your answer.
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34.
The two equations shown below represent different functions.
Function: P: y=\frac{3}{x}+2
Function: Q: y=\frac{1}{3}x+2
Identify each function as linear or nonlinear. State a reason why each function is linear or nonlinear.
