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Laabri

NYSTP Grade 8 Math

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Last updated about 1 year ago
31 Nsɛmmisa
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Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
2.

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?

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3.

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?

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4.

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

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5.

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?

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6.

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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7.

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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8.

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

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9.

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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10.

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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11.

Which equation represents a linear function?

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12.

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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13.

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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14.

Which expression is equivalent to 3^5?

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15.

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

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16.

The table below represents a function.

Which statement describes the function?

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17.

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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18.

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?

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19.

An equation is shown below.

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

Which statement about the equation is true?

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20.

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

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21.

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?

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22.
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23.
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24.

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 ?

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25.
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26.

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.

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27.
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28.

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.

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29.
Asemmisa {{asɛmmisaAhyɛnsode}}
30.

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.

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31.