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Biblioteka

NYSTP Grade 8 Math

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Posljednje ažuriranje about 1 year ago
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Pitanje 1
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?

Pitanje 2
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?

Pitanje 3
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?

Pitanje 4
4.

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

Pitanje 5
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?

Pitanje 6
6.

What is the slope of the line on a coordinate plane that passes through the points (2, 2) and (-1, -2)?

Pitanje 7
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?

Pitanje 8
8.

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

Pitanje 9
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?

Pitanje 10
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'?

Pitanje 11
11.

Which equation represents a linear function?

Pitanje 12
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'?

Pitanje 13
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?

Pitanje 14
14.

Which expression is equivalent to 3^5?

Pitanje 15
15.

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

Pitanje 16
16.

The table below represents a function.

Which statement describes the function?

Pitanje 17
17.

Quadrilateral FGHJ is rotated about the origin to form quadrilateral F'G'H'J'.

Which two sides are equal in length?

Pitanje 18
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?

Pitanje 19
19.

An equation is shown below.

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

Which statement about the equation is true?

Pitanje 20
20.

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

Pitanje 21
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?

Pitanje 22
22.

This question is worth 1 credit.

A movie theater sells popcorn in cone shaped containers as shown below.

What is the volume, in cubic inches, of the popcorn container? Round your answer to the nearest tenth.

Answer: cubic inches

Pitanje 23
23.

This question is worth 1 credit.

The area of a square shaped garden is 324 square feet. What is the length, in feet, of each side of the garden?

Answer: feet

Pitanje 24
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 ?

Pitanje 25
25.

This question is worth 2 credits.

In the figure below, line p is parallel to line q and lines AD and AF are transversals.

What is the measure, in degrees, of \angle BAC?

Show your work.

Answer: degrees

Pitanje 26
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.

Pitanje 27
27.

This question is worth 2 credits.

A dog owner collected data to see which of his two dogs runs at the greater speed. The graph and the table below show the relationship between the time, in seconds, and the distance, in feet, each dog ran.

What is the difference, in feet per second, between the speeds of the two dogs?

Show your work.

Answer: feet per second

Pitanje 28
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.

Pitanje 29
29.

This question is worth 2 credits.

What value of x makes the equation shown below true?

\frac{1}{4}\left(3x-8\right)+4=2\left(x - 4\right)

Show your work.

Answer: x =

Pitanje 30
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.

Pitanje 31
31.

This question is worth 3 credits.

Store A and Store B sell fabric for different prices. The equation y = 3.5x represents the price, y, in dollars, for x yards of fabric at Store A. The graph below represents the price for the same type of fabric at Store B.

What is the unit rate for the price of fabric, per yard, at each store?

Store A $ per yard of fabric

Store B $ per yard of fabric

How much more would the price of 9 yards of fabric be at Store A than at Store B?

Show your work.

Answer $