A sequence of transformations was applied to an equilateral triangle. The transformations used were rotations, reflections and translations. Which statement is true about the resulting figure?

It must be an equilateral triangle with the same side lengths as the original triangle.

It must be an equilateral triangle but the side lengths may differ from the original.

It may be a scalene triangle and all the side lengths may differ from the original triangle.

It may be an obtuse triangle with at least one side the same length as the original triangle.

Figure Q was the result of a sequence of transformations on Figure P, both show in the picture. Which sequence of transformations could take figure P to figure Q?

reflection over the x-axis and translation 7 units right

reflection over the y-axis and translation 3 units down

translation 1 unit right and 180 o rotation about the origin

translation 4 units right and 180 o rotation about the origin

Rectangle R undergoes a dilation with a scale factor 0.5 and then a reflection over the y-axis. The resulting image is Rectangle S. Which statement about Rectangles R and S is true?

They are similar but not congruent.

They are congruent and similar.

They are congruent but not similar.

They are neither congruent nor similar.

The table below shows the cost of different numbers of goldfish at a pet store. The cost is a linear function of the number of goldfish. Which statement describes the rate of change of this function?

The cost increases $0.30 each time 1 goldfish is added.

The cost increases $1.50 each time 1 goldfish is added.

The cost increases $3.00 each time 5 goldfish are added.

The cost increases $6.00 each time 5 goldfish are added.

Madison created two functions. For Function A, the value of y is two less than four times the value of x. The table represents Function B. In comparing the rates of change, which statement about Function A and Function B is true?

Function A has a greater rate of change than Function B has.

Function A and Function B have the same rate of change.

Function A and Function B both have negative rates of change.

Function A has a negative rate of change and Function B has a positive rate of change.

A bicycle club went on a six-hour ride. The graph shows the relationship between the number of hours spent on the trails and the number of miles traveled. Which statement best interprets information provided by the graph?

The club members stopped for a rest during their ride.

The club members rode at a constant speed for the entire ride.

The number of miles traveled increased continuously throughout the ride.

The number of miles traveled increases some of the time and decreased some of the time.

A researcher studied the eyesight of people at different ages. She calculated a vision score for each person in the study and plotted the data on the graph. The researcher used the line y = -0.1x + 110 to model the data. When she substituted the value x = 65 into this equation, what did the result tell her?

the predicted value for the vision score of a 65-year old

the exact value for the vision score of a 65-year old

the minimum possible value for the vision score of a 65-year old

the maximum possible value for the vision score of a 65-year old

Which phrase describes a nonlinear function?

the area of a circle as a function of the radius

the perimeter of a square as a function of the side length

the cost of a gasoline as a function of the number of gallons purchased

the distance traveled by a car moving at a constant speed as a function of time

The scatter plot shows the sizes and annual rents of some office spaces in the downtown area of a city. What would the line of best fit reveal about these data?

There is a strong positive relationship between the cost of rent and the size of the office space.

There is a strong negative relationship between the cost of rent and the size of the office space.

There is a weak positive relationship between the cost of rent and the size of the office space.

There is a weak negative relationship between the cost of rent and the size of the office space.

Solve the following equation.

there are infinitely many solutions

NYS Grade 8 Math Test Review

Authored by Melissa Olmsted

Mathematics

8th Grade

CCSS covered

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MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Slope, in basic terms, is simply...

Rise over run

Run over rise

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CCSS.8.EE.B.5

MULTIPLE CHOICE QUESTION

7.13 x 10^-5

7.13 x 10⁵

7.13 x 10^-4

7.13 x 10⁴

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CCSS.8.EE.A.4

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NYS Grade 8 Math Test Review

Slope, in basic terms, is simply...

The formula for slope is...

In the equation y=mx+b, m is the ____.

In the equation y=mx+b, b is the ____.

When you translate, (x+2,y) will move _____.

When you translate, (x-4,y) will move _____.

0.0000713 converted to scientific notation is ______.

2305684 converted to scientific notation is ______.

The slope of this line is ________.

The slope of this line is ________.

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