PSSA Grade 8 Math

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1

What is \sqrt[3]{8}?

2

3

4

5

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1

A national park covers approximately 3\times 10^5 acres of land. A state park covers approximately 5 \times 10^3 acres of land. The land area of the national park is approximately how many times as many acres as the land area of the state park?

6

17

60

167

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1

Brian claims that the product of a rational number and an irrational number is always irrational. Which counterexample proves that Brian's claim is not true?

multiplying 0 by \frac{2}{3}

multiplying 0 by \sqrt{2}

multiplying \frac{1}{2} by \sqrt{2}

multiplying \sqrt{2} by \sqrt{2}

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1

One number in the list below is a rational number.
Which number line shows point N located at the value of the rational number?

null

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1

Solve for x: 7^2 = {x^2} -3^2

\sqrt{10}

\sqrt{20}

\sqrt{42}

\sqrt{58}

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1

Kevin writes the population of his city in the form a \times 10^5. He also writes the average income of the people in his city in the form b \times 10^4. To find the total income for all the people in his city, he multiplies his two values. Kevin says his product will be of the form c \times 10^9 when written in scientific notation. Which statement explains whether Kevin is correct?

Kevin is correct only if ab<10

Kevin is correct only if a+b<10

Kevin is not correct because the exponents are subtracted when multiplying powers with the same base, and 5-4=1.

Kevin is not correct because the exponents are multiplied when multiplying powers with the same base, and 5 \times 4=20.

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1

Lily is making cookies. The graph below shows the linear relationship between the number of cups of butter and the number of cups of sugar she uses.
How many cups of sugar does Lily use for 1 cup of butter?

\frac{3}{4}

1\frac{1}{2}

2\frac{1}{4}

3

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1

Kara uses 4 red lights for every 9 purple lights in an art display. Which graph models the relationship between the number of red lights (x) and the number of purple lights (y) Kara uses?

null

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1

The graph below shows a line and triangles A and B.
Which statement about the graph is correct?

The slope of the line is \frac{-3}{2}, and the length of the hypotenuse of triangle B is \frac{3}{2} times the length of the hypotenuse of triangle A.

The slope of the line is \frac{-3}{2}, and the length of the hypotenuse of triangle B is 2 times the length of the hypotenuse of triangle A.

The slope of the line is \frac{-2}{3}, and the length of the hypotenuse of triangle B is \frac{3}{2} times the length of the hypotenuse of triangle A.

The slope of the line is \frac{-2}{3}, and the length of the hypotenuse of triangle B is 2 times the length of the hypotenuse of triangle A.

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1

The graph below shows the relationship between the time, in hours, and the number of books printed, in thousands, at a book manufacturing company.
Based on the graph, which equation describes the relationship between the time, in hours, and the number of books printed, in thousands?

y=\frac{1}{3}x

y=x+\frac{1}{3}

y=3x

y=x+3

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1

Solve: 3x+8=2(x-5)+x

x=-18

x=18

no solutions

infinitely many solutions

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1

Two functions are represented by the graph and table below.
Which statement about the rate of change for the two functions is true?

The rate for function 1 is greater because \frac{3}{2} > \frac{2}{3}.

The rate for function 2 is greater because \frac{3}{2} > \frac{2}{3}.

The rate for function 1 is greater because it has a greater y-intercept.

The rate for function 2 is greater because it has a greater x-intercept.

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1

The table below represents a function of x.
Which statement about the function is true?

The function is increasing, has a y-intercept of 5, and has a slope of 1.

The function is decreasing, has a y-intercept of 5, and has a slope of 1.

The function is increasing, has a y-intercept of -5, and has a slope of -1.

The function is decreasing, has a y-intercept of -5, and has a slope of -1.

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1

The graph below models the number of people (y) in a library based on the number of hours (x) since the library opened.
Between which two consecutive hours since the library opened does the number of people in the library increase the most?

between 3 and 4 hours

between 4 and 5 hours

between 6 and 7 hours

between 7 and 8 hours

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1

The scatter plot shown below represents the price and number of pages for each 9 paperback books.
Which statement about the prices and numbers of pages for the paperback books represented in the scatter plot is true?

The point (125,6) is an outlier.

There is a cluster of data at x = 400.

The data show a positive correlation.

The data show a nonlinear association.

Some figures are plotted on the coordinate grid shown below.

null

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1

Rounded to the nearest hundredth, what is the length, in units, of line segment PQ?

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1

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1

Explain why figure A is congruent to figure A'.

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1

PSSA Grade 8 Math

What is \sqrt[3]{8}?

A national park covers approximately 3\times 10^5 acres of land. A state park covers approximately 5 \times 10^3 acres of land. The land area of the national park is approximately how many times as many acres as the land area of the state park?

Brian claims that the product of a rational number and an irrational number is always irrational. Which counterexample proves that Brian's claim is not true?

One number in the list below is a rational number.
Which number line shows point N located at the value of the rational number?

Solve for x: 7^2 = {x^2} -3^2

Lily is making cookies. The graph below shows the linear relationship between the number of cups of butter and the number of cups of sugar she uses.
How many cups of sugar does Lily use for 1 cup of butter?

Kara uses 4 red lights for every 9 purple lights in an art display. Which graph models the relationship between the number of red lights (x) and the number of purple lights (y) Kara uses?

The graph below shows a line and triangles A and B.
Which statement about the graph is correct?

The graph below shows the relationship between the time, in hours, and the number of books printed, in thousands, at a book manufacturing company.
Based on the graph, which equation describes the relationship between the time, in hours, and the number of books printed, in thousands?

Solve: 3x+8=2(x-5)+x

Two functions are represented by the graph and table below.
Which statement about the rate of change for the two functions is true?

The table below represents a function of x.
Which statement about the function is true?

The graph below models the number of people (y) in a library based on the number of hours (x) since the library opened.
Between which two consecutive hours since the library opened does the number of people in the library increase the most?

The scatter plot shown below represents the price and number of pages for each 9 paperback books.
Which statement about the prices and numbers of pages for the paperback books represented in the scatter plot is true?

Rounded to the nearest hundredth, what is the length, in units, of line segment PQ?

Explain why figure A is congruent to figure A'.

A set of transformations maps figure A onto figure B.
Explain why one of the transformations must be a dilation.

What is \sqrt[3]{8}?

A national park covers approximately 3\times 10^5 acres of land. A state park covers approximately 5 \times 10^3 acres of land. The land area of the national park is approximately how many times as many acres as the land area of the state park?

Brian claims that the product of a rational number and an irrational number is always irrational. Which counterexample proves that Brian's claim is not true?

One number in the list below is a rational number.
Which number line shows point N located at the value of the rational number?

Solve for x: 7^2 = {x^2} -3^2

Lily is making cookies. The graph below shows the linear relationship between the number of cups of butter and the number of cups of sugar she uses.
How many cups of sugar does Lily use for 1 cup of butter?

Kara uses 4 red lights for every 9 purple lights in an art display. Which graph models the relationship between the number of red lights (x) and the number of purple lights (y) Kara uses?

The graph below shows a line and triangles A and B.
Which statement about the graph is correct?

The graph below shows the relationship between the time, in hours, and the number of books printed, in thousands, at a book manufacturing company.
Based on the graph, which equation describes the relationship between the time, in hours, and the number of books printed, in thousands?

Solve: 3x+8=2(x-5)+x

Two functions are represented by the graph and table below.
Which statement about the rate of change for the two functions is true?

The table below represents a function of x.
Which statement about the function is true?

The graph below models the number of people (y) in a library based on the number of hours (x) since the library opened.
Between which two consecutive hours since the library opened does the number of people in the library increase the most?

The scatter plot shown below represents the price and number of pages for each 9 paperback books.
Which statement about the prices and numbers of pages for the paperback books represented in the scatter plot is true?

Rounded to the nearest hundredth, what is the length, in units, of line segment PQ?

Explain why figure A is congruent to figure A'.

A set of transformations maps figure A onto figure B.
Explain why one of the transformations must be a dilation.

PSSA Grade 8 Math

PSSA Grade 8 Math

What is \sqrt[3]{8}?

A national park covers approximately 3\times 10^5 acres of land. A state park covers approximately 5 \times 10^3 acres of land. The land area of the national park is approximately how many times as many acres as the land area of the state park?

Brian claims that the product of a rational number and an irrational number is always irrational. Which counterexample proves that Brian's claim is not true?

One number in the list below is a rational number.Which number line shows point N located at the value of the rational number?

Solve for x: 7^2 = {x^2} -3^2

Lily is making cookies. The graph below shows the linear relationship between the number of cups of butter and the number of cups of sugar she uses.How many cups of sugar does Lily use for 1 cup of butter?

Kara uses 4 red lights for every 9 purple lights in an art display. Which graph models the relationship between the number of red lights (x) and the number of purple lights (y) Kara uses?

The graph below shows a line and triangles A and B.Which statement about the graph is correct?

The graph below shows the relationship between the time, in hours, and the number of books printed, in thousands, at a book manufacturing company.Based on the graph, which equation describes the relationship between the time, in hours, and the number of books printed, in thousands?

Solve: 3x+8=2(x-5)+x

Two functions are represented by the graph and table below.Which statement about the rate of change for the two functions is true?

The table below represents a function of x.Which statement about the function is true?

The graph below models the number of people (y) in a library based on the number of hours (x) since the library opened.Between which two consecutive hours since the library opened does the number of people in the library increase the most?

The scatter plot shown below represents the price and number of pages for each 9 paperback books.Which statement about the prices and numbers of pages for the paperback books represented in the scatter plot is true?

Rounded to the nearest hundredth, what is the length, in units, of line segment PQ?

Explain why figure A is congruent to figure A'.

A set of transformations maps figure A onto figure B.Explain why one of the transformations must be a dilation.

What is \sqrt[3]{8}?

A national park covers approximately 3\times 10^5 acres of land. A state park covers approximately 5 \times 10^3 acres of land. The land area of the national park is approximately how many times as many acres as the land area of the state park?

Brian claims that the product of a rational number and an irrational number is always irrational. Which counterexample proves that Brian's claim is not true?

One number in the list below is a rational number.Which number line shows point N located at the value of the rational number?

Solve for x: 7^2 = {x^2} -3^2

Lily is making cookies. The graph below shows the linear relationship between the number of cups of butter and the number of cups of sugar she uses.How many cups of sugar does Lily use for 1 cup of butter?

Kara uses 4 red lights for every 9 purple lights in an art display. Which graph models the relationship between the number of red lights (x) and the number of purple lights (y) Kara uses?

The graph below shows a line and triangles A and B.Which statement about the graph is correct?

The graph below shows the relationship between the time, in hours, and the number of books printed, in thousands, at a book manufacturing company.Based on the graph, which equation describes the relationship between the time, in hours, and the number of books printed, in thousands?

Solve: 3x+8=2(x-5)+x

Two functions are represented by the graph and table below.Which statement about the rate of change for the two functions is true?

The table below represents a function of x.Which statement about the function is true?

The graph below models the number of people (y) in a library based on the number of hours (x) since the library opened.Between which two consecutive hours since the library opened does the number of people in the library increase the most?

The scatter plot shown below represents the price and number of pages for each 9 paperback books.Which statement about the prices and numbers of pages for the paperback books represented in the scatter plot is true?

Rounded to the nearest hundredth, what is the length, in units, of line segment PQ?

Explain why figure A is congruent to figure A'.

A set of transformations maps figure A onto figure B.Explain why one of the transformations must be a dilation.

One number in the list below is a rational number.
Which number line shows point N located at the value of the rational number?

Lily is making cookies. The graph below shows the linear relationship between the number of cups of butter and the number of cups of sugar she uses.
How many cups of sugar does Lily use for 1 cup of butter?

The graph below shows a line and triangles A and B.
Which statement about the graph is correct?

The graph below shows the relationship between the time, in hours, and the number of books printed, in thousands, at a book manufacturing company.
Based on the graph, which equation describes the relationship between the time, in hours, and the number of books printed, in thousands?

Two functions are represented by the graph and table below.
Which statement about the rate of change for the two functions is true?

The table below represents a function of x.
Which statement about the function is true?

The graph below models the number of people (y) in a library based on the number of hours (x) since the library opened.
Between which two consecutive hours since the library opened does the number of people in the library increase the most?

The scatter plot shown below represents the price and number of pages for each 9 paperback books.
Which statement about the prices and numbers of pages for the paperback books represented in the scatter plot is true?

A set of transformations maps figure A onto figure B.
Explain why one of the transformations must be a dilation.

One number in the list below is a rational number.
Which number line shows point N located at the value of the rational number?

Lily is making cookies. The graph below shows the linear relationship between the number of cups of butter and the number of cups of sugar she uses.
How many cups of sugar does Lily use for 1 cup of butter?

The graph below shows a line and triangles A and B.
Which statement about the graph is correct?

The graph below shows the relationship between the time, in hours, and the number of books printed, in thousands, at a book manufacturing company.
Based on the graph, which equation describes the relationship between the time, in hours, and the number of books printed, in thousands?

Two functions are represented by the graph and table below.
Which statement about the rate of change for the two functions is true?

The table below represents a function of x.
Which statement about the function is true?

The graph below models the number of people (y) in a library based on the number of hours (x) since the library opened.
Between which two consecutive hours since the library opened does the number of people in the library increase the most?

The scatter plot shown below represents the price and number of pages for each 9 paperback books.
Which statement about the prices and numbers of pages for the paperback books represented in the scatter plot is true?

A set of transformations maps figure A onto figure B.
Explain why one of the transformations must be a dilation.