Quiz about PSSA 8th Gr Released 2023

Question 1

Simplify without a calculator: $$\sqrt[3]{8}$$

Accepted Answer

2

Answer

3

Answer

4

Answer

5

Question 2

Solve without a calculator: A national park covers approximately $$3x10^5$$ acres of land. A state park covers approximately $$5x10^3$$ 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?

Accepted Answer

60

Answer

6

Answer

17

Answer

167

Question 3

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?

Accepted Answer

multiplying 0 by $$\sqrt[]{2}$$

Answer

multiplying 0 by 2/3

Answer

multiplying 1/2 by $$\sqrt[]{2}$$

Answer

multiplying $$\sqrt[]{2}$$ by $$\sqrt[]{2}$$ ?

Question 4

One number in the list below is a rational number. $$\frac{\sqrt[]{2}}{2}$$ $$\frac{\sqrt[]{6}}{2}$$ $$\frac{\sqrt[]{27}}{15}$$ $$\frac{\sqrt[]{36}}{15}$$ Which number line shows point N located at the value of the rational number?

Accepted Answer

Question 5

Kevin writes the population of his city in the form $$a\ x\ 10^5$$ . He also writes the average income of the people in his city in the form $$b\ x\ 10^4$$ . 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 $$c\ x\ 10^9$$ when written in scientific notation. Which statement explains whether Kevin is correct?

Accepted Answer

Kevin is correct only if ab < 10

Answer

Kevin is correct only if a + b < 10

Answer

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

Answer

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

Question 6

Lily is making cookies. The graph 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?

Accepted Answer

$$2\frac{1}{4}$$

Answer

$$\frac{3}{4}$$

Answer

$$1\frac{1}{2}$$

Answer

3

Question 7

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?

Accepted Answer

Question 8

The graph shows a line and triangles A and B.

Which statement about the graph is correct?

Accepted Answer

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.

Answer

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.

Answer

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.

Answer

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.

Question 9

The graph 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?

Accepted Answer

y = 3x

Answer

y = $$\frac{1}{3}X$$

Answer

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

Answer

y = x + 3

Question 10

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 11

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 12

The graph 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?

Accepted Answer

between 6 and 7 hours

Answer

between 3 and 4 hours

Answer

between 4 and 5 hours

Answer

between 7 and 8 hours

Question 13

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

Accepted Answer

The data show a positive correlation.

Answer

The point (125, 6) is an outlier.

Answer

There is a cluster of data at x = 400.

Answer

The data show a nonlinear association.

PSSA 8th Gr Released 2023

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