PSSA 2023 Sampler

The scatter plot shown below 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?

• 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.

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

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.

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 3/2 > 2/3

• The rate for function 2 is greater because 3/2 > 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 y-intercept.

Solve: 3x + 8 = 2(x – 5) + x

• x = -18

• x = 18

• no solutions

• infinitely many solutions

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 = 1/3x

• y = x + 1/3

• y = 3x

• y = x + 3

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

• The slope of the line is -3/2, and the length of the hypotenuse of triangle B is 3 times the length of the hypotenuse of triangle A.

• The slope of the line is -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 -2/3, and the length of the hypotenuse of triangle B is 3 times the length of the hypotenuse of triangle A.

• The slope of the line is -2/3, and the length of the hypotenuse of triangle B is 2 times the length of the hypotenuse of triangle A.

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?

• 
• 
• 
• 

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.

• 3/4

• 1 1/2

• 2 1/4

• 3

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?

• 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 x 4 = 20.