PSSA Item Sampler 8th Grade Math 2018-2019

Without a calculator, which number is the closest approximation of  $\sqrt{39}$  ?

• 6.2

• 6.5

• 7.5

• 7.7

Which number is irrational?

•  $3\sqrt{9}$  

•  $9\sqrt{3}$  

•  $4\sqrt{9}$  

•  $9\sqrt{4}$  

Four numbers are shown below:
 $\pi\ \ \ \ \ \sqrt{\pi}\ \ \ \ \ \sqrt{3}\ \ \ \ \ \sqrt{8}$  
What is the order of the four numbers from least to greatest?

•  $\pi\ \ \ \ \ \sqrt{\pi}\ \ \ \ \ \sqrt{3}\ \ \ \ \ \sqrt{8}$  

•  $\sqrt{3}\ \ \ \ \ \sqrt{\pi}\ \ \ \ \ \pi\ \ \ \ \sqrt{8}$  

•  $\sqrt{\pi}\ \ \ \ \ \sqrt{3}\ \ \ \ \ \pi\ \ \ \ \ \sqrt{8}$  

•  $\sqrt{3}\ \ \ \ \ \sqrt{\pi}\ \ \ \ \ \sqrt{8}\ \ \ \ \ \pi$  

Four points are graphed on the number line.

Which point is located closest to the value of -√5?

• point W

• point X

• point Y

• point Z

The average distances between some objects in our solar system are described below.

The average distance from Earth to the Moon is 3.844 x 10⁵ kilometers (km).

The average distance from Jupiter to the Sun is approximately

2 x 10³ times the average distance from Earth to the Moon.

Based on this information, what is the average distance from Jupiter to the Sun?

• 7.688 x 10²

• 7.688 x 10⁵

• 7.688 x 10⁸

• 7.688 x 10¹⁵

A system of two linear equations is represented by the graph. Which statement about the solution of the systems of equations is true?

• (0, 0) is the only solution.

• (3, 2) is the only solution.

• (0, 0) and (3, 2) are both solutions.

• (0, 0), (0, 6), and (3, 2) are all solutions.

Paul and Jacklyn are on a swim team.

Paul has completed 140 laps so far this season. He completes an additional 12 laps during each practice.

Jacklyn has completed 56 laps so far this season. She completes an additional 16 laps during each practice.

Paul and Jacklyn each attend the same number of practices. After how many more practices will Paul and Jacklyn have completed the same number of laps?

• 3

• 7

• 21

• 49

Three functions of x are shown.

For the function with the greatest rate of change, what is its value when x = 10?

• 13

• 17

• 25

• 28

The set of ordered pairs represents a relation.

{(0, 2), (1, 3), (1, 4), (2, 5), (3, 5)}

Which statement about the relation is true?

• The relation is a function.

• The relation is not a function, but removing (1, 3) and replacing it with (2, 6) would make the new relation a function.

• The relation is not a function, but removing (1, 4) and replacing it with (4, 1) would make the new relation a function.

• The relation is not a function, but removing (3, 5) and replacing it with (3, 6) would make the new relation a function.

A carpenter is building cabinets. For each cabinet, she needs 8 sets of supplies. At store A, each set of supplies costs $3.75. The total cost (y), in dollars, of the supplies she needs to buy at store A to build x cabinets is represented by the equation shown below.

y = 8(3.75x)

At store B, the total cost (y), in dollars, of the supplies she needs to buy to build x cabinets is represented by the graph shown.

The carpenter spends a total of $180 on supplies. To which store did the carpenter go for supplies, and how many cabinets can she build?

• The carpenter went to store A, and she can build 6 cabinets.

• The carpenter went to store A, and she can build 15 cabinets.

• The carpenter went to store B, and she can build 5 cabinets.

• The carpenter went to store B, and she can build 6 cabinets.