8th Grade PSSA Eligible Content 2017

The volume of Jupiter is approximately 10¹⁴ km³ . The volume of Earth is approximately 10¹¹ cubic kilometers. How many planets the size of Earth does it take to equal the volume of Jupiter?

• 10^-3

• 10³

• 10²⁵

• 10¹⁵⁴

The Blue Ridge Mountains are rising at a rate of 1 x 10^-4 feet/year. To determine how many feet the mountains will rise over the next 1 x 10⁶ years, a scientist performs the operation shown: (1 x 10^-4) x (1 x 10⁶).

How many feet will the Blue Ridge Mountains rise over the next 1 x 10⁶ years?

• 0.001

• 0;01

• 10

• 100

Trevor is riding his bicycle for a workout. The graph shows the relationship between the amount of time, in minutes, he rides and the distance, in kilometers, he rides during his 25-minute workout. Based on the graph, which statement about the rate at which Trevor rides during his workout is true?

• Trevor's rate changes from 7.5 km/min to 2.5 km/min.

• Trevor maintains a steady rate of 2 kilometers per 5 minutes during the workout.

• Trevor maintains a steady rate of 2.4 kilometers per 10 minutes during the workout

• Trevor's rate changes from 1 kilometer every 7.5 minutes to 1 kilometer every 2.5 minutes

Davis is comparing the gas mileage from his old car with the gas mileage for his new car. His old car used 19 gallons of gas to travel 323 miles. The graph shown represents the gas mileage of his new car. What is the difference in the gas mileage for the two cars?

• 8 mi/gal

• 11.2 mi/gal

• 17 mi/gal

• 20.5 mi/gal

Line j and line k are graphed on the same coordinate grid.

Line j has a slope of -2/3 and intersects the y-axis at -4.

Line k has a different negative slope than line j and intersects the y-axis above line j.

Which equation could describe line k?

• 
• 
• 
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Luisa is solving an equation on the bottom of a page. The corner of the page where the equation is written is torn off as shown below. Luisa knows only one number was torn off, and she knows that the equation has an infinite number of solutions. What must be the missing number?

• 2

• 14

• 21

• 35

A system of two linear equations is graphed on the coordinate grid shown below. What ordered pair is the solution of the system of equations?

• (0, -4)

• (0, 3)

• (3, -3)

• (3, -1)

Which relation is a linear function with the greatest slope?

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• 
• 
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A parking lot charges a monthly fee plus a charge per day for a car parked in the lot. The graph shows the relationship between the total cost (y), in dollars, and the number of days (x) the car is parked in the lot. Which equation could represent the relationship between the total cost (y), in dollars, and the number of days (x) the car is parked in the lot?

• y = mx

• y = mx + b

• y = x²

• y = x² + b

Which situation can be modeled by the equation y = mx + b?

• The number of butterflies (y) in a population doubles every month (x).

• The time (y) it takes a car to travel 100 miles depends on the speed (x) of the car.

• The volume (y) of a cylindrical tank with a height of 2 feet depends on the radius (x) of the tank.

• The total income (y) of a worker who earns 8 dollars per hour depends on the number of hours worked.