8th Grade EOG 2019 Released Questions 1

A light year is defined as the distance light travels in one year. One light year is 9.46 × 10¹² kilometers. A galaxy is about 150,000 light years wide. About how many kilometers wide is the galaxy?

• 1.419 × 10¹⁶

• 1.419 × 10¹⁷

• 1.419 × 10¹⁸

• 1.419 × 10¹⁹

Rectangle JKLM is shown. To the nearest tenth of a centimeter, what is the distance from J to M?

• 5.0 cm

• 10.2 cm

• 15.3 cm

• 21.0 cm

The value in dollars, y, of a car x years after it was purchased can be modeled by the function y = 14,000 – 875x. What is the meaning of the y-intercept of the linear model?

• The initial value of the car is $14,000.

• The average value of the car is $14,000.

• The car’s value decreases by $875 each year after it was purchased.

• The car’s value decreases by $16 each year after it was purchased.

Alexis has a cylindrical trash can with a diameter of 24 cm and a height of 42 cm. What is the approximate volume of the can?

• 1,008 cm³

• 3167 cm³

• 19,000 cm³

• 76,000 cm³

Which equation best models the data shown in the scatterplot above?

• y = 3x + 10

• y = 3x + 60

• y = 4x + 5

• y = 4x + 35

In which choice is y a function of x?

• (1, 3), (3, 4), (4, 5), (5, 6)

• (2, 0), (2, 3), (4, 5), (6, 7)

• (2, 5), (4, 8), (6, 10), (2, 12)

• (6, 2), (4, 1), (6, 8), (8, 10)

Carly went for a walk and jog.

• She started walking.

• After a few minutes, Carly began jogging at a faster speed than she was walking.

• Carly then got tired and slowed down to a slower speed than she was jogging.

Which graph best represents the distance Carly we

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In the figure, JLK is a right triangle, point P is the midpoint of side JK, and segment PQ is parallel to segment JL.

The length of segment PK is 4 units and the length of segment PQ is 2 units. What is the approximate perimeter of shaded triangle PQL?

• 10.0 units

• 9.5 units

• 9.0 units

• 8.5 units

A car rental company charges $34 per day for a rented car and $0.50 for every mile driven. A second car rental company charges $20 per day and $0.75 for every mile driven. What is the number of miles at which both companies charge the same amount for a one-day rental?

• 56 miles

• 54 miles

• 36 miles

• 24 miles

A cylindrical barrel has a height of 8 feet and a diameter of 6 feet. What is the approximate volume of the barrel?

• 151 cubic feet

• 226 cubic feet

• 603 cubic feet

• 905 cubic feet