8th Grade Quiz Bowl 2022~ Round 2

The points given on the coordinate grid represent locations of a two boats and a buoy. Each unit represents a yard on the coordinate grid.

Boat 1: (10, 1)

Buoy: (10, 20)

Boat 2: (3, 20)

Which best represents the shortest distance between boat 1 and boat 2? Round to the nearest hundredth of a yard.

• 8.25 yards

• 17.66 yards

• 19.18 yards

• 20.25 yards

Amy is filling cone-shaped chocolate molds. The mold has a diameter of 1.5 inches and a height of 3 inches. If one cubic inch is about 0.55 ounces, how many ounces will 12 chocolates weigh? Use 3.14 for pi, and round to the nearest tenth of an ounce.

• 11.7 ounces

• 38.5 ounces

• 46.6 ounces

• 154.1 ounces

The graph of a function is shown. Which statement is FALSE?

• The graph is decreasing between x=-6 and x=-4.

• The graph is linear between x=0 and x=4.

• The graph is increasing between x=-6 and x=-4.

• The graph is increasing between x=4 and x=7.

The vertices of quadrilateral LMNO are located at (-6, 4), (-6, 7), (-4, 7), and (-4, 4). Which coordinates are the vertices of image L'M'N'O' after LMNO has been rotated 270 degrees counterclockwise about the origin?

• (-4, -6), (-7, -6), (-7, -4), (-4, -4)

• (6, -4), (6, -7), (4, -7), (4, -4)

• (4, 6), (7,6), (7, 4), (4, 4)

• (6,4), (6,7), (4,7), (4,4)

Given the equation 2(8x + 5) = 5(3x + 2) , which statement is true?

• The equation has no solutions.

• The equation has a solution of zero.

• The equation has a solution of 1.

• The equation has infintely many solutions.

What was the price of admission for the carnival?

• $7.50

• $8.25

• $9.25

• $1.75

Which of the following is irrational?

A linear equation is graphed on the coordinate plane shown. When graphed on the same coordinate plane, which equation results in a system of equations with no real solutions?

• 2x - y = -1

• 4x - 2y = 6

• 2x + 3y = 3

• 2x - 2y = -1

Two parallel lines are cut by transversal, t. The measures of two angles formed are given in the diagram. What is the measure of the angle 2x?

• 32 degrees

• 64 degrees

• 96 degrees

• 116 degrees

Adding which of the following points would make the graph no longer a function?

• (-8, 4)

• (10, 2)

• (8, 6)

• (4, -1)