6. Which of the following values is the solution to the equation below?
\[ \frac{2}{3}x+\frac{1}{4}=8\frac{1}{4} \]
7. What is the volume, in cubic inches, of a sphere with a diameter of 10 inches?
(Note: The volume of a sphere, V, with radius r is given by the formula
\[ V=\frac{4}{3}πr³ \]
8. . A rhombus is a quadrilateral with all 4 sides of equal length. Three vertices of a rhombus are graphed in the standard (x,y) coordinate plane below.
One of the following points is the location of the 4th vertex of this rhombus. Which one?
F. (4,−1)
G. (5,−4)
H. (5,−1)
J. (6,−2)
K. (6, 0)
9. For an architecture class project, Lizette is making a scale drawing of Mr. Patel’s classroom, which is rectangular with a width of 25 feet and a length of 30 feet. Lizette draws a 3-inch line segment to represent the width of the rectangle. How long a line segment, in inches, should Lizette draw to represent the length of the rectangle?
10. In the standard (x,y) coordinate plane, a line intersects the y-axis at (0,3) and contains the point (9,4). What is the slope of the line?
