Accuplacer Exam 1 Advanced Algebra and Functions

The area of a penny is approximately 11 square millimeters. Find the circumference of a penny to the nearest tenth of a millimeter. Use 3.14 for \( \pi \).

A circle has an area of 240 square centimeters. Find the radius to the nearest tenth of a centimeter. Use 3.14 for π.

The area of a circular drum top is 175 square inches. Find the diameter to the nearest tenth of an inch. Use 3.14 for \( \pi \).

What is the intersection of two walls in a room?

\(\Delta\)ABC has points A (4, –5), B (0, 2), and C (–1, 8). After a transformation, the points are A’ (–4, 5), B’ (0, –2), and C’ (1, –8). What is the transformation between the points?

Select the right isosceles triangle with the correct lines of symmetry.

Identify the ray(s), line(s), or line segment(s) that intersect at point C.

Which term correctly describes a prime number?

Which number is not a multiple of 11?

How many unique prime factors does 64 have?

Find the radius in meters of a cone with a volume of \( \frac{512}{3} \pi \) cubic meters and a height of 8 meters.

An ice cream cone is filled with ice cream, and then one-half of a spherical scoop of ice cream is added on top of the cone. The diameter of the top of the cone is 8 centimeters, and the height of the cone (not including the half scoop on top) is 6 centimeters. What is the amount of ice cream to the nearest cubic centimeter? Use 3.14 for \( \pi \).

A sphere has a radius of 14 centimeters. Find the volume in cubic centimeters. Use 3.14 for \( \pi \) .

A wedge of cheese is in the shape of a right triangular prism. The area of the base is 30 square inches.

What is the height in inches of the cheese if the volume is 150 cubic inches?

Given the coordinates for a square (-3,-5),(-3,4),(6,4),(6,-5), find the length of each side of the square.

A trapezoid has bases of 8 inches and 12 inches and a height of 6 inches.

Find the area in square inches.

Solve the equation by the quadratic formula.

\(11x^2-14x+4=0\)

Solve the equation by completing the square.

\(x^2+12x+10=0\)

Solve the equation by factoring.

\(x^2+15x+54=0\)

Find the area in square inches of a circular pizza with a diameter of 10.5 inches. Round to the nearest hundredth. Use 3.14 for π.