Geometry and Algebra Concepts

This video tutorial covers various geometry topics in preparation for the EOC exam. It begins with calculating the area of a trapezoid using a given formula, followed by adding polynomials and combining like terms. The tutorial then explores finding a missing side of a triangle using perimeter and solving for the perimeter of a quadrilateral using the distance formula. It also includes calculating the volume of pools and comparing their sizes, finding the midpoint and equation of a perpendicular line, and determining the perimeter of a triangle. Finally, it discusses using population density to find the area of a country.

What is the formula for the area of a trapezoid?

• A = l * w

• A = b * h

• A = π * r^2

• A = 1/2 * h * (b1 + b2)

If you have the expression -3x^2 - 7x + 9, what is the result when you add -5x^2 + 6x - 4?

• -8x^2 + x + 5

• -8x^2 - x - 5

• -8x^2 - x + 5

• -8x^2 + x - 5

Which expression is equivalent to 3x^5 + 17x^3 - 1 - 2x^5 - 6?

• x^5 + 17x^3 - 7

• x^5 - 17x^3 + 7

• x^5 + 17x^3 + 7

• x^5 - 17x^3 - 7

What is the expression for the missing side length if the perimeter is x^2 + 5x + 11?

• x^2 + 25

• x^2 + 20

• x^2 + 10

• x^2 + 15

Which method can be used to find the perimeter of a quadrilateral?

• Circumference formula

• Volume formula

• Area formula

• Distance formula

What is the volume formula for a cylinder?

• V = 4/3 * π * r^3

• V = l * w * h

• V = π * r^2 * h

• V = 1/3 * π * r^2 * h

If a pool has a volume of 108π and another has 144π, what percentage of the first pool's volume does the second pool hold?

• 132%

• 133%

• 130%

• 131%

What is the radius of a cylinder if its diameter is 6?

• 9

• 3

• 6

• 12

How do you calculate the volume of a cylinder with a radius of 3 and height of 18?

• 508.68

• 509.68

• 509.9

• 508.9

What is the formula to find the midpoint of a line segment?

• (x1 - x2, y1 - y2)

• (x1 + x2, y1 + y2)

• ((x1 + x2)/2, (y1 + y2)/2)

• ((x1 - x2)/2, (y1 - y2)/2)