Semester 1 Final Review #2

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

Back

Front

What is the formula for the volume of a cone?

Back

The volume V of a cone is given by the formula V = (1/3)πr²h, where r is the radius of the base and h is the height.

Front

How do you find the volume of a cone with a radius of 3 cm and a height of 5 cm?

Back

V = (1/3)π(3)²(5) = 15π cm³ ≈ 47.1 cm³.

Front

What does it mean for angles to be congruent?

Back

Congruent angles are angles that have the same measure.

Front

If angle 6 measures 50 degrees, what are the measures of angles congruent to angle 6?

Back

Angles congruent to angle 6 also measure 50 degrees.

Front

What is relative frequency?

Back

Relative frequency is the ratio of the number of times an event occurs to the total number of trials or observations.

Front

How do you calculate the relative frequency of students who like Greek food but do not like German food?

Back

Relative frequency = (Number of students who like Greek food but not German food) / (Total number of students surveyed).

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): c² = a² + b².

Front

Find the length of the diagonal of a rectangle with length 15 feet and width 8 feet using the Pythagorean theorem.

Back