MATH 2 Review for Final: Mixed Practice 1

Front

Identify the vertex of the quadratic function f(x) = -2(x+1)² + 3.

Back

The vertex of the function is (-1, 3).

Front

What is the ratio of 8 to 10?

Back

The correct ratio is 8/10.

Front

In a right triangle, if one leg is 8√2, what is the length of the other leg if the hypotenuse is 8?

Back

The length of the other leg is 8.

Front

Simplify the expression: (3x²y⁻³)³.

Back

The simplified expression is \frac{27x^{6}}{y^{9}}.

Front

What is the angle relationship between two parallel lines cut by a transversal that are on the same side of the transversal?

Back

The angle relationship is called Same Side Interior.

Front

Define a vertex in the context of a quadratic function.

Back

A vertex is the highest or lowest point of a parabola, represented as (h, k) in the vertex form of a quadratic equation.

Front

What is the formula for finding the vertex of a quadratic function in standard form?

Back

The vertex (h, k) can be found using h = -b/(2a) and k = f(h), where f(x) is the quadratic function.

Front

What is the definition of a ratio?

Back

A ratio is a comparison of two quantities, expressed as a fraction or with a colon.

Front

What is the Pythagorean theorem?

Back

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

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form by combining like terms and eliminating unnecessary elements.