Algebra I B Final Exam

Front

What does a positive discriminant indicate about the solutions of a quadratic equation?

Back

A positive discriminant indicates that there are two real solutions to the quadratic equation.

Front

Define 'population' in the context of statistics.

Back

A population is the entire group of individuals or instances about whom we hope to learn.

Front

What is the result of (12x^3y)^2?

Back

The result is 144x^6y^2.

Front

What percentage of males drive sports cars if 65% is the answer?

Back

65% of males drive sports cars.

Front

How do you add the polynomials (3x^3 + 3x^2 - 4x + 5) and (x^3 - 2x^2 + x - 4)?

Back

The sum is 4x^3 + 1x^2 - 3x + 1.

Front

What is the formula for the discriminant of a quadratic equation ax^2 + bx + c?

Back

The discriminant is given by the formula D = b^2 - 4ac.

Front

What does it mean if the discriminant is zero?

Back

If the discriminant is zero, there is exactly one real solution (a repeated root) to the quadratic equation.

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is written in descending order of the degree of its terms.

Front

What is the degree of the polynomial 4x^3 + 2x^2 - x + 7?

Back

The degree of the polynomial is 3.

Front

How do you simplify the expression (x^2 + 2x + 1)(x + 3)?

Back

The simplified expression is x^3 + 5x^2 + 7x + 3.