A2 MASTER Semester 1 REVIEW

Front

What does the discriminant of a quadratic equation indicate?

Back

The discriminant indicates the nature of the roots of the quadratic equation. If the discriminant is positive, there are two distinct real roots; if it is zero, there is one real root; if it is negative, there are two complex roots.

Front

If the discriminant is 25, how many rational roots does the quadratic equation have?

Back

2 Rational Roots

Front

What is the factored form of a polynomial?

Back

The factored form of a polynomial expresses it as a product of its factors, which can be linear or quadratic expressions.

Front

What is the solution to a system of equations represented graphically?

Back

The solution to a system of equations is the point where the graphs of the equations intersect.

Front

What does a compound inequality represent?

Back

A compound inequality represents two or more inequalities that are combined into one statement, indicating a range of values.

Front

How do you determine the number of roots of a quadratic equation?

Back

You can determine the number of roots by calculating the discriminant (b² - 4ac) of the quadratic equation ax² + bx + c = 0.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex of a quadratic function is the highest or lowest point on the graph, depending on the direction of the parabola.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

What does it mean for roots to be irrational?

Back

Irrational roots are roots that cannot be expressed as a simple fraction; they are non-repeating and non-terminating decimals.

Front

What is the graphical representation of a linear equation?

Back

The graphical representation of a linear equation is a straight line on a coordinate plane.