2023 A2 Semester 1 Review

Front

What does the discriminant of a quadratic equation indicate about the roots?

Back

The discriminant indicates the nature of the roots of a quadratic equation. If the discriminant is positive, there are 2 distinct real roots. If it is zero, there is 1 real root (a repeated root). If it is negative, there are 2 complex roots.

Front

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

Back

2 Rational Roots

Front

What does it mean if a system of linear equations has infinitely many solutions?

Back

It means that the two lines represented by the equations are the same line.

Front

Which type of lines do not intersect?

Back

Parallel lines do not intersect.

Front

What is the condition for a linear equation to have no solutions?

Back

A linear equation has no solutions if the lines represented by the equations are parallel.

Front

What is an odd function?

Back

An odd function is a function f(x) that satisfies the condition f(-x) = -f(x) for all x in its domain.

Front

What is the general form of a quadratic equation?

Back

Front

How do you determine if a quadratic equation has complex roots?

Back

A quadratic equation has complex roots if its discriminant is less than zero.

Front

Back

There is no solution, as the equation simplifies to 2 = -4, which is false.

Front

Back

The solution is any value of x, as the equation simplifies to an identity.