Hon Alg 2: Semester 1 Practice Final

Front

What is the maximum number of real roots a polynomial function can have?

Back

A polynomial function of degree n can have at most n real roots.

Front

How do you solve an absolute value inequality like |x + 3| > 8?

Back

Split into two cases: x + 3 > 8 and x + 3 < -8, then solve for x.

Front

What are the solutions to the equation |6 - 2k| = 18?

Back

k = -6 or k = 12.

Front

What is the product of two matrices?

Back

To find the product, multiply rows of the first matrix by columns of the second matrix.

Front

How do you find the vertex of a parabola given in vertex form y = a(x - h)^2 + k?

Back

The vertex is the point (h, k).

Front

What does it mean for a function to have 3 real roots?

Back

It means the function intersects the x-axis at three distinct points.

Front

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

Back

The vertex represents the maximum or minimum point of the parabola.

Front

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

Back

Use the discriminant (b^2 - 4ac): if it's positive, there are 2 real roots; if zero, 1 real root; if negative, no real roots.

Front

What is the general form of a quadratic equation?

Back

The general form is y = ax^2 + bx + c.

Front

How do you solve the equation |x - 5| < 3?

Back

Split into two cases: -3 < x - 5 < 3, then solve for x.