A2 Fall Final Exam CUHS 24/25

Front

What is the discriminant of a quadratic equation and what does it indicate about the roots?

Back

The discriminant is given by the formula D = b^2 - 4ac. It indicates the nature of the roots: if D > 0, there are two distinct real roots; if D = 0, there is one real root (a repeated root); if D < 0, there are two complex roots.

Front

How do you write a prediction equation from ordered pairs?

Back

To write a prediction equation from ordered pairs, identify the slope (m) and y-intercept (b) using the formula y = mx + b, where m is calculated as (y2 - y1)/(x2 - x1) from two points (x1, y1) and (x2, y2).

Front

What is a piecewise-defined function?

Back

A piecewise-defined function is a function that is defined by different expressions or formulas for different intervals of the input variable.

Front

How do you write a quadratic equation given its roots?

Back

Front

What is the standard form of a quadratic equation?

Back

Front

How do you solve a quadratic equation using the quadratic formula?

Back

Front

What does it mean for roots to be real and irrational?

Back

Real and irrational roots are roots that can be expressed as non-repeating, non-terminating decimals, and they do not intersect the x-axis at rational points.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.

Front

How do you determine the number of solutions for a quadratic equation?

Back

The number of solutions can be determined using the discriminant: if D > 0, there are 2 solutions; if D = 0, there is 1 solution; if D < 0, there are no real solutions.

Front

What is the relationship between the coefficients of a quadratic equation and its roots?

Back