AA2 Fall Semester Exam Review 2024

Front

What is the formula for the discriminant in a quadratic equation?

Back

Front

What does the graph of the inequality y ≤ 2x - 1 represent?

Back

It represents all points (x, y) that are below or on the line y = 2x - 1.

Front

What does the symbol < represent in inequalities?

Back

The symbol < means 'less than'.

Front

How do you solve the absolute value equation |2x + 9| = 15?

Back

To solve, set up two equations: 2x + 9 = 15 and 2x + 9 = -15. The solutions are x = 3 and x = -12.

Front

What is the solution set for the compound inequality -20 < -10 + x ≤ 0?

Back

The solution set is -10 < x ≤ 10.

Front

What is the general form of a linear inequality?

Back

A linear inequality can be expressed as ax + b < c, ax + b > c, ax + b ≤ c, or ax + b ≥ c.

Front

What is the significance of the discriminant in determining the nature of roots?

Back

The discriminant (b^2 - 4ac) indicates the nature of the roots: if > 0, two distinct real roots; if = 0, one real root; if < 0, no real roots.

Front

How do you graph a system of linear inequalities?

Back

Graph each inequality as a line, then shade the appropriate region that satisfies all inequalities.

Front

What is the solution to the equation x = -b ± √(b^2 - 4ac) / 2a?

Back

This is the quadratic formula used to find the roots of a quadratic equation.

Front

What does the symbol ≥ represent in inequalities?

Back

The symbol ≥ means 'greater than or equal to'.