Mathematics Concepts and Problem Solving

This set of flashcards covers key mathematics concepts and problem-solving techniques as discussed in the lecture notes.

Slope Formula

The formula used to calculate the slope of a line, given by m = (y2 - y1)/(x2 - x1).

Difference of Cubes

A mathematical expression of the form a³ - b³, which factors as (a - b)(a² + ab + b²).

Combining Like Terms

The process of simplifying an algebraic expression by adding or subtracting terms that have the same variable raised to the same exponent.

Common Denominator

A common multiple of the denominators of two or more fractions, used to perform addition or subtraction of fractions.

Discriminant

In quadratic equations, the part of the quadratic formula under the square root, given by b² - 4ac, which indicates the nature of the roots.

Factoring Quadratics

The process of expressing a quadratic expression as a product of its linear factors, if possible.