Algebra 2 Project Flashcards

Study Notes

Slope and Lines

Slope is defined as "rise over run," representing the steepness of a line on a graph.
Parallel lines are those that are equidistant in the same plane and never intersect.

Polynomials

A monomial is a polynomial comprising a single term.
A binomial consists of two terms, while a trinomial features three terms.
Polynomials are algebraic expressions that contain variables and coefficients, exhibiting various forms depending on the number of terms.

Greatest Common Factor (GCF)

GCF stands for the greatest common factor, which is the largest factor that divides two numbers without leaving a remainder.
Examples of GCF calculations:
- GCF of 24 and 36 is 12.
- GCF of 8 and 14 is 2.
- GCF of 81 and 18 is 9.
- GCF of 12 and 30 is 6.
- GCF of 19 and 20 is 1.

Variables and Linear Concepts

A variable represents any factor in an experiment that can be altered or tested.
A linear equation is characterized by its straight-line graphical representation.

Domain

The term "domain" refers to the set of possible x-values within a function or equation.

Factoring Expressions

Factored forms of polynomials:
- 9x² - 4 factors to (3x + 2)(3x - 2).
- 4x² - 9 factors to (2x + 3)(2x - 3).
- 4x² - 64 factors to (x + 4)(x - 4).
- x² - 81 factors to (x + 9)(x - 9).
- x² - 25 factors to (x + 5)(x - 5).

Description

This quiz covers key concepts in Algebra 2, including definitions of slope, parallel lines, monomials, binomials, and trinomials. Use these flashcards to test your understanding and reinforce your knowledge of basic algebraic terms. Perfect for review and self-assessment.