Algebra 1 Final Study Guide

Comprehensive vocabulary and formula-based flashcards for Algebra 1 final exams, covering linear equations, statistics, functions, and quadratics.

Slope formula

$$m = \frac{y_2 - y_1}{x_2 - x_1}$$

Positive slope

Directon of a line that goes up.

Negative slope

Direction of a line that goes down.

Zero slope

A line that is flat.

Undefined slope

A line that is vertical.

Slope-intercept form

$$y = mx + b$$

m (in Slope-intercept form)

The slope of the line.

b (in Slope-intercept form)

The y-intercept.

Point-slope form

$$y - y_1 = m(x - x_1)$$

Systems of equations

Can be solved by three methods: graphing, substitution, or elimination.

Mean

$$\text{sum} + \text{number of values}$$

Median

The middle value in a set of data.

Mode

The most frequent value in a set of data.

Range (Statistics)

$$\text{largest} - \text{smallest}$$

Correlation types

Can be Positive, negative, or none.

Function

A relation where each input has only one output.

Domain

The set of $x$ values.

Range (Functions)

The set of $y$ values.

Function notation

$$f(x)$$

Exponential Growth

$y = a(b)^x$ where $b > 1$

Exponential Decay

An exponential function where $0 < b < 1$

Percent growth formula

$$y = a(1 + r)^x$$

Standard form (Quadratic)

$$y = ax^2 + bx + c$$

Vertex form

$$y = a(x - h)^2 + k$$

Vertex

The point $(h, k)$

Factoring

The process of finding two numbers that multiply and add correctly.

Zero product

The process of setting each factor to $0$.

Axis of symmetry

$$x = \frac{-b}{2a}$$

Quadratic formula

$$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$