Algebra 1 Honors Florida EOC Formulas Review

Study Notes

Order of Operations

Use the acronym PEMDAS to remember the sequence: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

Slope

Represents the steepness and direction of a line, calculated as the change in y over the change in x (rise/run).

Slope Intercept Form

The equation of a line in the form Y = mx + b, where m is the slope and b is the y-intercept.

Standard Form

Represents linear equations as Ax + By = C where A and B must be whole numbers.

FOIL Method

A technique used for multiplying two binomials: First, Outer, Inner, Last.

Point Slope Form

A linear equation format represented as y - y1 = m(x - x1), where (x1,y1) is a specific point on the line and m is the slope.

Square of a Sum

The expanded form of (a + b)² is a² + 2ab + b², representing a perfect square trinomial.

Difference of Squares

The result of (a + b)(a - b) is a² - b², showcasing the difference between the squares of two terms.

Axis of Symmetry

A vertical line that divides a parabola into two mirror-image halves, typically found at x = -b/(2a) for quadratic functions.

Quadratic Formula

Used to find the roots of a quadratic equation ax² + bx + c = 0, given by x = (-b ± √(b² - 4ac)) / (2a).

Discriminant

Calculated as b² - 4ac, it determines the nature of the roots of a quadratic equation: positive for two real roots, zero for one real root, and negative for no real roots.

Compound Interest Formula

A = P(1 + r/n)^(nt) where A is the amount, P is the principal, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the time in years.

Exponential Growth

Described by the formula Y = ab^x with b > 1, indicating that the quantity increases over time at a constant percentage rate.

Exponential Decay

Expressed as Y = ab^-x, where b is a base greater than 1, demonstrating a decrease in quantity over time at a constant percentage rate.

Description

Prepare for the Algebra 1 Honors Florida EOC with this set of flashcards designed to help you master essential formulas and concepts. Covering key terms like order of operations, slope, and various forms of equations, this quiz will enhance your understanding and retention of critical mathematical skills.