High School Mathematics Study Guide
Algebra Basics
Algebra involves solving equations and working with variables.
Key Formulas:
● y = mx + b
● m = (y₂ - y₁) / (x₂ - x₁)
Skills:
● Solve equations
● Graph lines
● Simplify expressions
Functions & Graphing
Functions show relationships between inputs and outputs.
Forms:
● y = mx + b
● y - y₁ = m(x - x₁)
Concepts:
● Domain & range
● Intercepts
● Slope
Exponents
Rules for powers:
● a^m × a^n = a^(m+n)
● (a^m)^n = a^(mn)
● a⁰ = 1
Quadratics
Equations with x².
Formula:
● x = (-b ± √(b² - 4ac)) / 2a
Algebra Basics
Algebra involves solving equations and working with variables.
Key Formulas:
● y = mx + b
● m = (y₂ - y₁) / (x₂ - x₁)
Skills:
● Solve equations
● Graph lines
● Simplify expressions
Functions & Graphing
Functions show relationships between inputs and outputs.
Forms:
● y = mx + b
● y - y₁ = m(x - x₁)
Concepts:
● Domain & range
● Intercepts
● Slope
Exponents
Rules for powers:
● a^m × a^n = a^(m+n)
● (a^m)^n = a^(mn)
● a⁰ = 1
Quadratics
Equations with x².
Formula:
● x = (-b ± √(b² - 4ac)) / 2a
