Write a two-variable equation

Learning Objectives Translate a verbal description of a relationship into a two-variable algebraic equation. Identify the independent and dependent variables from a real-world scenario. Define variables to represent unknown quantities in a problem. Write linear equations in slope-intercept form (y = mx + b) to model situations involving a rate and a starting value. Write linear equations in standard form (Ax + By = C) to model situations involving two quantities that sum to a total. Verify that a created equation correctly models a given situation by testing values. Ever figured out how much a taxi ride will cost before you even get in? 🚕 That's algebra in action, using a two-variable equation! This tutorial is a refresher on a core algebra skill: translating real-wor...

TermDefinitionExample VariableA symbol, typically a letter, used to represent a quantity that can change or is unknown.In a fundraiser, we can use 'n' to represent the number of tickets sold. Independent VariableThe variable that is intentionally changed or controlled in a relationship. It is the 'input' of the equation, often represented by 'x'.In a taxi fare equation, the number of miles driven is the independent variable because it determines the cost. Dependent VariableThe variable whose value depends on the independent variable. It is the 'output' of the equation, often represented by 'y'.In a taxi fare equation, the total cost is the dependent variable because it depends on the number of miles driven. ConstantA fixed value in an equa...

Slope-Intercept Form y = mx + b Use this form when you have a starting amount or fixed fee (b) and a constant rate of change (m). The variable 'x' is the independent variable, and 'y' is the dependent variable. Standard Form Ax + By = C Use this form when you have two different quantities (represented by x and y) that combine to make a fixed total (C). A and B are the rates or values associated with each quantity.