6.6C - Algebraic Representations

Front

What is an algebraic representation?

Back

An algebraic representation is a mathematical expression that uses symbols and letters to represent numbers and relationships between quantities.

Front

What does the variable 'y' typically represent in an equation?

Back

In an equation, 'y' usually represents the dependent variable, which depends on the value of 'x'.

Front

What does the variable 'x' typically represent in an equation?

Back

In an equation, 'x' usually represents the independent variable, which can be changed or controlled.

Front

What is the equation of a line that passes through the origin with a slope of 2?

Back

y = 2x

Front

What is the slope in the equation y = mx + b?

Back

The slope (m) represents the rate of change of y with respect to x.

Front

What does it mean for a relationship to be additive?

Back

An additive relationship means that the output increases by a constant amount as the input increases.

Front

What is a dependent quantity?

Back

A dependent quantity is a variable whose value depends on another variable, typically represented as 'y'.

Front

What is an independent quantity?

Back

An independent quantity is a variable that can be changed freely, typically represented as 'x'.

Front

How do you determine the equation of a line from a graph?

Back

To determine the equation of a line from a graph, identify the slope and the y-intercept.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept (b) is the value of y when x is 0, representing where the line crosses the y-axis.