Equations, Tables, and Graphs Review

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.

Front

What are ordered pairs?

Back

Ordered pairs are pairs of numbers used to represent a point in a coordinate system, written in the form (x, y).

Front

What is the independent variable in a function?

Back

The independent variable is the variable that is manipulated or changed in an experiment or equation, often represented as 'x'.

Front

What is the dependent variable in a function?

Back

The dependent variable is the variable that depends on the value of the independent variable, often represented as 'y'.

Front

How do you find the value of y in the equation y = 3x + 1 when x = 5?

Back

y = 3(5) + 1 = 15 + 1 = 16.

Front

What does the slope of a line represent in a graph?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is a function?

Back

A function is a relation that assigns exactly one output (y) for each input (x).

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

If y = 4x - 2, what is y when x = 2?

Back

y = 4(2) - 2 = 8 - 2 = 6.

Front

What is a table of values?

Back

A table of values is a chart that shows pairs of input (x) and output (y) values for a function.