Table of Values

Front

What is a table of values?

Back

A table of values is a mathematical table used to organize pairs of input (x) and output (y) values, often used to represent a function.

Front

How do you find the output value for a given input in a function?

Back

To find the output value, substitute the input value into the function's equation and solve for y.

Front

What does the equation y = x + 4 represent?

Back

This equation represents a linear function where the output (y) is equal to the input (x) plus 4.

Front

What is the slope of the line represented by the equation y = 5x?

Back

The slope is 5, indicating that for every 1 unit increase in x, y increases by 5 units.

Front

How do you determine if an ordered pair (x, y) satisfies a given equation?

Back

Substitute the x value into the equation and check if the resulting y value matches the given y.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the output value when x = 0.

Front

What does the equation y = x - 6 indicate about the relationship between x and y?

Back

It indicates that y decreases by 6 units for every increase of 1 unit in x.

Front

How can you identify a linear function from a table of values?

Back

A linear function will have a constant rate of change between the output values as the input values increase.

Front

What is the output when x = 12 in the equation y = x - 6?

Back

The output is 6, since y = 12 - 6.

Front

What is the ordered pair for x = 3 in the equation y = 6x?

Back

The ordered pair is (3, 18), since y = 6 * 3.