Input/Output Tables

Front

What is an Input/Output Table?

Back

An Input/Output Table is a mathematical tool used to show the relationship between input values (x) and output values (y) based on a specific rule or function.

Front

What does the equation y = 3x represent?

Back

The equation y = 3x represents a linear function where the output (y) is three times the input (x).

Front

How do you find the output value using an equation?

Back

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

Front

If x = 4 in the equation y = 3x, what is y?

Back

y = 3(4) = 12.

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 in a linear equation.

Front

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

Back

The y-intercept (b) is the value of y when x = 0.

Front

How do you determine missing values in an Input/Output Table?

Back

To determine missing values, use the given equation to calculate the output for the corresponding input.

Front

What is the output when x = 8 in the equation y = 8 - \frac{3}{4}x?

Back

When x = 8, y = 8 - \frac{3}{4}(8) = 2.

Front

If y = 7x, what is the output when x = 4?

Back

When x = 4, y = 7(4) = 28.

Front

What are the missing output values for the inputs 2 and 3 in the equation y = 2x + 4?

Back

For x = 2, y = 2(2) + 4 = 8; for x = 3, y = 2(3) + 4 = 10.