Writing Equations from Tables

Front

What is an equation?

Back

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

Front

What does the ordered pair (x, y) represent in a table?

Back

The ordered pair (x, y) represents a specific point on a graph where 'x' is the input (independent variable) and 'y' is the output (dependent variable).

Front

How do you determine if an ordered pair is a solution to an equation?

Back

Substitute the 'x' value from the ordered pair into the equation and see if the resulting 'y' value matches the 'y' value in the ordered pair.

Front

What is the meaning of the variable 'm' in the equation m = 50w?

Back

In this equation, 'm' represents the total number of words typed, and 'w' represents the number of minutes spent typing.

Front

What does the equation b = 12(m) represent?

Back

This equation represents that the number of bubbles blown (b) is 12 times the number of minutes (m) spent blowing bubbles.

Front

If Greg works 9 hours, how do you calculate his earnings using the equation m = 6h?

Back

Substitute h = 9 into the equation: m = 6(9) = 54. Greg earns $54.

Front

What is the relationship between 'm' and 'd' in the equation m = 8 + d?

Back

This equation shows that Mary's age (m) is 8 years older than David's age (d).

Front

What is a dependent variable?

Back

A dependent variable is a variable whose value depends on the value of another variable, often represented as 'y' in equations.

Front

What is an independent variable?

Back

An independent variable is a variable that stands alone and isn't affected by other variables, often represented as 'x' in equations.

Front

How can you write an equation from a table of values?

Back

Identify the pattern in the table, determine the relationship between the variables, and express that relationship as an equation.