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 variable 'm' represent in the equation b = 12(m)?

Back

In the equation b = 12(m), 'm' represents the number of minutes.

Front

How do you determine the relationship between two variables from a table?

Back

You can determine the relationship by identifying how one variable changes in relation to the other, often leading to a linear equation.

Front

What is the independent variable in a table?

Back

The independent variable is the one that you can control or change, usually represented on the x-axis.

Front

What is the dependent variable in a table?

Back

The dependent variable is the one that depends on the independent variable, usually represented on the y-axis.

Front

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

Back

You substitute h with 9: m = 6(9) = 54.

Front

What does the equation y = x + 4 represent?

Back

It represents a linear relationship where for every unit increase in x, y increases by 1, starting from 4.

Front

What is the purpose of a table in mathematics?

Back

A table organizes data to help identify patterns and relationships between variables.

Front

What does the term 'slope' refer to in a linear equation?

Back

Slope refers to the rate of change of the dependent variable with respect to the independent variable.

Front

How can you identify the slope from an equation in the form y = mx + b?

Back

The slope is represented by 'm' in the equation y = mx + b.