Writing Equations

Front

What is the general form of a linear equation representing a total cost based on hourly charges and fixed fees?

Back

y = mx + b, where m is the hourly rate and b is the fixed fee.

Front

How do you translate a verbal expression into an algebraic equation?

Back

Identify the key terms and relationships in the expression and use variables to represent unknowns.

Front

What does the variable 'x' typically represent in equations involving time or quantity?

Back

In these contexts, 'x' usually represents the number of hours, weeks, or units.

Front

How do you isolate a variable in a linear equation?

Back

Use inverse operations to move all terms involving the variable to one side of the equation.

Front

What is the significance of the slope in a linear equation?

Back

The slope represents the rate of change of the dependent variable with respect to the independent variable.

Front

What does it mean to write an equation for a real-world situation?

Back

It involves translating a scenario into a mathematical model using variables and constants.

Front

How can you determine the point of intersection of two linear equations?

Back

Set the equations equal to each other and solve for the variable.

Front

What is the formula for calculating the total cost when given a fixed fee and a variable cost?

Back

Total Cost = Fixed Fee + (Variable Cost per Unit * Number of Units)