Writing Linear Equations from Word Problems

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does 'C' represent in the equation C = 2h + 15?

Back

In the equation C = 2h + 15, 'C' represents the total cost to rent a paddle boat for 'h' hours.

Front

How do you identify the fixed cost in a word problem?

Back

The fixed cost is the amount that does not change regardless of the usage or time, often represented as a constant in the equation.

Front

What does 'h' represent in the equation C = 2h + 15?

Back

In the equation C = 2h + 15, 'h' represents the number of hours the paddle boat is rented.

Front

What is the formula for calculating total salary based on hourly wage and tips?

Back

The formula is S = 3h + 0.90d, where S is the total salary, h is hours worked, and d is the total tips earned.

Front

What is the variable 'x' in the equation C = 15 + 0.20x?

Back

In the equation C = 15 + 0.20x, 'x' represents the number of minutes of airtime used.

Front

How do you represent an increase in dimensions in an area equation?

Back

To represent an increase in dimensions, you adjust the variables in the area formula, such as A = lw, to reflect the new dimensions.

Front

What does the equation 20x + 40 = 340 represent?

Back

This equation represents the total fee after x months at Dexter's Gym, including a one-time registration fee and monthly charges.

Front

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

Back

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

Front

How do you convert a word problem into a linear equation?

Back

Identify the quantities involved, determine the relationships between them, and express these relationships using variables and constants.