Writing Standard Form Equations

Front

What is a standard form equation?

Back

A standard form equation is a linear equation written in the form Ax + By = C, where A, B, and C are integers, and A and B are not both zero.

Front

How do you write an equation for a word problem involving money?

Back

Identify the variables for the quantities involved, express the total amount as an equation, and use the prices of the items to form the equation.

Front

What does the variable 'd' represent in the context of dimes?

Back

In the context of money problems, 'd' typically represents the number of dimes.

Front

What does the variable 'q' represent in the context of quarters?

Back

In the context of money problems, 'q' typically represents the number of quarters.

Front

How do you convert the total amount of money into cents for an equation?

Back

Multiply the dollar amount by 100 to convert it into cents. For example, $3.80 becomes 380 cents.

Front

What is the equation for the total sales of lemonade and orange drinks?

Back

The equation is 2x + 3y = 240, where x is the number of lemonade cups and y is the number of orange drinks.

Front

How do you determine the number of items sold from an equation?

Back

Substitute the known values into the equation and solve for the unknown variable.

Front

What is the significance of the coefficients in a standard form equation?

Back

The coefficients represent the number of each type of item in the context of the problem.

Front

How do you set up an equation for a problem involving ticket sales?

Back

Identify the price of each type of ticket and the total revenue, then express this relationship as an equation.

Front

What does the variable 'x' typically represent in a ticket sales problem?

Back

In ticket sales problems, 'x' often represents the number of tickets sold at a higher price.