Writing Standard Form Equations

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How do you identify variables in a word problem?

Back

Variables are typically represented by letters (like x and y) and represent unknown quantities that you need to solve for.

Front

What does it mean to write an equation in standard form?

Back

Writing an equation in standard form means rearranging it into the format Ax + By = C.

Front

In the equation 2x + 3y = 240, what do x and y represent?

Back

In this context, x could represent the number of lemonade cups sold, and y could represent the number of orange drinks sold.

Front

How do you solve for one variable in terms of another?

Back

To solve for one variable in terms of another, isolate the variable on one side of the equation.

Front

What is the first step in solving a word problem involving money?

Back

Identify the total amount of money and the cost of each item to set up the equation.

Front

If you sold 18 cups of lemonade and the total sales were $240, how do you find the number of orange drinks sold?

Back

Substitute the number of lemonade cups into the equation and solve for the number of orange drinks.

Front

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

Back

Coefficients represent the cost or quantity associated with each variable in the equation.

Front

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

Back

Identify the quantities involved, assign variables, and express the relationships using mathematical operations.

Front

What does the term 'total sales' refer to in a word problem?

Back

Total sales refer to the sum of money earned from selling items, which can be represented as an equation.