Writing Equations from Word Problems

Front

What is the general form of a linear equation used to represent a word problem involving a fixed cost and a variable cost?

Back

The general form is: Fixed Cost + (Variable Cost per unit) * (Number of units) = Total Cost.

Front

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

Back

The fixed cost is the amount that does not change with the number of units produced or sold, often represented as a constant in the equation.

Front

What does the variable 'x' typically represent in equations derived from word problems?

Back

The variable 'x' usually represents the unknown quantity that we are trying to find, such as the number of items, hours, or weight.

Front

In the equation 800 + 5x = 4000, what does '5x' represent?

Back

'5x' represents the total variable cost, where '5' is the cost per book and 'x' is the number of books printed.

Front

How can you isolate the variable in a linear equation?

Back

To isolate the variable, you can perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the first step to solve the equation 3x + 34 = 157?

Back

The first step is to subtract 34 from both sides of the equation to isolate the term with the variable.

Front

What does the term 'application-based questions' refer to in mathematics?

Back

Application-based questions refer to problems that require the application of mathematical concepts to real-world scenarios.

Front

How do you set up an equation from a word problem involving a total weight?

Back

Identify the total weight, the weights of known items, and represent the unknown weights with variables to form an equation.

Front

In the equation x/2 + 19 = 45, what does 'x/2' represent?

Back

'x/2' represents half of the total number of stamps Mei started with.

Front

What is the significance of the constant term in an equation derived from a word problem?

Back

The constant term often represents a fixed quantity or an initial condition in the context of the problem.