Writing Equations from Word Problems

Front

What is the first step in writing an equation from a word problem?

Back

Identify the variables and what they represent in the context of the problem.

Front

How do you represent a total cost in an equation when there is a fixed fee and a variable cost?

Back

Use the equation format: Total Cost = Fixed Fee + (Variable Cost per Unit * Number of Units).

Front

In the equation 2x + 26 = 100, what does 'x' represent?

Back

'x' represents the length of the shorter piece of wood in centimeters.

Front

What does the equation 7x + 35 = 63 represent in a real-world scenario?

Back

It represents the total charge for a car service, where 'x' is the number of hours worked.

Front

How can you express a relationship between two quantities in an equation?

Back

By using variables to represent each quantity and forming an equation that relates them.

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 cost or initial amount that does not change with the variable.

Front

In the equation 20x + 40 = 340, what does 'x' represent?

Back

'x' represents the number of months Dexter has been a member of the gym.

Front

How do you determine the total cost for 'x' people when there is a per-person charge and a delivery fee?

Back

Use the equation: Total Cost = Delivery Fee + (Cost per Person * Number of People).

Front

What does the equation s = 3 + 2p represent in Lisa's shopping scenario?

Back

It represents the number of shirts Lisa purchased in relation to the number of pants she bought.

Front

What is the purpose of defining variables when solving word problems?

Back

Defining variables helps to clarify what each quantity represents, making it easier to form equations.