Writing two step equations from word problems

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to solve for the variable. It typically involves isolating the variable by performing an inverse operation twice.

Front

How do you represent a total cost in a two-step equation?

Back

You can represent total cost by adding fixed costs to variable costs multiplied by the number of items. For example, if a service has a fixed fee and a variable fee per item, the equation would be: Total Cost = Fixed Fee + (Variable Fee per Item * Number of Items).

Front

What does the variable represent in a two-step equation from a word problem?

Back

The variable typically represents an unknown quantity that you are trying to find, such as the number of items, hours worked, or students.

Front

How do you set up a two-step equation from a word problem?

Back

Identify the fixed costs and variable costs, define the variable, and then write an equation that equates the total cost to the sum of fixed and variable costs.

Front

In the equation 12s + 85 = 613, what does 's' represent?

Back

's' represents the number of students who went on the trip.

Front

What is the first step to solve the equation 7x + 35 = 63?

Back

The first step is to subtract 35 from both sides of the equation to isolate the term with the variable.

Front

What is the solution to the equation 4h + 65 = 93?

Back

To solve for h, subtract 65 from both sides to get 4h = 28, then divide by 4 to find h = 7.

Front

How do you interpret the equation y = 15x + 40 in a real-world context?

Back

In this context, 'y' represents the total cost of plumbing services, 'x' represents the number of hours worked, $15 is the hourly rate, and $40 is the service fee.

Front

What does it mean if an equation has a variable on both sides?

Back

It means that you need to simplify the equation by moving all terms involving the variable to one side and constant terms to the other side before solving.

Front

How can you check if your solution to a two-step equation is correct?

Back

You can check your solution by substituting the value of the variable back into the original equation to see if both sides are equal.