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.

Front

How do you write an equation from a word problem?

Back

Identify the variables, determine the relationships, and translate the words into mathematical expressions.

Front

What does 'total cost' mean in a rental problem?

Back

Total cost refers to the overall amount paid, including any fixed fees and variable charges based on usage.

Front

In the equation y = 8.5x + 25.5, what does '8.5' represent?

Back

'8.5' represents the hourly charge for renting the car.

Front

In the equation 33 = 2h + 15, what does 'h' represent?

Back

'h' represents the number of hours the boat was rented.

Front

What does 'deposits' mean in rental agreements?

Back

Deposits are upfront payments that may be refunded after the rental period, often used to secure the rental.

Front

How do you isolate a variable in an equation?

Back

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 2x + 6 = -72?

Back

Subtract 6 from both sides to isolate the term with the variable.

Front

What does 'half of a number' mean in algebra?

Back

It means to divide the number by 2, often represented as x/2.

Front

How do you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.