Writing Two-Step Equations from Real-World Scenarios

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 represent a real-world scenario as a two-step equation?

Back

Identify the quantities involved, assign variables, and translate the relationships into an equation.

Front

In the equation 30x + 60 = 180, what does 'x' represent?

Back

In this equation, 'x' represents the number of hours worked by the plumber.

Front

What does the term 'constant' mean in an equation?

Back

A constant is a fixed value that does not change, such as the $60 service fee in the plumbing example.

Front

How do you isolate a variable in a two-step equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation.

Front

What is the first step to solve the equation 20x + 30 = 260?

Back

Subtract 30 from both sides to simplify the equation.

Front

What does the 'x' represent in the equation 75x + 490 = 1090?

Back

In this equation, 'x' represents the number of weeks Abigail deposits money into her bank account.

Front

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

Back

Substitute the value of the variable back into the original equation to see if both sides are equal.

Front

What is the significance of the coefficients in an equation?

Back

Coefficients represent the number of units of the variable, such as the $30 per hour in the plumbing scenario.

Front

In the equation 10 + 5x = 100, what does 'x' represent?

Back

In this equation, 'x' represents the number of days the member used the health club.