Two Step Equations--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 isolate a variable in a two-step equation?

Back

To isolate a variable, perform the inverse operations in the reverse order of how they are applied.

Front

What is the first step in solving the equation 5b - 6 = 24?

Back

The first step is to add 6 to both sides of the equation.

Front

What is the second step in solving the equation 5b - 6 = 24?

Back

The second step is to divide both sides by 5.

Front

How can you represent a real-world scenario with an equation?

Back

You can represent a real-world scenario by identifying the quantities involved and forming an equation based on their relationships.

Front

What does the variable represent in the equation 7x + 35 = 63?

Back

In the equation 7x + 35 = 63, 'x' represents the number of hours worked on cars.

Front

How do you write an equation for a scenario where a total amount is spent?

Back

Identify the fixed costs and variable costs, then set up an equation that sums these costs to equal the total amount spent.

Front

In the equation 0.50x + 20 = 35, what does 'x' represent?

Back

In the equation 0.50x + 20 = 35, 'x' represents the number of ride tickets purchased.

Front

What is the importance of understanding the context of a word problem?

Back

Understanding the context helps in identifying the variables and relationships needed to form the correct equation.

Front

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

Back

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