Writing Two-Step Equations

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 in the equation.

Front

What is the first step to solve the equation 11x + 6 = 39?

Back

Subtract 6 from both sides to get 11x = 33.

Front

What does the variable 'x' typically represent in application-based problems?

Back

The variable 'x' usually represents an unknown quantity that we are trying to find.

Front

In the equation 65 = 5x + 10, what does the number 65 represent?

Back

The number 65 represents the total number of quarters in John's collection.

Front

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

Back

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

Front

What is the significance of the constant term in a two-step equation?

Back

The constant term represents a fixed value that affects the total outcome of the equation.

Front

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

Back

In this equation, 'x' represents the number of ride tickets Penelope buys.

Front

What is the purpose of writing an equation for a word problem?

Back

Writing an equation helps to translate the problem into a mathematical format that can be solved.

Front

What operation would you perform first to solve the equation 12x + 14 = 50?

Back

First, subtract 14 from both sides to get 12x = 36.