Two-step equations with models

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, typically involving addition or subtraction followed by multiplication or division.

Front

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

Back

To isolate a variable in a two-step equation, perform the inverse operations in reverse order: first, eliminate the constant term by adding or subtracting, then eliminate the coefficient by multiplying or dividing.

Front

What is the first step to solve the equation 4x + 7 = 11?

Back

The first step is to subtract 7 from both sides of the equation to isolate the term with the variable.

Front

What is the solution to the equation 4x + 7 = 11?

Back

The solution is x = 1.

Front

What does it mean for an equation to be true?

Back

An equation is true when both sides of the equation are equal when the variable is replaced with its solution.

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.

Front

What is the value of x in the equation 3x - 3 = 15?

Back

The value of x is 6.

Front

What is the purpose of using models in solving equations?

Back

Models help visualize the relationships between quantities in an equation, making it easier to understand and solve.

Front

What is the inverse operation of addition?

Back

The inverse operation of addition is subtraction.

Front

What is the inverse operation of multiplication?

Back

The inverse operation of multiplication is division.