Solve 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. Typically, it involves isolating the variable by performing an inverse operation twice.

Front

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

Back

To isolate a variable in a two-step equation, you perform inverse operations in the reverse order of how they are applied. First, eliminate the constant term, then divide or multiply to solve for the variable.

Front

What is the first step to solve the equation 0.4x + 13 = 3?

Back

The first step is to subtract 13 from both sides of the equation to isolate the term with the variable.

Front

What is the solution to the equation 0.4x + 13 = 3?

Back

The solution is x = -25.

Front

What is the first step to solve the equation -1.5x - 14 = -20?

Back

The first step is to add 14 to both sides of the equation to isolate the term with the variable.

Front

What is the solution to the equation -1.5x - 14 = -20?

Back

The solution is x = 4.

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.

Front

How do you check the solution of a two-step equation?

Back

To check the solution, substitute the value of the variable back into the original equation and verify if both sides are equal.

Front

What does it mean to 'solve for x'?

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To 'solve for x' means to find the value of the variable x that makes the equation true.