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 inverse operations in the reverse order of operations used in the equation.

Front

What is the first step to solve the equation 2n + 10 = -2?

Back

Subtract 10 from both sides to isolate the term with the variable.

Front

What is the solution to the equation 3c + 5 = 23?

Back

c = 6, found by first subtracting 5 from both sides and then dividing by 3.

Front

How do you check your solution for an equation?

Back

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

Front

What is the inverse operation of addition?

Back

Subtraction is the inverse operation of addition.

Front

What is the inverse operation of multiplication?

Back

Division is the inverse operation of multiplication.

Front

What is the first step to solve the equation 11 - 3x = 44?

Back

Subtract 11 from both sides to begin isolating the variable.

Front

What is the solution to the equation -6w + 1 = -11?

Back

w = 2, found by first subtracting 1 from both sides and then dividing by -6.

Front

What does it mean to 'solve for a variable'?

Back

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