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 reverse order: first eliminate the constant term, then the coefficient of the variable.

Front

What is the first step to solve the equation x/7 - 2 = 8?

Back

Add 2 to both sides of the equation to eliminate the constant term.

Front

What is the solution to the equation 13 = 5m - 2?

Back

The solution is m = 3.

Front

How do you solve the equation (x/4) + 8 = 10?

Back

Subtract 8 from both sides, then multiply by 4 to isolate x.

Front

What is the value of t in the equation 2t - 7 = 3?

Back

The value of t is 5.

Front

How do you solve the equation 3c + 5 = 23?

Back

Subtract 5 from both sides, then divide by 3 to find c.

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

Why is it important to perform the same operation on both sides of an equation?

Back

Performing the same operation on both sides maintains the equality of the equation.