Solving Two Step Equations

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to isolate the variable. It typically involves one addition or subtraction and one multiplication or division.

Front

What is the first step in solving the equation 5x + 3 = 28?

Back

The first step is to subtract 3 from both sides of the equation to eliminate the constant term.

Front

How do you isolate the variable in the equation 2x - 14 = 34?

Back

First, add 14 to both sides to eliminate the constant term, then divide both sides by 2 to isolate x.

Front

What is the solution to the equation 5x + 15 = 0?

Back

The solution is x = -3.

Front

What operation do you perform to both sides of the equation to solve -5x - 2 = 48?

Back

You first add 2 to both sides, then divide by -5 to isolate x.

Front

What does it mean to 'undo' an operation in solving equations?

Back

To 'undo' an operation means to perform the inverse operation to eliminate a term from one side of the equation.

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

When solving the equation 2x - 14 = 34, what is the second step after adding 14 to both sides?

Back

The second step is to divide both sides by 2.

Front

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

Back

It is important to maintain the equality of the equation; whatever you do to one side must be done to the other to keep the equation balanced.