Solving Two-Step Equations with Integers

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to isolate the variable and solve for its value.

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 the reverse order of how they are applied to the variable.

Front

What is the first step to solve the equation 2y + 10 = 28?

Back

The first step is to subtract 10 from both sides of the equation.

Front

What is the solution to the equation 4y + 1 = 13?

Back

The solution is y = 3.

Front

In the equation x + 7 = 12, what operation is used to isolate x?

Back

You subtract 7 from both sides of the equation.

Front

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

Back

The solution is c = 6.

Front

What is the second step to solve the equation 4x + 7 = 23 after subtracting 7?

Back

The second step is to divide both sides by 4.

Front

What does it mean to perform inverse operations?

Back

Performing inverse operations means applying the opposite operation to undo the effect of the original operation.

Front

How do you check your solution for a two-step equation?

Back

To check your solution, substitute the value of the variable back into the original equation to see if both sides are equal.

Front

What is the solution to the equation 2y + 10 = 28?

Back

The solution is y = 9.