Solving 2-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 9 + 3x = 10?

Back

Subtract 9 from both sides to isolate the term with the variable: 3x = 1.

Front

What is the solution to the equation 2x - 7 = -23?

Back

Add 7 to both sides to get 2x = -16, then divide by 2 to find x = -8.

Front

How do you solve the equation -3x + 5 = -16?

Back

Subtract 5 from both sides to get -3x = -21, then divide by -3 to find x = 7.

Front

What is the solution to the equation -5t + 9 = 24?

Back

Subtract 9 from both sides to get -5t = 15, then divide by -5 to find t = -3.

Front

How do you solve the equation 7 - 3y = 22?

Back

Subtract 7 from both sides to get -3y = 15, then divide by -3 to find y = -5.

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.