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 inverse operations in the reverse order of how they are applied.

Front

What is the first step in solving the equation 2y - 4 = -10?

Back

Add 4 to both sides of the equation.

Front

What is the solution to the equation -2w + 10 = 56?

Back

w = -23.

Front

What is the final step in solving the equation 5b - 6 = 24?

Back

Divide both sides by 5.

Front

What does it mean to perform inverse operations?

Back

Inverse operations are operations that undo each other, such as addition and subtraction or multiplication and division.

Front

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

Back

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

Front

What is the solution to the equation -3x + 5 = -16?

Back

x = 7.

Front

What is the purpose of adding or subtracting a constant in a two-step equation?

Back

To eliminate the constant term from one side of the equation.

Front

What is the purpose of multiplying or dividing by a coefficient in a two-step equation?

Back

To isolate the variable by removing the coefficient.