SOL 7.12 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.

Front

How do you solve the equation 4x + 22 = -34?

Back

Subtract 22 from both sides to get 4x = -56, then divide by 4 to find x = -14.

Front

What is the first step to solve the equation -5t + 9 = 24?

Back

Subtract 9 from both sides to isolate the term with the variable, resulting in -5t = 15.

Front

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

Back

t = -3.

Front

What are inverse operations?

Back

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

Front

How do you isolate a variable in an equation?

Back

You isolate a variable by using inverse operations to move other terms to the opposite side of the equation.

Front

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

Back

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

Front

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

Back

To 'undo' an operation means to apply the inverse operation to reverse the effect of the original operation.

Front

What is the purpose of using opposite operations in solving equations?

Back

The purpose is to isolate the variable and find its value.

Front

What is the second step in solving the equation 4x + 22 = -34 after isolating the variable term?

Back

Divide both sides by the coefficient of the variable.