2-step Equations

Front

What is a 2-step equation?

Back

A 2-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 2-step equation?

Back

To isolate a variable in a 2-step equation, perform the inverse operations in the reverse order of operations: first, eliminate the constant term, then eliminate the coefficient of the variable.

Front

What is the first step to solve the equation -3x + 8 = -1?

Back

The first step is to subtract 8 from both sides of the equation to isolate the term with the variable.

Front

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

Back

The solution is t = -3.

Front

What is the second step to solve the equation 7y - 4 = -11?

Back

The second step is to add 4 to both sides of the equation after isolating the variable term.

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 the solution of a 2-step equation?

Back

To check the 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 -2w + 10 = 56?

Back

The solution is w = -23.

Front

What is the first step to solve the equation 3c + 5 = 23?

Back

The first step is to subtract 5 from both sides of the equation.

Front

What is the importance of understanding the order of operations in solving equations?

Back

Understanding the order of operations is crucial because it helps determine the correct sequence of steps to isolate the variable and solve the equation.