Two-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

What is the first step to solve the equation -15 = -4y + 5?

Back

Subtract 5 from both sides to isolate the term with the variable.

Front

How do you isolate a variable in an equation?

Back

You isolate a variable by performing inverse operations to both sides of the equation.

Front

What is the solution to the equation (x + 9)/3 = 8?

Back

x = 15.

Front

What is the first step to solve the equation 11 - 3x = 44?

Back

Subtract 11 from both sides.

Front

What operation would you perform to both sides of the equation y/3 - 5 = 2 to isolate y?

Back

Add 5 to both sides.

Front

What is the final step to solve for y in the equation y/3 = 7?

Back

Multiply both sides by 3.

Front

What does it mean to perform inverse operations in solving equations?

Back

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

Front

What is the importance of maintaining balance in an equation?

Back

Maintaining balance ensures that both sides of the equation remain equal after performing operations.

Front

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

Back

Substitute the solution back into the original equation to verify that both sides are equal.