Solving 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 in solving the equation 5x + 7 = 12?

Back

Subtract 7 from both sides of the equation.

Front

After subtracting 7 from both sides of the equation 5x + 7 = 12, what is the next step?

Back

Divide both sides by 5 to isolate x.

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means to manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

Front

What is the solution to the equation 5x + 7 = 12?

Back

The solution is x = 1.

Front

What is the purpose of performing inverse operations in solving equations?

Back

Inverse operations are used to undo the effects of operations applied to the variable, allowing us to isolate it.

Front

What is an example of an inverse operation for addition?

Back

Subtraction is the inverse operation of addition.

Front

What is an example of an inverse operation for multiplication?

Back

Division is the inverse operation of multiplication.

Front

How do you check if your solution to an equation is correct?

Back

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

Front

What is the importance of maintaining balance in an equation when solving?

Back

Maintaining balance ensures that the equality remains true after performing operations on both sides.