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

How do you isolate a variable in a two-step equation?

Back

To isolate a variable, perform the inverse operations in reverse order: first undo addition or subtraction, then undo multiplication or division.

Front

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

Back

Subtract 5 from both sides to get 3c = 18.

Front

What is the solution to the equation 3x - 7 = 32?

Back

Add 7 to both sides to get 3x = 39, then divide by 3 to find x = 13.

Front

How do you write an equation from a word problem?

Back

Identify the quantities involved, assign variables, and translate the relationships into an algebraic equation.

Front

In the equation 4y - 9 = -36, what is the first step to solve for y?

Back

Add 9 to both sides to get 4y = -27.

Front

What does it mean if an equation is false, such as stating y = -4 in 4y - 9 = -36?

Back

It means that substituting -4 for y does not satisfy the equation.

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 solution to the equation x / 2 - 5 = 3?

Back

Add 5 to both sides to get x / 2 = 8, then multiply by 2 to find x = 16.

Front

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

Back

Inverse operations allow you to systematically isolate the variable and solve the equation.