Multi Step Equations - Variable On Both Sides

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve, often involving combining like terms, using the distributive property, and isolating the variable.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What does it mean to have variables on both sides of an equation?

Back

Having variables on both sides means that the variable appears in the expressions on both sides of the equal sign, requiring manipulation to solve for the variable.

Front

What is the first step in solving the equation 2 + 14a = -8 + 9a?

Back

The first step is to get all terms involving 'a' on one side and constant terms on the other side.

Front

Solve for a: 2 + 14a = -8 + 9a

Back

a = -2.

Front

What is the solution to the equation 10x + 9 = 4x - 9?

Back

x = -3.

Front

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

Back

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

Front

What is the solution to the equation 7w + 5 = 3w - 15?

Back

w = -5.

Front

What is the purpose of combining like terms in an equation?

Back

Combining like terms simplifies the equation, making it easier to solve.

Front

Solve for p: 14p - 8 = 22 + 20p

Back

p = -5.