Multi Step Equations with Variables 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

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

Back

Having variables on both sides of an equation means that the variable appears on both the left and right sides, requiring manipulation to isolate the variable.

Front

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

Back

To isolate a variable, you perform inverse operations to move terms involving the variable to one side of the equation and constant terms to the other side.

Front

What is the first step in solving the equation 8y + 72 = 2y - 36?

Back

The first step is to get all terms involving y on one side and constant terms on the other side, typically by subtracting 2y from both sides.

Front

Solve for y: 8y + 72 = 2y - 36.

Back

y = -18.

Front

What is the solution to the equation 3n - 21 = 2n + 5?

Back

n = 26.

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 6x - 64 = 2x - 44?

Back

x = 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 m: 8m - 88 = 2m - 34.

Back

m = 9.