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. It often involves 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 in more than one term across the equal sign, requiring manipulation to isolate the variable.

Front

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

Back

To isolate a variable, perform inverse operations to both sides of the equation, such as adding, subtracting, multiplying, or dividing, until the variable is alone on one side.

Front

What is the first step in solving the equation 3y + 10.5 = 6.5 + 2.5y?

Back

The first step is to get all terms containing the variable y on one side and constant terms on the other side. This can be done by subtracting 2.5y from both sides.

Front

Solve the equation: 3y + 10.5 = 6.5 + 2.5y. What is y?

Back

y = -8.

Front

What is the solution to the equation -20y + 15 = 2 - 16y + 11?

Back

y = 1/2.

Front

How do you combine like terms in an equation?

Back

Combine like terms by adding or subtracting the coefficients of the same variable or constant terms.

Front

What is the solution to the equation 8y - 56 = -2y - 6?

Back

y = 5.

Front

What is the first step in solving the equation 12k + 15 = 35 + 2k?

Back

The first step is to move all terms involving k to one side by subtracting 2k from both sides.

Front

What is the solution to the equation 12k + 15 = 35 + 2k?

Back

k = 2.