Multistep Equations with Variables on both sides

Front

What is a multistep equation?

Back

A multistep 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 of the equation, requiring manipulation to isolate 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 is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a set of parentheses.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power, which can be combined by adding or subtracting their coefficients.

Front

What is the first step in solving the equation f - 4 = 6f + 26?

Back

The first step is to get all terms involving f on one side of the equation and constant terms on the other side.

Front

How do you check your solution for an equation?

Back

To check your solution, substitute the value back into the original equation to see if both sides are equal.

Front

What is the solution to the equation -18 - 6x = 6(1 + 3x)?

Back

The solution is x = 1.

Front

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

Back

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

Front

What is the solution to the equation 4(1 - x) + 3x = -2x - 2?

Back

The solution is x = -6.