MultiStep Equations

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 combine like terms in an equation?

Back

To combine like terms, add or subtract the coefficients of terms that have the same variable. For example, in the equation 3y + 4y, you combine to get 7y.

Front

What is the first step in solving the equation 3y + 4y + 6 = 20?

Back

The first step is to combine like terms: 3y + 4y becomes 7y, so the equation simplifies to 7y + 6 = 20.

Front

How do you isolate a variable in an equation?

Back

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

Front

What is the solution to the equation 12 + 5w = 15 + 4w?

Back

The solution is w = 3.

Front

What does it mean to 'solve for x' in an equation?

Back

To 'solve for x' means to find the value of x that makes the equation true.

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 parenthesis.

Front

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

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 0 + 10x = 60 - 2x?

Back

The solution is x = 5.

Front

What is the purpose of simplifying an equation?

Back

Simplifying an equation makes it easier to solve by reducing it to its most basic form.