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. It often involves 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 to solve the equation 11 - 3x = 44?

Back

Subtract 11 from both sides to isolate the term with the variable.

Front

Solve for y: 3y + 4y + 6 = 20.

Back

y = 2.

Front

What does it mean to isolate a variable?

Back

Isolating a variable means to manipulate the equation so that the variable is on one side of the equation by itself.

Front

What is the distributive property?

Back

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

Front

Solve for a: 19 + a = -50.

Back

a = -69.

Front

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

Back

h = 2.

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 12 + 5w = 15 + 4w?

Back

w = 3.