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 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 y: 3y + 4y + 6 = 20

Back

y = 2

Front

Solve for w: 12 + 5w = 15 + 4w

Back

w = 3

Front

What does it mean to isolate a variable?

Back

Isolating a variable means rearranging the equation so that the variable is on one side and all other terms are on the opposite side.

Front

Solve for a: 19 + a = -50

Back

a = -69

Front

Solve for x: 0 + 10x = 60 - 2x

Back

x = 5

Front

What is the first step in solving a multi-step equation?

Back

The first step is to simplify both sides of the equation by combining like terms and using the distributive property if necessary.

Front

Solve for x: 23 - 9x = -56x - 28

Back

x = -1.09