Multi-Step Equations (variables on one side)

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve for the variable. It often involves combining like terms, using the distributive property, and isolating the variable.

Front

What does it mean to isolate a variable in an equation?

Back

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

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

How do you combine like terms in an equation?

Back

To combine like terms, you add or subtract the coefficients of terms that have the same variable raised to the same power.

Front

Solve for x: -91 = -6a + 5(1 + 6a)

Back

x = -4

Front

Solve for x: 1 = 6x + 2 - 7x

Back

x = 1

Front

Solve for x: x + 7 + 2 = 1

Back

x = -8

Front

Solve for r: -16 = -8r - 8r

Back

r = 1

Front

Solve for n: -5(1 - 8n) - 4n = -221

Back

n = -6

Front

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

Back

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