Multi-Step 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 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. It allows you to multiply a single term by each term inside a set of parentheses.

Front

Solve for x: 5x - 6 = 8 - 2x

Back

x = 2

Front

Solve for x: 10x + 9 = 4x - 9

Back

x = -3

Front

Solve for x: \frac{x}{8} = -2

Back

x = -16

Front

Solve for x: 4x - 5x + 9 = 5x - 9

Back

x = 3

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

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

Solve for d: d = \sqrt{(-4-2)^2 + (1-3)^2}

Back

d = \sqrt{40}