2- and Multi-Step Equations ACC

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to solve for the variable.

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 does it mean to solve an equation?

Back

Solving an equation means finding the value of the variable that makes the equation true.

Front

What is the first step in solving the equation 2x + 6 = 18?

Back

The first step is to subtract 6 from both sides of the equation.

Front

What is the solution to the equation -8x + 3 = 27?

Back

The solution is x = -3.

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than two steps to solve for the variable.

Front

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

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is the solution to the equation -3x + 8 = -1?

Back

The solution is x = 3.

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 two or more terms inside a set of parentheses.

Front

How do you solve the equation 2x + 3(5x - 7) = 47?

Back

First, distribute 3 to (5x - 7), then combine like terms and isolate x.