Solving Multi-Step Equations

Front

What is a multi-step equation?

Back

An equation that requires more than one step to solve, often involving operations like addition, subtraction, multiplication, and division.

Front

What is the Distributive Property?

Back

A property that states 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 isolate a variable in an equation?

Back

By performing inverse operations to move all terms containing the variable to one side and constant terms to the other side.

Front

What does it mean to combine like terms?

Back

To simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

What is the first step in solving the equation -8(-8x - 6) = -6x - 22?

Back

Apply the Distributive Property to eliminate the parentheses.

Front

What is the solution to the equation -(8n - 2) = 3 + 10(1 - 3n)?

Back

n = 1/2.

Front

What is the second step in solving a multi-step equation with variables on both sides?

Back

Combine like terms on each side of the equal sign.

Front

What does it mean to move the variable in an equation?

Back

To rearrange the equation so that all terms with the variable are on one side and constants are on the other.

Front

What is the solution to the equation -8(-8x - 6) = -6x - 22?

Back

x = -1.

Front

What is the purpose of using inverse operations in solving equations?

Back

To undo operations and isolate the variable.