Multi-Step Equations (Alg I, Alg II, MM)

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

What is the first step to solve the equation: 11 - 3x = 44?

Back

Subtract 11 from both sides to isolate the term with the variable.

Front

What does it mean to distribute in an equation?

Back

To distribute means to multiply a term outside the parentheses by each term inside the parentheses.

Front

Solve for x: 2(x + 4) = 20.

Back

x = 6.

Front

What is the solution to the equation x + 4 = 8?

Back

x = 4.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute the multiplication over addition.

Front

How do you combine like terms in an equation?

Back

You combine like terms by adding or subtracting the coefficients of terms that have the same variable.

Front

What is the purpose of isolating the variable in an equation?

Back

Isolating the variable allows you to solve for its value.

Front

What is the first step in solving the equation -11 + 3(b + 5) = 7?

Back

Distribute the 3 to both terms inside the parentheses.

Front

What does it mean to 'isolate' a variable?

Back

To isolate a variable means to get the variable alone on one side of the equation.