Solving Multi-Step Equations with Variables on Both Sides

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve, often involving operations such as addition, subtraction, multiplication, and division.

Front

What does it mean to have variables on both sides of an equation?

Back

Having variables on both sides of an equation means that the variable appears on both the left and right sides of the equation, requiring manipulation to isolate the variable.

Front

How do you isolate a variable in a multi-step equation?

Back

To isolate a variable, you perform inverse operations to move all terms containing the variable to one side of the equation and constant terms to the other side.

Front

What is the first step in solving the equation 3(2k + 3) = -(-7k + 1)?

Back

The first step is to simplify both sides of the equation by distributing the numbers outside the parentheses.

Front

What is the solution to the equation 3(2k + 3) = -(-7k + 1)?

Back

The solution is k = 10.

Front

What does it mean to distribute in an equation?

Back

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

Front

What is the solution to the equation -6(2v + 4) = -8(v - 4)?

Back

The solution is v = -14.

Front

How do you combine like terms in an equation?

Back

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

Front

What is the solution to the equation n + 1 - 3n = 9 - n?

Back

The solution is n = -8.

Front

What is the purpose of checking your solution in an equation?

Back

Checking your solution ensures that the value you found satisfies the original equation.