Solving 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

What is the first step in solving the equation 5x + 7 = 12?

Back

Subtract 7 from both sides to isolate the term with the variable.

Front

Solve: 2x + 1 = 2x - 1

Back

No Solution

Front

What does it mean if an equation has no solution?

Back

It means that there are no values for the variable that can satisfy the equation.

Front

Back

x = 7

Front

What is the first step to solve the equation 1 + 4n - 6n = 1 - 8n?

Back

Combine the like terms 4n and -6n.

Front

Solve: 5y + 34 = -2(-7y + 1)

Back

y = 4

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 each term inside a parenthesis.

Front

What is the purpose of combining like terms in an equation?

Back

Combining like terms simplifies the equation, making it easier to solve for the variable.

Front

What does it mean to isolate a variable?

Back

To isolate a variable means to manipulate the equation so that the variable is on one side of the equation by itself.