Multi Step Equations: 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 combining like terms, using the distributive property, and isolating the variable.

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 in more than one part 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 both sides of the equation, aiming to get the variable alone on one side.

Front

What is the first step in solving the equation 5x - 29 = 49 + 2x?

Back

The first step is to get all terms containing the variable on one side and constant terms on the other side, which can be done by subtracting 2x from both sides.

Front

Solve for x: 5x - 29 = 49 + 2x.

Back

x = 26.

Front

What is the solution to the equation 9b + 1 = 2b + 29?

Back

b = 4.

Front

What is the importance of combining like terms in multi-step equations?

Back

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

Front

How do you solve the equation 6x + 3 = 8x - 21?

Back

First, subtract 6x from both sides to get 3 = 2x - 21, then add 21 to both sides to find x.

Front

What is the solution to the equation 7x + 60 = 5x + 120?

Back

x = 30.

Front

What is the process to solve 250 + 16h = 210 + 18h?

Back

Subtract 16h from both sides to get 250 = 210 + 2h, then isolate h.