Multi Step Equations with Variables on Both Sides

Front

What is a multi-step equation?

Back

An equation that requires more than one step to solve, often involving combining like terms and isolating the variable.

Front

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

Back

It 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

By performing inverse operations to move terms involving the variable to one side and constants to the other.

Front

What is the first step in solving the equation 9b + 1 = 2b + 29?

Back

Subtract 2b from both sides to begin isolating the variable b.

Front

Solve for b: 9b + 1 = 2b + 29.

Back

b = 4.

Front

What is the goal of solving equations?

Back

To find the value of the variable that makes the equation true.

Front

What is the solution to the equation 3y + 10.5 = 6.5 + 2.5y?

Back

y = -8.

Front

How do you check if your solution to an equation is correct?

Back

By substituting the solution back into the original equation to see if both sides are equal.

Front

What is the solution to the equation 6x + 5 = 10 + 5x?

Back

x = 5.

Front

What does it mean to combine like terms?

Back

To add or subtract terms that have the same variable raised to the same power.