EQUATIONS WITH VARIABLES ON BOTH SIDES

Front

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

Back

It means that the equation contains variables (like x or n) on both the left and right sides, requiring manipulation to isolate the variable.

Front

What is the first step in solving an equation with variables on both sides?

Back

Identify and move all variable terms to one side of the equation by adding or subtracting them.

Front

How do you isolate a variable in an equation?

Back

You perform inverse operations to move constants and coefficients away from the variable until it is alone on one side.

Front

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

Back

To simplify the equation, making it easier to solve for the variable.

Front

What operation would you perform to both sides of the equation to maintain equality?

Back

You can add, subtract, multiply, or divide both sides by the same number.

Front

What is the significance of checking your solution after solving an equation?

Back

To verify that the solution satisfies the original equation, ensuring it is correct.

Front

What does it mean to 'subtract 8 from both sides' in an equation?

Back

It means to take away 8 from both the left and right sides of the equation to maintain balance.

Front

When solving 1 - 2n = 1 - 8n, what is the first step?

Back

Add 2n to both sides to start isolating the variable.

Front

In the equation 1 + 4n = 10 - 14n, what should you do next after moving variables?

Back

Combine like terms to simplify the equation.

Front

What is the result of subtracting 1 from both sides of the equation 1 + 18n = 33?

Back

You get 18n = 32, which can then be solved for n.