3-1 Equations with variables on both sides (first step)

Front

What is the first step to solve an equation with variables on both sides?

Back

Identify the variable terms on both sides and decide whether to add or subtract them to isolate one variable.

Front

In the equation 14x + 8 = -3 - 7x, what should you do first?

Back

Add 7x to both sides to combine like terms.

Front

What does it mean to isolate a variable in an equation?

Back

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

Front

What is the first step to solve the equation 6y + 16 = 2y?

Back

Subtract 6y from both sides to move the variable terms to one side.

Front

In the equation -3x + 6 = -8 + 9x, what is the first step?

Back

Add 3x to both sides to combine like terms.

Front

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

Back

To simplify the equation and make it easier to solve.

Front

What is the first step to solve the equation 10 + 2n = 6n + 10?

Back

Subtract 2n from both sides to isolate the variable.

Front

In the equation 9m + 14 = 2m, what should you do first?

Back

Subtract 9m from both sides to move the variable terms to one side.

Front

What is the importance of maintaining balance in an equation?

Back

Any operation performed on one side of the equation must also be performed on the other side to keep the equation true.

Front

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

Back

It means that the equation contains variable terms on both the left and right sides, requiring manipulation to solve.