Solving Equations with Variables on Both Sides

Front

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

Back

The first step is to isolate the variable terms on one side of the equation by adding or subtracting terms from both sides.

Front

How do you combine like terms in an equation?

Back

You combine like terms by adding or subtracting coefficients of the same variable.

Front

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

Back

Isolating the variable means to manipulate the equation so that the variable is alone on one side, making it easier to solve.

Front

What is the solution to the equation -6y + 17 = 3y - 10?

Back

y = 3.

Front

What is the solution to the equation 7p - 5 = 6p + 8?

Back

p = 13.

Front

What is the solution to the equation 4k + 24 = 6k - 10?

Back

k = 17.

Front

What is the solution to the equation 13y - 18 = -5y + 36?

Back

y = 3.

Front

What is the solution to the equation 4 - 7f = f - 12?

Back

f = 2.

Front

What is the importance of checking your solution in an equation?

Back

Checking your solution ensures that the value satisfies the original equation, confirming it is correct.

Front

What is the principle of balancing equations?

Back

The principle of balancing equations states that whatever you do to one side of the equation, you must do to the other side to maintain equality.