Solving Equations with Variables on Both Sides

Front

What is the first step in solving 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.

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, allowing you to solve for its value.

Front

What is the solution to the equation 5x + 15 = 10x - 40?

Back

x = 11.

Front

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

Back

You substitute the solution back into the original equation to see if both sides are equal.

Front

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

Back

f = 2.

Front

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

Back

y = 3.

Front

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

Back

y = 3.

Front

What is the solution to the equation 11z - 5 = 9z + 7?

Back

z = 6.

Front

What is the importance of maintaining balance when solving equations?

Back

Maintaining balance ensures that any operation performed on one side of the equation is also performed on the other side, keeping the equation true.