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 move all terms containing the variable to one side of the equation and constant terms to the other side.

Front

How do you isolate the variable in an equation?

Back

To isolate the variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What does it mean to combine like terms in an equation?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

What is the solution to the equation -5k + 10 = -2k - 14?

Back

The solution is k = 8.

Front

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

Back

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

Front

What is the solution to the equation 5x - 14 = 8x + 4?

Back

The solution is x = -6.

Front

What is the importance of maintaining balance in an equation?

Back

Maintaining balance means that whatever operation you perform on one side of the equation must also be performed on the other side to keep the equation true.

Front

What is the solution to the equation 10x + 9 = 4x - 9?

Back

The solution is x = -3.

Front

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

Back

It means that the variable appears on both sides of the equation, requiring manipulation to isolate the variable.

Front

What is the solution to the equation 7x - 4 = 3 + 8x?

Back

The solution is x = -7.