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 the variable terms from both sides.

Front

How do you combine like terms in an equation?

Back

You combine like terms by adding or subtracting the 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 -5k + 10 = -2k - 14?

Back

The solution is k = 8.

Front

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

Back

You can check your solution by substituting it back into the original equation to see if both sides are equal.

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 7x - 4 = 3 + 8x?

Back

The solution is x = -7.

Front

What is the significance of the equal sign in an equation?

Back

The equal sign indicates that the expressions on both sides of the equation have the same value.

Front

What is the solution to the equation f - 4 = 6f + 26?

Back

The solution is f = -6.

Front

How do you handle equations that have the same variable on both sides?

Back

You can subtract one side from the other to eliminate the variable from one side.