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 on one side of the equation by moving all terms containing the variable to one side and constant terms to the other side.

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 or constant terms.

Front

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

Back

Isolating a variable means rearranging the equation so that the variable is alone on one side, making it easier to solve for its value.

Front

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

Back

x = -7.

Front

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

Back

You can check your solution by substituting the value 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 result of subtracting 4x from both sides of the equation 10x + 9 = 4x - 9?

Back

The result is 6x + 9 = -9.

Front

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

Back

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 process for solving the equation 5x - 14 = 8x + 4?

Back

First, move 8x to the left side and -14 to the right side, resulting in -3x = 18, then divide by -3 to find x = -6.