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 involving 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 principle of equality in solving equations?

Back

The principle of equality states that if you perform the same operation on both sides of an equation, the two sides remain equal.

Front

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

Back

f = -6.

Front

What is the importance of maintaining balance when solving equations?

Back

Maintaining balance ensures that the equality holds true; any operation performed on one side must also be performed on the other side.

Front

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

Back

x = -3.

Front

How do you handle negative coefficients when solving equations?

Back

You can treat negative coefficients like any other number; just remember to apply the rules of arithmetic correctly.