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 one of the variables by moving all terms involving that variable to one side of the equation and all 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 on one side and all other terms are on the opposite side.

Front

What is the solution to the equation 12x + 1 = 6x - 47?

Back

x = -8.

Front

What is the solution to the equation 4x - 3 = 6x - 19?

Back

x = 8.

Front

What is the solution to the equation 3x - 32 = -7x + 28?

Back

x = 6.

Front

What is the solution to the equation 11x - 44 = 9x - 20?

Back

x = 12.

Front

What is the solution to the equation 7p - 5 = 6p + 8?

Back

p = 13.

Front

What is the importance of checking your solution in an equation?

Back

Checking your solution ensures that the value you found satisfies the original equation, confirming its correctness.

Front

What is a variable in an equation?

Back

A variable is a symbol, often represented by letters like x or p, that stands for an unknown value in an equation.