Solving Equations with Variable 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 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 to manipulate the equation so that the variable is alone on one side of the equation, making it easier to solve.

Front

What is the solution to the equation 4k + 39 = 7k + 6?

Back

k = 11.

Front

What is the solution to the equation 14y + 5 = 8y - 1?

Back

y = -1.

Front

What is the solution to the equation 25x = 90 - 5x?

Back

x = 3.

Front

What is the solution to the equation 5(3n + 10) = 40n?

Back

n = 2.

Front

What is the solution to the equation 46 - 8p = 19 + p?

Back

p = 3.

Front

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

Back

Checking your solution ensures that the value satisfies the original equation, confirming that it is correct.

Front

What is the principle of balancing equations?

Back

The principle of balancing equations states that you can perform the same operation on both sides of the equation without changing the equality.