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 terms from both sides.

Front

How do you combine like terms in an equation?

Back

You combine like terms by adding or subtracting coefficients of the same variable.

Front

What does it mean if an equation has 'all real numbers' as a solution?

Back

It means that any value for the variable will satisfy the equation, indicating that the equation is an identity.

Front

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

Back

x = -3.

Front

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

Back

You substitute the solution back into the original equation to see if both sides are equal.

Front

What is the importance of maintaining balance when solving equations?

Back

Maintaining balance ensures that the equality of the equation is preserved when performing operations on both sides.

Front

What is the process for solving the equation 22 + 2a = 37 + 6 + a?

Back

First, combine like terms on both sides, then isolate 'a' to find a = 21.

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.

Front

What is the solution to the equation 8 - 3a + 12 = 2a?

Back

a = 4.

Front

What is a variable in the context of an equation?

Back

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