Solving Equations with Variable on Both Sides

Front

What is an equation with variables on both sides?

Back

An equation that contains variables on both the left and right sides, requiring manipulation to isolate the variable.

Front

How do you isolate a variable in an equation?

Back

By performing inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the first step in solving the equation 46 - 8p = 19 + p?

Back

Combine like terms by moving all terms involving 'p' to one side and constant terms to the other.

Front

Solve: 46 - 8p = 19 + p

Back

p = 3

Front

What does it mean to combine like terms?

Back

To add or subtract terms that have the same variable raised to the same power.

Front

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

Back

x = 3

Front

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

Back

To verify that the solution satisfies the original equation and is correct.

Front

Solve: 6a = 60 + 36a

Back

a = -2

Front

What is the process of moving terms from one side of an equation to the other called?

Back

Transposing or rearranging the equation.

Front

Solve: 4k + 39 = 7k + 6

Back

k = 11