Solving Equations with Variables 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 -6y + 17 = 3y - 10?

Back

Combine like terms by adding 6y to both sides.

Front

What is the solution to the equation 4 - 7f = f - 12?

Back

f = 2.

Front

What does it mean to combine like terms?

Back

To simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

What is the solution to the equation 12 - 5k = k + 6?

Back

k = 1.

Front

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

Back

To verify that the solution satisfies the original equation.

Front

What is the solution to the equation 11z - 5 = 9z + 7?

Back

z = 6.

Front

What is the importance of maintaining balance in an equation?

Back

To ensure that both sides of the equation remain equal after performing operations.

Front

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

Back

p = 13.