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

To isolate a variable, perform 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 14y + 5 = 8y - 1?

Back

Subtract 8y from both sides to begin isolating y.

Front

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

Back

y = -1.

Front

What is the first step in solving the equation 8b + 10 = 3b + 25?

Back

Subtract 3b from both sides to start isolating b.

Front

What is the solution to the equation 8b + 10 = 3b + 25?

Back

b = 3.

Front

What is the first step in solving the equation 7h = 8h - 5 + 4h?

Back

Combine like terms on the right side.

Front

What is the solution to the equation 7h = 8h - 5 + 4h?

Back

h = 1.

Front

What is the first step in solving the equation 4k + 39 = 7k + 6?

Back

Subtract 4k from both sides to start isolating k.

Front

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

Back

k = 11.