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 to solve the equation 6z = 49 - z?

Back

Add z to both sides to combine like terms, resulting in 7z = 49.

Front

What is the solution to the equation 7z = 49?

Back

z = 7.

Front

What does it mean to combine like terms in an equation?

Back

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

Front

How do you solve the equation 5 - 2t = 3t?

Back

Add 2t to both sides to get 5 = 5t, then divide by 5 to find t = 1.

Front

What is the solution to the equation 30 + 6t = 11t?

Back

t = 6.

Front

What is the process to solve 7w + 5 = 3w - 15?

Back

Subtract 3w from both sides and then subtract 5 from both sides to isolate w.

Front

What is the solution to the equation 7w + 5 = 3w - 15?

Back

w = 5.

Front

How do you solve the equation 8w - 8 = -4x + 16?

Back

Add 4x to both sides and then add 8 to both sides to isolate w.