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

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 22 + 54x = -20 + 60x?

Back

Subtract 54x from both sides to begin isolating x.

Front

What is the solution to the equation 8 + 9.8x + q = 3.8x - 16 + 3.8x?

Back

x = -15.

Front

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

Back

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

Front

What does it mean if an equation has no solution?

Back

It means that there is no value for the variable that can satisfy the equation.

Front

What is the solution to the equation -5x - 16 = 8x - 3?

Back

x = -1.

Front

What is the importance of showing all work when solving equations?

Back

It helps to track your steps, identify mistakes, and understand the process.

Front

Back

x = 8.

Front

What is a common mistake when solving equations with variables on both sides?

Back

Forgetting to perform the same operation on both sides of the equation.