BEST: Variables on Both Sides Equations

Front

What is a variable in an equation?

Back

A variable is a symbol, often represented by a letter, that stands for an unknown value in an equation.

Front

What does it mean to solve an equation with variables on both sides?

Back

It means to find the value of the variable that makes both sides of the equation equal, often requiring rearranging the equation.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation.

Front

What is the first step in solving the equation 10x + 9 = 4x - 9?

Back

The first step is to move all terms involving x to one side and constant terms to the other side.

Front

What is the solution to the equation 10x + 9 = 4x - 9?

Back

The solution is x = -3.

Front

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

Back

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

Front

What is the solution to the equation 7x - 11 = 5x + 25?

Back

The solution is x = 18.

Front

What does it mean to have an equation in the form of ax + b = cx + d?

Back

It means that both sides of the equation have terms with the variable x and constant terms, which can be rearranged to solve for x.

Front

What is the solution to the equation 12x - 15 = 3(2x + 3)?

Back

The solution is x = 4.

Front

What is the process to solve the equation 2x = x + 3?

Back

Subtract x from both sides to get x = 3.