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

What is the first step to solve an equation with variables on both sides?

Back

Identify and collect like terms by moving all variable terms to one side of the equation.

Front

How do you isolate a variable in an equation?

Back

Perform inverse operations to both sides of the equation until the variable is alone.

Front

What does it mean to 'collect like terms'?

Back

Combining terms that have the same variable raised to the same power.

Front

What operation is performed to both sides of the equation to maintain equality?

Back

Any operation (addition, subtraction, multiplication, or division) can be performed as long as it is done to both sides.

Front

What is the solution to the equation 5x + 9 = 2x - 3?

Back

x = -4.

Front

What is the next step after simplifying 14x + 8 = -3 - 7x?

Back

Collect the variables (letters) on the left side.

Front

What is the solution to the equation 4(x - 2) = -3 + 5x?

Back

x = -5.

Front

What is the first step to solve the equation 11 - 3x = 44?

Back

Subtract 11 from both sides.

Front

What does it mean to perform an operation on both sides of an equation?

Back

It means to apply the same mathematical operation to both sides to keep the equation balanced.