Solve Equations with Variables on Both Sides

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 to isolate the variable.

Front

What is the first step in solving the equation 5y + 34 = -2(-7y + 1)?

Back

Distribute the -2 on the right side to simplify the equation.

Front

Back

y = 4

Front

What is the purpose of combining like terms in an equation?

Back

To simplify the equation, making it easier to isolate the variable.

Front

Back

x = 3

Front

What does it mean if an equation has infinite solutions?

Back

It means that any value of the variable will satisfy the equation, often occurring when both sides are equivalent.

Front

Back

x = -6

Front

What is the significance of isolating the variable in an equation?

Back

Isolating the variable allows us to find its value, which is the solution to the equation.

Front

Back

f = 6

Front

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

Back

Forgetting to apply the same operation to both sides of the equation.