Equations with Variable on Both Sides

Front

What is an equation with variables on both sides?

Back

An equation where the variable appears on both the left and right sides, requiring manipulation to isolate the variable.

Front

How do you check if a number is a solution to an equation?

Back

Substitute the number into the equation and see if both sides are equal.

Front

What is the first step to solve the equation 3x + 8 - x = 5x - 4?

Back

Combine like terms on both sides of the equation.

Front

What does it mean to isolate the variable in an equation?

Back

To manipulate the equation so that the variable is alone on one side, making it easier to solve.

Front

Solve for a: 2a + 4 = 7 + a

Back

a = 3.

Front

What is the solution to the equation -11 + 3(b + 5) = 7?

Back

b = 1.

Front

How do you solve the equation 7w = w + 30?

Back

Subtract w from both sides to get 6w = 30, then divide by 6 to find w = 5.

Front

What is the solution to the equation 5w + 5 = 8w - 10?

Back

w = 5.

Front

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

Back

To simplify the equation, making it easier to solve.

Front

What does it mean if an equation has no solution?

Back

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