Equations - Variables on both sides - Basic 2

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.

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.

Front

What is the first step in solving an equation like 9x - 15 = 7x + 15?

Back

The first step is to isolate the variable terms on one side of the equation.

Front

How do you isolate the variable in the equation 9x - 15 = 7x + 15?

Back

Add 15 to both sides and subtract 7x from both sides to get 2x = 30.

Front

What is the solution to the equation 9x - 15 = 7x + 15?

Back

x = 15.

Front

What is the importance of balancing an equation?

Back

Balancing an equation ensures that both sides remain equal after performing operations.

Front

How do you solve the equation -x - 6 = -4x + 9?

Back

Add x to both sides and add 6 to both sides to get 3x = 15.

Front

What is the solution to the equation -x - 6 = -4x + 9?

Back

x = 5.

Front

What is the next step after isolating the variable terms in the equation x + 7 = -5x + 31?

Back

Combine like terms and then isolate x.

Front

What is the solution to the equation x + 7 = -5x + 31?

Back

x = 4.