Equations - Variables on both sides

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

How do you isolate a variable in an equation?

Back

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

Front

What is the first step in solving the equation 3x = 15 - 2x?

Back

The first step is to add 2x to both sides to combine like terms.

Front

What is the solution to the equation 3x = 15 - 2x?

Back

x = 3.

Front

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

Back

x = 18.

Front

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

Back

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

Front

What is the solution to the equation -2y + 8 = 4y - 10?

Back

y = 3.

Front

What is the solution to the equation -7x - 36 = 20 - 3x?

Back

x = -14.

Front

What is the solution to the equation -38 + 6x = 52 + 3x?

Back

x = 30.