Radio within graded group - multiple answers

An equation is a statement that two expressions are equal. For example, the expression $5+3$‍ is equal to the expression $6+2$‍ (because they both equal $8$‍), so we can write the following equation:

Here are two more examples of equations:

Let's make sure we know the difference between an expression and an equation.

All of the equations we just looked at were true equations because the expression on the left-hand side was equal to the expression on the right-hand side. Let's make sure we understand what a true equation is.

All of the equations that we've looked at so far have included only numbers, but most equations include a variable. For example, the equation $x+2=6$‍ has a variable in it. Whenever we have an equation like this with a variable, we call it an algebraic equation.

For an algebraic equation, our goal is usually to figure out what value of the variable will make a true equation.

For the equation $x+2=6$‍, notice how $x=4$‍ creates a true equation and $x=3$‍ creates a false equation.

The value of the variable that makes a true equation is called a solution to the equation. Going back to our example, $x=4$‍ is a solution of $x+2=6$‍ because it makes the equation true.