Algebra (Linear Equation)

Why learn algebra?

Knowing how to solve linear equations will help you solve some dilution problems.

Note: Linear equation is a mathematical statement that performs functions of addition, subtraction, multiplication, and division. Also linear equations is an equation in which every variable term is raised to the first power such as x^{1}

^{The word linear is used because the graphs of those equations are just straight lines}

^{Variable: Is a symbol that can represent a value that is unknown such as X}

Lets start with a basic problem:

[Ex] 7x - 7 = 42

7x - 7 +7 = 42 + 7 --------< we need to isolate the variable (x) by adding 7 both sides

7x = 49

x = 49

Reminder: When an equation starts with a minus (-) sign you would have to do the opposite to isolate X which in this case you would add (+) both sides as shown in the example above. Always add or subtract both sides of the equation.

Okay now try this one:

Ex: 5 + (x - 2) = 20

5 + (x - 2) -5 = 20 -5 (subtract 5 to isolate 5+)

x-2 = 15

x-2 + 2 = 15 + 2 (add 2 to isolate X)

X = 17

[Here is how we know our answer was correct by plugging the answer in the equation]

5 + (x - 2) = 20

5 + (17 - 2) = 20

17 - 2 = 15 + 5 = 20

Now took what you learned from algebra and analyze the tutorial below to see how algebra relates to pharmacy calculations.