Equations and Expressions
Objective edit
In this lesson, we will cover variables, expressions, equations, and methods of manipulating them.
Methods of manipulation include simplifying, substituting, and solving.
Key Terminology edit
Term | Definition | Part of Speech |
---|---|---|
Variable | A symbol used to represent a quantity that can change. Variables are numbers. | Noun |
Expression | A representation of a quantity that uses numbers or variables, or the mathematical product of both. | Noun |
Equation | A statement of equality using the symbol . The quantities on each side of the equal sign are the same a each other. | Noun |
Solution | A value or values that make equations true. | Noun |
Manipulate | Modify an expression or an equation in a way that changes what's written on the page. | Verb |
Solve | Look for solutions | Verb |
Simplify | Rewrite an expression as a less complicated expression | Verb |
Substitute | Replace a value with another thing of equal value | Verb |
Variables and Expressions edit
Equations edit
A simple equation:
2a+3b+c = 0
This equation has 3 variables (a,b and c);; 3 terms (2a, 3b and c);; and this equation is an equality, because here is an equal sign (=) between both sides of the equation.
Next: solution to a simple algebra problem. Solve the following equation for (a):
- -- - - - - - - - - Some trig stuff:
sin ɵ = Opposite-Side/Hypotenuse
cos ɵ = Adjacent-Side/Hypotenuse
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