Advanced Algebra Chapters 1-2 Practice Vocabulary

Vocabulary practice and mathematical definitions covering Chapters 1 and 2 of Ms. Zinter's Advanced Algebra course.

Fibonacci Sequence (first 10 numbers)

$$1, 1, 2, 3, 5, 8, 13, 21, 34, 55$$

Golden Ratio

$$1.6$$

Natural Numbers

$$1, 2, 3…$$

Whole Numbers

$$0, 1, 2, 3…$$

Integers

$$-3, -2, -1, 0, 1, 2, 3…$$

Rational Numbers

Decimals that end or repeat

Irrational Numbers

Decimals that never end or don't repeat

Absolute Value

How far a # is from $0$

Equation

Has an "$\mathbf{=}$ "

Sum

$$+$$

Difference

$$-$$

Product

$$\times$$

Quotient

$$\div$$

Order of Operation

PEMDAS

Variable

Symbol representing #

Simplify

Doing all operations possible

Evaluate

Plug in value for variable, simplify

Commutative Property

$a+b = b+a$ and $a \cdot b = b \cdot a$

Associative Property

$(a+b)+c = a+(b+c)$ and $(a \cdot b) \cdot c = a \cdot (b \cdot c)$

Distributive Property

$$a(b+c) = ab + ac$$

Symmetric Property

If $a = b$, then $b = a$

Transitive Property

If $a = b$ and $b = c$, then $a = c$

Addition Property

If $a = b$, then $a+c = b+c$

Multiplication Property

If $a = b$, then $ac = bc$

Unique

$a+b = \text{unique}$ (no other #)

Subtraction

Addition of an additive inverse

Division

Splitting one polynomial expression by another for quotient

Solve

Find all valves of the variables

Solution/Root

Specific valve/set of variables

Formula

Mathmatical rule

Changing the inequality sign when solving

When divide by negative

Absolute value inequalities ("and" vs "or")

"and" represents More; "or" represents less

Graphing an "and"

Overlap

or

$2$ diff. Ways