ALGEBRA
CHAPTER 10
SECTION 10-2: SIMPLIFYING RADICALS
OBJECTIVE:
to simplify radicals involving products and
quotients
1)
A Radical Expression is an expression containing a radical
(e.g. , ). In a fully simplified radical expression, the following
must be

ALGEBRA
CHAPTER 10
SECTION 10-1: THE PYTHAGOREAN THEOREM
OBJECTIVE:
to solve problems using the Pythagorean
Theorem
to identify right triangles
1)
The sides of a right triangle have specific names. The sides
forming the right angle are the Legs, and the s

ALGEBRA 1-2
CHAPTER 1
SECTION 1-2:
ORDER OF OPERATIONS
OBJECTIVE:
To simplify expressions involving exponents
To use the order of operations to evaluate
expressions
1)
A power has two parts, a base and exponent. The exponent
tells you how many times to us

ALGEBRA 1-2
CHAPTER 1
SECTION 1-8:
An Introductions to Equations
OBJECTIVE:
To solve equations using tables and
mental math
1)
An Equation is a mathematical sentence that can
uses an equal sign (=).
2)
An equation is true if the expressions on either side

ALGEBRA 1-2
CHAPTER 1
SECTION 1-7:
THE DISTRIBUTIVE PROPERTY
OBJECTIVE:
To use the Distributive Property to simplify
expressions
1)
The Distributive Property states for any numbers a,
b, and c,
a(b + c) = ab + ac
(b + c)a = ba + ca
a(b c) = ab ac
(b c)a =

ALGEBRA 1-2
CHAPTER 1
SECTION 1-5: ADDING AND SUBTRACTING REAL
NUMBERS
OBJECTIVE:
To find sums and differences of real
numbers.
1)
You can add or subtract any real number using a
number line model. You can also add or subtract real
numbers using rules inv

ALGEBRA 1-2
CHAPTER 1
SECTION 1-3: REAL NUMBERS AND THE NUMBER LINE
OBJECTIVE: To classify, graph, and compare real numbers
To find and estimate square roots
1)
A Square roots is a number that produces a specified
number when it is multiplied by itself.
2

ALGEBRA 1-2
CHAPTER 1
SECTION 1-6: MULTIPLYING AND DIVIDING REAL
NUMBERS
OBJECTIVE:
To find products and quotients of real
numbers
1)
The Multiplication of Property Real Numbers
states the product of two real numbers having the
same sign is positive and t

ALGEBRA 1-2
CHAPTER 1
SECTION 1-9:
PATTERNS, EQUATIONS, AND
GRAPHS
OBJECTIVE:
To use tables, equations, and graphs to
describe relationships
1)
Review, y-axis, x-axis, origin, coordinate plane,
coordinate, and quadrants.
2) A solution of an equation with

ALGEBRA 1-2
CHAPTER 1
SECTION 1-4: PROPERTIES OF REAL NUMBERS
OBJECTIVE:
To identify and use properties of real
numbers
1)
Relationships that are always true for real numbers
are called properties, which are rules used to rewrite
and compare expressions.

ALGEBRA
CHAPTER 10
SECTION 10-5: GRAPHING SQUARE ROOTS FUNCTIONS
OBJECTIVE:
1)
to graph square root functions
to translate graphs of square root functions
A Square Root Function is a function containing a square
root with the independent variable (usually

ALGEBRA 1-2
CHAPTER 1
SECTION 1-1:
VARIABLES AND EXPRESSIONS
OBJECTIVE: Write mathematical expressions for verbal
expressions
Write verbal expressions for mathematical
expressions
1)
Quantity is anything that can be measured or counted.
Some quantities ar

ALGEBRA
CHAPTER 10
SECTION 10-3: OPERATIONS WITH RADICALS
EXPRESSIONS
OBJECTIVE:
to simplify sums and differences radicals
expressions
to simplify products and quotients of radical
expressions
1)
Like Radicals are radicals with the same radicand such as
3

ALGEBRA
CHAPTER 10
SECTION 10-4: SOVLING RADICALS EQUATIONS
OBJECTIVE:
to solve equations containing radicals
to identify extraneous solutions
1)
A Radical Equation is an equation with a variable in a
radicand (e.g. x - 5 = 3 or x - 2 = 1 ). The radicand

ALGEBRA
CHAPTER 10
SECTION 10-6: Trigonometric Ratios
OBJECTIVE:
1)
to find and use trigonometric ratios
Trigonometric Ratios
sine of A = length of leg opposite A = a
length of hypotenuse
c
cosine of A = length of leg adjacent to A = b
length of hypotenus