3/30/2011
Definition
Scientific Notation
Objectives: To express numbers
using scientific notation and to
convert numbers to and from
scientific notation.
Steps for Converting to
Scientific Notation
Mo
Linear Equation in one Variable
Addition Property of
Equality
Objectives: To identify linear
equations and to use the addition
property of equality.
VOCABULARY Review
Equation - math sentence with an
8/31/2009
The Golden Rule of Solving Equations
Multiplication Property of Equality
Do unto one side of
an equation as you
an equation as you
would do unto the
other side.
More PROPERTIES
Review of Pro
8/31/2009
Solve and check.
More on Solving Equations
OBJECTIVE: TO USE ADDITION,
SUBTRACTION, MULTIPLICATION, AND
DIVISION TO SOLVE EQUATIONS.
a) h 4 = 10
b) 8p - 3 = 13
Add 4 to both sides.
h = 14
CH
VOCABULARY
FORMULAS
Objective: To solve equations
by working with formulas.
Example 1
The width w is 75 feet and the
perimeter P is 300 feet. Use the
formula P = 2l + 2w to find the length l.
300 = 2l
Vocabulary and Signs
Linear Inequalities
Objective: To graph intervals and
solve inequalities.
Linear inequality Ax + B < C
Solution of an inequality- any number that
makes the inequality true.
Signs
8/21/2009
VOCABULARY
Term a number, a variable, or a product of
a number & variable(s)
Constant a term that has no variable (a
Simplifying Expressions
number by itself)
number by itself)
Coefficient a
Vocabulary
Equations of Lines
Todays objective: To write and
graph lines in slope-intercept
form and point-slope form.
Find the slope and y-intercept of each
equation.
a) y= -2x + 1
b) y = -(4/5)x
c)
Review: Base and Exponent
Integer Exponents Rules
OBJECTIVE: TO USE
EXPONENT RULES TO
SIMPLIFY
EXPRESSIONS .
Identify the base and the exponent in each of the
following. Pay close attention to parenth
Square of a binomial
SPECIAL PRODUCTS
Objective: To use patterns to find
(a + b)2
(a - b)2
(a + b)(a - b)
(a + b)2 = a2 + 2ab + b2
(a - b)2 = a2 2ab + b2
Do you notice a pattern here?
Steps for squari
Zero Exponent
n0 = 1
-n0 = -1
(-n) 0 = 1
In other words, when raising a base to the
zero power, that part becomes 1.
Integer Exponents Rules
Objective: To use Exponent rules to simplify expressions.
Z
Think of the problem this way:
Separate the numerator into individual
fractions over the denominator and simplify.
Objective: To divide a polynomial by a
monomial.
5a 2b 15ab 3 + 10a 3b 4 5a 2b 15ab3
Definitions
Variable a symbol, usually a letter,
that represents one or more numbers
Al
Algebraic expression a math phrase
that can include numbers, variables,
and operation symbols
Equation math sent
Definitions
Exponents and Order of
Operations
Objective: To use exponents, the
order of operations, and grouping
symbols.
variable a symbol, usually a letter,
that represents one or more numbers
algeb
Reminder
FACTORING TRINOMIALS
ax2 + bx + c
FACTORING REVERSES
MULTIPLICATION.
For example: What can you multiply to get
4? x2? 6x2?
Answer: 1 times 4 or 2 times 2;
x times x
2x(3x) or 6x(x)
OBJECTIVE:
Review
Special Factoring
Objectives: To factor the difference
of two squares and to factor Perfect
Square Trinomials.
Multiply using FOIL: (x 3) (x + 3).
x2 + 3x 3x - 9
Answer: x2 9
Remember: the outs
Solving Quadratic Equations by
Factoring
Objective: To use the zero factor
property to solve equations.
Steps for Solving Quadratic
Equations w/ Factoring
Zero Factor Property
If ab = 0, then a = 0 or
Review
Solving Equations
Applications of Quadratic
Equations
Objectives: To write equations from given
information and use the six steps in solving an
applied problem.
IMPORTANT INFO!
Verbal Expressio
Rule: top x top
bottom x bottom
Objective: To multiply and divide
rational expressions.
Want to Cancel before Multiplying? Fine!
(Its like reducing first!) But
Cancel only top to bottom!
For Example:
Adding & Subtracting
Rational Expressions
Review - adding or subtracting
fractions
EXAMPLE :
14 15
+
35 35
Objective: To add and subtract
rational expressions with like or
different denominators.
Exam
Joke of the Day
Systems of Linear Equations in Two
Variables Elimination Method
Objective: To solve systems of
equations using the elimination
method.
Are the given ordered pairs solutions of
the give
Product Rule for Radicals
If n a and n b are real numbers and
n is a natural number, then
Simplifying Radicals
Objective: To simplify radical
To simplify radical
expressions using the product
and quot
Joke of the Day: Top Ten Excuses for
not Doing Quizzes or Homework
10. I locked the paper in my trunk but a four
dimensional dog got in and ate it.
9. I couldn't figure out whether I am the square of