Download Algebra 1.1, 1.2, 2.1-Expressions and Real Numbers day 2.notebook

Algebra 1.1, 1.2, 2.1­Expressions and Real Numbers day 2.notebook
Algebra: Please clear your desk except for . . .
September 15, 2016
Algebra Scavenger Hunt
1. Summer Assignment/
Opening Day Problems
2. Pencil
3. Algebra Scavenger Hunt
Stay seated and start
working on the scavenger
hunt until you are given
further instructions.
Opening Day Problems
1. Complete Warm-up #1
2. Go to the back of the room when you are done!
Warm-up #1
1.
3.
5.
6.
2.
4.
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Algebra 1.1, 1.2, 2.1­Expressions and Real Numbers day 2.notebook
September 15, 2016
How are basic operations applied to different forms of numbers?
Decimals
Fractions/Mixed Numbers
Why "move the decimal point"?
Operations:
+ or ­
x
How are numeric and algebraic expressions
evaluated and simplified?
Variable vs Constant
Variable Expressions
can have different values.
Constant Expressions
have a fixed value.
How do we read it?
th
a to the x power
Evaluate
Simplify
Perform all of the operations!
Equation vs Expression
*
Equations can be solved .
There must be an equal sign
present to have an equation.
Expressions can be simplified
or evaluated for a specific
value of the variable(s).
Do not use equal signs.
*
How are multiplication and division written in Algebraic expressions?
Multiplication
Division
How do we evaluate it?
multiply "a" by itself "x" times
Ex 1:
Ex 2:
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Algebra 1.1, 1.2, 2.1­Expressions and Real Numbers day 2.notebook
Order of Operations
Evaluate each expression. Show all steps and circle your final answer.
PEMDAS
1.
2.
3.
4.
September 15, 2016
2.
1.
Perform any operations within grouping symbols.
Evaluate exponents.
Multiply or divide from left to right.
Add or subtract from left to right.
Evaluate each expression for the given value of the variable.
when
Evaluate each expression. Show all steps and circle your final answer.
6.
5.
3.
when
4.
What are the Grouping Symbols?
P
B
F/D
Parenthesis
Brackets
Counting Numbers:
Fraction/Division Bar
Whole Numbers: {0, 1, 2, 3, 4, 5, . . .}
A
Absolute Value
R
Radical Symbol
!
What are the different types of numbers?
Factorial
{1, 2, 3, 4, 5, 6, . . .}
also known as the natural numbers
the counting numbers and zero
Integers: {. . . ­3, ­2, ­1, 0, 1, 2, 3 . . .}
the whole numbers and their opposites
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Algebra 1.1, 1.2, 2.1­Expressions and Real Numbers day 2.notebook
Rational Numbers:
numbers that can be expressed as a fraction of integers ­ integers are included in this set
Irrational Numbers:
Real Numbers:
September 15, 2016
Is a repeating decimal a rational or an irrational number?
Let
Let
numbers that cannot be expressed as a fraction of integers
all of the rational and irrational numbers
Imaginary Numbers:
Repeating dec
Real Number Line
Graph the following numbers:
Absolute Value of a number:
the distance between the number and zero
(the number of units away from zero)
Ex 1:
Absolute value is a grouping symbol!
This forces you to evaluate inside the bars first.
Ex 3:
Ex 2:
Evaluate each expression if x = -8.
Ex 8:
Ex 9:
Ex 10:
Ex 11:
Ex 12:
Ex 13:
Evaluate each expression.
Ex 4:
Ex 6:
Ex 5:
Ex 7:
Ex 14:
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Algebra 1.1, 1.2, 2.1­Expressions and Real Numbers day 2.notebook
Assignment #4: p. 10-11 #3-31odd
p. 68 #17 and 22 (graph), 43-49 odd
Instructions for all assignments:
1. Put your name, date, and period in the upper right hand corner of your paper.
2. Put the assignment number as well as the page number and problem numbers on the first line on the left.
3. Copy all original problems!
4. Show steps vertically!
Name
A #4
p. 10-11 #3-31 odd
5. Circle final answers!
Date
p. 68 #17, 22, 43-49 odd
Period
September 15, 2016
Complete p. 12 #45-52 below.
Remember to:
1. Copy Original Problems.
2. Show all steps vertically.
3. Circle final answers.
Warm-up: p. 12 #45-52
45.
49.
51.
46.
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48.
50.
52.
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