algebraic expressions · evaluating expressions to find the value of a numerical or algebraic...
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ALGEBRAICEXPRESSIONS
Order of Operations
Quality Core C.1.a C.1.b C.1.c
ORDER OF OPERATIONS
What do you think of
when you hear….
ORDER OF OPERATIONS
ParenthesesExponentsMultiplication/ DivisionAddition/ Subtraction
PEMDAS
CLASS EXAMPLES
YOU TRY!
HOMEWORK
Only complete the questions without ( )!
CLASS EXAMPLES
15 x 8 + 5
120 + 5
125
8 x 7 x 10
56 x 10
560
60 / 15
4
Plus
Plus
Plus
Plus
Plus
Plus
3 x 2 x 13
6 x 13
78
32 / 2
16
9 + 10/5
9 + 2
11
YOU TRY!
6 ÷ 2(1 + 2)
6 ÷ 2(3)
6 ÷ 6
1
HOMEWORK
Complete the rest of the page.All questions should be completed.
KICK IT UP A NOTCH!
EVALUATING EXPRESSIONS
To find the value of a numerical or algebraic expression.
What does Evaluate Mean?
REMEMBER…
CLASS EXAMPLES
3y + 2y when 5 = y
3(5) + 2(5)
15 + 1025
CLASS EXAMPLES
CLASS EXAMPLES
HOMEWORK1-5
9-14
16-20
Choose 1 question from 23-26
Choose 10 from the front.
Choose 10 from the back.
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LET’S APPLY THE PROPERTIES
Associative Property – Changing the grouping of the numbers does not change the result of an operation.
(a + b) + c = a + (b + c)
Examples: (3 + 4) + 5 = 3 + (4 + 5)
(2 x 3) x 4 = 2 x (3 x 4)
PROPERTIES CONTINUED
Commutative Property – Changing the order of numbers does not change the result of an operation.
a + b = b + a
Examples: 5 + 9 = 9 + 5
3 x 7 = 7 x 3
PROPERTIES CONTINUED
Distributive Property – Distributing one operation over another and the answer is the same.
a(b + c) = ab + ac
Examples: 2(4 + 1) = 2(4) + 2(1)
3(13 – 4) = 3(13) – 3(4)
PROPERTIES CONTINUEDAdditive Identity– The identity for addition is the number
0, because 0 added to any number is equal to that same number.
a + 0 = a
Examples: 202,465 + 0 = 202,465
Multiplicative Identity– The identity for multiplication is the number 1, because 1 multiplied to any number is equal to that same number.
a x 1 = a
Examples: 521 x 1 = 521
PROPERTIES CONTINUEDAdditive Inverse – The sum of a number and its opposite
is equal to 0.
a + (-a) = 0
Examples: 542 + (-542) = 0
PROPERTIES CONTINUED
Substitution – One name of a number can be substituted for another name of the same number in any expression.
Examples: If, 5 + 5 = 10
Then, 5 + 5 + 6
10 + 6
16
ASSIGNMENTIn groups of 2, complete the vocabulary handout.
It must be completed today!
ONLY 100% CORRECT ACCEPTED!
WRITING EXPRESSIONS
Two more than a number, n
How do you write an expression
if given a statement?
n + 2
WRITING EXPRESSIONS
What vocabulary is important?
HOMEWORKUsing the vocabulary from the previous slide, complete each of the questions as homework.
Using the vocabulary from the previous slide, complete each of the questions as homework. Also create 5 writing expressions questions with an answer key.
ALG. I ALG. I CP
SIMPLIFYING ALGEBRAIC EXPRESSIONS
What is an algebraic
expression?
An algebraic expression is a mathematical expression that consists of variables, numbers and operations.
SIMPLIFYING ALGEBRAIC EXPRESSIONS
COMBINE LIKE TERMS!
How do you simplify an
Algebraic expression?
Which of the following are like terms?
13n 5 7n 6n2 13
CLASS EXAMPLES
CLASS EXAMPLES
CLASS EXAMPLE
4n + 30
CLASS EXAMPLE7x – 2 + 6x2 – 3x + 5
6x2 + 4x + 3
SIMPLIFYING AND COMBINING LIKE TERMS HANDOUT
Identify the coefficients, variables, and exponents.
Complete questions 1-6.
HOMEWORKComplete 5 of the 9 Practice Examples.
Complete all 9 of the Practice Examples.
ALG. I ALG. I CP