algebraic expressions · evaluating expressions to find the value of a numerical or algebraic...

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.

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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.

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