1.1

Standards

• A1.1.6 Simplify numerical expressions, including those involving radicals and absolute value.

What does it mean?

Evaluating is a type of simplifying. It is where you turn it into a single, numerical answer.

EXAMPLE:Evaluate for x when x=3

X+ 9 ----------------- (3) + (9) = 12

Substitution

• If all variables are given a value, we can solve

+ y

Y = 2*2*

+

=

Bases and Exponents

32

BaseExponent

Multiply your base BY ITSELF the amount of the exponent.

3 * 3 = 9

Exponents

3

ponent

The NEX is ON the base.

Squared

Side 1

Side 2

Side * Side = Side2

Let’s say each side is 3 ft

3*3 = 9

Now, INCLUDE UNITS

9 ft2 or 9 square feet

Cubed

Side 1Si

de 2

Side

3

Side * Side * Side = Side3

Let’s say each side is 2 cm

2*2*2 = 8

Now, INCLUDE UNITS

8 ft3 or 8 cubic cm

So just remember…….

If something is “squared”

It’s 2-d….to the SECOND power

3 squared = 32

If something is “cubed”

It’s 3-d….to the third power

3 cubed = 33

1.2 OOOP

Order

• G -Grouping• E - Exponent• M - Multiplication• D -Division• A -Addition• S -Subtraction

Good effort makes daily acts satisfying!

Grouping

These include:

( ), [ ], | |, Fraction Bar

4+5

1+2

(4+5)

(1+2)

(9)

(3)3

GroupingIf you have parenthesis INSIDE a parenthesis, you start with the inner-most and go outwards.

[-3 * (4+2) ]

Exponent

• If you have an exponent to a parenthesis, do what is in the parenthesis first. THEN use that as your base.

(4-2)3 (2)3

8

Multiplication/Division

• Always do from left to right.

• Multiplication and Division…..Are the same!!!!

4 *12

42

Multiplication/Division

• Do you see any multiplication here?

-4 4

Addition/Subtraction

• Always do from left to right.

• Addition and subtraction….are the same!!!

8 – (-3)8+3

Addition/Subtraction

• Do you see any addition/subtraction here?

3

Exponent

Do you know the difference between:

(-2)2 And -22