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 (3) + (9) = 12

Substitution If all variables are given a value, we can solve 2*

Bases and Exponents 3 2 Base Exponent 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 = Side 2 Let’s say each side is 3 ft 3*3 = 9 Now, INCLUDE UNITS 9 ft 2 or 9 square feet

Cubed Side 1 Side 2 Side 3 Side * Side * Side = Side 3 Let’s say each side is 2 cm 2*2*2 = 8 Now, INCLUDE UNITS 8 ft 3 or 8 cubic cm

So just remember……. If something is “squared” It’s 2-d….to the SECOND power 3 squared = 3 2 If something is “cubed” It’s 3-d….to the third power 3 cubed = 3 3

1.2 OO OP

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) (9) (3) 3

Grouping If 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 *

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)

Addition/Subtraction Do you see any addition/subtraction here? 3

Exponent Do you know the difference between: (-2) 2 And -2 2