1. 1-2: Evaluate and Simplify Algebraic Expressions Numeric expression = numbers, operations and grouping symbols Variable = LETTER used to represent a number Algebraic expression = numbers, operations, grouping symbols and VARIABLES (letters) Algebraic equation= 2 expressions separated with an equal sign. Both sides represent the same value (are equal). Power = A base raised to an exponent Example: 7³ means 7·7·7 base is 7 (the number we multiply) exponent is 3 (how many times we multiply the number)

2. Expression Vocabulary Terms= parts of expressions, separated by addition or subtraction Variable= the letter in a term 3x Coefficient= # in front of a variable (part of the term) 3x Constant = a term without a variable (plain #) 3x -4y + 12

3. Evaluating Expressions Use ORDER OF OPERATIONS Please Excuse My Dear Aunt Sally Substitute values(#’s) in for variables is possible 1) Work inside ( ) or other grouping symbols 2) Apply Powers (exponents) 3) Multiply and Divide from Left to Right 4) Add and Subtract from Left to Right

4. Examples: Evaluate 1. 1 + 7² · (5 – 3) 2. 2(-1)⁴ - 4(-2+1)³ (TA) 3. -4(x)² - 6(x) + 11 if x= -3 (TA)

5. Expressions vs. Equations Expressions Can include #’s, operations and variables (letters) Only ONE side (no =) Can be simplified using order of operations Can NOT be solved, but may be simplified or evaluated Equations Can include #’s, operations and variables (letters) TWO sided; separated with = Each side is an expression that can be simplified separately with order of operations Can be solved by isolating (get it alone) a variable Identities (2 equivalent or = expressions)

6. Simplifying Expressions 1) Simplify inside ( ) if possible 2) Distribute if possible 3) Combine LIKE TERMS Have same variables with same powers Variables and Powers remain the SAME Add or subtract the COEFFICIENTS (#’s out front) Follow these steps on EACH side of an equation first BEFORE solving an equation

7. Examples: Simplify the Expressions 1. 5x² - 2x + 8x² + 10 2. 7(x – 3) + 4(x +5) 3. 4xy² + 5x²y – 6x +3xy² - 2x²y + 4x² -2x + 5y 4. 4x² - 12x -9x² + 3(4x + 7) (TA) 5. 3(x² + x) – 5(x² - 7) (TA)

8. Assignment 1-2 1.2 pp. 13-14 # 1,4,5,8,10,12,13,16-32 even, 33,38,46,50 Study for quiz on Wed. (8/29) over 1.1-1.2