Warm-Up Write an algebraic expression for the following phrases. 5 less than the product of 3 and a number t. Twice the sum of a number b and 8. Try to translate the algebraic phrase into a verbal phrase. 3. 4 – (d / 6) 4. (x + 7) / 2

1.2 – Order of Operations and Evaluating Expressions Goals: to simplify expressions involving exponents to use the order of operations to evaluate expressions

Simplifying Powers: power nth power base exponent An expression like xn is called a ________________ and is read “x to the _____ ______________.” x is called the ______________ (the number being multiplied) and the n is called the _______________ (it tells how many times the base is used as a factor.) power nth power base exponent

8 8 8 ● 8 64 8● 8● 8 512 8 ●8 ●8 ●8 4096 8 ●n ●n ●n ●n ●n 1st 2nd squared 3rd 8● 8● 8 512 cubed 4th 8 ●8 ●8 ●8 4096 times 8 ●n ●n ●n ●n ●n Depends on the value of “n” 5th

Evaluating Powers 2●2 ●2 ●2 ●2 ●2 64 64 4●4 ●4 32,768

Practice:

Simplifying a Numerical Expression grouping symbols innermost parentheses ( ) brackets [ ] braces { } radical sign fraction bar exponents multiplication division left right addition subtraction left right

48 ÷ 8 ● 3 + 5 6● 3 + 5 18 + 5 23 18 + 8 – 3 26 – 3 23 6 + 4 – 6 10 – 6 4

Evaluate the expressions for x = 3 and y = 5. Evaluate the expressions for a = 2 and b = 6 x + y2 – xy (y – x) + 4(xy) 3. (a + b)2 4. a2 + b2