Chapter 1 Section 1-2 Exponents and Order of Operations

Problem of the Day Which equation models the relationship in the table if “r” represents the row number and “t” represents the number of tulips? A. r= 3t B. r = 3 t C. t = r + 3 D. t = 3r Row NumberNumber of Tulips

Problem of the Day Answer is D. t = 3r T= total # of tulips R = total # of rows 1 row of tulips = 3 tulips 2 rows of tulips = 6 tulips 3 rows of tulips= 9 tulips Do you see the pattern?

Lets Get Started Vocabulary Simplify= replace a numerical expression with its simplest name. AKA= Solving a multiple step problem Exponent= tells how many times a number Base= it’s a factor Power= has two parts, a base and an exponent

Order of Operations To solve math problems with more than one operation (+, -, x, ÷ ), remember this order Please Excuse My Dear Aunt Sally Please = Parentheses Excuse= Exponents My Dear= Multiply and/ or Divide Aunt Sally= Add and/ or Subtract

There are no parentheses, so I simplify the power Next, I multiply 8 x 2 Then, I subtract Now I solve:

3 Evaluate 3a – 2 ÷ b for a = 7 and b = 4 I substitute 7 for a, and 4 for b Simplify the power Multiply and Divide from left to right Subtract

The equation c= p p represents the cost “c” of a pair of sneakers with price “p” and sales tax of 6%. Use a table to find the cost for $45, and $59 pairs of sneakers. Price P P pCost C $ (20)$21.20 $ (30)$31.80 $ (45) $ (59)

Simplify 15( 13 – 7) ÷ ( 8 – 5) Simplify with Parentheses first Multiply and Divide from left to right

Evaluate each expression for c= 15 and d= 12 2 (cd) 2 (15 x 12) Substitute 2 (180) Simplify within parentheses 32,400 2 cd 2 15 x12 Substitute 15 x 144 Simplify the power 2,160 Simplify

2 Simplify 2[(13 – 7) ÷ 3] First, simplify within the parentheses Simplify the exponent Divide within the bracket Multiply

A neighborhood association turned a vacant lot into a park. The park is shaped like the trapezoid below. A = h (b 1 + b 2 ) 2 Substitute 130 ( ) 2 Simplify 130 (300) the numerator 2 Simplify the fraction 130(150) Multiply = 19,500 Image 1 B 1 = 100 ft H= 130ft b 2 = 200 ft

Lets Check Your Understanding Problem 1 3 Simplify ÷ Problem 2 Evaluate 2ab + c For a= 3.3 b= 4.5 c= 2

Answers!!! Problem 1 Answer is Problem 2 Answer is 31.7

Homework Time! In your text book, complete pages 12-13, numbers 2-30 even