Warm Up Identify a pattern and find the next 3 terms. 4, 8, 12, 16, … -4, -3, -2, -1, … Use order of operations to simplify each expression 3÷4+6÷4 5 2+5 ÷3 40+24 ÷ 8−22 −1 40+24 ÷8−(22−1) 7. Draw a Diagram showing the relationship of whole numbers, natural numbers, rational numbers, integers, irrational numbers and real numbers. Give an example of each.

1-3 Algebraic Expressions

Modeling Words with an Algebraic Expression Seven fewer than t t+7 -7t t-7 7-t Think: What operation does ‘seven fewer than t’ suggest?

Key Words to Identify Operations Addition (+) Subtraction (-) Multiplication (x) Division (÷) Sum Difference Product Quotient More than Less than Times Divided by Increased by Fewer than of Total Subtracted by Added to minus

Practice The difference of a number p and 36 2. 15 more than the number q 3. The product of 10 and a number r 4. The total of a number y and 9

Modeling a Situation To model a situation with an algebraic expression do the following: Identify the actions that suggest operations Define one or more variables to represent the unknown (s). Represent the actions using the variables and the operations.

Determine which quantity is unknown. You start with $20 and save $6 each week. What algebraic expression models the total amount you save? Determine which quantity is unknown. Starting amount Amount saved Number of weeks plus times Let w = the number of weeks 20 6 w + x

Evaluating Algebraic Expressions To evaluate an algebraic expression, substitute a number for each variable in the expression. Then simplify using the order of operations. What is the value of the expression for the given values of the variables. for a = -4 and b = 5 7 𝑎+4 +3𝑏 −8

Evaluate: 2( 𝑥 2 − 𝑦 2 ) 3 For x=6 and y=-3

Important Vocab Term- a number, a variable, or the product of a number and one or more variables. -4ax + 7w - 6 Coefficient- the numerical factor of a term. Constant term- a term with no variables Constant term coefficient term

Combine like terms: 7𝑥 2 + 3𝑦 2 + 2𝑦 2 − 4x 2

Combine like terms: − 3𝑘+𝑚 +2(𝑘−4𝑚)

Tonight’s Homework Pg. 22-23 #10-38 even, #46-52 even